RBAstroHistForm - iby.it · Microsoft Word - RBAstroHistForm.doc Author: Rodolfo Baggio Created Date: 20020731142721Z ...

Astronomia

Formule e Tabelle

Rodolfo Baggio

Milano, ottobre 2000 ultima revisione: dicembre 2001

2

Sommario

INTRODUZIONE 4

TEMPI 5

Definizioni 5 Ore / gradi 7 Tempo siderale 7 Sorgere e tramonto 7

CRONOLOGIA 8

Calendario perpetuo 8 Transizione dal calendario Giuliano a quello Gregoriano 9 Calcoli sul calendario 10

AA (numero dell'anno) 10 Anno Bisestile 10 Numero solare e Lettera Domenicale 10 Epatta e Numero Aureo 11 Numero del giorno nell'anno 11

Data di Pasqua 13 Giorno Giuliano (JD) 13

Calcolo di JD 14 Giorno Giuliano Modificato 14 Epoca standard J2000.0 14 Numero di giorni dall'epoca J2000.0 14 JD approssimato 14 Giorno della settimana 14 Tabelle per il calcolo di JD 15 Astrodate 17

Cicli periodici 17 Altri calendari 18

COORDINATE CELESTI 19

Trasformazione di coordinate 19 Orizzontali ed Equatoriali 19 Equatoriali e Eclittiche 19 Altezza e Azimuth 19 Altezza sull'orizzonte al meridiano 20 Azimuth dei punti di sorgere e tramonto 20 Declinazione di un oggetto sull'eclittica 20 Ora approssimata di alba / tramonto 20 Correzione all'altezza per rifrazione 20 Allineamenti 20 Potere risolutivo dell'occhio 21 Semiarco Diurno 22

PRECESSIONE 24

Precessione approssimata 24 Coefficienti per il calcolo della precessione 25

3

SOLE, LUNA E PIANETI 27

Posizioni di Sole, Luna e Pianeti 27 Massima declinazione della Luna 28 Età della Luna 28

Posizione del Sole 28 Declinazione approssimata del Sole 29 Massima declinazione del Sole 29 Equazione del Tempo 29 Posizioni approssimate del Sole 29 Altezza del Sole durante il giorno 30 Apogeo (Auge) Solare 30

DELTA T 31

COORDINATE DELLE STELLE PIÙ BRILLANTI (J2000.0) 33

TRIGONOMETRIA PIANA 34

Definizioni 34 Identità trigonometriche 34 Elementi di un triangolo 34 Funzioni di angoli opposti, complementari, supplementari 35 Valori principali 35 Calcolo dell'arcotangente 35

TRIGONOMETRIA SFERICA 36

Sfera trigonometrica 36 Principali relazioni trigonometriche 38 Triangoli sferici rettangoli 39

SIMBOLI 40

COSTELLAZIONI 43

Costellazioni obsolete 45

TAVOLE TRIGONOMETRICHE 46

BIBLIOGRAFIA 49

CARTE E MAPPE 50

CATALOGO STORICO 58

CATALOGO DI YALE 83

COPYRIGHT 89

4

Introduzione Questo lavoro è dedicato a tutti coloro i quali hanno interesse o necessità nell'utilizzo dell'astronomia per ricerche storiche. Un lavoro come questo può sembrare un controsenso in un'epoca in cui la diffusione di sistemi di calcolo è così elevata e in cui uno qualunque delle svariate centinaia di software disponibili può fornire tutte le informazioni richieste con grande precisione e a costi molto ridotti se non inesistenti. Ma non sempre il computer è a portata di mano, spesso la familiarità con i programmi non è tanta, o, semplicemente, non si ha il tempo o la voglia di accendere il computer, far partire il programma, stampare i risultati. O magari ci si trova in un posto dove non è possibile usare un computer. E poi molti dati non sono sempre facilmente ottenibili da tutti i programmi, costruiti più per l'osservatore amatoriale di oggi che non per chi fa ricerche storiche. A volte è più rapido usare una formula approssimata, fare qualche calcolo a mente o con una calcolatrice tascabile o cercare un valore in una tabella già calcolata. Spesso, infatti, quello che serve è un modo rapido per una prima verifica, i conti precisi si faranno poi. In questo volume troverete formule approssimate per il calcolo di tempi e posizioni dei corpi celesti (stelle e pianeti), per calcoli riguardanti le date, le tabelle con i coefficienti per il calcolo della precessione e tavole trigonometriche e aritmetiche. Infine il catalogo con le posizioni delle stelle più brillanti calcolate riducendole per la precessione ogni cento anni fino al 4713 a.C.

5

Tempi

Definizioni

Anno Durata Descrizione Anno tropico 365d05h48m45.98s Intervallo tra due ritorni del Sole allo stesso punto equinoziale

(equinozio di primavera). Anno civile 365d o 366d Anno del calendario (giuliano o gregoriano) che mantiene una

durata media molto prossima a quella dell'anno tropico con il meccanismo degli anni bisestili.

Anno sidereo o siderale

365d06h09m09.54s Tempo impiegato dalla Terra a compiere una rivoluzione intorno al Sole, ovvero l'intervallo tra due ritorni del Sole allo stesso punto rispetto alle stelle fisse. La differenza tra quest'anno e quello tropico è nota come precessione degli equinozi.

Anno besseliano 365d05h48m45.98s Intervallo tra due ritorni del Sole a longitudine = 280° Questo anno dunque non inizia alle ore 0h del 1 Gennaio, ma qualche ora dopo o prima a seconda degli anni.

Anno anomalistico 365d06h13m53.01s Intervallo tra due ritorni del Sole al perigeo (o della Terra al perielio).

Anno del'eclissi 346d14h53m46.33s Intervallo tra due ritorni del Sole su un nodo dell'orbita.

Mese Durata Descrizione Mese sidereo o siderale

27d 7h 43m 11.5s Intervallo di tempo compreso tra due congiunzioni successive della Luna con la stessa stella

Mese tropico 27d 7h 43m 4.7s Intervallo di tempo compreso tra due passaggi successi della Luna attraverso il cerchio orario dell'equinozio di primavera.

Mese sinodico o lunazione

29d 12h 44m 2.9s Intervallo di tempo compreso tre due fasi lunari uguali e successive

Mese anomalistico 27d 13h 18m 33.2s Intervallo di tempo compreso tra due passaggi consecutivi della Luna al perigeo

Mese draconico o draconitico

27d 5h 5m 35.8s Intervallo di tempo compreso tra due passaggi successivi della Luna per il nodo ascendente della sua orbita

Giorno Durata Descrizione Giorno sidereo o siderale

23h 56m 04.0905s

= 86400s Intervallo di tempo compreso tra due passaggi successivi del punto vernale (punto di longitudine celeste = 0°) al meridiano.

Giorno solare medio 86164.099s

Giorno delle effemeridi

Secondo delle effemeridi: definito in in base all'anno tropico 1900: Anno 1900 = 31 556 925.9747 s

Altre definizioni:

• Ora solare locale: definita in base al moto del Sole, al passaggio al meridiano locale sono le ore 12 (detta anche ora solare apparente).

• Ora civile: definita come ora solare media ai meridiani centrali dei fusi, uno ogni 15°; il

"Sole medio" ha velocità angolare costante. La differenza fra Sole medio e Sole vero è data dall'equazione del tempo.

6

• UT (Tempo Universale): ora civile del meridiano 0° (Greenwich, detto anche GMT, Z). UT1 è UT corretto per i moti del polo geografico, UT2 è UT1 con correzioni per il rallentamento del moto terrestre.

• TAI (Tempo Atomico Internazionale): Media dei tempi degli orologi atomici di riferimento.

Un secondo (SI) = 9 192 631 770 cicli della radiazione corrispondente alla transizione fra due livelli iperfini dello stato base del Cesio 133. 0:00:00 TAI = 0:00:00 UT2 al 1/1/1958

• UTC (Tempo Universale Coordinato): definito in base a TAI , è UT con correzioni per i

moti della Terra, sta entro 0.9 s da UT1. Differisce da TAI per un numero intero di secondi. Es.: 2000.01.01 00:00:00 UTC = 2000.01.01 00:00:34 TAI

• ET (Tempo delle Effemeridi): un secondo = 1 / 31 556 925.9747 della durata dell'anno

tropico 1900. Il Sole medio delle effemeridi ha ascensione retta data da: AR=18h38m45.836s + 8,640,184.542s · TE + 0.0929s · TE2 dove TE è il numero di secoli Giuliani (36525 giorni) dal 1900 0.5 gennaio. ET - UT = 24.349s + 72.318s · TE + 29.950s · TE2

• TDT (Tempo Dinamico Terrestre): 86400 secondi SI sul geoide terrestre. TDT = TAI +

32.184 secondi. Poi: UT-UTC = TAI-UTC - (TDT-UT) + 32.184s • Delta T: differenza fra il tempo del moto di rotazione terrestre (UT1) e TDT.

7

Ore / gradi ore = gradi / 15 gradi = ore · 15

Tempo siderale

GST =(UT · 1.002737909) + (6.697374558 + 2400.051336·T + 0.000025862·T2) LST = GST - L/15

dove:

UT = ora di Greenwich GST = Tempo siderale a Greenwich (ore) LST = Tempo siderale locale (ore) JD = giorno giuliano T = ( JD - 2451545.0 ) / 36525.0 L = Longitudine geografica: est -, ovest +

Sorgere e tramonto Calcolare LST0, tempo siderale locale a 0h UT. L'ora del Meridiano MT è:

MT = α - LST0 α (ascensione retta dell'oggetto) in gradi. Se MT < 0 aggiungere 360°. Se l'oggetto è una stella:

MT = MT · 365.2422/366.2422 = MT · 0.9972696

Calcolare l'angolo orario del sorgere/tramonto:

δ⋅ϕδ⋅ϕ−

=coscos

sinsinsinhHAcos 0

0

dove h0 è l'altitudine al sorgere/tramonto. Per un orizzonte matematico h = 0 quindi:

cos HA0 = - tan ϕ · tan δ Per tener conto della rifrazione: h0 = -35/60 = 0.583 (-35 min d'arco), per il bordo superiore del Sole h0 = -50/60 = 0.833. Poi, se l'oggetto è una stella:

HA0 = HA0 · 365.2422/366.2422 = HA0 · 0.9972696 Infine:

Sorgere = MT - HA0 Tramonto = MT + HA0

Per avere il tempo in ore convertire dividendo per 15.

8

Cronologia

Calendario perpetuo Anno Secolo

Giuliano Gregoriano 0 100 200 300 400 500 600 1500* * 1600 1700 1800 1900 700 800 900 1000 1100 1200 1300 2000 2100 2200 2300 1400 1500* 0 DC ED FE GF AG BA CB ... BA C E G 1 29 57 85 B C D E F G A F G B D F 2 30 58 86 A B C D E F G E F A C E 3 31 59 87 G A B C D E F D E G B D 4 32 60 88 FE GF AG BA CB DC ED CB DC FE AG CB 5 33 61 89 D E F G A B C A B D F A 6 34 62 90 C D E F G A B G A C E G 7 35 63 91 B C D E F G A F G B D F 8 36 64 92 AG BA CB DC ED FE GF ED FE AG CB ED 9 37 65 93 F G A B C D E C D F A C 10 38 66 94 E F G A B C D B C E G B 11 39 67 95 D E F G A B C A B D F A 12 40 68 96 CB DC ED FE GF AG BA GF AG CB ED GF 13 41 69 97 A B C D E F G E F A C E 14 42 70 98 G A B C D E F D E G B D 15 43 71 99 F G A B C D E C D F A C 16 44 72 ED FE GF AG BA CB DC ... CB ED GF BA 17 45 73 C D E F G A B ... A C E G 18 46 74 B C D E F G A ... G B D F 19 47 75 A B C D E F G ... F A C E 20 48 76 GF AG BA CB DC ED FE ... ED GF BA DC 21 49 77 E F G A B C D ... C E G B 22 50 78 D E F G A B C ... B D F A 23 51 79 C D E F G A B ... A C E G 24 52 80 BA CB DC ED FE GF AG ... GF BA DC FE 25 53 81 G A B C D E F ... E G B D 26 54 82 F G A B C D E C D F A C 27 55 83 E F G A B C D B C E G B 28 56 84 DC ED FE GF AG BA CB AG BA DC FE AG

Mese Lettera domenicale

Gen, Ott A B C D E F G Feb, Mar, Nov D E F G A B C Apr, Lug G A B C D E F Mag B C D E F G A Giu E F G A B C D Ago C D E F G A B Set, Dic F G A B C D E

Giorni 1 8 15 22 29 Dom Sab Ven Gio Mer Mar Lun 2 9 16 23 30 Lun Dom Sab Ven Gio Mer Mar 3 10 17 24 31 Mar Lun Dom Sab Ven Gio Mer 4 11 18 25 Mer Mar Lun Dom Sab Ven Gio 5 12 19 26 Gio Mer Mar Lun Dom Sab Ven 6 13 20 27 Ven Gio Mer Mar Lun Dom Sab 7 14 21 28 Sab Ven Gio Mer Mar Lun Dom

9

Leggere la lettera domenicale all'incrocio fra le colonne che contengono l'anno e il secolo. Se ci sono due lettere (anno bisestile) la prima vale per gennaio e febbraio, la seconda per i mesi da marzo a dicembre. Nel settore dei mesi si cerca in quale colonna la lettera appare sulla stessa linea orizzontale del mese considerato. Infine, nella stessa colonna verticale, nel settore dei giorni, si trova il giorno della settimana che appare all'incrocio con la riga in cui sta il giorno del mese considerato.

Transizione dal calendario Giuliano a quello Gregoriano 1582, 15 ottobre Italia, Spagna, Portogallo e parti cattoliche della

Polonia: venerdì 15 ottobre segue giovedì 4 ottobre.

1582, 20 dicembre Francia e Lorena: lunedì 20 dicembre segue domenica 9 dicembre.

1583, 1 gennaio Paesi Bassi (Brabant, Flanders, Hennegan e some province del sud): sabato 1 gennaio segue venerdì 21 dicembre.

1583, 16 ottobre Regioni cattoliche della Germania: domenica 16 ottobre segue sabato 5 ottobre.

1583 e 1584 Austria Tirolo: domenica 16 ottobre segue sabato 5

ottobre. Carinzia (Kärnten) e Stiria (Steiermark): domenica 25 dicembre segue sabato 14 dicembre.

1584 Boemia, Moravia (Mähren) e Lusazia (Lausitz): martedì 17 gennaio segue lunedì 6 gennaio. Slesia (Schlesien): lunedì 23 gennaio segue domenica 12 gennaio.

1584 Regioni cattoliche della Svizzera: domenica 22 gennaio segue sabato 11 gennaio.

1587, 1 novembre Ungheria: domenica 1 novembre segue sabato 21 ottobre.

1590, 25 dicembre Transilvania (Siebenbürgen): martedì 25 dicembre segue lunedì 14 dicembre.

1610, 2 settembre Ducato di Prussia: giovedì 2 settembre segue mercoledì 22 agosto.

1700, 1 marzo Germania protestante, Danimarca e Norvegia: lunedì 1 marzo segue domenica 18 febbraio.

1700 Paesi Bassi Gelderland: lunedì 12 luglio segue domenica 30

giugno. Utrecht e Overijssel: domenica 12 dicembre segue

sabato 30 novembre. Friesland e Groningen: mercoledì 12 gennaio

segue martedì 31 dicembre. 1701, 12 gennaio Svizzera (cantoni di Zurich, Bern, Basel,

Schaffhausen, Gent, Mühlhausen e Biel): mercoledì 12 gennaio segue martedì 31 dicembre.

1752, 14 settembre Inghilterra e Scozia con le colonie: giovedì 14 settembre segue mercoledì 2 settembre.

1753, 1 marzo Svezia: fra il 1700 e il 1712 adottato un calendario né giuliano né gregoriano. Dal 1712 ripristinato il

10

calendario giuliano. Nel 1753 giovedì 1 marzo segue mercoledì 17 febbraio.

1873 Giappone. 1912 China. 1914, 1 gennaio Turchia: il calendario precedente era islamico 1918, 14 febbraio Russia: giovedì 14 febbraio segue mercoledì 31

gennaio. 1919, 14 aprile Romania: lunedì 14 aprile segue domenica 31

marzo 1923, 1 marzo Grecia: giovedì 1 marzo segue mercoledì 15

febbraio.

Numero di giorni di ritardo del calendario giuliano rispetto a quello gregoriano: 1582 - 1699 10 giorni 1700 - 1799 11 giorni 1800 - 1899 12 giorni 1900 - 2099 13 giorni 2100 - 2199 14 giorni

Calcoli sul calendario

AA (numero dell'anno) se anno d.C. AA = AA se anno a.C. AA = -(AA - 1)

Anno Bisestile Calendario Giuliano ! anno divisibile per 4 Calendario Gregoriano ! anno divisibile per 4, se anno del secolo divisibile per 400

Numero solare e Lettera Domenicale Numero solare = (AA + 8) mod 28 + 1

Numero Solare

Lettera Domenicale

Numero Solare

Lettera Domenicale

1 GF 15 C 2 E 16 B 3 D 17 AG 4 C 18 F 5 BA 19 E 6 G 20 D 7 F 21 CB 8 E 22 A 9 DC 23 G 10 B 24 F 11 A 25 ED 12 G 26 C 13 FE 27 B 14 D 28 A

Per gli anni bisestili ci sono due lettere: la prima vale per Gennaio e Febbraio, la seconda per gli altri mesi.

11

Epatta e Numero Aureo Epatta = età della Luna al 1 gennaio - 1. Numero aureo = posizione dell'anno nel ciclo Metonico:

Numero aureo = (AA + 1) mod 19

Num. aureo Epatta 1 29 2 0 3 21 4 2 5 13 6 24 7 5 8 16 9 27

10 8 11 19 12 30 - 0 13 11 14 22 15 3 16 14 17 25 18 6 19 17

Numero del giorno nell'anno dAA = GG del mese + dMM

dMM dMM

Anno Normale

Anno Bisestile

Gennaio 0 0Febbraio 31 31

Marzo 59 60Aprile 90 91

Maggio 120 121Giugno 151 152Luglio 181 182Agosto 212 213

Settembre 243 244Ottobre 273 274

Novembre 304 305Dicembre 334 335

12

Giorno dell'anno Giorno Gen Feb Mar Apr Mag Giu Lug Ago Set Ott Nov Dic

1 1 32 60 91 121 152 182 213 244 274 305 335 2 2 33 61 92 122 153 183 214 245 275 306 336 3 3 34 62 93 123 154 184 215 246 276 307 337 4 4 35 63 94 124 155 185 216 247 277 308 338 5 5 36 64 95 125 156 186 217 248 278 309 339 6 6 37 65 96 126 157 187 218 249 279 310 340 7 7 38 66 97 127 158 188 219 250 280 311 341 8 8 39 67 98 128 159 189 220 251 281 312 342 9 9 40 68 99 129 160 190 221 252 282 313 343 10 10 41 69 100 130 161 191 222 253 283 314 344 11 11 42 70 101 131 162 192 223 254 284 315 345 12 12 43 71 102 132 163 193 224 255 285 316 346 13 13 44 72 103 133 164 194 225 256 286 317 347 14 14 45 73 104 134 165 195 226 257 287 318 348 15 15 46 74 105 135 166 196 227 258 288 319 349 16 16 47 75 106 136 167 197 228 259 289 320 350 17 17 48 76 107 137 168 198 229 260 290 321 351 18 18 49 77 108 138 169 199 230 261 291 322 352 19 19 50 78 109 139 170 200 231 262 292 323 353 20 20 51 79 110 140 171 201 232 263 293 324 354 21 21 52 80 111 141 172 202 233 264 294 325 355 22 22 53 81 112 142 173 203 234 265 295 326 356 23 23 54 82 113 143 174 204 235 266 296 327 357 24 24 55 83 114 144 175 205 236 267 297 328 358 25 25 56 84 115 145 176 206 237 268 298 329 359 26 26 57 85 116 146 177 207 238 269 299 330 360 27 27 58 86 117 147 178 208 239 270 300 331 361 28 28 59 87 118 148 179 209 240 271 301 332 362 29 29 (60 )* 88 119 149 180 210 241 272 302 333 363 30 30 ... 89 120 150 181 211 242 273 303 334 364 31 31 ... 90 ... 151 ... 212 243 ... 304 ... 365

se l'anno è bisestile, dopo il 29 febbraio, aggiungere 1 al giorno dell'anno

13

Data di Pasqua Calcolare:

G = AA mod 19 (X mod Y = resto di X/Y; X\Y = divisione intera)

Per il calendario Giuliano:

I = (19·G + 15) mod 30 J = (AA + AA\4 + I) mod 7

Per il calendario Gregoriano:

C = AA \ 100 H = (C - C\4 - (8·C+13)\25 + 19·G + 15) mod 30 I = H - (H\28)·(1 - (H\28)·(29\(H + 1)) · ((21 - G)\11)) J = (AA + AA\4 + I + 2 - C + C\4) mod 7

Per entrambi i calendari:

L = I - J Mese di Pasqua = 3 + (L + 40) \ 44 Giorno di Pasqua = L + 28 - 31 · (Mese di Pasqua \ 4)

Nota:

G = numero d'oro - 1 H = (23 - epatta) mod 30 I = numero di giorni fra il 21 marzo e il plenilunio pasquale J = giorno della settimana del plenilunio pasquale (dove 0=domenica, 1=lunedì, ecc.) L = numero di giorni dal 21 marzo alla domenica del plenilunio pasquale o precedente il plenilunio (varia fra -6 e 28).

Feste mobili:

Sessagesima: 63 giorni prima Pasqua Quinquagesima: 49 giorni prima Pasqua Ceneri: 46 giorni prima Pasqua Domenica delle Palme: 7 giorni prima Pasqua Venerdì Santo: 2 giorni prima Pasqua Rogazione: 35 giorni dopo Pasqua Ascensione: 39 giorni dopo Pasqua Pentecoste: 49 giorni dopo Pasqua Trinità: 56 giorni dopo Pasqua Corpus Domini: 60 giorni dopo Pasqua

Giorno Giuliano (JD) Numero del giorno (e frazione = ore UT) contato a partire dal 1 gennaio 4713 a.C. ore 12 UT (cioè 1 gennaio -4712 12h UT)

14

Calcolo di JD (X\Y = divisione intera)

JD = ( 1461 · ( AA + 4800 + ( MM - 14 ) \ 12 ) ) \ 4 + ( 367 · ( MM - 2 - 12 · ( ( MM - 14 ) \ 12 ) ) ) \ 12 - ( 3 · ( ( AA + 4900 + ( MM - 14 ) \ 12 ) \ 100 ) ) \ 4 + DD - 32075

Per calcolare la data di calendario a partire da JD:

L = JD + 68569 N = ( 4 · L ) \ 146097 L = L - ( 146097 · N + 3 ) \ 4 I = ( 4000 · ( L + 1 ) ) \ 1461001 L = L - ( 1461 · I ) \ 4 + 31 J = ( 80 · L ) \ 2447 DD = L - ( 2447 · J ) \ 80 L = J \ 11 MM = J + 2 - ( 12 · L ) AA = 100 · ( N - 49 ) + I + L

DD sono interi fra 1-31, MM sono interi fra 1-12, YY sono interi positivi o negativi. X \ Y = divisione intera = parte intera di X/Y (ignorare i decimali)

Giorno Giuliano Modificato MJD = JD - 2 400 000.5

con JD = 0 al 17 novembre 1858 ore 0 UT.

Epoca standard J2000.0 1 gennaio 2000 ore 12 UT ! JD2000 = 2451545.0

Numero di giorni dall'epoca J2000.0 d2000 = JD-JD2000 = JD - 2451544.5

JD approssimato (± 1 giorno):

JD(primo anno del secolo) + int(AA·365.25) + dAA

Giorno della settimana resto di JD / 7 (JD/7 - int(JD/7) · 7

(0=lun, 1=mar, 2=mer, 3=gio, 4=ven, 5=sab, 6=dom)

15

Tabelle per il calcolo di JD SY = anno astronomico + 4712 se MM = Gen o Feb: ! SY = SY - 1 Leggere le componenti per SY e Mese e sommare, aggiungere il giorno del mese. Se la data è Gregoriana, aggiungere la correzione: G

SY JD SY JD Mese JD 8000 2922 059 96 35064 Mar 0 7000 2556 809 84 30681 Apr 31 6000 2191 559 72 26298 Mag 61 5000 1826 309 60 21915 Giu 92 4000 1461 059 48 17532 Lug 122 3000 1095 809 36 13149 Ago 153 2000 7305 59 24 8766 Set 184

800 2922 00 12 4383 Ott 214 600 2191 50 8 2922 Nov 245 400 1461 00 4 1461 Dic 275 300 1095 75 3 1095 Gen 306 200 7305 0 2 730 Feb 337 100 3652 5 1 365

SY G SY G SY G 12 37 2512 18 5012 -1

112 36 2612 17 5212 -2 212 35 2812 16 5312 -3 412 34 2912 15 5412 -4 512 33 3012 14 5612 -5 612 32 3212 13 5712 -6 812 31 3312 12 5812 -7 912 30 3412 11 6012 -8

1012 29 3612 10 6112 -9 1212 28 3712 9 6212 -10 1312 27 3812 8 6412 -11 1412 26 4012 7 6512 -12 1612 25 4112 6 6612 -13 1712 24 4212 5 6812 -14 1812 23 4412 4 6912 -15 2012 22 4512 3 7012 -16 2112 21 4612 2 7212 -17 2212 20 4812 1 7312 -18 2412 19 4912 0 7412 -19

16

Anno JD (1 Gen 0h UT) Anno AA JD

5000 3547 272.5 1 a.C. 0 1721057.54900 3510 748.5 100 a.C. -99 1684898.54800 3474 223.5 200 a.C. -199 1648373.54700 3437 699.5 300 a.C. -299 1611848.54600 3401 175.5 400 a.C. -399 1575323.54500 3364 651.5 500 a.C. -499 1538798.54400 3328 126.5 600 a.C. -599 1502273.54300 3291 602.5 700 a.C. -699 1465748.54200 3255 078.5 800 a.C. -799 1429223.54100 3218 554.5 900 a.C. -899 1392698.54000 3182 029.5 1000 a.C. -999 1356173.53900 3145 505.5 1100 a.C. -1099 1319648.53800 3108 981.5 1200 a.C. -1199 1283123.53700 3072 457.5 1300 a.C. -1299 1246598.53600 3035 932.5 1400 a.C. -1399 1210073.53500 2999 408.5 1500 a.C. -1499 1173548.53400 2962 884.5 1600 a.C. -1599 1137023.53300 2926 360.5 1700 a.C. -1699 1100498.53200 2889 835.5 1800 a.C. -1799 1063973.53100 2853 311.5 1900 a.C. -1899 1027448.53000 2816 787.5 2000 a.C. -1999 990923.52900 2780 263.5 2100 a.C. -2099 954398.52800 2743 738.5 2200 a.C. -2199 917873.52700 2707 214.5 2300 a.C. -2299 881348.52600 2670 690.5 2400 a.C. -2399 844823.52500 2634 166.5 2500 a.C. -2499 808298.52400 2597 641.5 2600 a.C. -2599 771773.52300 2561 117.5 2700 a.C. -2699 735248.52200 2524 593.5 2800 a.C. -2799 698723.52100 2488 069.5 2900 a.C. -2899 662198.52000 2451 544.5 3000 a.C. -2999 625673.51900 2415 020.5 3100 a.C. -3099 589148.51800 2378 496.5 3200 a.C. -3199 552623.51700 2341972.5 15 Ott 1582 3300 a.C. -3299 516098.51600 2305 447.5 2299160.5 3400 a.C. -3399 479573.51500 2268932.5 4 Ott 1582 3500 a.C. -3499 443048.51400 2232 407.5 2299159.5 3600 a.C. -3599 406523.51300 2195 882.5 3700 a.C. -3699 369998.51200 2159357.5 4 Ott 1582 3800 a.C. -3799 333473.51100 2122 832.5 seguito da: 3900 a.C. -3899 296948.51000 2086307.5 15 Ott 1582 4000 a.C. -3999 260423.5

900 2049 782.5 4100 a.C. -4099 223898.5800 2013 257.5 4200 a.C. -4199 187373.5700 1976 732.5 4300 a.C. -4299 150848.5600 1940 207.5 4400 a.C. -4399 114323.5500 1903 682.5 4500 a.C. -4499 77798.5400 1867 157.5 4600 a.C. -4599 41273.5300 1830 632.5 4700 a.C. -4699 4748.5200 1794 107.5 4713 a.C. -4712 0.0100 1757 582.5

1 1721 423.5

17

Astrodate (±0.003, ± 1 giorno):

Data Giuliana: AA + (GG / 365) Data Gregoriana: 0.9999794·(AA +GG / 365) + 0.005

Astrodate = (JD - 1721057.5) / 365.25

Cicli periodici Ciclo solare giuliano: 28 anni; le date del calendario si ripetono negli stessi giorni. Ciclo solare gregoriano: 400 anni; le date del calendario si ripetono negli stessi giorni. Ciclo Metonico: 19 anni; fase della Luna si ripete nelle stesse date di calendario. Saros: 6585.321 (6585 giorni e 1/3) (8 anni, 11 giorni e 1/3 o 10 e 1/3 se nel periodo ci sono 5 anni bisestili, 12 e 1/3 se ce ne sono tre); si ripete la stessa configurazione Sole/Luna e si ha un'eclissi di Sole simile alla precedente. Ciclo di Saros: circa 80 eclissi. Viene da: 223 mesi sinodici (6585.321 giorni) ~ 242 mesi draconici (6585.357 giorni) ~ 19 anni dell'eclissi (6585.781 giorni).

18

Altri calendari

Calendario Data d'inizio

Num. giorni per anno

Num. mesi per anno

Correzioni

Astronomico ≈365.24219 Azteco Sacro 260 20 di 13 giorni Azteco Solare 365 18 di 20 giorni

+ 5 giorni

Bahai 21 mar 1844 d.C.

365.2425 19 di 19 giorni e 4 o 5 giorni festivi

se l'anno è divisibile per 4 è bisestile se l'anno è divisibile per 100 non è bisestile se l'anno è divisibile per 400 è bisestile

Cinese 353 ÷ 385 12 o 13 di 29 o 30 giorni

un mese intercalare aggiunto con regole complesse

Copto 365.2425 12 di 30 giorni + 5 o 6 giorni


Egiziano 365 12 di 30 giorni + 5 giorni

Inglese 12 Francese Rivoluzionario

22 set 1792 d.C.

365.24225 12 di 30 giorni + 5 o 6 giorni

anni 3, 7 e 11 sono bisestili Calendario abolito nell'anno 14.

Greco Ortodosso

365.24222 12 in totale 7 x 31, 4 x 30, 1 x 28 o 29

se l'anno è divisibile per 4 è bisestile se l'anno è divisibile per 100 non è bisestile se l'anno diviso per 900 dà come resto 200 o 600 è bisestile

Gregoriano in teoria: 1 gen 1 d.C. (vedi tab.)

365.2425 12 in totale 7 x 31, 4 x 30, 1 x 28 o 29


Ebreo 3761 a.C. ≈354 12 o 13 di 29 o 30 giorni.

se l'anno diviso per 19 dà come resto 0, 3, 6, 8, 11, 14 o 17 è bisestile ed ha 13 mesi.

Ebreo del giubileo

364 12 di 30 giorni + 1 extra in ogni trimestre

Indiano 22 mar 79 d.C.

365.2425 12 in totale 5 x 31 7 x 30


Islamico (Egira)

16 lug 622 d.C.

354.36 12 di lunghezza variabile

basato sull'osservazione della prima luna ogni mese

Giuliano 45 a.C. 365.25 12 in totale 7 x 31, 4 x 30, 1 x 28 o 29

se l'anno è divisibile per 4 è bisestile

Lunare 354 12 in totale 6 x 29, 6 x 30

Maya Sacro 12 ago 3113 a.C.

260 20 di 13 giorni

Maya Solare 12 ago 3113 a.C.

365 18 di 20 giorni + 5 extra giorni

Persiano 21 mar 622 d.C.

365.2422 12 in totale 5 x 30, 6 x 31 1 x 29 o 30

un giorno extra inserito secondo un complesso ciclo che dura 2820 anni

Romano 750 a.C. Standard: 355 Media: 366.25

12 in totale 1 x 28, 7 x 29, 4 x 31

un mese addizionale di 28 o 29 giorni in anni alternati

19

Coordinate celesti

Trasformazione di coordinate

Orizzontali ed Equatoriali A = azimuth, h = altezza HA = angolo orario δ = declinazione, α = ascensione retta LST = Tempo siderale locale ϕ = Latitudine geografica

Calcolare: HA = LST - α

orizzontali ! equatoriali:

cos δ · sin HA = cos h · sin A sin δ = sin ϕ · sin h - cos ϕ · cos h · cos A

cos δ · cos HA = cos ϕ · sin h + sin ϕ · cos h · cos A equatoriali ! orizzontali

cos h · sin A = cos δ · sin HA sin h = sin ϕ · sin δ + cos ϕ · cos δ · cos HA

cos h · cos A = - cos ϕ · sin δ + sin ϕ · cos δ · cos HA

Equatoriali e Eclittiche β = latitudine celeste, λ = longitudine celeste ε = obliquità dell'eclittica.

equatoriali ! eclittiche:

cos β · cos λ = cos δ · cos α cos β · sin λ = cos δ · sin α · cos ε + sin δ · sin ε

sin β = - cos δ · sin α · sin ε + sin δ · cos ε eclittiche ! equatoriali:

cos δ · cos α = cos β · cos λ cos δ · sin α = cos β · sin λ · cos ε - sin β · sin ε

sin δ = cos β · sin λ · sin ε + sin β · cos ε

Altezza e Azimuth

Calcolare: HA = LST - α sin h = sin ϕ · sin δ + cos ϕ · cos δ · cos HA

20

ϕ⋅−ϕ⋅=

cosδtansinHAcossinHAAtan

dove:

h = altezza A = azimuth (A = 0° = SUD, A = 90° = OVEST) HA = angolo orario L'arcotangente va calcolata nel quadrante giusto, vedi sezione Trigonometria

Altezza sull'orizzonte al meridiano (ore 12 locali) in gradi di un oggetto con declinazione δ, in luogo con latitudine ϕ:

h = 90° - ϕ + δ

Azimuth dei punti di sorgere e tramonto cos A0 = - sin δ/ cos ϕ

Declinazione di un oggetto sull'eclittica tan δ = sin α · tan ε

Ora approssimata di alba / tramonto ora UT = 12 - Et + (L + k·arccos(tan δ · tan ϕ)) / 15

(k=-1 alba, k=1 tramonto, L = longitudine).

Correzione all'altezza per rifrazione R0 = tan (90 - 0.99914·HC - 7.31 / (H + 4.4))

R0 è in minuti, HC = altezza calcolata in gradi, R0 vale a 1010 mbar e 10°C, altrimenti:

f = 0.28·P / (T + 273°)

dove P = pressione atmosferica in mbar, T = temperatura in °C quindi

R = R0·f L'altezza vera sarà: H = HC + R La regola di Thom-Neugebauer dice che una stella di magnitudine visuale "m" diverra' visibile nel cielo mattutino ad un'altezza sull'orizzonte approssimativamente pari alla sua magnitudine visuale.

Allineamenti Verifica di possibili allineamenti archeoastronomici.

21

r = 0.58 · e(-H/8400) · e(-S/3) G = S r + p sin d = sin L · sin G + cos L · cos G · cos A sin B = cos L · sin A / cos δ ∆δ = δ + q · cos B d V = ∆δ · sec B · (1-r/3)

dove:

S = altezza (°) dell'orizzonte sul piano δ = declinazione obiettivo (stella, Sole, Luna) A = azimuth misurato da N verso E L = latitudine del luogo H = altezza s.l.m. in metri q = semidiametro del disco dell'obiettivo p = parallasse dell'obiettivo

Semidiametro: 0 stella o centro disco -0.267 sole tang sopra (emisf. Nord) 0.267 sole tang sotto (emisf. Nord) -0.259 luna tang sopra (emisf. Nord) 0.259 luna tang sotto (emisf. Nord)

Parallasse: 0 stella 0.002 sole 0.951 luna

r = angolo di rifrazione V = angolo di quanto l'obiettivo è sopra la linea dell'orizzonte in direzione dell'azimuth della

linea di osservazione ∆δ = errore in declinazione

Potere risolutivo dell'occhio Potere risolutivo dell'occhio nudo in funzione della magnitudine visuale M1 e M2 di due stelle osservate:

)ee(28".240)("p 2M46.01M46.0 −− +⋅= Poiché i recettori sulla retina sono spaziati di 30", questo valore è un il limite inferiore per il potere risolutivo dell'occhio nudo. I valori di p" minori di 30" d'arco non vanno presi in considerazione. Potere risolutivo dell'occhio nudo in funzione della magnitudine visuale delle due stelle.

M1 M2 p" p' p° -3 -3 1910.18 31.84 0.53 -3 -2 1558.02 25.97 0.43 -3 -1 1335.71 22.26 0.37 -3 0 1195.37 19.92 0.33 -3 1 1106.77 18.45 0.31 -3 2 1050.85 17.51 0.29 -3 3 1015.54 16.93 0.28

22

M1 M2 p" p' p° -3 4 993.25 16.55 0.28 -2 -2 1205.86 20.10 0.33 -2 -1 983.55 16.39 0.27 -2 0 843.21 14.05 0.23 -2 1 754.62 12.58 0.21 -2 2 698.69 11.64 0.19 -2 3 663.38 11.06 0.18 -2 4 641.09 10.68 0.18 -1 -1 761.24 12.69 0.21 -1 0 620.90 10.35 0.17 -1 1 532.31 8.87 0.15 -1 2 476.38 7.94 0.13 -1 3 441.07 7.35 0.12 -1 4 418.78 6.98 0.12 0 0 480.56 8.01 0.13 0 1 391.96 6.53 0.11 0 2 336.04 5.60 0.09 0 3 300.73 5.01 0.08 0 4 278.44 4.64 0.08 1 1 303.37 5.06 0.08 1 2 247.44 4.12 0.07 1 3 212.13 3.54 0.06 1 4 189.85 3.16 0.05 2 2 191.51 3.19 0.05 2 3 156.21 2.60 0.04 2 4 133.92 2.23 0.04 3 3 120.90 2.02 0.03 3 4 98.61 1.64 0.03 4 4 76.32 1.27 0.02

Semiarco Diurno semiarco (gradi) = arcos(-tan δ · tan ϕ)

23

Semiarco diurno (ore)

valori in hh.mm

Declin Lat.Geo 85 80 75 70 65 60 55 50 45 40 35 30 25 20 15 10 5 0

90 6.0085 6.0080 12.00 7.59 6.0075 12.00 8.45 7.16 6.0070 12.00 9.10 7.56 6.56 6.0065 12.00 9.25 8.20 7.29 6.43 6.0060 12.00 9.35 8.36 7.51 7.11 6.35 6.0055 12.00 9.42 8.47 8.05 7.30 6.58 6.29 6.0050 12.00 9.46 8.54 8.15 7.43 7.14 6.49 6.24 6.0045 12.00 9.48 8.58 8.21 7.51 7.25 7.02 6.41 6.20 6.0040 12.00 9.48 8.59 8.24 7.56 7.32 7.11 6.52 6.34 6.17 6.0035 12.00 9.46 8.58 8.24 7.57 7.35 7.16 6.59 6.43 6.28 6.14 6.0030 12.00 9.42 8.54 8.21 7.56 7.35 7.18 7.02 6.49 6.36 6.23 6.12 6.0025 12.00 9.35 8.47 8.15 7.51 7.32 7.16 7.02 6.50 6.39 6.29 6.19 6.09 6.0020 12.00 9.25 8.36 8.05 7.43 7.25 7.11 6.59 6.49 6.39 6.30 6.22 6.15 6.07 6.0015 12.00 9.10 8.20 7.51 7.30 7.14 7.02 6.52 6.43 6.36 6.29 6.22 6.16 6.11 6.05 6.0010 12.00 8.45 7.56 7.29 7.11 6.58 6.49 6.41 6.34 6.28 6.23 6.19 6.15 6.11 6.07 6.04 6.00

5 7.59 7.16 6.56 6.43 6.35 6.29 6.24 6.20 6.17 6.14 6.12 6.09 6.07 6.05 6.04 6.02 6.000 6.00 6.00 6.00 6.00 6.00 6.00 6.00 6.00 6.00 6.00 6.00 6.00 6.00 6.00 6.00 6.00 6.00 6.00

-5 4.01 4.44 5.04 5.17 5.25 5.31 5.36 5.40 5.43 5.46 5.48 5.51 5.53 5.55 5.56 5.58 6.00-10 0.00 3.15 4.04 4.31 4.49 5.02 5.11 5.19 5.26 5.32 5.37 5.41 5.45 5.49 5.53 5.56 6.00-15 0.00 2.50 3.40 4.09 4.30 4.46 4.58 5.08 5.17 5.24 5.31 5.38 5.44 5.49 5.55 6.00-20 0.00 2.35 3.24 3.55 4.17 4.35 4.49 5.01 5.11 5.21 5.30 5.38 5.45 5.53 6.00-25 0.00 2.25 3.13 3.45 4.09 4.28 4.44 4.58 5.10 5.21 5.31 5.41 5.51 6.00-30 0.00 2.18 3.06 3.39 4.04 4.25 4.42 4.58 5.11 5.24 5.37 5.48 6.00-35 0.00 2.14 3.02 3.36 4.03 4.25 4.44 5.01 5.17 5.32 5.46 6.00-40 0.00 2.12 3.01 3.36 4.04 4.28 4.49 5.08 5.26 5.43 6.00-45 0.00 2.12 3.02 3.39 4.09 4.35 4.58 5.19 5.40 6.00-50 0.00 2.14 3.06 3.45 4.17 4.46 5.11 5.36 6.00-55 0.00 2.18 3.13 3.55 4.30 5.02 5.31 6.00-60 0.00 2.25 3.24 4.09 4.49 5.25 6.00-65 0.00 2.35 3.40 4.31 5.17 6.00-70 0.00 2.50 4.04 5.04 6.00-75 0.00 3.15 4.44 6.00-80 0.00 4.01 6.00-85 6.00-90 6.00

Declin Lat.Geo 0 -5 -10 -15 -20 -25 -30 -35 -40 -45 -50 -55 -60 -65 -70 -75 -80 -85

90 6.00 85 6.00 80 6.00 4.01 0.00 75 6.00 4.44 3.15 0.00 70 6.00 5.04 4.04 2.50 0.00 65 6.00 5.17 4.31 3.40 2.35 0.00 60 6.00 5.25 4.49 4.09 3.24 2.25 0.00 55 6.00 5.31 5.02 4.30 3.55 3. 13 2.18 0.00 50 6.00 5.36 5.11 4.46 4.17 3.45 3.06 2.14 0.00 45 6.00 5.40 5.19 4.58 4.35 4.09 3.39 3.02 2.12 0.00 40 6.00 5.43 5.26 5.08 4.49 4.28 4.04 3.36 3.01 2.12 0.00 35 6.00 5.46 5.32 5.17 5.01 4. 44 4.25 4.03 3.36 3.02 2.14 0.00 30 6.00 5.48 5.37 5.24 5.11 4.58 4.42 4.25 4.04 3.39 3.06 2.18 0.00 25 6.00 5.51 5.41 5.31 5.21 5.10 4.58 4.44 4.28 4.09 3.45 3.13 2.25 0.00 20 6.00 5.53 5.45 5.38 5.30 5.21 5.11 5.01 4.49 4.35 4.17 3.55 3.24 2.35 0.00 15 6.00 5.55 5.49 5.44 5.38 5.31 5.24 5.17 5.08 4.58 4.46 4.30 4.09 3.40 2.50 0.00 10 6.00 5.56 5.53 5.49 5.45 5.41 5.37 5.32 5.26 5.19 5.11 5.02 4.49 4.31 4.04 3.15 0.00 5 6.00 5.58 5.56 5.55 5.53 5.51 5.48 5.46 5.43 5.40 5.36 5.31 5.25 5.17 5.04 4.44 4.01 0 6.00 6.00 6.00 6.00 6.00 6.00 6.00 6.00 6.00 6.00 6.00 6.00 6.00 6.00 6.00 6.00 6.00 6.00

-5 6.00 6.02 6.04 6.05 6.07 6.09 6.12 6.14 6.17 6.20 6.24 6.29 6.35 6.43 6.56 7.16 7.59 -10 6.00 6.04 6.07 6.11 6.15 6.19 6.23 6.28 6.34 6.41 6.49 6.58 7.11 7.29 7.56 8.45 12.00 -15 6.00 6.05 6.11 6.16 6.22 6.29 6.36 6.43 6.52 7.02 7.14 7.30 7.51 8.20 9.10 12.00 -20 6.00 6.07 6.15 6.22 6.30 6.39 6.49 6.59 7.11 7.25 7.43 8.05 8.36 9.25 12.00 -25 6.00 6.09 6.19 6.29 6.39 6.50 7.02 7.16 7.32 7.51 8.15 8.47 9.35 12.00 -30 6.00 6.12 6.23 6.36 6.49 7.02 7.18 7.35 7.56 8.21 8.54 9.42 12.00 -35 6.00 6.14 6.28 6.43 6.59 7. 16 7.35 7.57 8.24 8.58 9.46 12.00 -40 6.00 6.17 6.34 6.52 7.11 7.32 7.56 8.24 8.59 9.48 12.00 -45 6.00 6.20 6.41 7.02 7.25 7.51 8.21 8.58 9.48 12.00 -50 6.00 6.24 6.49 7.14 7.43 8.15 8.54 9.46 12.00 -55 6.00 6.29 6.58 7.30 8.05 8. 47 9.42 12.00 -60 6.00 6.35 7.11 7.51 8.36 9.35 12.00 -65 6.00 6.43 7.29 8.20 9.25 12.00 -70 6.00 6.56 7.56 9.10 12.00 -75 6.00 7.16 8.45 12.00 -80 6.00 7.59 12.00 -85 6.00 -90 6.00

MAI VISIBILE

SEMPRE VISIBILE

MAI VISIBILE

SEMPRE VISIBILE

24

Precessione

Precessione approssimata Per coordinate equatoriali, la precessione annuale è:

p_α = m + n · sin α · tan δ p_δ = n · cos α

Quindi per ridurre le posizioni dall'anno Y all'anno X :

αX = αY + p_α · t δX = δY + p_δ · t

dove t è il tempo trascorso fra X e Y in anni.

(per l'anno 2000, m e n sono: m = + 46.124" + 0.000279" · t = 3.0749 s + 0.0000186 s · t n = + 20.043" - 0.000085" · t

t tempo in anni tropici dal 2000.0) Per coordinate eclittiche i valori approssimati sono dati da:

λX = λY + PrecLon · t δX ≅ δY

dove t è il tempo trascorso fra X e Y in anni.

(per l'anno 2000: PrecLon = 50.28792"). La validità di queste fomule è di qualche decina di anni. Le tabelle che seguono contengono i valori di m, n e della precessione generale in longitudine calcolati per ogni inizio secolo dal 4713 a.C. al 5000 d.C.

25

Coefficienti per il calcolo della precessione Anno (1 Gen 0h UT) JD m

arcsec m sec

n arcsec

n sec

PrecLon ("/anno)

5000 d.C. 3547272.5 46.93498 3.12900 19.79409 1.3196 1 50.619054900 d.C. 3510748.5 46.90961 3.12731 19.80188 1.3201 3 50.608024800 d.C. 3474223.5 46.88408 3.12561 19.80974 1.3206 5 50.596984700 d.C. 3437699.5 46.85838 3.12389 19.81764 1.3211 8 50.585944600 d.C. 3401175.5 46.83254 3.12217 19.82559 1.3217 1 50.574904500 d.C. 3364651.5 46.80654 3.12044 19.83359 1.3222 4 50.563874400 d.C. 3328126.5 46.78040 3.11869 19.84164 1.3227 8 50.552834300 d.C. 3291602.5 46.75412 3.11694 19.84972 1.3233 1 50.541794200 d.C. 3255078.5 46.72771 3.11518 19.85785 1.3238 6 50.530754100 d.C. 3218554.5 46.70117 3.11341 19.86602 1.3244 0 50.519714000 d.C. 3182029.5 46.67451 3.11163 19.87423 1.3249 5 50.508683900 d.C. 3145505.5 46.64774 3.10985 19.88247 1.3255 0 50.497643800 d.C. 3108981.5 46.62085 3.10806 19.89074 1.3260 5 50.486603700 d.C. 3072457.5 46.59386 3.10626 19.89905 1.3266 0 50.475563600 d.C. 3035932.5 46.56678 3.10445 19.90738 1.3271 6 50.464523500 d.C. 2999408.5 46.53959 3.10264 19.91574 1.3277 2 50.453493400 d.C. 2962884.5 46.51232 3.10082 19.92413 1.3282 8 50.442453300 d.C. 2926360.5 46.48497 3.09900 19.93254 1.3288 4 50.431413200 d.C. 2889835.5 46.45754 3.09717 19.94097 1.3294 0 50.420373100 d.C. 2853311.5 46.43004 3.09534 19.94943 1.3299 6 50.409343000 d.C. 2816787.5 46.40247 3.09350 19.95789 1.3305 3 50.398302900 d.C. 2780263.5 46.37484 3.09166 19.96638 1.3310 9 50.387262800 d.C. 2743738.5 46.34716 3.08981 19.97488 1.3316 6 50.376222700 d.C. 2707214.5 46.31942 3.08796 19.98339 1.3322 3 50.365182600 d.C. 2670690.5 46.29165 3.08611 19.99191 1.3327 9 50.354152500 d.C. 2634166.5 46.26383 3.08426 20.00043 1.3333 6 50.343112400 d.C. 2597641.5 46.23598 3.08240 20.00896 1.3339 3 50.332072300 d.C. 2561117.5 46.20810 3.08054 20.01750 1.3345 0 50.321032200 d.C. 2524593.5 46.18020 3.07868 20.02604 1.3350 7 50.310002100 d.C. 2488069.5 46.15229 3.07682 20.03457 1.3356 4 50.298962000 d.C. 2451544.5 46.12436 3.07496 20.04311 1.3362 1 50.287921900 d.C. 2415020.5 46.09643 3.07310 20.05164 1.3367 8 50.276881800 d.C. 2378496.5 46.06850 3.07123 20.06016 1.3373 4 50.265841700 d.C. 2341972.5 46.04057 3.06937 20.06868 1.3379 1 50.254811600 d.C. 2305447.5 46.01265 3.06751 20.07719 1.3384 8 50.243771500 d.C. 2268932.5 45.98476 3.06565 20.08568 1.3390 5 50.232731582 d.C. Oct 15 2299160.5 46.00785 3.06719 20.07865 1.3385 8 50.241871582 d.C. Oct 04 2299159.5 46.00785 3.06719 20.07865 1.3385 8 50.241871400 d.C. 2232407.5 45.95688 3.06379 20.09416 1.3396 1 50.221701300 d.C. 2195882.5 45.92903 3.06194 20.10262 1.3401 7 50.210661200 d.C. 2159357.5 45.90121 3.06008 20.11106 1.3407 4 50.199621100 d.C. 2122832.5 45.87343 3.05823 20.11949 1.3413 0 50.188581000 d.C. 2086307.5 45.84570 3.05638 20.12789 1.3418 6 50.17754

900 d.C. 2049782.5 45.81801 3.05453 20.13627 1.3424 2 50.16650800 d.C. 2013257.5 45.79038 3.05269 20.14462 1.3429 7 50.15547700 d.C. 1976732.5 45.76281 3.05085 20.15294 1.3435 3 50.14443600 d.C. 1940207.5 45.73530 3.04902 20.16124 1.3440 8 50.13339500 d.C. 1903682.5 45.70787 3.04719 20.16950 1.3446 3 50.12235400 d.C. 1867157.5 45.68051 3.04537 20.17773 1.3451 8 50.11131300 d.C. 1830632.5 45.65324 3.04355 20.18592 1.3457 3 50.10028200 d.C. 1794107.5 45.62606 3.04174 20.19407 1.3462 7 50.08924100 d.C. 1757582.5 45.59896 3.03993 20.20219 1.3468 1 50.07820

1 d.C. 1721423.5 45.57224 3.03815 20.21018 1.3473 5 50.06727

26

Anno (1 Gen 0h UT) JD m

arcsec m sec

n arcsec

n sec

PrecLon ("/anno)

1 a.C. 0 1721057.5 45.57197 3.03813 20.21026 1.3473 5 50.06716100 a.C. -99 1684898.5 45.54535 3.03636 20.21821 1.3478 8 50.05623200 a.C. -199 1648373.5 45.51857 3.03457 20.22619 1.3484 1 50.04520300 a.C. -299 1611848.5 45.49191 3.03279 20.23413 1.3489 4 50.03416400 a.C. -399 1575323.5 45.46536 3.03102 20.24201 1.3494 7 50.02312500 a.C. -499 1538798.5 45.43895 3.02926 20.24984 1.3499 9 50.01208600 a.C. -599 1502273.5 45.41266 3.02751 20.25762 1.3505 1 50.00104700 a.C. -699 1465748.5 45.38651 3.02577 20.26535 1.3510 2 49.99001800 a.C. -799 1429223.5 45.36051 3.02403 20.27301 1.3515 3 49.97897900 a.C. -899 1392698.5 45.33465 3.02231 20.28062 1.3520 4 49.96793

1000 a.C. -999 1356173.5 45.30895 3.02060 20.28816 1.3525 4 49.956891100 a.C. -1099 1319648.5 45.28341 3.01889 20.29564 1.3530 4 49.945851200 a.C. -1199 1283123.5 45.25803 3.01720 20.30305 1.3535 4 49.934821300 a.C. -1299 1246598.5 45.23283 3.01552 20.31040 1.3540 3 49.923781400 a.C. -1399 1210073.5 45.20780 3.01385 20.31768 1.3545 1 49.912741500 a.C. -1499 1173548.5 45.18295 3.01220 20.32488 1.3549 9 49.901701600 a.C. -1599 1137023.5 45.15829 3.01055 20.33202 1.3554 7 49.890661700 a.C. -1699 1100498.5 45.13382 3.00892 20.33907 1.3559 4 49.879631800 a.C. -1799 1063973.5 45.10955 3.00730 20.34605 1.3564 0 49.868591900 a.C. -1899 1027448.5 45.08548 3.00570 20.35295 1.3568 6 49.857552000 a.C. -1999 990923.5 45.06162 3.00411 20.35977 1.3573 2 49.846512100 a.C. -2099 954398.5 45.03798 3.00253 20.36650 1.3577 7 49.835472200 a.C. -2199 917873.5 45.01455 3.00097 20.37315 1.3582 1 49.824442300 a.C. -2299 881348.5 44.99135 2.99942 20.37971 1.3586 5 49.813402400 a.C. -2399 844823.5 44.96839 2.99789 20.38618 1.3590 8 49.802362500 a.C. -2499 808298.5 44.94566 2.99638 20.39256 1.3595 0 49.791322600 a.C. -2599 771773.5 44.92317 2.99488 20.39885 1.3599 2 49.780282700 a.C. -2699 735248.5 44.90093 2.99340 20.40504 1.3603 4 49.769252800 a.C. -2799 698723.5 44.87894 2.99193 20.41113 1.3607 4 49.758212900 a.C. -2899 662198.5 44.85721 2.99048 20.41713 1.3611 4 49.747173000 a.C. -2999 625673.5 44.83575 2.98905 20.42302 1.3615 3 49.736133100 a.C. -3099 589148.5 44.81455 2.98764 20.42881 1.3619 2 49.725093200 a.C. -3199 552623.5 44.79363 2.98624 20.43450 1.3623 0 49.714063300 a.C. -3299 516098.5 44.77300 2.98487 20.44007 1.3626 7 49.703023400 a.C. -3399 479573.5 44.75264 2.98351 20.44554 1.3630 4 49.691983500 a.C. -3499 443048.5 44.73258 2.98217 20.45090 1.3633 9 49.680943600 a.C. -3599 406523.5 44.71282 2.98085 20.45614 1.3637 4 49.669903700 a.C. -3699 369998.5 44.69336 2.97956 20.46127 1.3640 8 49.658873800 a.C. -3799 333473.5 44.67420 2.97828 20.46628 1.3644 2 49.647833900 a.C. -3899 296948.5 44.65537 2.97702 20.47117 1.3647 4 49.636794000 a.C. -3999 260423.5 44.63685 2.97579 20.47594 1.3650 6 49.625754100 a.C. -4099 223898.5 44.61865 2.97458 20.48059 1.3653 7 49.614714200 a.C. -4199 187373.5 44.60079 2.97339 20.48511 1.3656 7 49.603684300 a.C. -4299 150848.5 44.58326 2.97222 20.48951 1.3659 7 49.592644400 a.C. -4399 114323.5 44.56607 2.97107 20.49377 1.3662 5 49.581604500 a.C. -4499 77798.5 44.54923 2.96995 20.49791 1.3665 3 49.570564600 a.C. -4599 41273.5 44.53274 2.96885 20.50191 1.3667 9 49.559524700 a.C. -4699 4748.5 44.51661 2.96777 20.50577 1.3670 5 49.548484713 a.C. -4712 0.0 44.51454 2.96764 20.50627 1.3670 8 49.54705

27

Sole, Luna e Pianeti

Posizioni di Sole, Luna e Pianeti Calcolare:

AGE = Lungh · PosFrac((Astrodate - Inizio) / Periodo) dove:

Lungh (DD) Periodo Inizio Mercurio 116 0.3172554 0.333 Venere 584 1.598690 0.442 Marte 780 2.135350 1.721 Giove 399 1.092085 0.703 Saturno 378 1.035160 0.41 Luna 29.5 0.08085034 0.4694 Ciclo Lunare (AA) 18.61 18.614 14.9 Long. Sole (gradi) 360 0.9999786 0.223

Eventi Sinodici AGE Mercurio Venere

Congiunzione superiore 0 0 Stella della sera 20 39 Max elongazione alla sera 36 221 Max luminosita 42 257 Scompare come Stella della sera 48 285 Congiunzione inferiore 58 292 Stella del mattino 68 299 Max luminosita 74 327 Max elongazione al mattino 80 362 Scompare come Stella del mattino 104 545 Congiunzione superiore 116 584

Marte Giove Saturno Congiunzione superiore 0 0 0 Stella del mattino 65 20 20 Inizia moto retrogrado 353 140 125 Opposizione 390 200 189 Termina moto retrogrado 427 260 253 Scompare come Stella della sera 725 379 358 Congiunzione superiore 780 399 378

Luna Nuova (congiunzione) 0 Falce serale 1 Primo Quarto 7 Piena 15 Ultimo Quarto 22 Falce al mattino 28 Nuova (congiunzione) 29.5

Long. Sole

28

Eventi Sinodici AGE Equinozio di primavera 0 Solstizio d'estate 90 Equinozio d'autunno 180 Solstizio d'inverno 270

Massima declinazione della Luna

δ(max luna) = 24 + 5 cos(360·PosF((AA-14.9)/18.614)

(PosF(X) = frac(X) se X>0, 1-frac(X) se X<0)

Età della Luna

frac(JD/29.530588) ~0.33 = luna nuova ~0.83 = luna piena

oppure: Età della Luna (±2 gg) = Epatta + numero del mese + numero del giorno

dove: numero del mese = 1 per gennaio, 2 per febbraio, 1 per marzo fino a 10 per dicembre.

Numero di giorni dopo LunaNuova:

Ngg = frac(JD / 29.530588 - 0.33) · 29.5

Posizione del Sole Siano:

frac(7.21) = 0.21; ma frac(-1.2) = 1- frac|-1.2|

T = 0.01*(AA - 2000 + (dAA - 1)/365.25) T = (JD - 2451545.0)/36525.0

Calcolare:

M = 2π · frac(0.993133+99.97361 · T) DL = 6893.0 · sin M + 72.0 · sin 2M L = 2π · frac(0.7859453 + M/2π + (6191.2 · T + DL) / 1 296 000) X = cos L Y = 0.91748 · sin L Z = 0.39778 · sin L ________ r = √ (1.0 - Z2)

allora: δ(sole) = (360/2π) · arctan(Z/r) α(sole) = (48.0/2π) · arctan(Y/(X+r))

δ in gradi, α in ore (ridurre modulo 24).

29

N.B. Le arcotangenti vanno calcolate nel quadrante corretto, vedi sezione sulla trigonometria.

Declinazione approssimata del Sole

δ = -7.64 · sin(dAA - 2) + 9.86 · sin(2 · (dAA - 80)) dove:

dAA = numero di giorni dell'anno e sin() richiede giorni come argomento.

Oppure, utilizzando AGE: δ(sole) = arcsin(sin AGE · sin δ(max sole))

Massima declinazione del Sole

δ(max sole) = 23.7 - 0.00013 · AA

Equazione del Tempo EdT = α(Sole vero) - α(Sole medio)

EdT = 9.87 · sin 2B - 7.53 · cos B - 1.5 · sin B dove:

B = 360 · (dAA - 81) / 365 e dAA = numero di giorni dell'anno: 1 gennaio = giorno 1

Posizioni approssimate del Sole α δ λ EdT(min)Gen 1 18°44' -23.1 280 -3.30

16 19°49' -21.1 295 -9.60Feb 1 20°56' -17.3 312 -13.50

16 21°56' -12.6 327 -14.30Mar 1 22°46' -7.9 340 -12.60

16 23°41' -2.0 355 -8.90Apr 1 0°40' 4.3 11 -4.20

16 1°34' 9.8 26 0.00Mag 1 2°31' 14.9 40 2.80

16 3°29' 18.9 55 3.70Giu 1 4°34' 21.9 70 2.40

16 5°35' 23.3 84 -0.40Lug 1 6°38' 23.2 99 -3.60

16 7°39' 21.5 113 -5.90Ago 1 8°43' 18.2 128 -6.30

16 9°40' 14.0 143 -4.40Set 1 10°39' 8.5 158 -0.20

16 11°33' 2.9 173 4.80Ott 1 12°27' -2.9 187 10.10

16 13°21' -8.6 202 14.20Nov 1 14°23' -14.2 218 16.30

30

16 15°23' -18.6 233 15.30Dic 1 16°26' -21.7 248 11.20

16 17°32' -23.3 264 4.70

Altezza del Sole durante il giorno

hSole = arccos (cos (90 - ϕ) · cos (90-δ) + sin (90 ϕ) · sin (90 δ) · cos (ora ·15)) ora = ora dal mezzogiorno.

Apogeo (Auge) Solare

Anno JD λ° 1200 2159 358 89.21 89°13'1250 2177 621 90.07 90°04'1300 2195 883 90.92 90°55'1350 2214 146 91.78 91°47'1400 2232 408 92.64 92°38'1450 2250 671 93.49 93°30'1500 2268 933 94.35 94°21'1550 2287 196 95.21 95°13'1600 2305 448 96.07 96°04'1650 2323 711 96.92 96°55'1700 2341 973 97.78 97°47'1750 2360 235 98.64 98°38'1800 2378 497 99.50 99°30'1850 2396 759 100.36 100°22'1900 2415 021 101.22 101°13'1950 2433 283 102.08 102°05'2000 2451 545 102.94 102°56'

Longitudine = 102.937348 + (1.7195269·T) + (0.00045962·T2) T = (JD-2451545)/36525

31

Delta T

(1) prima del 948 AD ∆T (sec) = 1830 - 405·T + 46.5·T2 (T = secoli dal 948 AD) (2) dal 948 AD al 1600 AD (T = secoli dal 1850 AD) ∆Τ (sec) = 22.5·T2

∆T (sec)

Anno (1) (2) (3) (4) -2000 4275 7 5418 1 - --1900 4052 4 5108 1 - --1800 3835 0 4807 3 - --1700 3623 6 4515 9 - --1600 3418 1 4233 8 - --1500 3218 7 3961 0 - --1400 3025 3 3697 5 - --1300 2837 8 3443 3 - --1200 2656 4 3198 4 - --1100 2480 9 2962 7 - --1000 2311 5 2736 4 - --900 2148 0 2519 4 - --800 1990 5 2311 7 - --700 1839 0 2113 3 - --600 1693 5 1924 2 - --500 1553 9 1744 4 - 16800-400 1420 4 1573 8 - 15300-300 1292 9 1412 6 - 14000-200 1171 3 1260 7 - 12800-100 1055 7 1118 1 - 11600

0 9462 9848 - 10600100 8426 8608 - 9600200 7450 7461 - 8600300 6534 6406 - 7700400 5678 5445 - 6700500 4882 4577 - 5700600 4145 3802 - 4700700 3469 3120 - 3800800 2852 2531 - 3000900 2296 2035 - 2200

1000 1799 - 1625 16001100 1362 - 1265 11001200 985 - 950 7501300 668 - 680 4701400 411 - 455 3001500 214 - 275 1801600 76 - 140 1101700 -1 - - - 9 osservato 1800 -19 - - - 13.7 osservato 1900 24 - - - -2.7 osservato 2000 126 - - - 64 osservato

32

Fino al 1985, ∆T era calcolato : (T = secoli dal 1900.0): ∆T(sec) = 24.349 + 72.318·T + 29.950·T2 +

Riferimenti: (1): Formula derivata da osservazioni dal 1650 AD di Spencer Jones (1939) e Gerald M.Clemence (1948), accettata ufficialmente dall'International Astronomical Union nel 1952 e leggermente corretta nel 1960. (2) e (3): Stephenson F.R e Houlden M.A., Atlas of Historical Eclipse Maps: East Asia 1500 BD - AD 1900, Cambridge Univ.Press., 1986. (4): Stephenson F.R., Historical Eclipses and Earth's Rotation , Cambridge Univ.Press, 1997. Morrison, L.V. e Ward, C. G., An analysis of the transits of Mercury: 1677-1973, Mon. Not. Roy. Astron. Soc., 173, 183-206, 1975.

33

Coordinate delle stelle più brillanti (J2000.0)

Num Bay Cost Nome ** Vmag RAdec Decdec Lon Lat ARh ARm ARs DE- DEd DEm DEs1 Alp CMa Sirius x -1.46 6.75 -16.72 104.08 -39.61 6 45 8.9 - 16 42 582 Alp Boo Arcturus x -0.04 14.26 19.18 204.23 30.74 14 15 39.7 + 19 10 573 Alp Lyr Vega x 0.03 18.62 38.78 285.32 61.73 18 36 56.3 + 38 47 14 Alp Aur Capella x 0.08 5.28 46.00 81.86 22.86 5 16 41.4 + 45 59 535 Bet Ori Rigel x 0.12 5.24 -8.20 76.83 -31.12 5 14 32.3 - 8 12 66 Alp CMi Procyon x 0.38 7.66 5.00 115.83 -16.24 7 39 18.1 + 5 13 307 Alp Ori Betelgeuse x 0.50 5.92 7.41 88.75 -16.03 5 55 10.3 + 7 24 258 Alp Aql Altair x 0.77 19.85 8.87 301.78 29.30 19 50 47.0 + 8 52 69 Alp Tau Aldebaran x 0.85 4.60 16.51 69.79 -5.47 4 35 55.2 + 16 30 3310 Alp Sco Antares 0.96 16.49 -26.43 249.76 -4.57 16 29 24.4 - 26 25 5511 Alp Vir Spica x 0.98 13.42 -11.16 203.84 -2.05 13 25 11.6 - 11 9 4112 Bet Gem Pollux x 1.14 7.78 28.03 113.54 6.74 7 45 18.9 + 28 1 3413 Alp PsA Fomalhaut 1.16 22.96 -29.62 333.86 -21.14 22 57 39.1 - 29 37 2014 Alp Cyg Deneb x 1.25 20.69 45.28 335.33 59.91 20 41 25.9 + 45 16 4915 Alp Leo Regulus x 1.35 10.14 11.97 149.83 0.46 10 8 22.3 + 11 58 216 Eps CMa Adhara 1.50 6.98 -28.97 110.76 -51.36 6 58 37.5 - 28 58 2017 Bet Tau Elnath 1.65 5.44 28.61 82.57 5.39 5 26 17.5 + 28 36 2718 Eps Ori Alnilam 1.70 5.60 -1.20 83.46 -24.51 5 36 12.8 - 1 12 719 Eps UMa Alioth 1.77 12.90 55.96 158.93 54.32 12 54 1.7 + 55 57 3520 Alp UMa Dubhe x 1.79 11.06 61.75 135.20 49.68 11 3 43.7 + 61 45 321 Alp Per Mirfak (Algenib) x 1.79 3.41 49.86 62.08 30.13 3 24 19.4 + 49 51 4022 Eta UMa Alkaid x 1.86 13.79 49.31 176.93 54.39 13 47 32.4 + 49 18 4823 Gam Gem Alhena 1.93 6.63 16.40 99.10 -6.74 6 37 42.7 + 16 23 5724 Alp Hya Alphard x 1.98 9.46 -8.66 147.28 -22.38 9 27 35.2 - 8 39 3125 Alp Ari Hamal x 2.00 2.12 23.46 37.66 9.96 2 7 10.4 + 23 27 4526 Alp UMi Polaris x 2.02 2.53 89.26 88.57 66.10 2 31 48.7 + 89 15 5127 Sig Sgr Nunki 2.02 18.92 -26.30 282.39 -3.45 18 55 15.9 - 26 17 4828 Bet Cet Diphda 2.04 0.73 -17.99 2.58 -20.78 0 43 35.4 - 17 59 1229 Bet And Mirach 2.06 1.16 35.62 30.41 25.94 1 9 43.9 + 35 37 1430 Alp And Alpheratz (Sirah) x 2.06 0.14 29.09 14.31 25.68 0 8 23.3 + 29 5 2631 Kap Ori Saiph 2.06 5.80 -9.67 86.40 -33.07 5 47 45.4 - 9 40 1132 Bet UMi Kochab 2.08 14.85 74.16 133.32 72.99 14 50 42.3 + 74 9 2033 Alp Oph Rasalhague x 2.08 17.58 12.56 262.45 35.84 17 34 56.1 + 12 33 3634 Bet Per Algol 2.12 3.14 40.96 56.17 22.43 3 8 10.1 + 40 57 2035 Bet Leo Denebola 2.14 11.82 14.57 171.62 12.27 11 49 3.6 + 14 34 1936 Gam Cyg Sadr 2.20 20.37 40.26 324.84 57.12 20 22 13.7 + 40 15 2437 Alp Cas Schedar 2.23 0.68 56.54 37.78 46.62 0 40 30.5 + 56 32 1438 Gam Dra Eltanin (Etamin) 2.23 17.94 51.49 267.97 74.92 17 56 36.4 + 51 29 2039 Alp CrB Alphecca x 2.23 15.58 26.71 222.30 44.32 15 34 41.3 + 26 42 5340 Gam1 And Almaak 2.26 2.07 42.33 44.23 27.81 2 3 54.0 + 42 19 4741 Bet Cas Caph x 2.27 0.15 59.15 35.12 51.21 0 9 10.7 + 59 8 5942 Zet UMa Mizar 2.27 13.40 54.93 165.70 56.38 13 23 55.5 + 54 55 3143 Del Sco Dschubba 2.32 16.01 -22.62 242.57 -1.99 16 0 20.0 - 22 37 1844 Bet UMa Merak 2.37 11.03 56.38 139.43 45.13 11 1 50.5 + 56 22 5745 Eps Peg Enif x 2.39 21.74 9.88 331.88 22.10 21 44 11.2 + 9 52 3046 Bet Peg Scheat x 2.42 23.06 28.08 359.37 31.14 23 3 46.5 + 28 4 5847 Eta Oph Sabik x 2.43 17.17 -15.72 257.97 7.20 17 10 22.7 - 15 43 2948 Alp Cep Alderamin 2.44 21.31 62.59 12.78 68.91 21 18 34.8 + 62 35 849 Gam UMa Phad 2.44 11.90 53.69 150.48 47.14 11 53 49.8 + 53 41 4150 Eps Cyg Gienah Cygni 2.46 20.77 33.97 327.75 49.42 20 46 12.7 + 33 58 13

** sono le stelle che con maggiore frequenza sono rappresentate sulla rete di un astrolabio

34

Trigonometria piana

Definizioni

sin(x) = a / c csc(x) = 1 / sin(x) = c / a cos(x) = b / c sec(x) = 1 / cos(x) = c / b tan(x) = sin(x) / cos(x) = a/b cot(x) = 1 / tan(x) = b / a

π 3.14159265359 π / 180 = 1 rad 57.29577951308 180 / π 0.01745329252

Identità trigonometriche

sin(-x) = -sin(x) cos x = sin(π/2 x) csc(-x) = -csc(x) sin x = cos(π/2 x) cos(-x) = cos(x) cox x = tan(π/2 x) sec(-x) = sec(x) tan x = cot(π/2 x) tan(-x) = -tan(x) csc x = sec(π/2 x) cot(-x) = -cot(x) sec x = csc(π/2 x) sin^2(x) + cos^2(x) = 1 tan^2(x) + 1 = sec^2(x) cot^2(x) + 1 = csc^2(x) sin(x±y) = sin x cos y ± cos x sin y cos(x±y) = cos x cosy -+sin x sin y tan(x±y) = (tan x±tan y) / (1 -+ tan x tan y) sin(2x) = 2 sin x cos x cos(2x) = cos^2(x) - sin^2(x) = 2 cos^2(x) - 1 = 1 - 2 sin^2(x) tan(2x) = 2 tan(x) / (1 - tan^2(x))

Elementi di un triangolo

Triangolo abc con angoli A,B,C; a è opposto a A, b opposto a B, c opposto a C: a/sin(A) = b/sin(B) = c/sin(C) (Legge dei seni) c^2 = a^2 + b^2 - 2ab cos(C) b^2 = a^2 + c^2 - 2ac cos(B) (Legge dei coseni) a^2 = b^2 + c^2 - 2bc cos(A)

(a - b)/(a + b) = tan 1/2(A-B) / tan 1/2(A+B) (Legge delle tangenti)

35

Funzioni di angoli opposti, complementari, supplementari

-x 90-x 90+x 180-x sin -sin cos cos sincos cos sin -sin -costan -tan cot -cot -tancot -cot tan -tan -cot

Valori principali Angolo sin cos tan

0 0 1 07.5 0.13 0.99 0.1315 0.26 0.97 0.27

22.5 0.38 0.92 0.4130 0.5 0.87 0.57

37.5 0.61 0.8 0.7645 0.71 0.71 1

52.5 0.8 0.61 1.3160 0.87 0.5 1.74

67.5 0.92 0.38 2.4275 0.97 0.26 3.73

82.5 0.99 0.13 7.6290 1 0 ∞

Calcolo dell'arcotangente L'arcotangente va calcolata nel quadrante giusto, meglio calcolare numeratore e denominatore separatamente con i loro segni, il quadrante corretto per il risultato sarà:

tan x = A/B A B x + + 0÷90 + - 90÷180 - + 270÷360 - - 180÷270

36

Trigonometria sferica

Sfera trigonometrica Le principali definizioni di geometria sulla sfera possono essere date utilizzando una sfera di raggio unitario, detta sfera trigonometrica, con il centro nellorigine di una terna di assi cartesiani orientati come in Fig. 1. Di seguito sono riportate le principali definizioni e formule di maggior utilizzo nei calcoli astronomici e nautici. Circolo massimo: qualsiasi cerchio ottenuto tagliando la sfera con un piano passante per il suo centro. I circoli massimi ottenuti con i piani fondamentali xy, xz ed yz sono anche detti circoli massimi fondamentali. Circolo minore: qualsiasi cerchio ottenuto tagliando la sfera con un piano non passante per il centro. Distanza sferica fra due punti sulla sfera: coincide con larco di circolo massimo, minore di mezza circonferenza, che ha per estremi quei punti. La distanza viene normalmente misurata in gradi e corrisponde allangolo al centro sotteso dal suddetto arco. Poli o centri sferici di un circolo: sono gli estremi del diametro della sfera, perpendicolare al piano del circolo e passante per il centro della sfera.

Raggi sferici di un circolo: sono le distanze sferiche di un polo da un punto qualsiasi del circolo; normalmente dei due poli si considera quello a cui corrisponde un raggio sferico minore di mezza circonferenza.

37

Angolo fra due circoli massimi: è langolo formato dalle tangenti in uno dei loro due punti comuni, coincidente anche con langolo diedro fra i due piani formanti i suddetti circoli. Se uno dei due circoli passa per i poli dellaltro, langolo fra i due è retto. Perpendicolare sferica: dato un circolo massimo C ed un punto P (non appartenente a C), la perpendicolare sferica coincide con il circolo massimo passante per P e per i poli del cerchio C. Larco fra il punto P ed il punto intersezione della perpendicolare con il cerchio C, rappresenta la distanza sferica del punto dal cerchio C. Triangolo sferico è la superficie sulla sfera trigonometrica limitata da tre archi di circolo massimo passanti per tre punti detti vertici; tali punti non devono appartenere allo stesso circolo massimo e gli archi non devono avere alcun punto d'intersezione al di fuori dei vertici. Si può facilmente verificare che tre punti su una sfera definiscono otto triangoli sferici, ma soltanto uno ha tutti i lati più piccoli di una semicirconferenza. Lati del triangolo sferico: sono le lunghezze degli archi AB, BC, CA che limitano la superficie. Tali lati, per quanto già detto, sono minori o uguali a 180°. Angoli del triangolo sferico: sono gli angoli formati dai tre archi di circolo massimo. Eccesso sferico: è dato dalla differenza ∆ = A+B+C-180° in quanto in un triangolo sferico la somma degli angoli può essere compresa fra 1 e 3 angoli piatti.

Triangoli sferici rettangoli: sono i triangoli con un angolo retto; possono esistere anche triangoli con due o tre angoli retti, chiamati triangoli birettangoli o trirettangoli. Triangoli sferici rettilateri: sono i triangoli con un lato lungo 90°. Analogamente possono esistere triangoli birettilateri e trirettilateri.

38

Principali relazioni trigonometriche Formule di Eulero (Teorema del coseno) Il coseno di un lato è uguale al prodotto dei coseni degli altri due lati più il prodotto dei seni moltiplicati per il coseno dell'angolo opposto.

cos a = cos b cos c + sin b sin c cos A cos b = cos a cos c + sin a sin c cos B cos c = cos a cos b + sin a sin b cos B

Teorema dei seni Il rapporto fra il seno di un angolo ed il seno del lato opposto è costante.

sin A -------- sin a

=sin B

-------- sin b

=sin C

-------- sin c

Teorema delle cotangenti Sono formule che legano fra loro quattro elementi consecutivi: due lati e due angoli; complessivamente sono sei formule che si possono ricavare ricorrendo ad una regola mnemonica illustrata di seguito con un esempio. Siano a, C, b, A i quattro elementi consecutivi da legare con la suddetta formula. Si disegna il triangolo sferico e si traccia una linea spezzata come mostrato in figura, si parte dal lato esterno a (lato non compreso fra i due angoli), si va all'altro lato c, si ritorna nell'angolo compreso C e si raggiunge infine l'angolo A opposto al lato a di partenza.

Si scrivono due terne di funzioni, di cui la prima è Cot, Sin e Cos (cotangente, seno e coseno) e la seconda è limmagine speculare della prima; le sei funzioni trigonometriche vanno divise in tre coppie, fra la prima e la seconda si pone il segno d'uguaglianza, fra le ultime due si pone il segno più. Gli argomenti delle sei funzioni trigonometriche sono nell'ordine quelli indicati dalla precedente spezzata, con l'avvertenza di scrivere due volte gli elementi corrispondenti alle cuspidi della spezzata: angolo C e lato b nell'esempio di figura. Nellesempio proposto si ha in definitiva:

cot a sin b = cos b cos C + sin C cot A

Le altre relazioni sono: cot a sin c = cos c cos B + sin B cot A cot b sin a = cos a cos C + sin C cot B cot b sin c = cos c cos A + sin A cot B cot c sin a = cos a cos B + sin B cot C cot c sin b = cos b cos A + sin A cot C

39

Triangoli sferici rettangoli Tutte le formule precedenti si semplificano notevolmente nel caso di triangoli sferici rettangoli; considerando anche altre formule non riportate precedentemente, si ottengono dieci formule ridotte che possono essere facilmente ricordate con la regola mnemonica di Nepero. Si disegna una stella a cinque punte ed in ogni settore si scrivono consecutivamente tutti gli elementi del triangolo saltando l'angolo retto e sostituendo i cateti con i loro complementi. Il coseno di un elemento è uguale al prodotto delle cotangenti degli elementi adiacenti oppure è uguale al prodotto dei seni degli elementi opposti.

Nel trascrivere gli elementi nei vari settori non importa da quale si parte e dal verso (orario o antiorario). In Fig. 4 è riportato il caso dellangolo retto in A, applicando la precedente regola al lato a si ottengono:

cos a = cot B cot C cos a = sin(90°-b) sin(90°-c) = cos b cos c

Procedendo analogamente per gli altri quattro elementi si ottengono in totale le dieci formule già menzionate.

Plane Trigonometry Spherical Trigonometry

valid if a,b,c <<<1 rad

Law of Sines

Law of Cosines

40

Simboli GST Tempo siderale a Greenwich (ore) LST Tempo siderale locale (ore) HA angolo orario JD giorno giuliano d2000 giorni dal 1 gennaio 2000 0h UT dMM giorno del mese dAA giorno dell'anno = numero di giorni dal 1 gennaio T secoli giuliani (36525 giorni) dall'epoca J2000.0 L Longitudine geografica (est -; ovest + ) ϕ Latitudine geografica UT Tempo Universale (ora di Greenwich) TDT Tempo Dinamico Terrestre (~ET, tempo delle effemeridi) ∆T Delta T (UT-TDT) Et Equazione del tempo (Sole vero-Sole medio) AA anno (se anno d.C.: AA = AA, se anno a.C.: AA = -(AA - 1) MM mese GG giorno hh ora mm minuti ss secondi β latitudine celeste λ longitudine celeste ε obliquità dell'eclittica A azimuth h altezza δ declinazione α ascensione retta J2000.0 = 2451545.0 = 1 gen 2000 12h UT X mod Y = resto di X/Y int(X) = parte intera di X frac(X) = parte decimale di X X \ Y = divisione intera = parte intera di X/Y (ignorare i decimali) ore = gradi / 15 gradi = ore · 15 PosF(X) = frac(X) se X>0, 1-frac(X) se X<0

41

Zodiaco Segno Abbrev λ° Simb

Ariete Aries Ari 0 " Toro Taurus Tau 30 $ Gemelli Gemini Gem 60 % Cancro Cancer Cnc 90 & Leone Leo Leo 120 ' Vergine Virgo Vir 150 ( Bilancia Libra Lib 180 ) Scorpione Scorpio Sco 210 * Sagittario Sagittarius Sgr 240 + Capricorno Capricornus Cap 270 , Acquario Aquarius Aqr 300 - Pesci Pisces Psc 330 .

42

Alfabeto greco

alpha α Α nu ν Ν beta β Β omicron ο Ο gamma γ Γ pi π Π delta δ ∆ rho ρ Ρ epsilon ε Ε sigma σ,ς Σ zeta ζ Ζ tau τ Τ eta η Η upsilon υ Υ theta θ Θ phi ϕ Φ iota ι Ι chi χ Χ kappa κ Κ xi ξ Ξ lambda λ Λ psi ψ Ψ mu µ Μ omega ω Ω

43

Costellazioni

Centro approssim. (J2000.0) Nome latino Nome italiano abbr. αh αm δ δ° δ' Andromeda Andromeda And 0 34 + 39 15Antlia Macchina Pneumatica Ant 10 7 - 33 21Apus Uccello del Paradiso Aps 16 8 - 76 35Aquarius Acquario Aqr 22 42 - 10 28Aquila Aquila Aql 19 41 + 3 22Ara Altare Ara 17 14 - 51 7Aries Ariete Ari 2 41 + 22 34Auriga Auriga Aur 5 57 + 42 49Boötes Boote Boo 14 41 + 32 20Caelum Bulino Cae 4 43 - 38 10Camelopardus Giraffa Cam 6 9 + 71 58Cancer Cancro Cnc 8 30 + 2 3 3 4Canes Venatici Cani da Caccia CVn 13 1 + 42 21Canis Major Cane Maggiore CMa 6 50 - 22 19Canis Minor Cane Minore CMi 7 37 + 6 46Capricornus Capricorno Cap 21 3 - 19 21Carina Carena Car 7 46 - 57 50Cassiopeia Cassiopea Cas 0 52 + 60 18Centaurus Centa uro Cen 12 57 - 44 0Cepheus Cefeo Cep 22 25 + 72 34Cetus Balena Cet 1 43 - 6 22Chamaeleon Camal eonte Cha 12 0 - 81 1Circinus Compasso Cir 14 32 - 67 18Columba Colomba Col 5 42 - 37 55Coma Berenices Chioma di Berenice Com 12 45 + 22 39Corona Australis Corona Australe CrA 18 39 - 41 45Corona Borealis Corona Boreale CrB 15 53 + 32 38Corvus Corvo Crv 12 23 - 18 38Crater Cratere Crt 11 21 - 13 45Crux Croce del Sud Cru 12 29 - 60 18Cygnus Cigno Cyg 20 36 + 49 35Delphinus Delfino Del 20 40 + 12 6Dorado Dorado Dor 5 20 - 63 1Draco Dra gone Dra 17 57 + 66 4Equuleus Cavallu ccio Equ 21 15 + 7 56Eridanus Eridano Eri 3 53 - 17 59Fornax Forn ace For 2 46 - 26 4Gemini Gemelli Gem 6 51 + 24 49Grus Gru Gru 22 27 - 45 8Hercules Ercole Her 17 26 + 31 14Horologium Orolo gio Hor 3 13 - 52 0Hydra Idra Hya 9 8 - 11 41Hydrus Idra Australe Hyi 2 35 - 72 55Indus Indiano Ind 21 8 - 52 19Lacerta Lucertola Lac 22 31 + 46 40Leo Leone Leo 10 0 + 7 0Leo Minor Leone Minore LMi 10 19 + 33 14Lepus Lepre Lep 5 26 - 19 39Libra Bilancia Lib 15 11 - 15 33

44

Centro approssim. (J2000.0) Nome latino Nome italiano abbr. αh αm δ δ° δ' Lupus Lupo Lup 15 23 - 42 43Lynx Lince Lyn 7 44 + 47 50Lyra Lira Lyr 18 54 + 40 39Mensa Mensa Men 5 30 - 79 1Microscopium Micr oscopio Mic 20 57 - 36 48Monoceros Uni corno Mon 6 58 - 3 16Musca Mosca Mus 12 28 - 69 8Norma Squadra Nor 16 3 - 52 43Octans Ottante Oct 22 10 - 84 16Ophiuchus Ofiuco Oph 17 2 - 2 21Orion Orion e Ori 5 34 + 3 35Pavo Pavone Pav 19 10 - 65 52Pegasus Pegaso Peg 22 37 + 19 39Perseus Perseo Per 3 31 + 44 53Phoenix Fenice Phe 0 44 - 48 46Pictor Pittore Pic 5 23 - 51 22Pisces Pesci Psc 0 53 + 15 29Piscis Austrinus Pesce Australe PsA 22 25 - 31 34Puppis Poppa Pup 7 52 - 32 37Pyxis Bussola Pyx 8 53 - 29 47Reticulum Reticolo Ret 3 54 - 60 31Sagitta Saetta Sge 19 40 + 17 0Sagittarius Sagittario Sgr 19 23 - 29 53Scorpius Scorpione Sco 16 52 - 35 20Sculptor Scultore Scl 1 0 - 38 31Scutum Scudo Sct 18 39 - 10 53Serpens Caput Serpente Ser 15 44 + 10 51Serpens Cauda Serpente Ser 17 57 - 13 29Sextans Sestante Sex 10 6 - 1 8Taurus Toro Tau 4 6 + 17 20Telescopium Telescopio Tel 19 15 - 51 28Triangulum Triangolo Tri 2 3 + 32 20Triangulum Australe Triangolo Australe TrA 16 7 - 65 6Tucana Tucano Tuc 23 50 - 64 56Ursa Major Orsa Maggiore UMa 10 16 + 57 29Ursa Minor Orsa Minore UMi 14 58 + 75 2Vela Vela Vel 9 20 - 48 29Virgo Vergin e Vir 13 21 - 3 31Volans Pesce Volante Vol 7 40 - 69 37Vulpecula Volpetta Vul 20 22 + 25 2

45

Costellazioni obsolete

Costellazione Inventore Posizione odierna stelle Argo a.C. (Ipparco, Tolomeo) Vela, Puppis e Carina Anser Heveliu s 1690 Vulpecula Antinous a.C. Aquila Cancer Minor Lubienitzki (1623-1675) Cancer e Gemini Caput Medusae Plinio e Ipparco Perseus Cor Caroli Halley 1677 Alpha Canes Venatici (stella

doppia) Cerberus Heveliu s 1687 Hercules Custos Messium o Le Messier de La Lande (1732-1807) Cepheus e Cassiopeia Felis de La Lande Hydra Fleur de Lys o Lilium Pardies 1674 e Royer 1679 Aries Gallus Plancius 1598 o Bartsch 1624 Argo Navis Globus Aerostaticus de La Lande 1798 Piscis Austrinus e Microscopium Honeres Frederici o Frederici Gloria

Bode 1787 Andromeda

Jordanus Fluvius Plancius 1613 Lochium Funis Bode 1787 Argo Navis Machina Electrica Bode 1787 Fornax Mons Maenalus Hevelius 1690, Flamsteed Bootes Musca Borealis (Apes, Vespa) Plancius 1598, Bartsch 1624 Aries Noctua Burritt 1833 Hydra, Libra e Virgo Norma Nilotica Burritt 1833 Aquarius Nubecula o Nubes Major Magellan 1519 Dorado e Mensa Nubecula o Nubes Minor Magellan 1519 Tucana Officina Typographica Bode 1787 Puppis Psalterium Georgii o Georgianum

Hell 1781, (Bode la chiama Harpa Georgii)

Eridanus

Quadrans Muralis de La Lande Bootes Quadratum Allard 1700 vicino alla Grande Nube di

Magellano Robur Carolinum Halley 1677 Argo Navis Sagitta Australis Hevelius 1645 Scorpius e Sagittarius Sceptre e Hand of Justice Roget 1679 Lacerta Sceptrum Brandenburgicum Kirch 1688 Eridanus Solarium Burritt 1833 Hydrus e Dorado Solitarius o Turdus Solitarius Le Monnier 1776 Hydra, Libra e Virgo Taurus Poniatowski Poczobut 1777 Ophiuchus Tarandus vel Rangifer Le Monnier 1776 Cepheus e Cassiopeia Telescopium Herscelii Major Hell 1781 Auriga Telescopium Herscelii Minor Hell 1781 Taurus Telescopium Herscelii Bode (combinando i precedenti)

1787 Taurus

Tigris o Euphrates Fluvius Bartsch 1624 Ophiuchus, Lyra, Cygnus PegasusTriangulum Minor Hevelius 1687 tre stelle a sud del Triangulum

Major verso Hamal (Alpha Arietis)

46

Tavole trigonometriche gradi sin cos tan cotan radianti

0.00 0.000 00 1.000 00 0.00000 0.00000 0.30 0.008 73 0.999 96 0.00873 114.58865 0.00873 1.00 0.017 45 0.999 85 0.01746 57.28996 0.01745 1.30 0.026 18 0.999 66 0.02619 38.18846 0.02618 2.00 0.034 90 0.999 39 0.03492 28.63625 0.03491 2.30 0.043 62 0.999 05 0.04366 22.90377 0.04363 3.00 0.052 34 0.998 63 0.05241 19.08114 0.05236 3.30 0.061 05 0.998 13 0.06116 16.34986 0.06109 4.00 0.069 76 0.997 56 0.06993 14.30067 0.06981 4.30 0.078 46 0.996 92 0.07870 12.70620 0.07854 5.00 0.087 16 0.996 19 0.08749 11.43005 0.08727 5.30 0.095 85 0.995 40 0.09629 10.38540 0.09599 6.00 0.104 53 0.994 52 0.10510 9.51436 0.10472 6.30 0.113 20 0.993 57 0.11394 8.77689 0.11345 7.00 0.121 87 0.992 55 0.12278 8.14435 0.12217 7.30 0.130 53 0.991 44 0.13165 7.59575 0.13090 8.00 0.139 17 0.990 27 0.14054 7.11537 0.13963 8.30 0.147 81 0.989 02 0.14945 6.69116 0.14835 9.00 0.156 43 0.987 69 0.15838 6.31375 0.15708 9.30 0.165 05 0.986 29 0.16734 5.97576 0.16581

10.00 0.173 65 0.984 81 0.17633 5.67128 0.17453 10.30 0.182 24 0.983 25 0.18534 5.39552 0.18326 11.00 0.190 81 0.981 63 0.19438 5.14455 0.19199 11.30 0.199 37 0.979 92 0.20345 4.91516 0.20071 12.00 0.207 91 0.978 15 0.21256 4.70463 0.20944 12.30 0.216 44 0.976 30 0.22169 4.51071 0.21817 13.00 0.224 95 0.974 37 0.23087 4.33148 0.22689 13.30 0.233 45 0.972 37 0.24008 4.16530 0.23562 14.00 0.241 92 0.970 30 0.24933 4.01078 0.24435 14.30 0.250 38 0.968 15 0.25862 3.86671 0.25307 15.00 0.258 82 0.965 93 0.26795 3.73205 0.26180 15.30 0.267 24 0.963 63 0.27732 3.60588 0.27053 16.00 0.275 64 0.961 26 0.28675 3.48741 0.27925 16.30 0.284 02 0.958 82 0.29621 3.37594 0.28798 17.00 0.292 37 0.956 30 0.30573 3.27085 0.29671 17.30 0.300 71 0.953 72 0.31530 3.17159 0.30543 18.00 0.309 02 0.951 06 0.32492 3.07768 0.31416 18.30 0.317 30 0.948 32 0.33460 2.98868 0.32289 19.00 0.325 57 0.945 52 0.34433 2.90421 0.33161 19.30 0.333 81 0.942 64 0.35412 2.82391 0.34034 20.00 0.342 02 0.939 69 0.36397 2.74748 0.34907 20.30 0.350 21 0.936 67 0.37388 2.67462 0.35779 21.00 0.358 37 0.933 58 0.38386 2.60509 0.36652 21.30 0.366 50 0.930 42 0.39391 2.53865 0.37525 22.00 0.374 61 0.927 18 0.40403 2.47509 0.38397 22.30 0.382 68 0.923 88 0.41421 2.41421 0.39270 23.00 0.390 73 0.920 50 0.42447 2.35585 0.40143 23.30 0.398 75 0.917 06 0.43481 2.29984 0.41015 24.00 0.406 74 0.913 55 0.44523 2.24604 0.41888 24.30 0.414 69 0.909 96 0.45573 2.19430 0.42761 25.00 0.422 62 0.906 31 0.46631 2.14451 0.43633 25.30 0.430 51 0.902 59 0.47698 2.09654 0.44506 26.00 0.438 37 0.898 79 0.48773 2.05030 0.45379 26.30 0.446 20 0.894 93 0.49858 2.00569 0.46251 27.00 0.453 99 0.891 01 0.50953 1.96261 0.47124 27.30 0.461 75 0.887 01 0.52057 1.92098 0.47997 28.00 0.469 47 0.882 95 0.53171 1.88073 0.48869 28.30 0.477 16 0.878 82 0.54296 1.84177 0.49742 29.00 0.484 81 0.874 62 0.55431 1.80405 0.50615 29.30 0.492 42 0.870 36 0.56577 1.76749 0.51487 30.00 0.500 00 0.866 03 0.57735 1.73205 0.52360

47

gradi sin cos tan cotan radianti 30.00 0.500 00 0.86603 0.57735 1.73205 0.52360 30.30 0.507 54 0.86163 0.58905 1.69766 0.53233 31.00 0.515 04 0.85717 0.60086 1.66428 0.54105 31.30 0.522 50 0.85264 0.61280 1.63185 0.54978 32.00 0.529 92 0.84805 0.62487 1.60033 0.55851 32.30 0.537 30 0.84339 0.63707 1.56969 0.56723 33.00 0.544 64 0.83867 0.64941 1.53986 0.57596 33.30 0.551 94 0.83389 0.66189 1.51084 0.58469 34.00 0.559 19 0.82904 0.67451 1.48256 0.59341 34.30 0.566 41 0.82413 0.68728 1.45501 0.60214 35.00 0.573 58 0.81915 0.70021 1.42815 0.61087 35.30 0.580 70 0.81412 0.71329 1.40195 0.61959 36.00 0.587 79 0.80902 0.72654 1.37638 0.62832 36.30 0.594 82 0.80386 0.73996 1.35142 0.63705 37.00 0.601 82 0.79864 0.75355 1.32704 0.64577 37.30 0.608 76 0.79335 0.76733 1.30323 0.65450 38.00 0.615 66 0.78801 0.78129 1.27994 0.66323 38.30 0.622 51 0.78261 0.79544 1.25717 0.67195 39.00 0.629 32 0.77715 0.80978 1.23490 0.68068 39.30 0.636 08 0.77162 0.82434 1.21310 0.68941 40.00 0.642 79 0.76604 0.83910 1.19175 0.69813 40.30 0.649 45 0.76041 0.85408 1.17085 0.70686 41.00 0.656 06 0.75471 0.86929 1.15037 0.71558 41.30 0.662 62 0.74896 0.88473 1.13029 0.72431 42.00 0.669 13 0.74314 0.90040 1.11061 0.73304 42.30 0.675 59 0.73728 0.91633 1.09131 0.74176 43.00 0.682 00 0.73135 0.93252 1.07237 0.75049 43.30 0.688 35 0.72537 0.94896 1.05378 0.75922 44.00 0.694 66 0.71934 0.96569 1.03553 0.76794 44.30 0.700 91 0.71325 0.98270 1.01761 0.77667 45.00 0.707 11 0.70711 1.00000 1.00000 0.78540 45.30 0.713 25 0.70091 1.01761 0.98270 0.79412 46.00 0.719 34 0.69466 1.03553 0.96569 0.80285 46.30 0.725 37 0.68835 1.05378 0.94896 0.81158 47.00 0.731 35 0.68200 1.07237 0.93252 0.82030 47.30 0.737 28 0.67559 1.09131 0.91633 0.82903 48.00 0.743 14 0.66913 1.11061 0.90040 0.83776 48.30 0.748 96 0.66262 1.13029 0.88473 0.84648 49.00 0.754 71 0.65606 1.15037 0.86929 0.85521 49.30 0.760 41 0.64945 1.17085 0.85408 0.86394 50.00 0.766 04 0.64279 1.19175 0.83910 0.87266 50.30 0.771 62 0.63608 1.21310 0.82434 0.88139 51.00 0.777 15 0.62932 1.23490 0.80978 0.89012 51.30 0.782 61 0.62251 1.25717 0.79544 0.89884 52.00 0.788 01 0.61566 1.27994 0.78129 0.90757 52.30 0.793 35 0.60876 1.30323 0.76733 0.91630 53.00 0.798 64 0.60182 1.32704 0.75355 0.92502 53.30 0.803 86 0.59482 1.35142 0.73996 0.93375 54.00 0.809 02 0.58779 1.37638 0.72654 0.94248 54.30 0.814 12 0.58070 1.40195 0.71329 0.95120 55.00 0.819 15 0.57358 1.42815 0.70021 0.95993 55.30 0.824 13 0.56641 1.45501 0.68728 0.96866 56.00 0.829 04 0.55919 1.48256 0.67451 0.97738 56.30 0.833 89 0.55194 1.51084 0.66189 0.98611 57.00 0.838 67 0.54464 1.53986 0.64941 0.99484 57.30 0.843 39 0.53730 1.56969 0.63707 1.00356 58.00 0.848 05 0.52992 1.60033 0.62487 1.01229 58.30 0.852 64 0.52250 1.63185 0.61280 1.02102 59.00 0.857 17 0.51504 1.66428 0.60086 1.02974 59.30 0.861 63 0.50754 1.69766 0.58905 1.03847 60.00 0.866 03 0.50000 1.73205 0.57735 1.04720

48

gradi sin cos tan cotan radianti 60.00 0.866 03 0.50000 1.73205 0.57735 1.04720 60.30 0.870 36 0.49242 1.76749 0.56577 1.05592 61.00 0.874 62 0.48481 1.80405 0.55431 1.06465 61.30 0.878 82 0.47716 1.84177 0.54296 1.07338 62.00 0.882 95 0.46947 1.88073 0.53171 1.08210 62.30 0.887 01 0.46175 1.92098 0.52057 1.09083 63.00 0.891 01 0.45399 1.96261 0.50953 1.09956 63.30 0.894 93 0.44620 2.00569 0.49858 1.10828 64.00 0.898 79 0.43837 2.05030 0.48773 1.11701 64.30 0.902 59 0.43051 2.09654 0.47698 1.12574 65.00 0.906 31 0.42262 2.14451 0.46631 1.13446 65.30 0.909 96 0.41469 2.19430 0.45573 1.14319 66.00 0.913 55 0.40674 2.24604 0.44523 1.15192 66.30 0.917 06 0.39875 2.29984 0.43481 1.16064 67.00 0.920 50 0.39073 2.35585 0.42447 1.16937 67.30 0.923 88 0.38268 2.41421 0.41421 1.17810 68.00 0.927 18 0.37461 2.47509 0.40403 1.18682 68.30 0.930 42 0.36650 2.53865 0.39391 1.19555 69.00 0.933 58 0.35837 2.60509 0.38386 1.20428 69.30 0.936 67 0.35021 2.67462 0.37388 1.21300 70.00 0.939 69 0.34202 2.74748 0.36397 1.22173 70.30 0.942 64 0.33381 2.82391 0.35412 1.23046 71.00 0.945 52 0.32557 2.90421 0.34433 1.23918 71.30 0.948 32 0.31730 2.98868 0.33460 1.24791 72.00 0.951 06 0.30902 3.07768 0.32492 1.25664 72.30 0.953 72 0.30071 3.17159 0.31530 1.26536 73.00 0.956 30 0.29237 3.27085 0.30573 1.27409 73.30 0.958 82 0.28402 3.37594 0.29621 1.28282 74.00 0.961 26 0.27564 3.48741 0.28675 1.29154 74.30 0.963 63 0.26724 3.60588 0.27732 1.30027 75.00 0.965 93 0.25882 3.73205 0.26795 1.30900 75.30 0.968 15 0.25038 3.86671 0.25862 1.31772 76.00 0.970 30 0.24192 4.01078 0.24933 1.32645 76.30 0.972 37 0.23345 4.16530 0.24008 1.33518 77.00 0.974 37 0.22495 4.33148 0.23087 1.34390 77.30 0.976 30 0.21644 4.51071 0.22169 1.35263 78.00 0.978 15 0.20791 4.70463 0.21256 1.36136 78.30 0.979 92 0.19937 4.91516 0.20345 1.37008 79.00 0.981 63 0.19081 5.14455 0.19438 1.37881 79.30 0.983 25 0.18224 5.39552 0.18534 1.38754 80.00 0.984 81 0.17365 5.67128 0.17633 1.39626 80.30 0.986 29 0.16505 5.97576 0.16734 1.40499 81.00 0.987 69 0.15643 6.31375 0.15838 1.41372 81.30 0.989 02 0.14781 6.69116 0.14945 1.42244 82.00 0.990 27 0.13917 7.11537 0.14054 1.43117 82.30 0.991 44 0.13053 7.59575 0.13165 1.43990 83.00 0.992 55 0.12187 8.14435 0.12278 1.44862 83.30 0.993 57 0.11320 8.77689 0.11394 1.45735 84.00 0.994 52 0.10453 9.51436 0.10510 1.46608 84.30 0.995 40 0.09585 10.38540 0.09629 1.47480 85.00 0.996 19 0.08716 11.43005 0.08749 1.48353 85.30 0.996 92 0.07846 12.70620 0.07870 1.49226 86.00 0.997 56 0.06976 14.30067 0.06993 1.50098 86.30 0.998 13 0.06105 16.34986 0.06116 1.50971 87.00 0.998 63 0.05234 19.08114 0.05241 1.51844 87.30 0.999 05 0.04362 22.90377 0.04366 1.52716 88.00 0.999 39 0.03490 28.63625 0.03492 1.53589 88.30 0.999 66 0.02618 38.18846 0.02619 1.54462 89.00 0.999 85 0.01745 57.28996 0.01746 1.55334 89.30 0.999 96 0.00873 114.58865 0.00873 1.56207 90.00 1.000 00 0.00000 ∞ 0.00000 1.57080

49

Bibliografia Meeus, Jean, Astronomical Algorithms, Willmann-Bell 1a ed. inglese, 1991 Duffett-Smith, Peter, Practical Astronomy with your calculator, Cambridge University Press 3^ ed. 1988 Hawkins, G. S., Mindsteps to the Cosmos (1983). trad. it. Cinque passi verso il Cosmo, di Giuseppe Politi, Frassinelli, Milano 1984 Montenbruck, Pfleger, Astronomy on the personal computer, Springer 3rd edition 1988 Seidelmann, P. Kenneth (ed.), Explanatory Supplement to the Astronomical Almanac, University Science Books 1992

50

Carte e Mappe

51

52

53

54

55

56

57

58

Catalogo Storico

In questo catalogo sono riportate le coordinate equatoriali (AR e Declinazione) ed eclittiche (Longitudine e Latitudine) delle 173 stelle più brillanti (fino a mag 3.0) ridotte per l'equinozio medio dal 4713 a.C. ad oggi (AD 2000) ogni 500 anni.

4713

a.C

.45

00 a

.C.

4000

a.C

.#

BS

CId

Co

stN

om

eM

agA

R (

h)

Dec

(º)

Lo

n (

º)L

at (

º)A

R (

h)

Dec

(º)

Lo

n (

º)L

at (

º)A

R (

h)

Dec

(º)

Lo

n (

º)L

at (

º)1

2491

αC

Ma

Siri

us-1

.46

1.87

130

-29.

6484

712

.553

90-3

8.22

038

2.02

616

-28.

6636

415

.434

45-3

8.26

175

2.38

759

-26.

4549

222

.200

21-3

8.35

923

223

26α

Car

Can

opus

-0.7

24.

2199

0-6

0.20

416

12.6

3009

-76.

7724

04.

2705

1-5

9.66

500

15.5

6198

-76.

7410

74.

3970

1-5

8.45

922

22.4

4059

-76.

6675

03

5340

αB

ooA

rctu

rus

-0.0

48.

2119

756

.725

4811

1.53

056

35.1

0050

8.48

145

55.9

0306

114.

4450

834

.970

499.

0816

253

.725

3812

1.29

154

34.6

6292

454

59α

1C

enR

igel

Ken

taur

us-0

.01

9.19

610

-27.

4847

915

1.78

092

-41.

6251

39.

3373

6-2

8.37

239

154.

5424

9-4

1.65

430

9.67

012

-30.

5590

616

1.02

846

-41.

7235

25

7001

αLy

rV

ega

0.03

14.9

7881

50.0

4422

192.

1667

262

.153

4415

.088

7749

.199

4019

5.10

630

62.1

3879

15.3

4787

47.3

1995

202.

0084

162

.104

366

1708

αA

urC

apel

la0.

0822

.730

6316

.545

9334

9.44

479

22.8

1789

22.8

9978

17.6

7773

352.

3426

322

.816

9923

.300

0420

.388

9235

9.15

171

22.8

1584

717

13β

Ori

Rig

el0.

120.

0200

7-3

5.30

713

344.

0945

9-3

1.94

673

0.19

442

-34.

0947

734

7.01

083

-31.

9233

20.

5953

9-3

1.26

615

353.

8610

3-3

1.86

732

829

43α

CM

iP

rocy

on0.

381.

8652

7-4

.018

0724

.332

67-1

4.79

758

2.03

854

-3.0

3267

27.2

0595

-14.

8333

02.

4478

1-0

.835

3333

.955

89-1

4.91

765

947

2α

Eri

Ach

erna

r0.

4614

.033

79-7

8.96

914

251.

4123

2-5

8.85

744

14.4

5010

-79.

9826

625

4.35

479

-58.

8817

115

.727

60-8

1.96

712

261.

2698

8-5

8.93

683

1020

61α

Ori

Bet

elge

use

0.50

0.24

136

-16.

9803

035

6.14

166

-16.

9292

80.

4153

2-1

5.77

077

359.

0516

5-1

6.90

174

0.82

120

-12.

9613

95.

8877

4-1

6.83

644

1152

67β

Cen

Had

ar0.

618.

6424

9-2

6.40

892

141.

9371

3-4

3.47

453

8.78

739

-27.

2015

314

4.81

525

-43.

4903

29.

1280

8-2

9.19

328

151.

5783

7-4

3.52

901

1275

57α

Aql

Alta

ir0.

7714

.467

5716

.486

0920

8.20

501

29.6

7721

14.6

3165

15.5

3497

211.

1459

229

.661

5015

.018

0213

.439

1921

8.05

434

29.6

2528

1314

57α

Tau

Ald

ebar

an0.

8522

.753

66-1

4.54

539

337.

1769

2-5

.867

7922

.936

02-1

3.39

789

340.

0851

7-5

.858

9223

.359

53-1

0.64

856

346.

9176

6-5

.836

7814

6134

αS

coA

ntar

es0.

9610

.511

265.

6096

115

7.30

263

-3.7

5609

10.6

8969

4.47

618

160.

2049

0-3

.778

3311

.106

021.

7473

716

7.02

359

-3.8

3179

1550

56α

Vir

Spi

ca0.

987.

5302

020

.632

1611

1.41

617

-1.7

7865

7.73

332

20.1

2744

114.

3177

2-1

.779

778.

2046

918

.720

3512

1.13

468

-1.7

8450

1629

90β

Gem

Pol

lux

1.14

1.17

012

14.2

9204

21.6

9880

6.06

746

1.35

120

15.4

1915

24.5

7066

6.08

940

1.78

311

17.9

8031

31.3

1813

6.14

058

1787

28α

PsA

Fom

alha

ut1.

1615

.524

05-4

0.41

133

240.

6966

2-2

0.07

248

15.7

5743

-41.

1324

724

3.61

963

-20.

1132

816

.320

57-4

2.57

291

250.

4875

8-2

0.20

741

1848

53β

Cru

Mim

osa

1.25

7.94

188

-28.

0553

613

0.05

185

-48.

1202

58.

0799

7-2

8.66

636

132.

9220

3-4

8.13

057

8.40

408

-30.

2451

513

9.66

636

-48.

1565

719

7924

αC

ygD

eneb

1.25

16.9

4577

37.7

3320

244.

1063

960

.428

4617

.061

5937

.420

4224

6.97

607

60.4

0516

17.3

3474

36.8

2760

253.

7160

460

.352

0720

4730

α1

Cru

Acr

ux1.

337.

8577

9-3

2.17

085

130.

3947

1-5

2.37

217

7.98

861

-32.

7571

413

3.26

038

-52.

3820

08.

2956

6-3

4.27

249

139.

9942

4-5

2.40

691

2154

60α

2C

enP

roxi

ma

1.33

9.19

745

-27.

4909

215

1.80

620

-41.

6234

39.

3386

5-2

8.37

851

154.

5665

3-4

1.65

274

9.67

126

-30.

5650

316

1.04

969

-41.

7222

522

3982

αLe

oR

egul

us1.

353.

6887

620

.261

3457

.748

850.

0189

73.

8892

520

.917

0560

.639

360.

0394

64.

3668

622

.238

5667

.430

430.

0860

823

2618

εC

Ma

Adh

ara

1.50

2.71

637

-39.

9698

218

.442

48-5

2.26

149

2.84

789

-39.

0644

121

.350

58-5

2.23

088

3.15

638

-37.

0535

428

.180

14-5

2.15

920

2447

63γ

Cru

Gac

rux

1.63

7.70

167

-25.

9803

312

4.62

494

-47.

0210

67.

8424

8-2

6.54

013

127.

5141

6-4

7.04

110

8.17

264

-28.

0074

013

4.30

244

-47.

0897

925

6527

λS

coS

haul

a1.

6311

.171

85-8

.548

2017

2.14

147

-12.

8654

711

.345

22-9

.739

8617

5.04

189

-12.

8931

211

.754

23-1

2.56

768

181.

8566

0-1

2.95

878

2617

90γ

Ori

Bel

latr

ix1.

6423

.789

88-2

0.80

464

348.

3637

5-1

7.64

206

23.9

6673

-19.

5933

335

1.27

284

-17.

6180

00.

3774

2-1

6.75

457

358.

1068

1-1

7.56

061

2717

91β

Tau

Eln

ath

1.65

23.2

6494

0.39

990

350.

0800

84.

8537

123

.440

941.

5860

935

2.98

318

4.86

864

23.8

5429

4.39

603

359.

8039

34.

9045

528

3685

βC

arM

iapl

acid

us1.

687.

0026

9-4

9.43

459

122.

7582

7-7

1.82

751

7.08

640

-49.

7618

212

5.54

837

-71.

8343

67.

2814

2-5

0.62

794

132.

1054

5-7

1.85

215

2919

03ε

Ori

Aln

ilam

1.70

0.18

760

-26.

7333

335

0.82

808

-25.

3665

30.

3606

9-2

5.52

364

353.

7401

0-2

5.34

105

0.76

180

-22.

7105

40.

5806

4-2

5.28

042

3084

25α

Gru

Aln

air

1.74

13.7

8478

-45.

9383

922

3.04

126

-31.

8397

414

.000

84-4

7.01

519

225.

9525

9-3

1.87

900

14.5

3220

-49.

3966

223

2.79

370

-31.

9700

731

4905

εU

Ma

Alio

th1.

772.

1881

572

.848

5365

.218

3253

.755

822.

5206

273

.841

9668

.154

9253

.781

023.

4276

075

.878

9975

.056

1053

.838

4532

3207

γ2

Vel

Reg

or1.

784.

7531

0-4

3.18

004

56.2

7496

-65.

0917

04.

8572

6-4

2.80

669

59.1

4307

-65.

0656

75.

1034

8-4

2.05

589

65.8

7845

-65.

0059

933

1017

αP

erM

irfak

1.79

21.4

3083

15.6

7948

329.

8872

329

.472

8621

.592

6216

.642

6333

2.77

781

29.4

8912

21.9

7286

19.0

1766

339.

5698

429

.528

7434

4301

αU

Ma

Dub

he1.

790.

7119

460

.374

0842

.119

1349

.087

930.

9191

461

.555

2145

.033

8549

.111

791.

4466

164

.254

1551

.883

9149

.166

7835

2693

δC

Ma

Wez

en1.

842.

7201

8-3

6.59

901

21.1

2292

-49.

3462

72.

8566

9-3

5.69

511

24.0

2840

-49.

3155

53.

1769

2-3

3.69

244

30.8

5209

-49.

2437

536

6879

εS

grK

aus

Aus

tral

is1.

8511

.888

36-1

0.13

270

182.

6606

7-9

.921

6112

.063

85-1

1.35

125

185.

5606

1-9

.957

3012

.479

64-1

4.20

134

192.

3741

2-1

0.04

148

3733

07ε

Car

Avi

or1.

865.

8087

9-4

8.85

225

83.5

5752

-72.

9359

15.

8922

0-4

8.80

503

86.3

7189

-72.

9206

06.

0887

9-4

8.79

830

92.9

8246

-72.

8865

138

5191

ηU

Ma

Alk

aid

1.86

4.74

444

77.9

6800

83.3

8374

54.2

6390

5.29

144

78.2

7278

86.3

1885

54.2

7596

6.61

914

78.2

9812

93.2

1564

54.3

0222

3965

53θ

Sco

Sar

gas

1.87

11.0

6604

-14.

3256

917

3.15

809

-18.

7681

411

.237

25-1

5.50

916

176.

0575

3-1

8.79

448

11.6

4244

-18.

3234

318

2.87

017

-18.

8570

540

2088

βA

urM

enka

linan

1.90

23.2

7158

17.7

5659

357.

5538

820

.617

9923

.442

8618

.951

350.

4503

120

.645

3723

.849

5121

.780

707.

2559

620

.710

2241

6217

αT

rAA

tria

1.92

9.92

634

-36.

2543

216

8.68

233

-45.

2389

610

.072

00-3

7.30

661

171.

5695

5-4

5.26

584

10.4

1834

-39.

8605

217

8.35

470

-45.

3297

942

2421

γG

emA

lhen

a1.

930.

6022

2-4

.260

506.

5153

0-7

.576

370.

7774

3-3

.068

439.

4231

2-7

.549

531.

1900

3-0

.320

8716

.254

48-7

.486

2843

7790

αP

avP

eaco

ck1.

9412

.169

94-4

0.33

346

201.

2231

2-3

5.22

006

12.3

5031

-41.

5473

320

4.12

450

-35.

2557

412

.789

27-4

4.36

866

210.

9425

3-3

5.33

919

4434

85δ

Vel

1.96

5.58

422

-43.

5538

178

.157

78-6

7.43

990

5.68

414

-43.

4402

081

.012

09-6

7.42

480

5.91

959

-43.

2986

687

.716

22-6

7.39

121

4522

94β

CM

aM

irzam

1.98

1.60

155

-36.

0081

44.

6408

8-4

2.15

821

1.75

296

-34.

9104

97.

5536

0-4

2.12

939

2.10

531

-32.

4218

514

.394

80-4

2.06

141

4628

91α

Gem

Cas

tor

1.98

0.84

267

15.8

9213

17.9

5270

9.42

506

1.02

410

17.0

5938

20.8

4857

9.44

827

1.45

706

19.7

3226

27.6

5251

9.50

259

CA

T.1

4713

a.C

.45

00 a

.C.

4000

a.C

.#

BS

CId

Co

stN

om

eM

agA

R (

h)

Dec

(º)

Lo

n (

º)L

at (

º)A

R (

h)

Dec

(º)

Lo

n (

º)L

at (

º)A

R (

h)

Dec

(º)

Lo

n (

º)L

at (

º)47

3748

αH

yaA

lpha

rd1.

983.

8794

2-2

.789

8455

.098

02-2

3.05

890

4.05

221

-2.1

7286

57.9

9377

-23.

0312

34.

4608

7-0

.916

3064

.796

48-2

2.96

768

4861

7α

Ari

Ham

al2.

0020

.339

30-9

.925

3830

5.09

023

9.93

176

20.5

2680

-9.2

1373

307.

9956

19.

9259

420

.962

61-7

.363

7231

4.82

170

9.91

427

4959

58T

CrB

2.00

10.9

6630

58.1

2984

136.

8920

245

.821

6411

.172

8856

.953

4113

9.82

444

45.8

1024

11.6

2956

54.1

4588

146.

7125

445

.781

6750

424

αU

Mi

Pol

aris

2.02

21.1

1104

54.9

0743

356.

5449

865

.233

5621

.207

7455

.799

3035

9.41

697

65.2

6011

21.4

3362

57.9

7058

6.16

869

65.3

2301

5171

21σ

Sgr

Nun

ki2.

0212

.535

08-6

.255

2018

9.86

812

-2.4

4365

12.7

1253

-7.4

5486

192.

7722

2-2

.476

3113

.132

97-1

0.22

310

199.

5952

2-2

.553

1152

188

βC

etD

iphd

a2.

0417

.939

40-4

4.66

705

269.

3097

4-2

0.51

966

18.1

9642

-44.

6493

627

2.23

791

-20.

5363

818

.797

40-4

4.28

791

279.

1175

8-2

0.57

348

5319

48ζ

Ori

Aln

itak

2.05

0.28

748

-26.

9424

435

2.04

578

-26.

1589

80.

4595

1-2

5.73

538

354.

9579

4-2

6.13

316

0.85

834

-22.

9337

21.

7987

8-2

6.07

177

5415

αA

ndA

lphe

ratz

2.06

18.7

2903

2.32

294

282.

1744

025

.998

4218

.901

782.

5684

428

5.06

594

25.9

8048

19.3

0643

3.35

250

291.

8594

425

.940

4655

337

βA

ndM

irach

2.06

19.6

7827

4.29

788

298.

1473

525

.951

1119

.848

864.

8295

830

1.04

190

25.9

4355

20.2

4765

6.26

296

307.

8427

125

.927

8556

2004

κO

riS

aiph

2.06

0.66

865

-33.

1303

135

3.73

566

-33.

9438

70.

8345

0-3

1.94

088

356.

6501

8-3

3.91

759

1.21

831

-29.

1990

83.

4961

5-3

3.85

515

5752

88θ

Cen

Men

kent

2.06

8.50

010

-1.5

3249

130.

4933

9-2

0.41

748

8.67

249

-2.3

2577

133.

3746

1-2

0.46

402

9.07

450

-4.3

4618

140.

1439

7-2

0.57

509

5855

63β

UM

iK

ocha

b2.

0821

.195

5071

.470

8339

.378

0172

.229

8821

.205

8072

.371

8542

.305

2972

.258

7721

.192

8874

.486

8649

.188

9572

.325

6459

6556

αO

phR

asal

hagu

e2.

0812

.547

8037

.615

2716

9.42

228

37.1

0343

12.7

1371

36.4

0364

172.

3492

437

.065

1813

.096

1333

.603

3517

9.22

421

36.9

7452

6086

36β

Gru

2.10

14.1

3404

-50.

6862

022

9.22

677

-34.

6509

614

.366

15-5

1.69

938

232.

1455

3-3

4.68

161

14.9

4040

-53.

8957

723

9.00

413

-34.

7522

861

936

βP

erA

lgol

2.12

21.2

7094

6.60

200

323.

9178

021

.789

2721

.440

477.

5356

632

6.81

145

21.8

0443

21.8

3722

9.85

339

333.

6103

621

.841

6362

4534

βLe

oD

eneb

ola

2.14

5.16

470

36.2

1888

79.6

7152

12.5

3021

5.39

724

36.4

2606

82.5

5760

12.5

2938

5.94

635

36.6

2601

89.3

3838

12.5

2555

6348

19γ

Cen

Muh

lifai

n2.

177.

6319

0-1

8.20

351

120.

7695

4-3

9.69

981

7.78

299

-18.

7304

912

3.64

054

-39.

7076

08.

1370

8-2

0.13

254

130.

3862

5-3

9.72

782

6477

96γ

Cyg

Sad

r2.

2016

.440

4236

.655

9623

3.31

722

57.7

7819

16.5

6122

36.1

9193

236.

1978

157

.751

5016

.846

1835

.244

6224

2.96

311

57.6

9018

6536

34λ

Vel

Suh

ail

2.21

5.12

424

-33.

1114

969

.922

00-5

6.32

298

5.24

878

-32.

8551

172

.791

10-5

6.30

155

5.54

218

-32.

4065

879

.530

28-5

6.25

298

6616

8α

Cas

Sch

edar

2.23

19.7

8896

25.5

4414

306.

1154

846

.290

1219

.930

3726

.109

2930

8.98

872

46.2

9403

20.2

6218

27.5

8771

315.

7400

646

.305

1167

1852

δO

riM

inta

ka2.

230.

0712

9-2

5.77

882

349.

7631

2-2

3.81

039

0.24

564

-24.

5670

535

2.67

480

-23.

7852

30.

6497

0-2

1.74

282

359.

5146

2-2

3.72

530

6857

93α

CrB

Alp

hecc

a2.

2310

.265

2260

.474

2612

8.67

496

44.8

7215

10.4

9921

59.3

6207

131.

6194

944

.861

6611

.011

4256

.652

1613

8.53

632

44.8

3501

6967

05γ

Dra

Elta

nin

2.23

15.8

0417

63.3

8521

174.

6772

975

.839

5815

.845

9262

.730

9517

7.63

934

75.8

1179

15.9

5504

61.2

4312

184.

5893

975

.745

8270

3165

ζP

upN

aos

2.25

4.21

504

-38.

9627

647

.042

05-5

9.06

927

4.33

258

-38.

4334

049

.923

72-5

9.04

105

4.61

000

-37.

3255

956

.691

17-5

8.97

596

7136

99ι

Car

Asp

idis

ke2.

256.

1778

1-4

3.08

429

95.0

2844

-67.

1860

46.

2780

7-4

3.15

682

97.8

6191

-67.

1763

46.

5136

4-4

3.45

144

104.

5185

2-6

7.15

554

7260

3γ

1A

ndA

lmaa

k2.

2620

.467

258.

6720

731

2.09

667

27.4

2252

20.6

3317

9.41

978

314.

9863

227

.428

4521

.021

3211

.330

3932

1.77

585

27.4

4423

7321

βC

asC

aph

2.27

19.5

5589

30.0

2311

303.

3743

351

.425

9519

.689

6030

.506

4930

6.24

899

51.4

1227

20.0

0360

31.7

9071

313.

0038

751

.382

1474

5054

ζU

Ma

Miz

ar2.

272.

6627

176

.778

5171

.764

9855

.916

353.

0829

577

.668

4074

.709

3255

.938

844.

2636

079

.312

0581

.628

5855

.989

7475

6241

εS

co2.

2910

.738

48-2

.939

0416

3.79

552

-10.

3282

010

.910

71-4

.101

3616

6.66

795

-10.

3704

211

.314

87-6

.883

2617

3.41

673

-10.

4704

876

5132

εC

en2.

308.

3237

7-2

0.16

592

133.

6784

2-3

9.02

850

8.47

515

-20.

8798

913

6.55

864

-39.

0401

58.

8302

7-2

2.70

284

143.

3263

2-3

9.06

931

7754

69α

Lup

2.30

8.95

625

-13.

0083

014

1.39

608

-29.

3714

89.

1185

9-1

3.87

547

144.

2844

1-2

9.38

692

9.49

915

-16.

0450

815

1.07

102

-29.

4247

878

5440

ηC

en2.

318.

8647

9-7

.800

2113

8.09

971

-24.

8611

29.

0322

5-8

.648

4014

0.99

009

-24.

8761

29.

4239

8-1

0.78

093

147.

7813

2-2

4.91

304

7959

53δ

Sco

Dsc

hubb

a2.

3210

.123

6010

.619

5015

0.09

431

-1.2

3356

10.3

0594

9.53

553

152.

9974

8-1

.252

9510

.729

696.

9003

215

9.81

821

-1.2

9993

8042

95β

UM

aM

erak

2.37

1.37

790

58.1

2671

46.3

2761

44.3

1825

1.60

432

59.2

5162

49.2

4459

44.3

4962

2.17

691

61.7

6258

56.0

9960

44.4

2210

8199

αP

heA

nkaa

2.39

16.0

4045

-61.

7720

425

2.50

536

-39.

4470

516

.350

55-6

2.34

746

255.

4215

6-3

9.49

268

17.1

1035

-63.

3332

126

2.27

399

-39.

5978

582

8308

εP

egE

nif

2.39

16.1

4477

1.51

706

239.

6135

522

.695

6816

.319

220.

9744

724

2.51

196

22.6

7016

16.7

3164

-0.0

9884

249.

3209

422

.611

7883

6580

κS

co2.

4111

.233

51-1

0.99

372

174.

0344

9-1

4.71

798

11.4

0644

-12.

1887

117

6.93

435

-14.

7459

511

.815

17-1

5.02

088

183.

7477

9-1

4.81

233

8487

75β

Peg

Sch

eat

2.42

17.8

2466

7.11

960

266.

9471

731

.240

5617

.991

357.

0929

026

9.84

938

31.2

2934

18.3

8302

7.23

911

276.

6674

931

.205

0585

6378

ηO

phS

abik

2.43

11.3

1955

13.1

1643

165.

3638

87.

8433

211

.498

5111

.922

7916

8.27

225

7.82

541

11.9

1536

9.09

839

175.

1049

27.

7823

486

4554

γU

Ma

Pha

d2.

442.

1173

863

.924

8057

.140

7046

.464

572.

3874

064

.936

2460

.065

6346

.492

673.

0810

067

.091

4966

.939

1946

.557

1187

8162

αC

epA

lder

amin

2.44

18.4

1224

45.0

5577

282.

2226

768

.935

6818

.507

9845

.200

1528

5.06

173

68.9

2743

18.7

3260

45.6

5743

291.

7320

868

.910

0688

2827

ηC

Ma

Alu

dra

2.45

3.09

667

-36.

6279

427

.403

65-5

1.47

771

3.22

893

-35.

8074

930

.304

81-5

1.44

692

3.53

987

-34.

0080

537

.118

30-5

1.37

517

8979

49ε

Cyg

Gie

nah

Cyg

ni2.

4616

.326

7328

.669

6923

4.85

806

49.7

1512

16.4

6463

28.1

7917

237.

7801

649

.699

4316

.789

5027

.190

3124

4.64

347

49.6

6405

9026

4γ

Cas

Tsi

h2.

4720

.043

2328

.716

3331

2.26

704

48.3

4017

20.1

8101

29.3

5288

315.

1391

548

.349

1020

.504

4930

.989

0232

1.88

805

48.3

7187

9187

81α

Peg

Mar

kab

2.49

17.4

4776

-4.0

9159

261.

2145

819

.798

5617

.629

66-4

.241

5526

4.11

173

19.7

7830

18.0

5778

-4.3

6683

270.

9181

019

.732

7092

3734

κV

elM

arka

b2.

505.

9327

7-3

9.76

356

88.2

3725

-63.

9068

46.

0413

6-3

9.75

931

91.0

8382

-63.

8934

26.

2967

9-3

9.88

474

97.7

7080

-63.

8638

6

CA

T.2

4713

a.C

.45

00 a

.C.

4000

a.C

.#

BS

CId

Co

stN

om

eM

agA

R (

h)

Dec

(º)

Lo

n (

º)L

at (

º)A

R (

h)

Dec

(º)

Lo

n (

º)L

at (

º)A

R (

h)

Dec

(º)

Lo

n (

º)L

at (

º)93

911

αC

etM

enka

r2.

5321

.237

77-3

0.14

044

311.

7032

0-1

2.94

668

21.4

4322

-29.

2144

131

4.61

202

-12.

9415

821

.914

38-2

6.89

026

321.

4457

8-1

2.92

771

9452

31ζ

Cen

Aln

air

2.55

8.42

234

-13.

5953

813

2.96

698

-32.

3323

88.

5821

8-1

4.33

725

135.

8515

3-3

2.34

570

8.95

658

-16.

2301

014

2.62

919

-32.

3787

795

4357

δLe

oZ

osm

a2.

564.

2404

836

.120

6368

.280

4713

.996

554.

4714

136

.624

8971

.200

4014

.014

715.

0227

037

.536

1278

.060

8314

.055

5496

6175

ζO

phF

ieht

2.56

10.8

8980

20.5

0184

156.

6058

812

.108

7311

.073

5319

.333

0615

9.51

533

12.0

8965

11.4

9865

16.5

4161

166.

3504

212

.043

6097

1865

αLe

pA

rneb

2.58

0.71

963

-42.

0464

334

8.59

924

-41.

9142

40.

8806

9-4

0.85

992

351.

5192

3-4

1.88

919

1.25

116

-38.

1256

135

8.37

763

-41.

8294

998

4662

γC

rvG

iena

h2.

596.

5719

49.

4578

198

.739

23-1

4.42

451

6.76

039

9.24

536

101.

6268

1-1

4.41

910

7.20

117

8.51

914

108.

4109

1-1

4.40

847

9946

21δ

Cen

2.60

7.31

249

-21.

8659

511

5.86

232

-44.

2134

87.

4576

8-2

2.29

718

118.

7355

9-4

4.21

564

7.79

813

-23.

4752

612

5.48

659

-44.

2227

310

071

94ζ

Sgr

Asc

ella

2.60

12.5

0914

-10.

2735

119

1.15

392

-6.2

7145

12.6

8743

-11.

4712

619

4.05

645

-6.3

0127

13.1

1093

-14.

2361

320

0.87

591

-6.3

7137

101

4057

γ1

Leo

Alg

ieba

2.61

3.44

677

27.9

3031

56.4

0546

8.26

360

3.65

900

28.6

5837

59.3

3096

8.28

774

4.16

720

30.1

4207

66.2

0438

8.34

291

102

5685

βLi

bZ

uben

elsh

amal

i2.

619.

5099

224

.886

1213

6.91

902

9.13

843

9.70

691

23.9

0250

139.

8224

59.

1238

710

.160

2921

.462

9914

6.64

358

9.08

792

103

2095

θA

urB

ogar

dus

2.62

23.4

8319

10.8

2324

357.

4073

313

.035

1923

.657

5512

.025

020.

3105

613

.057

690.

0701

214

.859

057.

1319

013

.111

0810

459

84β

1S

coG

raffi

as2.

6210

.234

6113

.196

4515

0.67

525

1.75

933

10.4

1819

12.0

9706

153.

5799

61.

7398

710

.844

279.

4312

616

0.40

422

1.69

276

105

553

βA

riS

hera

tan

2.64

20.1

2933

-12.

2368

530

1.50

701

8.38

880

20.3

1979

-11.

5769

430

4.40

916

8.38

481

20.7

6224

-9.8

3803

311.

2276

48.

3774

510

619

56α

Col

Pha

ct2.

641.

7614

2-5

4.67

379

349.

1751

7-5

8.18

262

1.88

609

-53.

5975

035

2.10

769

-58.

1590

72.

1752

0-5

1.14

799

358.

9940

2-5

8.10

289

107

4786

βC

rvK

raz

2.65

6.96

215

5.51

894

105.

1077

3-1

7.85

541

7.14

544

5.18

553

108.

0036

0-1

7.85

357

7.57

369

4.18

724

114.

8072

2-1

7.85

137

108

5854

αS

erU

nuka

lhai

2.65

10.1

3952

39.8

4174

138.

9905

725

.949

0910

.345

5538

.756

4414

1.91

595

25.9

4092

10.8

1348

36.1

0994

148.

7881

925

.919

9610

940

3δ

Cas

Ruk

bah

2.68

20.2

7566

27.3

8470

315.

9230

846

.087

1520

.417

4328

.078

8931

8.80

587

46.0

9126

20.7

5053

29.8

4857

325.

5799

646

.102

6811

052

35η

Boo

Mup

hrid

2.68

7.54

262

51.6

7874

106.

1535

328

.855

867.

8104

151

.141

8010

9.08

057

28.8

3922

8.41

879

49.5

9544

115.

9571

828

.797

9711

155

71β

Lup

2.68

9.15

164

-8.6

7400

142.

8452

2-2

4.33

183

9.31

886

-9.5

8513

145.

7364

4-2

4.34

928

9.71

038

-11.

8534

515

2.52

969

-24.

3918

611

215

77ι

Aur

Has

sale

h2.

6922

.780

452.

4846

634

4.20

076

9.66

297

22.9

5514

3.64

369

347.

1015

29.

6853

923

.365

096.

4168

835

3.91

688

9.73

905

113

4216

µV

el2.

696.

4196

4-2

7.12

582

98.9

3465

-51.

0748

36.

5546

3-2

7.28

093

101.

8085

5-5

1.06

741

6.87

165

-27.

8112

010

8.56

041

-51.

0520

511

447

98α

Mus

2.69

8.13

578

-37.

2533

613

8.92

312

-55.

9362

18.

2594

3-3

7.91

456

141.

7859

7-5

5.95

047

8.54

977

-39.

5920

914

8.51

374

-55.

9855

811

565

08υ

Sco

Lesa

th2.

6911

.131

67-8

.518

3317

1.57

089

-13.

0823

211

.304

91-9

.707

6917

4.47

121

-13.

1100

411

.713

53-1

2.53

231

181.

2856

8-1

3.17

588

116

2773

πP

up2.

703.

4627

5-4

3.34

801

28.3

2518

-59.

3847

53.

5786

0-4

2.61

498

31.2

2433

-59.

3541

83.

8518

3-4

1.01

328

38.0

3221

-59.

2829

611

755

06ε

Boo

Izar

2.70

8.78

320

61.3

5619

114.

9713

040

.880

879.

0636

960

.516

9211

7.89

803

40.8

8037

9.68

022

58.3

2196

124.

7736

640

.877

0511

868

59δ

Sgr

Nun

ki2.

7011

.972

68-5

.864

3718

2.03

297

-5.5

1706

12.1

4881

-7.0

7936

184.

9376

5-5

.547

1012

.565

11-9

.916

1619

1.76

211

-5.6

1805

119

7525

γA

qlT

araz

ed2.

7214

.552

9818

.613

0820

8.58

734

32.1

0788

14.7

1210

17.6

7634

211.

4910

232

.077

0915

.086

7415

.611

3421

8.31

166

32.0

0540

120

6056

δO

phY

ed P

rior

2.74

10.6

1862

28.7

9769

149.

6458

018

.222

5110

.808

5527

.645

3015

2.55

708

18.1

9594

11.2

4488

24.8

7538

159.

3962

918

.132

0812

161

32η

Dra

2.74

17.5

1195

77.2

2723

98.0

6136

78.4

1093

17.3

3873

77.0

4486

101.

0925

078

.420

7416

.968

8576

.416

8210

8.21

536

78.4

4142

122

5028

ιC

enK

e K

wan

2.75

7.88

274

-4.2

8145

121.

4647

4-2

5.31

135

8.05

204

-4.8

8744

124.

3407

5-2

5.32

690

8.44

752

-6.4

8641

131.

0979

9-2

5.36

533

123

5531

α2

Lib

Zub

enel

genu

bi2.

759.

0430

318

.465

1013

2.71

268

1.01

517

9.23

644

17.5

7266

135.

6127

50.

9997

69.

6835

215

.325

4914

2.42

614

0.96

172

124

4199

θC

ar2.

767.

1239

8-3

9.38

941

118.

3583

7-6

1.84

176

7.23

615

-39.

7581

712

1.20

357

-61.

8442

87.

4990

8-4

0.75

488

127.

8892

4-6

1.85

213

125

1899

ιO

riN

air

al S

aif

2.77

0.32

298

-31.

1035

735

0.33

101

-30.

0635

70.

4938

2-2

9.89

756

353.

2448

4-3

0.03

806

0.88

880

-27.

0999

20.

0894

3-2

9.97

733

126

6148

βH

erK

orne

phor

os2.

7711

.586

5951

.615

9714

8.25

646

43.4

5795

11.7

7035

50.4

0851

151.

1774

943

.438

6912

.183

9147

.567

3515

8.03

861

43.3

9194

127

6603

βO

phC

elba

lrai

2.77

12.4

1369

28.7

3485

172.

7948

828

.519

5012

.584

1227

.541

7617

5.70

446

28.5

0261

12.9

7903

24.7

7937

182.

5391

228

.462

2212

857

76γ

Lup

2.78

9.61

283

-7.0

8148

149.

2214

2-2

0.48

897

9.78

260

-8.0

8226

152.

1159

4-2

0.50

841

10.1

8031

-10.

5420

515

8.91

690

-20.

5554

912

916

66β

Eri

Cur

sa2.

7923

.809

62-3

2.85

202

342.

7749

1-2

8.54

646

23.9

8663

-31.

6460

334

5.68

302

-28.

5275

90.

3940

3-2

8.82

082

352.

5143

2-2

8.48

222

130

6536

βD

raA

lwai

d2.

7915

.637

3167

.346

8515

7.78

002

76.0

3983

15.6

5784

66.6

4698

160.

7693

476

.019

3715

.723

6365

.030

7816

7.78

435

75.9

6999

131

98β

Hyi

2.80

10.3

4969

-63.

5162

820

5.80

360

-63.

2681

410

.457

74-6

4.66

119

208.

7743

4-6

3.32

059

10.7

1576

-67.

3981

721

5.75

842

-63.

4429

813

246

56δ

Cru

2.80

7.62

206

-28.

7780

312

4.17

914

-49.

9983

07.

7573

4-2

9.29

829

127.

0464

1-5

0.00

495

8.07

475

-30.

6683

813

3.78

371

-50.

0224

913

331

85ρ

Pup

2.81

3.44

880

-26.

6088

339

.550

19-4

4.09

787

3.59

256

-25.

8761

442

.438

96-4

4.06

701

3.93

116

-24.

3038

449

.224

16-4

3.99

550

134

6212

ζH

er2.

8112

.383

4558

.785

1314

9.60

200

53.2

8596

12.5

4258

57.6

1028

152.

4963

653

.284

0812

.900

4554

.885

3915

9.29

387

53.2

7842

135

6913

λS

grK

aus

Bor

ealis

2.81

12.2

1311

-2.4

1354

183.

9034

5-0

.895

7012

.388

92-3

.631

1218

6.80

456

-0.9

3490

12.8

0397

-6.4

6041

193.

6204

7-1

.027

3013

661

65τ

Sco

Al N

iyat

2.82

10.5

7709

3.54

520

159.

0043

7-5

.289

9110

.754

402.

4043

816

1.90

622

-5.3

1290

11.1

6872

-0.3

3786

168.

7239

8-5

.368

0613

739

γP

egA

lgen

ib2.

8318

.455

04-1

1.32

946

276.

8592

812

.653

1618

.646

86-1

1.15

580

279.

7566

312

.643

4919

.095

72-1

0.51

426

286.

5637

012

.622

9013

849

32ε

Vir

Vin

dem

iatr

ix2.

836.

6430

740

.240

8697

.660

3316

.354

716.

8844

539

.995

7610

0.55

756

16.3

5785

7.44

431

39.1

3374

107.

3643

816

.363

13

CA

T.3

4713

a.C

.45

00 a

.C.

4000

a.C

.#

BS

CId

Co

stN

om

eM

agA

R (

h)

Dec

(º)

Lo

n (

º)L

at (

º)A

R (

h)

Dec

(º)

Lo

n (

º)L

at (

º)A

R (

h)

Dec

(º)

Lo

n (

º)L

at (

º)13

918

29β

Lep

Nih

al2.

840.

7588

7-4

4.97

574

346.

8695

1-4

4.59

323

0.91

778

-43.

7966

334

9.79

077

-44.

5740

61.

2825

4-4

1.08

082

356.

6520

3-4

4.52

807

140

1203

ζP

erM

enkh

ib2.

8521

.936

59-1

.614

5733

0.72

236

10.6

3898

22.1

1330

-0.5

6075

333.

6219

910

.656

6422

.525

862.

0112

234

0.43

469

10.6

9954

141

5897

βT

rA2.

859.

6422

1-2

8.88

169

159.

6489

6-4

0.39

695

9.79

182

-29.

9067

116

2.53

735

-40.

4428

310

.145

47-3

2.41

008

169.

3247

2-4

0.55

170

142

6461

βA

ra2.

8510

.605

86-2

5.17

107

171.

8708

0-3

1.34

980

10.7

6858

-26.

3143

117

4.76

480

-31.

3771

911

.155

25-2

9.05

687

181.

5651

8-3

1.44

225

143

591

αH

yiH

ead

of H

ydru

s2.

8612

.184

88-8

0.24

323

247.

6005

6-6

3.62

783

12.3

9804

-81.

4597

925

0.55

984

-63.

6550

613

.104

94-8

4.26

805

257.

5152

5-6

3.71

715

144

8502

αT

uc2.

8612

.682

82-5

4.61

358

216.

8765

2-4

4.57

054

12.8

8204

-55.

8002

321

9.78

288

-44.

6014

013

.380

36-5

8.51

863

226.

6130

8-4

4.67

298

145

1165

ηT

auA

lcyo

ne2.

8721

.906

95-9

.455

4432

7.51

459

3.45

888

22.0

8932

-8.4

0787

330.

4174

93.

4729

022

.513

27-5

.846

4333

7.23

767

3.50

734

146

7528

δC

yg2.

8716

.329

8144

.964

8722

4.62

957

65.1

0229

16.4

3308

44.4

6634

227.

5178

565

.075

2916

.677

5243

.416

5323

4.29

988

65.0

1301

147

8322

δC

apD

eneb

Alg

iedi

2.87

15.1

8723

-19.

6777

123

0.76

212

-1.2

5150

15.3

8570

-20.

4915

023

3.67

445

-1.3

0023

15.8

5989

-22.

2030

824

0.51

678

-1.4

1332

148

2286

µG

emT

ejat

Pos

terio

r2.

880.

2052

3-0

.283

692.

6935

0-1

.517

870.

3815

60.

9209

75.

6011

1-1

.495

940.

7971

43.

7201

512

.432

17-1

.444

0614

912

20ε

Per

2.89

21.9

0573

6.56

174

333.

3366

518

.428

3022

.076

677.

6093

733

6.23

333

18.4

4602

22.4

7744

10.1

6574

343.

0393

218

.488

9715

056

71γ

TrA

2.89

9.29

050

-34.

3061

715

7.44

313

-47.

2570

69.

4305

1-3

5.24

258

160.

3221

9-4

7.28

040

9.76

141

-37.

5458

216

7.08

809

-47.

3363

815

159

44π

Sco

2.89

10.0

6424

7.23

115

150.

4932

9-4

.711

4610

.244

516.

1556

515

3.39

508

-4.7

3129

10.6

6423

3.53

799

160.

2126

7-4

.779

2915

260

84σ

Sco

Al N

iyat

2.89

10.4

0248

6.82

909

155.

3368

5-3

.237

8810

.581

765.

7083

515

8.23

929

-3.2

5943

10.9

9966

3.00

310

165.

0583

9-3

.311

3215

372

64π

Sgr

Alb

alda

h2.

8912

.903

71-3

.377

2219

3.75

762

2.40

560

13.0

8100

-4.5

5119

196.

6616

52.

3734

913

.500

85-7

.238

5120

3.48

433

2.29

811

154

2845

βC

Mi

Gom

eisa

2.90

1.58

203

-5.2

1331

19.8

1677

-14.

2926

51.

7550

6-4

.117

8422

.718

62-1

4.26

489

2.16

366

-1.6

4804

29.5

3573

-14.

1999

715

549

15α

2C

Vn

Cor

Car

oli

2.90

5.04

668

63.6

7519

81.7

8615

39.9

4439

5.38

186

63.9

1900

84.6

9754

39.9

5784

6.17

976

64.0

7504

91.5

3824

39.9

8746

156

8232

βA

qrS

adal

suud

2.91

15.3

9484

-9.5

4804

230.

9542

19.

3138

215

.582

01-1

0.29

038

233.

8570

29.

2857

616

.026

78-1

1.83

928

240.

6766

69.

2211

915

791

5γ

Per

2.93

21.2

0990

19.1

4128

327.

9249

633

.853

8221

.367

0620

.060

9333

0.81

190

33.8

7063

21.7

3660

22.3

3997

337.

5955

133

.911

5815

825

53τ

Pup

2.93

4.21

732

-55.

5978

625

.792

37-7

3.59

972

4.28

893

-55.

0635

828

.703

69-7

3.57

340

4.46

175

-53.

8930

035

.536

22-7

3.51

199

159

8650

ηP

egM

atar

2.94

17.6

5810

11.3

6175

263.

8281

235

.398

4417

.817

8711

.276

9926

6.71

337

35.3

8146

18.1

9357

11.2

7734

273.

4915

935

.343

5816

012

31γ

Eri

Zau

rak

2.95

22.5

7144

-46.

0482

532

0.85

430

-33.

5853

522

.775

81-4

4.91

340

323.

7785

2-3

3.57

881

23.2

3677

-42.

1782

433

0.64

779

-33.

5617

216

147

57δ

Crv

Alg

orab

2.95

6.75

921

11.9

2026

101.

3817

4-1

1.76

773

6.95

100

11.6

3925

104.

2720

1-1

1.77

354

7.39

886

10.7

5127

111.

0624

1-1

1.78

927

162

6510

αA

raC

hoo

2.95

10.8

3085

-20.

2443

417

2.58

657

-25.

5567

010

.997

95-2

1.41

197

175.

4819

9-2

5.58

700

11.3

9436

-24.

2010

618

2.28

545

-25.

6588

716

384

14α

Aqr

Sad

alm

elik

2.96

16.0

9649

-9.4

1615

241.

1981

111

.843

2816

.284

75-9

.970

5624

4.09

920

11.8

1799

16.7

3092

-11.

0563

025

0.91

477

11.7

6022

164

2473

εG

emM

ebsu

ta2.

980.

4209

54.

1231

47.

4429

71.

1877

50.

5977

65.

3244

410

.346

581.

2162

61.

0159

88.

1032

217

.168

401.

2833

816

538

73ε

Leo

Ras

Ela

sed

Aus

tr.

2.98

2.84

454

26.4

0809

48.1

7280

9.06

119

3.04

887

27.2

7558

51.0

7673

9.08

756

3.53

931

29.1

2155

57.8

9954

9.14

825

166

1605

εA

urM

aaz

2.99

22.6

3396

12.9

3654

346.

4680

020

.112

1122

.803

4914

.081

6134

9.36

518

20.1

3614

23.2

0349

16.8

2879

356.

1725

120

.193

4816

767

46γ

2S

grN

ash

2.99

11.7

7367

-4.7

8253

178.

8633

2-5

.751

8611

.948

84-6

.003

5118

1.76

325

-5.7

9054

12.3

6225

-8.8

6594

188.

5765

7-5

.881

8616

872

35ζ

Aql

Den

eb e

l Oka

b2.

9914

.099

8527

.054

6819

7.43

551

37.2

5719

14.2

5373

26.0

2898

200.

3408

437

.221

3414

.614

3623

.732

2320

7.16

502

37.1

3733

169

622

βT

ri3.

0020

.469

311.

2467

730

9.93

799

20.2

6390

20.6

4391

1.99

623

312.

8375

020

.267

4321

.051

343.

9186

931

9.64

998

20.2

7762

170

1910

ζT

au3.

0023

.611

63-5

.919

7235

2.27

003

-3.0

2688

23.7

8818

-4.7

1172

355.

1748

8-3

.002

120.

2017

8-1

.870

511.

9994

3-2

.943

2217

146

30ε

Crv

Min

kar

3.00

6.60

499

4.20

511

99.6

1400

-19.

6335

46.

7863

43.

9847

410

2.50

341

-19.

6269

57.

2108

33.

2483

410

9.29

182

-19.

6135

717

250

20γ

Hya

3.00

7.61

049

8.59

208

114.

5873

6-1

3.46

077

7.79

736

8.06

694

117.

4884

8-1

3.46

218

8.23

263

6.63

057

124.

3045

0-1

3.46

759

173

1122

δP

er3.

0121

.653

7813

.920

7333

2.55

082

26.6

4045

21.8

1817

14.9

2490

335.

4435

226

.657

2922

.204

6017

.387

8934

2.24

047

26.6

9820

CA

T.4

#B

SC

IdC

ost

No

me

Mag

124

91α

CM

aS

irius

-1.4

62

2326

αC

arC

anop

us-0

.72

353

40α

Boo

Arc

turu

s-0

.04

454

59α

1C

enR

igel

Ken

taur

us-0

.01

570

01α

Lyr

Veg

a0.

036

1708

αA

urC

apel

la0.

087

1713

βO

riR

igel

0.12

829

43α

CM

iP

rocy

on0.

389

472

αE

riA

cher

nar

0.46

1020

61α

Ori

Bet

elge

use

0.50

1152

67β

Cen

Had

ar0.

6112

7557

αA

qlA

ltair

0.77

1314

57α

Tau

Ald

ebar

an0.

8514

6134

αS

coA

ntar

es0.

9615

5056

αV

irS

pica

0.98

1629

90β

Gem

Pol

lux

1.14

1787

28α

PsA

Fom

alha

ut1.

1618

4853

βC

ruM

imos

a1.

2519

7924

αC

ygD

eneb

1.25

2047

30α

1C

ruA

crux

1.33

2154

60α

2C

enP

roxi

ma

1.33

2239

82α

Leo

Reg

ulus

1.35

2326

18ε

CM

aA

dhar

a1.

5024

4763

γC

ruG

acru

x1.

6325

6527

λS

coS

haul

a1.

6326

1790

γO

riB

ella

trix

1.64

2717

91β

Tau

Eln

ath

1.65

2836

85β

Car

Mia

plac

idus

1.68

2919

03ε

Ori

Aln

ilam

1.70

3084

25α

Gru

Aln

air

1.74

3149

05ε

UM

aA

lioth

1.77

3232

07γ

2V

elR

egor

1.78

3310

17α

Per

Mirf

ak1.

7934

4301

αU

Ma

Dub

he1.

7935

2693

δC

Ma

Wez

en1.

8436

6879

εS

grK

aus

Aus

tral

is1.

8537

3307

εC

arA

vior

1.86

3851

91η

UM

aA

lkai

d1.

8639

6553

θS

coS

arga

s1.

8740

2088

βA

urM

enka

linan

1.90

4162

17α

TrA

Atr

ia1.

9242

2421

γG

emA

lhen

a1.

9343

7790

αP

avP

eaco

ck1.

9444

3485

δV

el1.

9645

2294

βC

Ma

Mirz

am1.

9846

2891

αG

emC

asto

r1.

98

3500

a.C

.30

00 a

.C.

2500

a.C

.A

R (

h)

Dec

(º)

Lo

n (

º)L

at (

º)A

R (

h)

Dec

(º)

Lo

n (

º)L

at (

º)A

R (

h)

Dec

(º)

Lo

n (

º)L

at (

º)2.

7473

0-2

4.40

704

28.9

7223

-38.

4572

93.

1064

9-2

2.53

901

35.7

5143

-38.

5560

53.

4660

5-2

0.86

843

42.5

3868

-38.

6556

34.

5331

5-5

7.34

401

29.3

1503

-76.

5939

94.

6776

9-5

6.32

689

36.1

8654

-76.

5206

74.

8295

7-5

5.41

464

43.0

5631

-76.

4476

79.

6381

451

.258

8112

8.14

560

34.3

5205

10.1

5536

48.5

6941

135.

0081

534

.037

9510

.638

8145

.715

3314

1.87

999

33.7

2069

10.0

0557

-32.

8769

916

7.52

003

-41.

7937

110

.345

30-3

5.30

891

174.

0180

5-4

1.86

475

10.6

9120

-37.

8366

118

0.52

333

-41.

9365

315

.608

7145

.593

5920

8.91

377

62.0

6999

15.8

7162

44.0

2944

215.

8233

662

.035

8216

.136

8042

.636

1122

2.73

813

62.0

0199

23.7

0657

23.1

5181

5.97

092

22.8

1593

0.12

186

25.9

3453

12.8

0123

22.8

1714

0.54

859

28.7

0309

19.6

4350

22.8

1935

0.98

729

-28.

4863

20.

7184

6-3

1.80

993

1.37

292

-25.

7837

07.

5840

2-3

1.75

129

1.75

470

-23.

1848

714

.458

59-3

1.69

150

2.86

140

1.17

663

40.7

1384

-15.

0028

03.

2800

12.

9758

247

.480

74-1

5.08

886

3.70

399

4.53

648

54.2

5746

-15.

1759

317

.490

07-8

3.00

390

268.

1967

3-5

8.98

927

19.4

1107

-82.

6719

727

5.13

605

-59.

0389

720

.950

47-8

1.13

138

282.

0885

4-5

9.08

589

1.22

538

-10.

2194

312

.731

85-1

6.77

036

1.62

987

-7.5

7567

19.5

8494

-16.

7036

12.

0364

2-5

.060

1426

.447

87-1

6.63

633

9.47

037

-31.

3560

115

8.35

214

-43.

5698

99.

8155

3-3

3.67

273

165.

1375

8-4

3.61

289

10.1

6519

-36.

1253

817

1.93

566

-43.

6579

015

.406

8511

.553

6122

4.97

049

29.5

9008

15.7

9876

9.89

944

231.

8953

429

.556

0216

.194

078.

4959

923

8.82

982

29.5

2323

23.7

7833

-7.8

4990

353.

7588

2-5

.812

880.

1945

6-5

.036

760.

6095

9-5

.787

340.

6103

4-2

.243

317.

4708

5-5

.760

2711

.520

37-1

.049

8817

3.85

134

-3.8

8691

11.9

3477

-3.8

8202

180.

6890

9-3

.943

5812

.351

31-6

.715

3518

7.53

773

-4.0

0170

8.66

769

17.0

2405

127.

9605

6-1

.792

159.

1219

615

.069

3013

4.79

634

-1.8

0268

9.56

773

12.8

8921

141.

6428

7-1

.816

052.

2259

820

.393

4638

.074

866.

1912

32.

6811

522

.621

6844

.841

786.

2412

43.

1495

124

.627

7351

.619

796.

2905

016

.902

42-4

3.62

536

257.

3653

0-2

0.29

918

17.4

9804

-44.

2558

426

4.25

371

-20.

3885

018

.100

93-4

4.44

335

271.

1536

6-2

0.47

532

8.72

856

-32.

0168

114

6.42

113

-48.

1850

39.

0541

2-3

3.96

831

153.

1873

9-4

8.21

589

9.38

173

-36.

0856

015

9.96

612

-48.

2490

617

.609

5536

.436

1626

0.46

210

60.3

0127

17.8

8581

36.2

4885

267.

2153

660

.252

8218

.163

3136

.267

0927

3.97

689

60.2

0678

8.60

302

-35.

9744

014

6.73

879

-52.

4343

28.

9113

2-3

7.85

154

153.

4950

6-5

2.46

416

9.22

139

-39.

8917

316

0.26

406

-52.

4963

710

.006

58-3

2.88

266

167.

5385

8-4

1.79

270

10.3

4618

-35.

3141

517

4.03

407

-41.

8639

710

.691

96-3

7.84

133

180.

5369

7-4

1.93

595

4.85

315

23.2

3393

74.2

3047

0.13

059

5.34

624

23.8

8225

81.0

4042

0.17

293

5.84

371

24.1

6947

87.8

6118

0.21

303

3.46

525

-35.

2137

735

.014

81-5

2.08

789

3.77

523

-33.

5573

941

.855

59-5

2.01

707

4.08

684

-32.

0958

548

.703

46-5

1.94

686

8.50

259

-29.

6799

214

1.10

019

-47.

1407

38.

8329

1-3

1.54

470

147.

9084

8-4

7.19

388

9.16

438

-33.

5876

615

4.72

829

-47.

2491

612

.167

92-1

5.41

180

188.

6808

4-1

3.02

543

12.5

8857

-18.

2385

319

5.51

558

-13.

0929

313

.018

54-2

1.01

271

202.

3617

1-1

3.16

118

0.78

379

-13.

9489

24.

9488

2-1

7.50

206

1.18

809

-11.

2081

411

.799

79-1

7.44

246

1.59

235

-8.5

6293

18.6

6059

-17.

3819

40.

2696

27.

2144

36.

6338

44.

9415

40.

6890

510

.007

2213

.473

874.

9794

91.

1146

912

.739

6120

.324

905.

0182

97.

4740

3-5

1.62

797

138.

6741

7-7

1.87

232

7.66

380

-52.

7571

114

5.25

569

-71.

8948

37.

8502

1-5

4.00

997

151.

8511

5-7

1.91

962

1.15

769

-19.

9592

37.

4287

5-2

5.21

874

1.55

068

-17.

2987

814

.285

35-2

5.15

614

1.94

276

-14.

7569

721

.151

34-2

5.09

273

15.1

0004

-51.

5237

823

9.64

541

-32.

0595

515

.705

79-5

3.33

215

246.

5086

4-3

2.14

734

16.3

4786

-54.

7564

125

3.38

421

-32.

2333

44.

5306

777

.326

2481

.968

8853

.893

395.

7919

877

.954

4388

.894

0553

.945

777.

0798

277

.634

4695

.832

3453

.995

535.

3519

3-4

1.48

482

72.6

1868

-64.

9483

45.

6023

6-4

1.09

707

79.3

6490

-64.

8928

05.

8545

2-4

0.89

523

86.1

1823

-64.

8394

222

.354

9621

.533

3634

6.37

200

29.5

7030

22.7

4068

24.1

6475

353.

1852

929

.613

7023

.132

1026

.885

560.

0106

229

.658

852.

0455

666

.793

6458

.745

9649

.220

222.

7351

269

.083

9465

.620

8449

.272

013.

5327

671

.007

1272

.509

3649

.322

073.

4976

2-3

1.86

812

37.6

8132

-49.

1724

53.

8195

2-3

0.23

531

44.5

1709

-49.

1017

74.

1431

1-2

8.80

618

51.3

6036

-49.

0318

412

.902

63-1

7.00

909

199.

1970

4-1

0.12

610

13.3

3509

-19.

7388

820

6.03

033

-10.

2110

513

.779

12-2

2.35

360

212.

8748

6-1

0.29

621

6.28

614

-48.

9378

799

.599

81-7

2.85

500

6.48

381

-49.

2233

910

6.22

519

-72.

8260

96.

6813

9-4

9.65

375

112.

8597

8-7

2.79

980

7.86

502

77.3

7884

100.

1227

454

.325

578.

9184

975

.705

9810

7.04

091

54.3

4600

9.77

170

73.5

2379

113.

9708

354

.363

4712

.054

10-2

1.16

269

189.

6926

6-1

8.92

053

12.4

7474

-23.

9937

419

6.52

598

-18.

9848

212

.906

98-2

6.78

135

203.

3710

0-1

9.04

979

0.26

464

24.6

1864

14.0

7160

20.7

7576

0.69

089

27.4

3110

20.8

9817

20.8

4189

1.13

106

30.1

8159

27.7

3656

20.9

0847

10.7

7294

-42.

5161

118

5.15

145

-45.

3948

711

.138

81-4

5.25

245

191.

9607

8-4

5.46

096

11.5

1974

-48.

0464

619

8.78

359

-45.

5279

51.

6060

02.

3289

823

.094

37-7

.422

772.

0270

44.

8484

129

.943

74-7

.359

132.

4545

97.

2048

036

.803

48-7

.295

5013

.254

10-4

7.11

748

217.

7715

7-3

5.42

211

13.7

5010

-49.

7474

222

4.61

256

-35.

5044

014

.282

66-5

2.20

470

231.

4663

6-3

5.58

593

6.15

607

-43.

3333

894

.426

80-6

7.36

024

6.39

326

-43.

5444

310

1.14

503

-67.

3319

46.

6308

4-4

3.93

092

107.

8720

5-6

7.30

631

2.45

493

-30.

0726

021

.242

21-4

1.99

308

2.80

344

-27.

8816

428

.096

78-4

1.92

453

3.15

211

-25.

8668

434

.959

43-4

1.85

588

1.90

157

22.2

8068

34.4

6589

9.55

658

2.35

937

24.6

6595

41.2

8964

9.61

010

2.83

182

26.8

4829

48.1

2465

9.66

306

CA

T.5

#B

SC

IdC

ost

No

me

Mag

4737

48α

Hya

Alp

hard

1.98

4861

7α

Ari

Ham

al2.

0049

5958

TC

rB2.

0050

424

αU

Mi

Pol

aris

2.02

5171

21σ

Sgr

Nun

ki2.

0252

188

βC

etD

iphd

a2.

0453

1948

ζO

riA

lnita

k2.

0554

15α

And

Alp

hera

tz2.

0655

337

βA

ndM

irach

2.06

5620

04κ

Ori

Sai

ph2.

0657

5288

θC

enM

enke

nt2.

0658

5563

βU

Mi

Koc

hab

2.08

5965

56α

Oph

Ras

alha

gue

2.08

6086

36β

Gru

2.10

6193

6β

Per

Alg

ol2.

1262

4534

βLe

oD

eneb

ola

2.14

6348

19γ

Cen

Muh

lifai

n2.

1764

7796

γC

ygS

adr

2.20

6536

34λ

Vel

Suh

ail

2.21

6616

8α

Cas

Sch

edar

2.23

6718

52δ

Ori

Min

taka

2.23

6857

93α

CrB

Alp

hecc

a2.

2369

6705

γD

raE

ltani

n2.

2370

3165

ζP

upN

aos

2.25

7136

99ι

Car

Asp

idis

ke2.

2572

603

γ1

And

Alm

aak

2.26

7321

βC

asC

aph

2.27

7450

54ζ

UM

aM

izar

2.27

7562

41ε

Sco

2.29

7651

32ε

Cen

2.30

7754

69α

Lup

2.30

7854

40η

Cen

2.31

7959

53δ

Sco

Dsc

hubb

a2.

3280

4295

βU

Ma

Mer

ak2.

3781

99α

Phe

Ank

aa2.

3982

8308

εP

egE

nif

2.39

8365

80κ

Sco

2.41

8487

75β

Peg

Sch

eat

2.42

8563

78η

Oph

Sab

ik2.

4386

4554

γU

Ma

Pha

d2.

4487

8162

αC

epA

lder

amin

2.44

8828

27η

CM

aA

ludr

a2.

4589

7949

εC

ygG

iena

h C

ygni

2.46

9026

4γ

Cas

Tsi

h2.

4791

8781

αP

egM

arka

b2.

4992

3734

κV

elM

arka

b2.

50

3500

a.C

.30

00 a

.C.

2500

a.C

.A

R (

h)

Dec

(º)

Lo

n (

º)L

at (

º)A

R (

h)

Dec

(º)

Lo

n (

º)L

at (

º)A

R (

h)

Dec

(º)

Lo

n (

º)L

at (

º)4.

8735

50.

0581

471

.607

29-2

2.90

618

5.28

969

0.73

711

78.4

2717

-22.

8468

05.

7084

81.

1111

185

.257

05-2

2.78

960

21.3

9256

-5.2

8530

321.

6570

19.

9053

221

.817

29-3

.008

7232

8.50

247

9.89

904

22.2

3783

-0.5

6531

335.

3589

99.

8953

512

.054

1351

.309

2715

3.60

768

45.7

5063

12.4

5430

48.4

8019

160.

5106

945

.717

2112

.836

1645

.689

1716

7.42

236

45.6

8151

21.6

5819

60.2

4361

12.9

3525

65.3

8665

21.8

8185

62.6

0951

19.7

1767

65.4

5089

22.1

0507

65.0

5931

26.5

1690

65.5

1564

13.5

6048

-12.

8960

320

6.42

727

-2.6

3004

13.9

9691

-15.

4380

921

3.26

932

-2.7

0695

14.4

4378

-17.

8130

422

0.12

227

-2.7

8373

19.3

8936

-43.

4910

728

6.00

647

-20.

6075

419

.966

37-4

2.28

770

292.

9054

8-2

0.63

857

20.5

2429

-40.

7179

529

9.81

541

-20.

6665

41.

2522

3-2

0.20

081

8.64

714

-26.

0093

81.

6434

3-1

7.56

519

15.5

0393

-25.

9461

32.

0338

9-1

5.05

411

22.3

7004

-25.

8821

319

.709

434.

4188

429

8.66

199

25.9

0339

20.1

1046

5.75

327

305.

4746

025

.869

2320

.509

417.

3386

331

2.29

821

25.8

3797

20.6

4414

7.94

125

314.

6529

425

.915

0021

.038

679.

8440

532

1.47

356

25.9

0493

21.4

3185

11.9

4911

328.

3054

925

.897

611.

5965

3-2

6.54

911

10.3

4909

-33.

7918

11.

9714

3-2

4.01

594

17.2

0994

-33.

7276

82.

3449

2-2

1.62

322

24.0

7957

-33.

6628

99.

4733

0-6

.568

8314

6.92

250

-20.

6886

79.

8698

3-8

.968

3615

3.71

118

-20.

8046

910

.265

34-1

1.51

840

160.

5109

3-2

0.92

305

21.1

0903

76.5

7650

56.0

9029

72.3

9108

20.9

1853

78.5

9509

63.0

1010

72.4

5498

20.5

6374

80.4

6687

69.9

4910

72.5

1723

13.4

7110

30.8

8579

186.

1058

036

.882

7313

.841

2628

.275

5419

2.99

497

36.7

8993

14.2

0876

25.7

9573

199.

8925

836

.696

2615

.557

75-5

5.78

046

245.

8734

1-3

4.82

109

16.2

1744

-57.

2813

725

2.75

424

-34.

8879

416

.913

83-5

8.33

026

259.

6474

6-3

4.95

275

22.2

3325

12.3

2648

340.

4189

621

.881

0122

.630

0914

.927

6634

7.23

824

21.9

2245

23.0

2950

17.6

2866

354.

0690

921

.965

886.

4961

036

.420

6496

.128

3012

.519

047.

0417

235

.815

7310

2.92

826

12.5

0983

7.57

893

34.8

2848

109.

7391

112

.497

898.

4905

8-2

1.75

515

137.

1416

2-3

9.75

073

8.84

396

-23.

5835

414

3.90

769

-39.

7762

99.

1979

4-2

5.60

147

150.

6854

1-3

9.80

442

17.1

3307

34.5

0143

249.

7340

857

.630

8217

.421

7733

.967

4825

6.51

182

57.5

7348

17.7

1213

33.6

4661

263.

2973

857

.518

255.

8369

4-3

2.17

554

86.2

7632

-56.

2068

76.

1328

5-3

2.16

378

93.0

3033

-56.

1632

56.

4297

1-3

2.37

158

99.7

9334

-56.

1221

820

.594

1529

.269

2632

2.50

159

46.3

1882

20.9

2689

31.1

4076

329.

2743

646

.335

0821

.261

2533

.187

8633

6.05

936

46.3

5384

1.04

849

-18.

9722

36.

3621

0-2

3.66

427

1.44

435

-16.

2850

713

.218

18-2

3.60

227

1.83

929

-13.

7098

920

.083

74-2

3.53

940

11.4

8061

53.8

5095

145.

4605

944

.805

5711

.916

3651

.007

0215

2.39

312

44.7

7342

12.3

2650

48.1

5971

159.

3346

944

.738

6416

.077

8159

.831

1019

1.53

601

75.6

7895

16.2

1225

58.5

0452

198.

4801

975

.611

3016

.356

7757

.272

0920

5.42

294

75.5

4303

4.88

951

-36.

4124

363

.463

73-5

8.91

257

5.17

105

-35.

6998

970

.242

49-5

8.85

097

5.45

451

-35.

1928

177

.028

49-5

8.79

122

6.74

928

-43.

9192

711

1.18

355

-67.

1374

96.

9847

2-4

4.55

798

117.

8581

8-6

7.12

219

7.21

970

-45.

3643

912

4.54

353

-67.

1096

421

.408

1713

.441

4532

8.57

508

27.4

6252

21.7

9466

15.7

3006

335.

3850

227

.483

2722

.182

0618

.172

0634

2.20

657

27.5

0638

20.3

1799

33.2

7694

319.

7692

351

.354

7520

.633

2334

.954

5932

6.54

613

51.3

3004

20.9

4997

36.8

1197

333.

3355

851

.307

955.

6882

980

.077

6988

.559

2556

.037

937.

1678

079

.761

2795

.502

1056

.083

378.

4623

578

.457

8310

2.45

781

56.1

2600

11.7

2045

-9.7

1491

180.

1747

7-1

0.57

182

12.1

2957

-12.

5646

618

6.94

303

-10.

6743

212

.544

42-1

5.40

002

193.

7224

2-1

0.77

787

9.18

569

-24.

7184

415

0.10

415

-39.

1009

19.

5423

8-2

6.90

895

156.

8931

4-3

9.13

489

9.90

162

-29.

2554

116

3.69

424

-39.

1711

69.

8799

1-1

8.38

440

157.

8675

7-2

9.46

489

10.2

6222

-20.

8698

316

4.67

506

-29.

5071

410

.647

78-2

3.47

665

171.

4944

1-2

9.55

145

9.81

464

-13.

0924

615

4.58

225

-24.

9523

210

.205

44-1

5.55

791

161.

3938

5-2

4.99

387

10.5

9793

-18.

1511

516

8.21

706

-25.

0375

911

.148

864.

1658

516

6.64

789

-1.3

4888

11.5

6536

1.36

635

173.

4874

4-1

.399

7011

.981

23-1

.464

2018

0.33

776

-1.4

5228

2.81

608

64.0

2673

62.9

6606

44.4

9286

3.53

061

65.9

4925

69.8

4485

44.5

6179

4.32

213

67.4

2262

76.7

3676

44.6

2881

17.8

9986

-63.

7593

526

9.13

684

-39.

7002

318

.694

94-6

3.59

826

276.

0109

5-3

9.79

978

19.4

7019

-62.

8654

528

2.89

712

-39.

8964

517

.147

71-0

.879

6225

6.13

811

22.5

5561

17.5

6671

-1.3

5689

262.

9644

322

.501

7317

.987

72-1

.523

8926

9.80

082

22.4

5020

12.2

2963

-17.

8644

819

0.57

087

-14.

8796

212

.652

22-2

0.68

561

197.

4045

5-1

4.94

768

13.0

8537

-23.

4487

020

4.24

971

-15.

0164

018

.774

737.

6763

428

3.49

412

31.1

8368

19.1

6589

8.39

909

290.

3302

631

.165

2219

.556

079.

3984

329

7.17

687

31.1

4970

12.3

2945

6.27

035

181.

9461

47.

7379

512

.742

923.

4724

518

8.79

685

7.69

238

13.1

5784

0.73

797

195.

6579

27.

6457

33.

8652

568

.846

3573

.824

0546

.619

384.

7371

070

.076

4880

.721

0546

.679

385.

6726

970

.670

0387

.630

9746

.737

0518

.956

8146

.278

8429

8.41

172

68.8

9552

19.1

8029

47.0

6136

305.

1018

668

.883

7819

.402

7548

.001

1531

1.80

363

68.8

7482

3.85

198

-32.

3958

543

.937

22-5

1.30

425

4.16

574

-30.

9822

950

.762

58-5

1.23

428

4.48

144

-29.

7777

057

.595

36-5

1.16

537

17.1

1602

26.4

3584

251.

5131

849

.630

7617

.444

1025

.922

0925

8.39

036

49.5

9965

17.7

7356

25.6

5345

265.

2760

349

.570

7920

.828

5632

.814

1232

8.64

752

48.3

9711

21.1

5399

34.8

1489

335.

4186

048

.424

7521

.481

8336

.977

0334

2.20

225

48.4

5472

18.4

8653

-4.1

7326

277.

7331

019

.689

8818

.914

77-3

.664

1228

4.55

774

19.6

4987

19.3

4148

-2.8

4754

291.

3929

019

.612

696.

5527

4-4

0.19

953

104.

4656

3-6

3.83

704

6.80

900

-40.

7020

911

1.16

947

-63.

8129

87.

0653

5-4

1.38

971

117.

8834

0-6

3.79

166

CA

T.6

#B

SC

IdC

ost

No

me

Mag

9391

1α

Cet

Men

kar

2.53

9452

31ζ

Cen

Aln

air

2.55

9543

57δ

Leo

Zos

ma

2.56

9661

75ζ

Oph

Fie

ht2.

5697

1865

αLe

pA

rneb

2.58

9846

62γ

Crv

Gie

nah

2.59

9946

21δ

Cen

2.60

100

7194

ζS

grA

scel

la2.

6010

140

57γ

1Le

oA

lgie

ba2.

6110

256

85β

Lib

Zub

enel

sham

ali

2.61

103

2095

θA

urB

ogar

dus

2.62

104

5984

β1

Sco

Gra

ffias

2.62

105

553

βA

riS

hera

tan

2.64

106

1956

αC

olP

hact

2.64

107

4786

βC

rvK

raz

2.65

108

5854

αS

erU

nuka

lhai

2.65

109

403

δC

asR

ukba

h2.

6811

052

35η

Boo

Mup

hrid

2.68

111

5571

βLu

p2.

6811

215

77ι

Aur

Has

sale

h2.

6911

342

16µ

Vel

2.69

114

4798

αM

us2.

6911

565

08υ

Sco

Lesa

th2.

6911

627

73π

Pup

2.70

117

5506

εB

ooIz

ar2.

7011

868

59δ

Sgr

Nun

ki2.

7011

975

25γ

Aql

Tar

azed

2.72

120

6056

δO

phY

ed P

rior

2.74

121

6132

ηD

ra2.

7412

250

28ι

Cen

Ke

Kw

an2.

7512

355

31α

2Li

bZ

uben

elge

nubi

2.75

124

4199

θC

ar2.

7612

518

99ι

Ori

Nai

r al

Sai

f2.

7712

661

48β

Her

Kor

neph

oros

2.77

127

6603

βO

phC

elba

lrai

2.77

128

5776

γLu

p2.

7812

916

66β

Eri

Cur

sa2.

7913

065

36β

Dra

Alw

aid

2.79

131

98β

Hyi

2.80

132

4656

δC

ru2.

8013

331

85ρ

Pup

2.81

134

6212

ζH

er2.

8113

569

13λ

Sgr

Kau

s B

orea

lis2.

8113

661

65τ

Sco

Al N

iyat

2.82

137

39γ

Peg

Alg

enib

2.83

138

4932

εV

irV

inde

mia

trix

2.83

3500

a.C

.30

00 a

.C.

2500

a.C

.A

R (

h)

Dec

(º)

Lo

n (

º)L

at (

º)A

R (

h)

Dec

(º)

Lo

n (

º)L

at (

º)A

R (

h)

Dec

(º)

Lo

n (

º)L

at (

º)22

.371

11-2

4.38

956

328.

2881

4-1

2.91

127

22.8

1522

-21.

7536

333

5.13

998

-12.

8923

423

.248

84-1

9.02

200

342.

0021

9-1

2.87

099

9.33

044

-18.

3194

414

9.41

670

-32.

4142

99.

7047

5-2

0.58

454

156.

2150

6-3

2.45

220

10.0

8079

-23.

0034

416

3.02

521

-32.

4924

25.

5835

038

.044

9284

.930

6814

.093

816.

1488

538

.136

0291

.810

8414

.129

466.

7133

737

.807

0298

.702

1814

.162

4311

.917

0313

.712

2017

3.19

389

11.9

9583

12.3

3100

10.8

7965

180.

0466

711

.946

4712

.742

788.

0775

818

6.90

962

11.8

9563

1.61

353

-35.

4818

95.

2424

1-4

1.76

862

1.97

048

-32.

9509

212

.114

48-4

1.70

670

2.32

418

-30.

5534

018

.994

72-4

1.64

386

7.63

884

7.48

424

115.

2038

9-1

4.40

074

8.07

254

6.15

748

122.

0067

1-1

4.39

592

8.50

177

4.55

955

128.

8202

8-1

4.39

398

8.13

823

-24.

8773

313

2.24

722

-44.

2326

18.

4782

8-2

6.49

143

139.

0185

2-4

4.24

525

8.81

879

-28.

3041

414

5.80

147

-44.

2605

713

.543

05-1

6.90

653

207.

7046

3-6

.441

4713

.985

72-1

9.44

574

214.

5435

5-6

.511

4614

.440

55-2

1.81

598

221.

3935

5-6

.581

214.

6880

431

.282

5073

.087

148.

3958

85.

2189

632

.051

3979

.980

168.

4465

95.

7565

732

.428

8486

.884

308.

4949

510

.602

2218

.872

3515

3.47

333

9.04

958

11.0

3457

16.1

6904

160.

3126

19.

0089

011

.459

4313

.390

1916

7.16

231

8.96

600

0.48

910

17.6

8401

13.9

6282

13.1

6521

0.91

685

20.4

6497

20.8

0428

13.2

1993

1.35

570

23.1

6531

27.6

5716

13.2

7513

11.2

6502

6.67

471

167.

2373

11.

6437

111

.682

443.

8621

917

4.08

015

1.59

282

12.0

9859

1.02

800

180.

9336

51.

5402

021

.198

22-7

.855

9331

8.05

524

8.37

289

21.6

2817

-5.6

6081

324.

8929

18.

3710

622

.052

91-3

.284

1433

1.74

155

8.37

190

2.46

110

-48.

8165

95.

8846

2-5

8.04

555

2.74

542

-46.

6154

412

.780

40-5

7.98

718

3.02

941

-44.

5562

619

.682

24-5

7.92

791

7.99

857

2.89

942

121.

6198

4-1

7.85

212

8.41

966

1.34

114

128.

4424

2-1

7.85

580

8.83

689

-0.4

6546

135.

2759

0-1

7.86

239

11.2

6210

33.3

6166

155.

6684

525

.896

5811

.694

8430

.553

6216

2.55

762

25.8

7085

12.1

1499

27.7

2400

169.

4565

425

.842

8821

.084

6631

.803

4433

2.36

472

46.1

1653

21.4

2080

33.9

2850

339.

1611

846

.132

7121

.760

2236

.207

7234

5.97

031

46.1

5116

8.99

619

47.6

9536

122.

8424

428

.753

679.

5419

545

.502

4512

9.73

720

28.7

0635

10.0

5767

43.0

7640

136.

6422

828

.656

0310

.101

47-1

4.28

313

159.

3327

1-2

4.43

665

10.4

9359

-16.

8481

316

6.14

647

-24.

4835

310

.888

46-1

9.52

142

172.

9718

8-2

4.53

244

23.7

7652

9.23

734

0.74

160

9.79

407

0.19

155

12.0

7203

7.57

663

9.85

033

0.61

240

14.8

8704

14.4

2285

9.90

770

7.18

875

-28.

5710

111

5.32

111

-51.

0396

07.

5058

7-2

9.55

451

122.

0917

2-5

1.03

005

7.82

307

-30.

7542

212

8.87

326

-51.

0233

78.

8406

7-4

1.43

729

155.

2529

2-5

6.02

294

9.13

287

-43.

4393

216

2.00

457

-56.

0624

79.

4273

4-4

5.58

672

168.

7697

0-5

6.10

407

12.1

2670

-15.

3764

418

8.10

970

-13.

2427

212

.546

71-1

8.20

652

194.

9442

1-1

3.31

042

12.9

7592

-20.

9875

220

1.79

012

-13.

3788

74.

1271

0-3

9.58

589

44.8

4432

-59.

2126

14.

4046

1-3

8.34

138

51.6

6172

-59.

1432

44.

6844

4-3

7.28

749

58.4

8541

-59.

0749

510

.242

7355

.879

0313

1.65

762

40.8

7079

10.7

5889

53.2

6097

138.

5507

140

.861

6311

.236

7850

.528

5014

5.45

372

40.8

4962

12.9

8717

-12.

7036

819

8.59

578

-5.6

8949

13.4

1709

-15.

4066

520

5.43

960

-5.7

6128

13.8

5681

-17.

9887

521

2.29

445

-5.8

3332

15.4

6362

13.7

5074

225.

1394

731

.934

5815

.843

3712

.113

8323

1.97

545

31.8

6476

16.2

2633

10.7

1819

238.

8205

131

.796

0511

.670

0222

.045

6616

6.24

362

18.0

6621

12.0

8663

19.1

9248

173.

0999

817

.998

4412

.497

2816

.350

1417

9.96

623

17.9

2888

16.6

6181

75.5

4779

115.

3488

478

.458

7916

.422

0674

.490

3212

2.49

306

78.4

7288

16.2

4627

73.2

9452

129.

6480

178

.483

718.

8404

5-8

.317

0613

7.86

451

-25.

4064

39.

2313

1-1

0.35

817

144.

6413

3-2

5.45

015

9.62

089

-12.

5869

815

1.42

935

-25.

4964

310

.121

6512

.893

7314

9.24

838

0.92

116

10.5

5214

10.3

1313

156.

0804

00.

8781

510

.976

637.

6191

216

2.92

309

0.83

276

7.76

145

-41.

9307

913

4.58

541

-61.

8626

58.

0232

9-4

3.27

941

141.

2931

9-6

1.87

580

8.28

474

-44.

7934

514

8.01

365

-61.

8915

31.

2775

3-2

4.37

253

6.94

129

-29.

9155

21.

6624

0-2

1.74

279

13.8

0136

-29.

8527

62.

0454

9-1

9.23

674

20.6

7050

-29.

7891

712

.577

3744

.743

4416

4.90

650

43.3

4313

12.9

5573

41.9

6586

171.

7820

243

.292

3813

.323

0439

.260

2317

8.66

600

43.2

3978

13.3

6875

22.0

9405

189.

3811

728

.420

9013

.755

5319

.513

2919

6.23

154

28.3

7875

14.1

4128

17.0

6329

203.

0911

028

.335

9210

.578

09-1

3.13

450

165.

7275

6-2

0.60

455

10.9

7768

-15.

8311

417

2.54

889

-20.

6554

811

.381

06-1

8.60

254

179.

3818

0-2

0.70

819

0.79

249

-26.

0294

935

9.35

310

-28.

4354

31.

1847

5-2

3.30

200

6.20

028

-28.

3873

51.

5732

1-2

0.66

650

13.0

5672

-28.

3380

915

.810

5063

.463

7917

4.79

700

75.9

1882

15.9

1486

61.9

5878

181.

8080

575

.866

0016

.033

9360

.526

9818

8.81

826

75.8

1168

10.9

8309

-70.

1956

322

2.75

807

-63.

5642

411

.265

76-7

3.04

219

229.

7742

1-6

3.68

422

11.5

7461

-75.

9253

823

6.80

771

-63.

8027

88.

3922

2-3

2.23

882

140.

5312

2-5

0.04

267

8.71

024

-33.

9982

614

7.29

002

-50.

0654

39.

0295

0-3

5.93

431

154.

0610

8-5

0.09

072

4.27

167

-22.

9490

756

.015

91-4

3.92

537

4.61

433

-21.

8235

662

.815

23-4

3.85

673

4.95

918

-20.

9373

469

.623

10-4

3.78

966

13.2

4137

52.2

2409

166.

0966

653

.271

0713

.570

1749

.645

3417

2.90

558

53.2

6215

13.8

9048

47.1

6605

179.

7214

153

.251

7613

.224

03-9

.221

7720

0.44

532

-1.1

2014

13.6

5104

-11.

8807

520

7.28

005

-1.2

1330

14.0

8675

-14.

4023

021

4.12

555

-1.3

0665

11.5

8195

-3.1

4332

175.

5508

6-5

.424

8111

.996

10-5

.978

6718

2.38

782

-5.4

8303

12.4

1331

-8.8

1024

189.

2357

4-5

.542

6119

.541

53-9

.554

5429

3.37

968

12.6

0525

19.9

8323

-8.2

9306

300.

2055

412

.590

5620

.420

17-6

.750

6030

7.04

219

12.5

7878

7.99

123

37.8

9252

114.

1801

716

.365

488.

5220

836

.307

8712

1.00

582

16.3

6492

9.03

520

34.4

2148

127.

8421

716

.361

46

CA

T.7

#B

SC

IdC

ost

No

me

Mag

139

1829

βLe

pN

ihal

2.84

140

1203

ζP

erM

enkh

ib2.

8514

158

97β

TrA

2.85

142

6461

βA

ra2.

8514

359

1α

Hyi

Hea

d of

Hyd

rus

2.86

144

8502

αT

uc2.

8614

511

65η

Tau

Alc

yone

2.87

146

7528

δC

yg2.

8714

783

22δ

Cap

Den

eb A

lgie

di2.

8714

822

86µ

Gem

Tej

at P

oste

rior

2.88

149

1220

εP

er2.

8915

056

71γ

TrA

2.89

151

5944

πS

co2.

8915

260

84σ

Sco

Al N

iyat

2.89

153

7264

πS

grA

lbal

dah

2.89

154

2845

βC

Mi

Gom

eisa

2.90

155

4915

α2

CV

nC

or C

arol

i2.

9015

682

32β

Aqr

Sad

alsu

ud2.

9115

791

5γ

Per

2.93

158

2553

τP

up2.

9315

986

50η

Peg

Mat

ar2.

9416

012

31γ

Eri

Zau

rak

2.95

161

4757

δC

rvA

lgor

ab2.

9516

265

10α

Ara

Cho

o2.

9516

384

14α

Aqr

Sad

alm

elik

2.96

164

2473

εG

emM

ebsu

ta2.

9816

538

73ε

Leo

Ras

Ela

sed

Aus

tr.

2.98

166

1605

εA

urM

aaz

2.99

167

6746

γ2

Sgr

Nas

h2.

9916

872

35ζ

Aql

Den

eb e

l Oka

b2.

9916

962

2β

Tri

3.00

170

1910

ζT

au3.

0017

146

30ε

Crv

Min

kar

3.00

172

5020

γH

ya3.

0017

311

22δ

Per

3.01

3500

a.C

.30

00 a

.C.

2500

a.C

.A

R (

h)

Dec

(º)

Lo

n (

º)L

at (

º)A

R (

h)

Dec

(º)

Lo

n (

º)L

at (

º)A

R (

h)

Dec

(º)

Lo

n (

º)L

at (

º)1.

6384

5-3

8.45

632

3.51

947

-44.

4808

41.

9883

3-3

5.94

418

10.3

9402

-44.

4324

72.

3344

5-3

3.56

399

17.2

7652

-44.

3831

122

.936

584.

6954

134

7.25

670

10.7

4436

23.3

4726

7.45

991

354.

0890

010

.791

0123

.759

9110

.272

320.

9324

610

.839

3810

.504

16-3

5.03

342

176.

1229

5-4

0.66

211

10.8

7022

-37.

7554

018

2.93

304

-40.

7739

511

.246

49-4

0.55

310

189.

7559

2-4

0.88

712

11.5

5059

-31.

8598

118

8.37

615

-31.

5082

911

.957

55-3

4.69

383

195.

1986

7-3

1.57

520

12.3

7947

-37.

5269

420

2.03

363

-31.

6428

414

.675

77-8

6.81

490

264.

4835

7-6

3.77

660

19.1

2129

-87.

7662

127

1.46

551

-63.

8333

422

.202

95-8

5.83

325

278.

4616

9-6

3.88

732

13.9

3033

-61.

0955

223

3.45

494

-44.

7432

714

.543

30-6

3.45

949

240.

3093

4-4

4.81

217

15.2

2964

-65.

5221

124

7.17

709

-44.

8795

822

.932

67-3

.168

9134

4.06

690

3.54

385

23.3

4933

-0.4

0919

350.

9061

13.

5823

123

.765

212.

3989

335

7.75

619

3.62

263

16.9

2464

42.5

4042

241.

0857

364

.952

3617

.174

2741

.843

2124

7.87

656

64.8

9341

17.4

2615

41.3

2919

254.

6734

764

.836

2516

.345

15-2

3.61

031

247.

3682

3-1

.524

5216

.840

19-2

4.68

504

254.

2297

3-1

.633

7517

.343

01-2

5.40

472

261.

1021

8-1

.740

921.

2166

86.

4516

319

.272

08-1

.391

701.

6420

99.

0810

926

.121

78-1

.338

992.

0750

511

.573

8632

.982

15-1

.286

0722

.878

8112

.834

8634

9.85

500

18.5

3375

23.2

8268

15.5

8698

356.

6813

218

.580

2323

.691

1518

.391

303.

5191

818

.628

3310

.096

84-3

9.98

314

173.

8654

4-4

7.39

399

10.4

3886

-42.

5372

418

0.65

524

-47.

4531

010

.790

05-4

5.18

952

187.

4584

3-4

7.51

361

11.0

8047

0.81

689

167.

0393

4-4

.829

2411

.495

08-1

.974

1917

3.87

603

-4.8

8102

11.9

1009

-4.8

0181

180.

7236

4-4

.934

5411

.414

900.

2208

117

1.88

652

-3.3

6496

11.8

2949

-2.6

0487

178.

7246

2-3

.420

2312

.245

50-5

.440

2318

5.57

359

-3.4

7702

13.9

2728

-9.8

0230

210.

3158

12.

2228

614

.361

83-1

2.20

826

217.

1570

42.

1478

614

.805

69-1

4.42

204

224.

0089

22.

0732

32.

5767

40.

6551

136

.361

04-1

4.13

549

2.99

534

2.76

255

43.1

9551

-14.

0715

63.

4201

84.

6462

950

.040

02-1

4.00

831

6.97

179

63.6

4347

98.3

8876

40.0

1427

7.73

359

62.6

5691

105.

2499

240

.038

268.

4482

561

.182

0911

2.12

250

40.0

5939

16.4

7877

-13.

0964

724

7.50

492

9.15

853

16.9

3708

-14.

0404

625

4.34

275

9.09

784

17.4

0043

-14.

6545

026

1.19

103

9.03

922

22.1

0814

24.7

7015

344.

3894

433

.954

5422

.483

3527

.328

8435

1.19

466

33.9

9941

22.8

6424

29.9

9213

358.

0121

234

.046

104.

6405

7-5

2.84

496

42.3

6758

-73.

4511

84.

8246

6-5

1.92

545

49.1

9900

-73.

3911

15.

0134

1-5

1.13

980

56.0

3163

-73.

3318

918

.569

8011

.556

8528

0.27

821

35.3

0849

18.9

4606

12.1

1227

287.

0742

335

.276

2119

.321

9912

.937

2729

3.88

063

35.2

4675

23.6

7528

-39.

3793

233

7.52

472

-33.

5422

60.

0958

3-3

6.55

653

344.

4101

8-3

3.52

054

0.50

241

-33.

7451

835

1.30

501

-33.

4966

57.

8425

59.

5559

011

7.86

170

-11.

8079

18.

2812

48.

0728

812

4.67

082

-11.

8294

48.

7145

66.

3256

113

1.49

069

-11.

8538

511

.798

58-2

7.03

371

189.

0991

4-2

5.73

168

12.2

1336

-29.

8785

019

5.92

400

-25.

8053

212

.641

69-3

2.70

157

202.

7609

5-2

5.87

967

17.1

8223

-11.

8253

725

7.73

894

11.7

0471

17.6

3735

-12.

2645

626

4.57

266

11.6

5155

18.0

9472

-12.

3663

027

1.41

684

11.6

0078

1.44

022

10.7

9643

23.9

9920

1.35

070

1.87

235

13.3

6902

30.8

3993

1.41

810

2.31

396

15.7

8537

37.6

9149

1.48

545

4.04

448

30.6

6960

64.7

3170

9.20

716

4.56

303

31.8

8451

71.5

7415

9.26

419

5.09

258

32.7

3657

78.4

2775

9.31

927

23.6

0810

19.6

3459

2.98

974

20.2

5207

0.01

967

22.4

6766

9.81

780

20.3

1179

0.44

072

25.2

9492

16.6

5760

20.3

7252

12.7

8053

-11.

6958

119

5.39

908

-5.9

7380

13.2

0582

-14.

4585

720

2.23

171

-6.0

6623

13.6

4017

-17.

1186

220

9.07

538

-6.1

5905

14.9

7525

21.6

0737

213.

9958

837

.053

6215

.337

4619

.673

5222

0.83

440

36.9

7034

15.7

0178

17.9

4863

227.

6815

136

.887

6021

.455

866.

0500

232

6.47

192

20.2

9044

21.8

5834

8.36

419

333.

3042

920

.305

8022

.259

9810

.833

9834

0.14

802

20.3

2364

0.61

597

0.95

118

8.83

275

-2.8

8335

1.03

280

3.71

966

15.6

7577

-2.8

2263

1.45

423

6.40

114

22.5

2938

-2.7

6118

7.63

290

2.21

425

116.

0891

5-1

9.60

311

8.05

194

0.89

778

122.

8963

9-1

9.59

557

8.46

763

-0.6

8228

129.

7144

5-1

9.59

091

8.66

288

4.92

716

131.

1296

1-1

3.47

591

9.08

812

2.98

211

137.

9647

7-1

3.48

709

9.50

879

0.82

297

144.

8109

0-1

3.50

107

22.5

9304

19.9

7847

349.

0474

726

.740

9522

.985

3722

.670

0135

5.86

549

26.7

8544

23.3

8378

25.4

3456

2.69

546

26.8

3157

CA

T.8

#B

SC

IdC

ost

No

me

Mag

124

91α

CM

aS

irius

-1.4

62

2326

αC

arC

anop

us-0

.72

353

40α

Boo

Arc

turu

s-0

.04

454

59α

1C

enR

igel

Ken

taur

us-0

.01

570

01α

Lyr

Veg

a0.

036

1708

αA

urC

apel

la0.

087

1713

βO

riR

igel

0.12

829

43α

CM

iP

rocy

on0.

389

472

αE

riA

cher

nar

0.46

1020

61α

Ori

Bet

elge

use

0.50

1152

67β

Cen

Had

ar0.

6112

7557

αA

qlA

ltair

0.77

1314

57α

Tau

Ald

ebar

an0.

8514

6134

αS

coA

ntar

es0.

9615

5056

αV

irS

pica

0.98

1629

90β

Gem

Pol

lux

1.14

1787

28α

PsA

Fom

alha

ut1.

1618

4853

βC

ruM

imos

a1.

2519

7924

αC

ygD

eneb

1.25

2047

30α

1C

ruA

crux

1.33

2154

60α

2C

enP

roxi

ma

1.33

2239

82α

Leo

Reg

ulus

1.35

2326

18ε

CM

aA

dhar

a1.

5024

4763

γC

ruG

acru

x1.

6325

6527

λS

coS

haul

a1.

6326

1790

γO

riB

ella

trix

1.64

2717

91β

Tau

Eln

ath

1.65

2836

85β

Car

Mia

plac

idus

1.68

2919

03ε

Ori

Aln

ilam

1.70

3084

25α

Gru

Aln

air

1.74

3149

05ε

UM

aA

lioth

1.77

3232

07γ

2V

elR

egor

1.78

3310

17α

Per

Mirf

ak1.

7934

4301

αU

Ma

Dub

he1.

7935

2693

δC

Ma

Wez

en1.

8436

6879

εS

grK

aus

Aus

tral

is1.

8537

3307

εC

arA

vior

1.86

3851

91η

UM

aA

lkai

d1.

8639

6553

θS

coS

arga

s1.

8740

2088

βA

urM

enka

linan

1.90

4162

17α

TrA

Atr

ia1.

9242

2421

γG

emA

lhen

a1.

9343

7790

αP

avP

eaco

ck1.

9444

3485

δV

el1.

9645

2294

βC

Ma

Mirz

am1.

9846

2891

αG

emC

asto

r1.

98

2000

a.C

.15

00 a

.C.

1000

a.C

.A

R (

h)

Dec

(º)

Lo

n (

º)L

at (

º)A

R (

h)

Dec

(º)

Lo

n (

º)L

at (

º)A

R (

h)

Dec

(º)

Lo

n (

º)L

at (

º)3.

8266

0-1

9.41

144

49.3

3478

-38.

7561

34.

1885

2-1

8.18

249

56.1

4049

-38.

8576

74.

5519

6-1

7.19

409

62.9

5646

-38.

9603

44.

9878

9-5

4.61

336

49.9

2551

-76.

3751

25.

1518

2-5

3.92

844

56.7

9521

-76.

3031

35.

3206

3-5

3.36

457

63.6

6646

-76.

2318

111

.094

2142

.746

8614

8.76

191

33.4

0032

11.5

2698

39.7

0733

155.

6545

833

.076

9211

.941

9936

.634

4516

2.55

864

32.7

5059

11.0

4560

-40.

4407

018

7.03

661

-42.

0089

411

.411

28-4

3.10

024

193.

5585

6-4

2.08

185

11.7

9157

-45.

7922

320

0.08

974

-42.

1551

516

.404

3441

.421

5422

9.65

899

61.9

6863

16.6

7424

40.3

9289

236.

5867

761

.935

8416

.946

4239

.556

4524

3.52

223

61.9

0378

0.98

959

31.4

2095

26.4

9857

22.8

2244

1.44

776

34.0

4853

33.3

6717

22.8

2629

1.92

590

36.5

4281

40.2

4999

22.8

3078

2.13

465

-20.

7149

721

.342

97-3

1.63

071

2.51

445

-18.

3979

628

.237

89-3

1.56

903

2.89

543

-16.

2566

835

.144

03-3

1.50

658

4.13

330

5.83

510

61.0

4482

-15.

2641

04.

5675

26.

8510

467

.843

55-1

5.35

348

5.00

590

7.56

733

74.6

5434

-15.

4441

422

.025

34-7

8.89

017

289.

0547

7-5

9.12

999

22.7

9227

-76.

3099

429

6.03

529

-59.

1712

223

.379

01-7

3.57

513

303.

0305

5-5

9.20

956

2.44

653

-2.7

0217

33.3

2148

-16.

5686

42.

8613

6-0

.530

3740

.206

52-1

6.50

066

3.28

175

1.42

770

47.1

0366

-16.

4325

310

.521

37-3

8.69

477

178.

7472

3-4

3.70

485

10.8

8655

-41.

3602

818

5.57

314

-43.

7536

311

.263

83-4

4.09

951

192.

4141

0-4

3.80

414

16.5

9281

7.36

027

245.

7747

829

.491

8316

.994

766.

5065

225

2.73

102

29.4

6193

17.3

9945

5.94

578

259.

6992

529

.433

641.

0277

40.

4966

714

.343

41-5

.731

781.

4486

83.

1495

721

.228

01-5

.702

001.

8748

95.

6818

328

.125

32-5

.671

0512

.772

12-9

.515

7919

4.39

808

-4.0

6112

13.1

9926

-12.

2486

320

1.27

090

-4.1

2176

13.6

3470

-14.

8783

320

8.15

686

-4.1

8348

10.0

0575

10.5

1808

148.

5009

8-1

.832

2210

.437

197.

9907

415

5.37

141

-1.8

5112

10.8

6354

5.34

204

162.

2548

5-1

.872

693.

6313

226

.374

9358

.409

696.

3389

04.

1260

927

.828

4465

.212

226.

3863

64.

6324

828

.956

9472

.028

076.

4327

618

.703

74-4

4.18

268

278.

0659

0-2

0.55

958

19.2

9928

-43.

4851

728

4.99

116

-20.

6412

119

.881

38-4

2.37

736

291.

9300

7-2

0.72

016

9.71

262

-38.

3536

716

6.75

824

-48.

2844

910

.048

41-4

0.75

660

173.

5645

8-4

8.32

208

10.3

9112

-43.

2774

118

0.38

589

-48.

3617

718

.441

8136

.491

0328

0.74

769

60.1

6318

18.7

2111

36.9

1946

287.

5287

060

.122

0719

.001

0237

.549

8529

4.32

078

60.0

8347

9.53

434

-42.

0819

916

7.04

670

-52.

5308

69.

8516

0-4

4.40

857

173.

8438

6-5

2.56

756

10.1

7502

-46.

8569

018

0.65

629

-52.

6063

911

.046

25-4

0.44

483

187.

0480

2-4

2.00

853

11.4

1182

-43.

1037

519

3.56

791

-42.

0815

811

.792

03-4

5.79

511

200.

0972

2-4

2.15

499

6.34

283

24.0

8943

94.6

9354

0.25

083

6.84

081

23.6

4430

101.

5382

60.

2862

67.

3350

322

.844

5210

8.39

602

0.31

930

4.40

041

-30.

8396

055

.559

29-5

1.87

737

4.71

610

-29.

7979

362

.423

93-5

1.80

872

5.03

394

-28.

9787

969

.298

12-5

1.74

102

9.49

808

-35.

7937

416

1.56

059

-47.

3065

39.

8353

9-3

8.14

693

168.

4062

1-4

7.36

590

10.1

7805

-40.

6302

517

5.26

596

-47.

4272

213

.460

15-2

3.69

746

209.

2200

4-1

3.23

004

13.9

1559

-26.

2539

721

6.09

134

-13.

2994

014

.386

74-2

8.64

154

222.

9762

8-1

3.36

913

1.99

836

-6.0

4320

25.5

3206

-17.

3206

22.

4076

2-3

.678

1432

.414

92-1

7.25

862

2.82

133

-1.4

9614

39.3

0987

-17.

1960

61.

5485

315

.375

9827

.187

745.

0578

01.

9924

017

.879

7134

.063

155.

0979

12.

4478

320

.213

3540

.951

805.

1384

98.

0327

0-5

5.38

067

158.

4615

8-7

1.94

665

8.21

061

-56.

8628

416

5.08

794

-71.

9758

58.

3831

5-5

8.44

964

171.

7311

5-7

2.00

718

2.33

560

-12.

3605

328

.027

51-2

5.02

864

2.73

060

-10.

1351

634

.914

64-2

4.96

400

3.12

880

-8.1

0550

41.8

1338

-24.

8989

317

.020

57-5

5.73

676

260.

2729

1-3

2.31

746

17.7

1384

-56.

2273

426

7.17

543

-32.

3996

218

.414

23-5

6.20

442

274.

0923

8-3

2.47

972

8.24

351

76.4

3959

102.

7843

854

.042

629.

2148

574

.585

8010

9.75

075

54.0

8699

10.0

0637

72.2

9828

116.

7319

654

.128

606.

1081

3-4

0.88

081

92.8

7971

-64.

7882

56.

3629

0-4

1.05

424

99.6

5030

-64.

7393

76.

6185

6-4

1.41

486

106.

4308

8-6

4.69

280

23.5

3164

29.6

6795

6.84

884

29.7

0562

23.9

4207

32.4

8212

13.7

0074

29.7

5393

0.36

652

35.2

9574

20.5

6701

29.8

0366

4.44

420

72.4

2033

79.4

1224

49.3

7028

5.44

842

73.1

7988

86.3

3011

49.4

1657

6.49

008

73.1

9058

93.2

6356

49.4

6085

4.46

872

-27.

5917

158

.212

01-4

8.96

276

4.79

647

-26.

6015

765

.072

87-4

8.89

465

5.12

638

-25.

8438

571

.943

69-4

8.82

760

14.2

3665

-24.

8145

421

9.73

148

-10.

3814

414

.709

17-2

7.08

166

226.

6009

3-1

0.46

664

15.1

9765

-29.

1141

923

3.48

388

-10.

5516

76.

8784

3-5

0.22

711

119.

5047

1-7

2.77

611

7.07

450

-50.

9408

712

6.16

102

-72.

7550

57.

2691

2-5

1.79

175

132.

8296

7-7

2.73

660

10.4

6543

71.0

2808

120.

9131

354

.377

9711

.044

2868

.351

2912

7.86

836

54.3

8950

11.5

4282

65.5

7967

134.

8370

154

.398

0713

.353

48-2

9.48

791

210.

2285

5-1

9.11

532

13.8

1683

-32.

0730

721

7.09

940

-19.

1812

914

.299

38-3

4.49

362

223.

9842

2-1

9.24

757

1.58

794

32.8

3076

34.5

8761

20.9

7538

2.06

417

35.3

3615

41.4

5205

21.0

4250

2.56

202

37.6

5215

48.3

3057

21.1

0972

11.9

2044

-50.

8720

220

5.62

076

-45.

5957

112

.346

83-5

3.69

876

212.

4730

6-4

5.66

413

12.8

0631

-56.

4902

721

9.34

118

-45.

7330

82.

8897

79.

3659

243

.674

40-7

.232

003.

3332

611

.300

3050

.557

28-7

.168

733.

7853

312

.977

9057

.452

78-7

.105

8414

.856

57-5

4.42

757

238.

3337

6-3

5.66

657

15.4

7490

-56.

3470

824

5.21

549

-35.

7462

416

.137

40-5

7.89

038

252.

1121

8-3

5.82

481

6.86

854

-44.

4909

511

4.60

893

-67.

2833

87.

1060

5-4

5.22

172

121.

3566

5-6

7.26

316

7.34

313

-46.

1195

312

8.11

614

-67.

2456

53.

5019

0-2

4.04

506

41.8

3099

-41.

7872

63.

8535

1-2

2.43

198

48.7

1225

-41.

7187

94.

2073

9-2

1.04

195

55.6

0391

-41.

6506

03.

3196

428

.787

5454

.971

729.

7153

23.

8227

930

.444

3361

.831

599.

7667

94.

3402

631

.781

8268

.704

949.

8173

4

CA

T.9

#B

SC

IdC

ost

No

me

Mag

4737

48α

Hya

Alp

hard

1.98

4861

7α

Ari

Ham

al2.

0049

5958

TC

rB2.

0050

424

αU

Mi

Pol

aris

2.02

5171

21σ

Sgr

Nun

ki2.

0252

188

βC

etD

iphd

a2.

0453

1948

ζO

riA

lnita

k2.

0554

15α

And

Alp

hera

tz2.

0655

337

βA

ndM

irach

2.06

5620

04κ

Ori

Sai

ph2.

0657

5288

θC

enM

enke

nt2.

0658

5563

βU

Mi

Koc

hab

2.08

5965

56α

Oph

Ras

alha

gue

2.08

6086

36β

Gru

2.10

6193

6β

Per

Alg

ol2.

1262

4534

βLe

oD

eneb

ola

2.14

6348

19γ

Cen

Muh

lifai

n2.

1764

7796

γC

ygS

adr

2.20

6536

34λ

Vel

Suh

ail

2.21

6616

8α

Cas

Sch

edar

2.23

6718

52δ

Ori

Min

taka

2.23

6857

93α

CrB

Alp

hecc

a2.

2369

6705

γD

raE

ltani

n2.

2370

3165

ζP

upN

aos

2.25

7136

99ι

Car

Asp

idis

ke2.

2572

603

γ1

And

Alm

aak

2.26

7321

βC

asC

aph

2.27

7450

54ζ

UM

aM

izar

2.27

7562

41ε

Sco

2.29

7651

32ε

Cen

2.30

7754

69α

Lup

2.30

7854

40η

Cen

2.31

7959

53δ

Sco

Dsc

hubb

a2.

3280

4295

βU

Ma

Mer

ak2.

3781

99α

Phe

Ank

aa2.

3982

8308

εP

egE

nif

2.39

8365

80κ

Sco

2.41

8487

75β

Peg

Sch

eat

2.42

8563

78η

Oph

Sab

ik2.

4386

4554

γU

Ma

Pha

d2.

4487

8162

αC

epA

lder

amin

2.44

8828

27η

CM

aA

ludr

a2.

4589

7949

εC

ygG

iena

h C

ygni

2.46

9026

4γ

Cas

Tsi

h2.

4791

8781

αP

egM

arka

b2.

4992

3734

κV

elM

arka

b2.

50

2000

a.C

.15

00 a

.C.

1000

a.C

.A

R (

h)

Dec

(º)

Lo

n (

º)L

at (

º)A

R (

h)

Dec

(º)

Lo

n (

º)L

at (

º)A

R (

h)

Dec

(º)

Lo

n (

º)L

at (

º)6.

1290

11.

1749

692

.097

80-2

2.73

465

6.55

027

0.92

798

98.9

5019

-22.

6820

36.

9712

90.

3741

310

5.81

497

-22.

6317

722

.655

532.

0129

334

2.22

739

9.89

418

23.0

7200

4.69

350

349.

1084

39.

8954

423

.489

087.

4435

435

6.00

280

9.89

906

13.2

0453

42.9

6248

174.

3434

245

.643

6213

.563

2140

.323

4318

1.27

455

45.6

0365

13.9

1526

37.7

9321

188.

2163

245

.561

7122

.328

5367

.584

0633

.333

8265

.580

7622

.553

1370

.174

8240

.169

2165

.646

1522

.780

2572

.822

6447

.023

7965

.711

6914

.902

25-1

9.98

426

226.

9869

3-2

.860

2615

.372

98-2

1.91

541

233.

8640

6-2

.936

4115

.855

96-2

3.57

137

240.

7543

3-3

.012

0721

.060

89-3

8.82

904

306.

7370

5-2

0.69

148

21.5

7573

-36.

6713

631

3.67

108

-20.

7133

822

.069

74-3

4.29

544

320.

6181

2-2

0.73

226

2.42

524

-12.

6937

929

.246

30-2

5.81

753

2.81

881

-10.

5094

036

.133

44-2

5.75

242

3.21

559

-8.5

2500

43.0

3216

-25.

6869

520

.906

489.

1552

631

9.13

366

25.8

0957

21.3

0220

11.1

8144

325.

9817

825

.784

0121

.697

3613

.393

7433

2.84

326

25.7

6124

21.8

2463

14.2

3263

335.

1496

225

.892

9622

.218

2316

.669

4834

2.00

673

25.8

9091

22.6

1422

19.2

3337

348.

8775

325

.891

412.

7185

3-1

9.39

346

30.9

5879

-33.

5975

73.

0934

7-1

7.34

803

37.8

4837

-33.

5318

43.

4706

5-1

5.50

713

44.7

4899

-33.

4658

410

.661

38-1

4.19

175

167.

3226

1-2

1.04

369

11.0

5975

-16.

9604

117

4.14

700

-21.

1665

211

.462

50-1

9.79

542

180.

9848

1-2

1.29

146

19.9

6024

82.0

5966

76.9

0790

72.5

7774

19.0

3094

83.1

5464

83.8

8703

72.6

3639

17.8

4492

83.4

8537

90.8

8693

72.6

9310

14.5

7536

23.4

6826

206.

7994

736

.601

8414

.942

4921

.314

0221

3.71

637

36.5

0681

15.3

1122

19.3

5275

220.

6439

836

.411

2917

.635

68-5

8.87

278

266.

5538

1-3

5.01

543

18.3

6706

-58.

8789

227

3.47

397

-35.

0759

219

.090

28-5

8.34

999

280.

4085

5-3

5.13

413

23.4

3353

20.4

0012

0.91

236

22.0

1119

23.8

4448

23.2

1133

7.76

882

22.0

5827

0.26

487

26.0

2989

14.6

3919

22.1

0702

8.10

437

33.4

8578

116.

5616

412

.483

208.

6158

031

.821

8512

3.39

658

12.4

6576

9.11

212

29.8

7559

130.

2445

412

.445

569.

5535

0-2

7.79

146

157.

4756

7-3

9.83

507

9.91

194

-30.

1348

516

4.27

931

-39.

8681

810

.274

86-3

2.61

183

171.

0970

6-3

9.90

367

18.0

0395

33.5

4120

270.

0917

257

.465

1618

.297

0133

.652

2127

6.89

577

57.4

1430

18.5

9111

33.9

7906

283.

7103

557

.365

716.

7273

3-3

2.79

764

106.

5663

4-5

6.08

368

7.02

554

-33.

4391

111

3.35

024

-56.

0477

77.

3242

5-3

4.29

168

120.

1458

6-5

6.01

450

21.5

9835

35.3

9518

342.

8574

746

.375

0221

.939

6437

.746

3134

9.66

955

46.3

9855

22.2

8696

40.2

2375

356.

4963

546

.424

352.

2350

6-1

1.27

420

26.9

5960

-23.

4758

12.

6330

7-9

.004

5233

.846

49-2

3.41

161

3.03

444

-6.9

2638

40.7

4511

-23.

3469

212

.717

3045

.341

7416

6.28

601

44.7

0133

13.0

9378

42.5

8118

173.

2477

344

.661

5813

.459

9039

.902

7918

0.22

043

44.6

1948

16.5

1006

56.1

4171

212.

3652

275

.474

2616

.671

0255

.120

5821

9.30

792

75.4

0514

16.8

3869

54.2

1518

226.

2519

175

.335

805.

7397

1-3

4.89

476

83.8

2272

-58.

7334

16.

0264

3-3

4.80

794

90.6

2607

-58.

6776

06.

3144

5-3

4.93

319

97.4

3940

-58.

6238

77.

4540

0-4

6.33

445

131.

2406

4-6

7.09

981

7.68

740

-47.

4633

313

7.95

049

-67.

0927

07.

9197

3-4

8.74

551

144.

6739

7-6

7.08

827

22.5

7192

20.7

4209

349.

0406

127

.531

7822

.966

1123

.413

6535

5.88

791

27.5

5938

23.3

6682

26.1

5881

2.74

920

27.5

8908

21.2

6910

38.8

3638

340.

1384

851

.288

4221

.591

8041

.014

1534

6.95

569

51.2

7137

21.9

1960

43.3

3070

353.

7879

951

.256

729.

4867

276

.464

0610

9.42

700

56.1

6578

10.2

8385

74.0

5703

116.

4102

156

.202

6810

.921

6071

.420

7912

3.40

793

56.2

3668

12.9

6722

-18.

1873

920

0.51

375

-10.

8823

513

.400

17-2

0.89

178

207.

3177

8-1

0.98

767

13.8

4536

-23.

4766

021

4.13

522

-11.

0937

110

.265

00-3

1.73

773

170.

5083

3-3

9.20

964

10.6

3450

-34.

3345

617

7.33

622

-39.

2502

511

.012

51-3

7.02

306

184.

1786

6-3

9.29

289

11.0

3858

-26.

1788

817

8.32

648

-29.

5977

111

.436

95-2

8.94

905

185.

1720

6-2

9.64

583

11.8

4558

-31.

7578

319

2.03

185

-29.

6957

110

.993

93-2

0.84

495

175.

0527

2-2

5.08

340

11.3

9557

-23.

6108

318

1.90

161

-25.

1311

911

.805

24-2

6.41

880

188.

7644

4-2

5.18

088

12.3

9855

-4.2

9189

187.

1996

7-1

.506

5112

.819

42-7

.082

6019

4.07

391

-1.5

6227

13.2

4586

-9.8

0184

200.

9611

7-1

.619

465.

1790

468

.340

9283

.642

5344

.693

836.

0731

168

.625

1290

.562

8144

.756

776.

9644

068

.249

9297

.498

1944

.817

5420

.205

37-6

1.61

532

289.

7960

5-3

9.99

020

20.8

8901

-59.

9269

829

6.70

840

-40.

0810

221

.518

12-5

7.88

800

303.

6347

4-4

0.16

887

18.4

0975

-1.3

7841

276.

6481

722

.401

0718

.831

78-0

.922

8828

3.50

725

22.3

5440

19.2

5290

-0.1

6428

290.

3787

822

.310

2313

.531

47-2

6.11

614

211.

1071

9-1

5.08

565

13.9

9278

-28.

6481

621

7.97

773

-15.

1553

114

.471

22-3

1.00

285

224.

8620

2-1

5.22

527

19.9

4500

10.6

6230

304.

0348

431

.137

1120

.332

6312

.175

8331

0.90

498

31.1

2746

20.7

1918

13.9

2176

317.

7880

331

.120

7213

.576

11-1

.900

0620

2.53

017

7.59

814

13.9

9941

-4.4

0880

209.

4143

57.

5497

214

.429

18-6

.755

5621

6.31

113

7.50

060

6.62

691

70.5

6476

94.5

5450

46.7

9232

7.54

767

69.7

7497

101.

4922

846

.845

118.

3959

468

.385

4010

8.44

486

46.8

9539

19.6

2391

49.0

9365

318.

5180

868

.868

6219

.843

4750

.333

6132

5.24

623

68.8

6514

20.0

6117

51.7

1515

331.

9889

768

.864

354.

7992

2-2

8.79

118

64.4

3648

-51.

0976

25.

1190

9-2

8.03

039

71.2

8676

-51.

0311

35.

4409

5-2

7.50

142

78.1

4700

-50.

9660

018

.104

1625

.632

2827

2.17

111

49.5

4426

18.4

3565

25.8

5883

279.

0765

149

.520

1118

.767

7926

.331

2228

5.99

300

49.4

9841

21.8

1344

39.2

8532

348.

9994

048

.486

9422

.150

5441

.723

5935

5.81

087

48.5

2131

22.4

9531

44.2

7454

2.63

743

48.5

5777

19.7

6585

-1.7

3615

298.

2394

719

.578

3520

.187

32-0

.346

5830

5.09

823

19.5

4687

20.6

0567

1.30

119

311.

9698

819

.518

247.

3216

1-4

2.25

869

124.

6084

5-6

3.77

309

7.57

768

-43.

3043

513

1.34

557

-63.

7572

77.

8334

7-4

4.52

111

138.

0956

5-6

3.74

417

CA

T.1

0

#B

SC

IdC

ost

No

me

Mag

9391

1α

Cet

Men

kar

2.53

9452

31ζ

Cen

Aln

air

2.55

9543

57δ

Leo

Zos

ma

2.56

9661

75ζ

Oph

Fie

ht2.

5697

1865

αLe

pA

rneb

2.58

9846

62γ

Crv

Gie

nah

2.59

9946

21δ

Cen

2.60

100

7194

ζS

grA

scel

la2.

6010

140

57γ

1Le

oA

lgie

ba2.

6110

256

85β

Lib

Zub

enel

sham

ali

2.61

103

2095

θA

urB

ogar

dus

2.62

104

5984

β1

Sco

Gra

ffias

2.62

105

553

βA

riS

hera

tan

2.64

106

1956

αC

olP

hact

2.64

107

4786

βC

rvK

raz

2.65

108

5854

αS

erU

nuka

lhai

2.65

109

403

δC

asR

ukba

h2.

6811

052

35η

Boo

Mup

hrid

2.68

111

5571

βLu

p2.

6811

215

77ι

Aur

Has

sale

h2.

6911

342

16µ

Vel

2.69

114

4798

αM

us2.

6911

565

08υ

Sco

Lesa

th2.

6911

627

73π

Pup

2.70

117

5506

εB

ooIz

ar2.

7011

868

59δ

Sgr

Nun

ki2.

7011

975

25γ

Aql

Tar

azed

2.72

120

6056

δO

phY

ed P

rior

2.74

121

6132

ηD

ra2.

7412

250

28ι

Cen

Ke

Kw

an2.

7512

355

31α

2Li

bZ

uben

elge

nubi

2.75

124

4199

θC

ar2.

7612

518

99ι

Ori

Nai

r al

Sai

f2.

7712

661

48β

Her

Kor

neph

oros

2.77

127

6603

βO

phC

elba

lrai

2.77

128

5776

γLu

p2.

7812

916

66β

Eri

Cur

sa2.

7913

065

36β

Dra

Alw

aid

2.79

131

98β

Hyi

2.80

132

4656

δC

ru2.

8013

331

85ρ

Pup

2.81

134

6212

ζH

er2.

8113

569

13λ

Sgr

Kau

s B

orea

lis2.

8113

661

65τ

Sco

Al N

iyat

2.82

137

39γ

Peg

Alg

enib

2.83

138

4932

εV

irV

inde

mia

trix

2.83

2000

a.C

.15

00 a

.C.

1000

a.C

.A

R (

h)

Dec

(º)

Lo

n (

º)L

at (

º)A

R (

h)

Dec

(º)

Lo

n (

º)L

at (

º)A

R (

h)

Dec

(º)

Lo

n (

º)L

at (

º)23

.674

26-1

6.23

236

348.

8755

5-1

2.84

731

0.09

382

-13.

4206

635

5.76

078

-12.

8214

00.

5098

0-1

0.62

141

2.65

854

-12.

7933

510

.460

16-2

5.55

300

169.

8480

2-3

2.53

486

10.8

4478

-28.

2088

317

6.68

429

-32.

5794

311

.236

96-3

0.94

505

183.

5347

3-3

2.62

605

7.27

186

37.0

6870

105.

6054

714

.192

697.

8198

635

.943

8711

2.52

142

14.2

2019

8.35

407

34.4

6503

119.

4506

814

.244

9013

.154

515.

3387

219

3.78

356

11.8

4343

13.5

6811

2.69

521

200.

6692

211

.789

9813

.985

310.

1787

220

7.56

729

11.7

3541

2.67

639

-28.

3088

725

.883

93-4

1.58

024

3.02

849

-26.

2358

232

.782

86-4

1.51

594

3.38

154

-24.

3516

939

.692

19-4

1.45

111

8.92

643

2.71

428

135.

6454

4-1

4.39

490

9.34

681

0.64

780

142.

4829

7-1

4.39

866

9.76

357

-1.6

1203

149.

3335

7-1

4.40

521

9.16

052

-30.

3007

515

2.59

697

-44.

2785

59.

5044

8-3

2.46

538

159.

4058

7-4

4.29

911

9.85

199

-34.

7810

616

6.22

892

-44.

3221

914

.908

74-2

3.97

877

228.

2554

7-6

.650

6015

.390

93-2

5.89

561

235.

1300

3-6

.719

5115

.887

02-2

7.52

919

242.

0179

3-6

.787

836.

2968

432

.405

0193

.800

388.

5408

96.

8356

031

.981

1610

0.72

911

8.58

436

7.36

890

31.1

6957

107.

6711

68.

6252

811

.878

9710

.571

5517

4.02

321

8.92

096

12.2

9540

7.74

775

180.

8960

68.

8738

712

.710

894.

9525

418

7.78

152

8.82

484

1.80

788

25.7

4650

34.5

2228

13.3

3068

2.27

537

28.1

6808

41.4

0040

13.3

8647

2.75

971

30.3

8795

48.2

9219

13.4

4236

12.5

1560

-1.7

9386

187.

7986

11.

4859

612

.935

52-4

.569

4119

4.67

577

1.43

022

13.3

6033

-7.2

6449

201.

5658

21.

3730

922

.473

67-0

.758

1633

8.60

199

8.37

536

22.8

9193

1.88

446

345.

4749

78.

3813

423

.309

444.

6107

435

2.36

119

8.38

979

3.31

402

-42.

6503

726

.590

94-5

7.86

787

3.59

994

-40.

9086

033

.507

25-5

7.80

719

3.88

766

-39.

3412

540

.431

86-5

7.74

600

9.25

056

-2.4

9588

142.

1211

0-1

7.87

183

9.66

131

-4.7

2379

148.

9788

2-1

7.88

410

10.0

7015

-7.1

2156

155.

8497

7-1

7.89

915

12.5

2565

24.9

0784

176.

3659

925

.812

7712

.929

6122

.137

6318

3.28

667

25.7

8062

13.3

2936

19.4

4385

190.

2192

325

.746

5522

.104

5538

.624

0335

2.79

301

46.1

7177

22.4

5586

41.1

5915

359.

6300

946

.194

4722

.816

6943

.793

456.

4823

046

.219

1610

.546

3340

.472

9214

3.55

842

28.6

0276

11.0

1160

37.7

4261

150.

4863

028

.546

5911

.457

3634

.930

8515

7.42

652

28.4

8757

11.2

8813

-22.

2747

617

9.80

979

-24.

5832

511

.694

89-2

5.07

857

186.

6609

9-2

4.63

588

12.1

1133

-27.

9014

619

3.52

618

-24.

6902

21.

0412

817

.647

3521

.281

099.

9660

71.

4803

820

.316

5828

.152

1110

.025

331.

9317

022

.856

8035

.036

5810

.085

338.

1405

2-3

2.16

121

135.

6666

8-5

1.01

955

8.45

856

-33.

7652

314

2.47

285

-51.

0185

58.

7777

3-3

5.55

484

149.

2925

8-5

1.02

035

9.72

536

-47.

8674

417

5.54

921

-56.

1476

710

.028

60-5

0.26

883

182.

3439

8-5

6.19

318

10.3

3922

-52.

7775

118

9.15

477

-56.

2404

913

.416

67-2

3.68

269

208.

6482

4-1

3.44

793

13.8

7116

-26.

2533

421

5.51

934

-13.

5175

014

.341

35-2

8.65

883

222.

4041

0-1

3.58

745

4.96

656

-36.

4310

365

.316

36-5

9.00

786

5.25

088

-35.

7777

172

.155

44-5

8.94

205

5.53

725

-35.

3320

379

.003

46-5

8.87

762

11.6

8390

47.7

3182

152.

3673

540

.834

8212

.106

8044

.912

7715

9.29

225

40.8

1730

12.5

1101

42.1

0681

166.

2289

940

.797

1314

.308

03-2

0.41

264

219.

1611

7-5

.905

4614

.772

07-2

2.64

018

226.

0404

9-5

.977

6015

.249

73-2

4.63

309

232.

9331

1-6

.049

6016

.612

559.

5793

824

5.67

553

31.7

2855

17.0

0189

8.71

046

252.

5413

031

.662

3617

.393

978.

1216

625

9.41

854

31.5

9759

12.9

0435

13.5

5126

186.

8431

917

.857

6313

.310

0510

.827

2419

3.73

159

17.7

8481

13.7

1634

8.20

846

200.

6320

917

.710

5516

.127

3072

.003

9813

6.81

369

78.4

9128

16.0

5696

70.6

5498

143.

9900

178

.495

6516

.027

4769

.277

1615

1.17

679

78.4

9686

10.0

1028

-14.

9794

115

8.22

946

-25.

5452

010

.400

87-1

7.51

031

165.

0424

2-2

5.59

640

10.7

9431

-20.

1534

617

1.86

896

-25.

6499

511

.396

974.

8466

316

9.77

725

0.78

510

11.8

1516

2.03

010

176.

6436

40.

7352

512

.233

28-0

.796

3818

3.52

293

0.68

330

8.54

601

-46.

4649

915

4.74

775

-61.

9097

88.

8074

6-4

8.28

552

161.

4964

2-6

1.93

051

9.06

958

-50.

2460

516

8.26

048

-61.

9536

32.

4284

9-1

6.87

919

27.5

4953

-29.

7248

82.

8127

9-1

4.69

387

34.4

3920

-29.

6600

03.

1994

7-1

2.70

338

41.3

4019

-29.

5946

813

.682

5736

.649

6518

5.55

920

43.1

8545

14.0

3696

34.1

5541

192.

4623

243

.129

5014

.388

3231

.797

4219

9.37

599

43.0

7205

14.5

2758

14.7

6908

209.

9606

728

.292

5214

.915

7012

.654

5821

6.84

099

28.2

4868

15.3

0658

10.7

4255

223.

7327

428

.204

5211

.790

45-2

1.41

804

186.

2271

3-2

0.76

256

12.2

0831

-24.

2454

619

3.08

565

-20.

8184

912

.637

24-2

7.05

068

199.

9580

5-2

0.87

587

1.95

993

-18.

1496

819

.923

23-2

8.28

777

2.34

663

-15.

7770

726

.800

54-2

8.23

651

2.73

471

-13.

5730

933

.689

32-2

8.18

445

16.1

6551

59.1

7838

195.

8283

975

.755

9916

.307

8457

.921

9720

2.83

914

75.6

9906

16.4

5949

56.7

6591

209.

8511

875

.641

0611

.931

39-7

8.82

995

243.

8593

1-6

3.91

979

12.3

8778

-81.

7328

825

0.92

972

-64.

0351

113

.101

82-8

4.58

248

258.

0195

3-6

4.14

863

9.35

095

-38.

0336

316

0.84

532

-50.

1184

69.

6758

2-4

0.28

197

167.

6436

1-5

0.14

858

10.0

0570

-42.

6642

217

4.45

671

-50.

1810

15.

3061

4-2

0.29

851

76.4

4041

-43.

7242

65.

6550

0-1

9.91

303

83.2

6800

-43.

6606

06.

0054

7-1

9.78

454

90.1

0662

-43.

5987

714

.205

0844

.801

7418

6.54

489

53.2

4001

14.5

1606

42.5

6688

193.

3766

953

.227

0014

.825

0740

.475

1520

0.21

743

53.2

1284

14.5

3262

-16.

7508

122

0.98

265

-1.4

0006

14.9

8973

-18.

8904

922

7.85

212

-1.4

9342

15.4

5860

-20.

7860

623

4.73

461

-1.5

8661

12.8

3571

-11.

6038

219

6.09

545

-5.6

0344

13.2

6540

-14.

3243

520

2.96

770

-5.6

6539

13.7

0434

-16.

9358

020

9.85

318

-5.7

2834

20.8

5207

-4.9

5136

313.

8904

512

.569

9221

.279

12-2

.922

1232

0.75

110

12.5

6395

21.7

0189

-0.6

9157

327.

6248

412

.560

839.

5302

832

.277

9613

4.69

000

16.3

5513

10.0

0805

29.9

2254

141.

5500

216

.345

9410

.470

0627

.399

4214

8.42

287

16.3

3392

CA

T.1

1

#B

SC

IdC

ost

No

me

Mag

139

1829

βLe

pN

ihal

2.84

140

1203

ζP

erM

enkh

ib2.

8514

158

97β

TrA

2.85

142

6461

βA

ra2.

8514

359

1α

Hyi

Hea

d of

Hyd

rus

2.86

144

8502

αT

uc2.

8614

511

65η

Tau

Alc

yone

2.87

146

7528

δC

yg2.

8714

783

22δ

Cap

Den

eb A

lgie

di2.

8714

822

86µ

Gem

Tej

at P

oste

rior

2.88

149

1220

εP

er2.

8915

056

71γ

TrA

2.89

151

5944

πS

co2.

8915

260

84σ

Sco

Al N

iyat

2.89

153

7264

πS

grA

lbal

dah

2.89

154

2845

βC

Mi

Gom

eisa

2.90

155

4915

α2

CV

nC

or C

arol

i2.

9015

682

32β

Aqr

Sad

alsu

ud2.

9115

791

5γ

Per

2.93

158

2553

τP

up2.

9315

986

50η

Peg

Mat

ar2.

9416

012

31γ

Eri

Zau

rak

2.95

161

4757

δC

rvA

lgor

ab2.

9516

265

10α

Ara

Cho

o2.

9516

384

14α

Aqr

Sad

alm

elik

2.96

164

2473

εG

emM

ebsu

ta2.

9816

538

73ε

Leo

Ras

Ela

sed

Aus

tr.

2.98

166

1605

εA

urM

aaz

2.99

167

6746

γ2

Sgr

Nas

h2.

9916

872

35ζ

Aql

Den

eb e

l Oka

b2.

9916

962

2β

Tri

3.00

170

1910

ζT

au3.

0017

146

30ε

Crv

Min

kar

3.00

172

5020

γH

ya3.

0017

311

22δ

Per

3.01

2000

a.C

.15

00 a

.C.

1000

a.C

.A

R (

h)

Dec

(º)

Lo

n (

º)L

at (

º)A

R (

h)

Dec

(º)

Lo

n (

º)L

at (

º)A

R (

h)

Dec

(º)

Lo

n (

º)L

at (

º)2.

6786

0-3

1.33

419

24.1

6778

-44.

3328

73.

0222

2-2

9.27

218

31.0

6855

-44.

2818

93.

3663

8-2

7.39

438

37.9

7948

-44.

2302

80.

1766

413

.099

587.

7879

310

.889

350.

5996

815

.907

7014

.656

1510

.940

831.

0312

718

.661

4521

.537

8310

.993

7011

.636

38-4

3.40

151

196.

5924

8-4

1.00

150

12.0

4407

-46.

2727

420

3.44

350

-41.

1169

612

.474

56-4

9.13

502

210.

3097

1-4

1.23

341

12.8

2011

-40.

3236

820

8.88

189

-31.

7111

113

.283

56-4

3.04

424

215.

7441

8-3

1.77

987

13.7

7409

-45.

6435

922

2.62

120

-31.

8490

123

.267

87-8

3.14

300

285.

4726

6-6

3.93

848

23.8

4391

-80.

3302

329

2.49

892

-63.

9867

80.

2561

0-7

7.50

388

299.

5408

4-6

4.03

217

15.9

9469

-67.

1793

525

4.05

897

-44.

9453

816

.832

71-6

8.32

145

260.

9556

3-4

5.00

950

17.7

2152

-68.

8547

126

7.86

768

-45.

0718

30.

1823

55.

2216

34.

6179

73.

6647

00.

6028

78.

0248

111

.492

193.

7084

11.

0288

310

.773

8818

.379

533.

7536

517

.680

0341

.001

6926

1.47

746

64.7

8097

17.9

3563

40.8

6293

268.

2895

164

.727

6318

.192

6740

.914

0927

5.11

051

64.6

7631

17.8

5102

-25.

7540

026

7.98

638

-1.8

4594

18.3

6125

-25.

7259

027

4.88

310

-1.9

4876

18.8

7061

-25.

3224

828

1.79

301

-2.0

4931

2.51

699

13.8

9498

39.8

5400

-1.2

3306

2.96

893

16.0

0956

46.7

3810

-1.1

8007

3.43

142

17.8

8337

53.6

3512

-1.1

2724

0.10

653

21.2

1579

10.3

6943

18.6

7792

0.53

130

24.0

2674

17.2

3281

18.7

2889

0.96

803

26.7

8847

24.1

1004

18.7

8113

11.1

5364

-47.

9197

619

4.27

590

-47.

5754

211

.533

76-5

0.70

546

201.

1084

3-4

7.63

840

11.9

3562

-53.

5209

020

7.95

676

-47.

7024

612

.327

58-7

.632

2718

7.58

298

-4.9

8967

12.7

4968

-10.

4314

019

4.45

481

-5.0

4632

13.1

7847

-13.

1643

420

1.33

982

-5.1

0437

12.6

6506

-8.2

5131

192.

4342

4-3

.535

2213

.090

23-1

1.00

359

199.

3073

3-3

.594

7113

.523

02-1

3.66

187

206.

1935

3-3

.655

3715

.259

63-1

6.40

970

230.

8722

71.

9990

815

.723

92-1

8.13

842

237.

7478

51.

9255

516

.198

21-1

9.57

761

244.

6363

31.

8527

33.

8515

66.

2799

256

.895

42-1

3.94

584

4.28

938

7.63

932

63.7

6247

-13.

8842

74.

7331

28.

7034

170

.641

85-1

3.82

371

9.10

816

59.3

0342

119.

0072

040

.077

679.

7133

957

.107

8912

5.90

466

40.0

9307

10.2

6878

54.6

7561

132.

8154

440

.105

6017

.867

15-1

4.92

749

268.

0506

28.

9827

418

.335

40-1

4.85

466

274.

9222

88.

9284

618

.803

28-1

4.43

788

281.

8066

88.

8764

623

.253

1932

.734

604.

8426

734

.094

4923

.653

0235

.528

9211

.687

1034

.144

490.

0669

738

.345

2618

.546

1134

.195

995.

2062

2-5

0.49

268

62.8

6660

-73.

2736

25.

4025

4-4

9.98

806

69.7

0496

-73.

2164

15.

6018

6-4

9.62

914

76.5

4768

-73.

1603

519

.697

3014

.022

6130

0.69

829

35.2

2013

20.0

7192

15.3

5639

307.

5280

335

.196

3420

.445

9616

.924

3931

4.37

062

35.1

7539

0.89

855

-30.

9770

035

8.20

995

-33.

4707

01.

2872

5-2

8.28

098

5.12

572

-33.

4428

11.

6710

9-2

5.68

402

12.0

5293

-33.

4130

79.

1425

54.

3403

213

8.32

215

-11.

8810

99.

5656

62.

1451

914

5.16

595

-11.

9111

59.

9847

5-0

.230

1915

2.02

280

-11.

9439

713

.086

80-3

5.46

600

209.

6108

2-2

5.95

460

13.5

5201

-38.

1312

221

6.47

435

-26.

0299

914

.040

56-4

0.65

253

223.

3522

4-2

6.10

572

18.5

5266

-12.

1291

327

8.27

232

11.5

5248

19.0

0951

-11.

5577

728

5.13

985

11.5

0668

19.4

6380

-10.

6629

029

2.02

015

11.4

6342

2.76

631

18.0

0949

44.5

5469

1.55

263

3.23

018

20.0

0553

51.4

3028

1.61

953

3.70

580

21.7

3864

58.3

1895

1.68

602

5.62

984

33.2

0385

85.2

9331

9.37

231

6.17

084

33.2

7412

92.1

7156

9.42

324

6.71

133

32.9

4611

99.0

6315

9.47

198

0.87

396

28.0

8119

23.5

0997

20.4

3412

1.32

212

30.7

8873

30.3

7566

20.4

9650

1.78

790

33.3

7686

37.2

5537

20.5

5952

14.0

8544

-19.

6392

521

5.93

090

-6.2

5211

14.5

4317

-21.

9827

622

2.79

902

-6.3

4531

15.0

1446

-24.

1108

622

9.68

044

-6.4

3851

16.0

6870

16.4

4926

234.

5380

736

.805

5116

.438

4915

.190

2724

1.40

488

36.7

2421

16.8

1118

14.1

8456

248.

2826

536

.643

7822

.662

2513

.431

1834

7.00

394

20.3

4386

23.0

6693

16.1

2658

353.

8728

320

.366

3823

.476

0318

.889

930.

7554

020

.391

121.

8820

58.

9616

129

.394

40-2

.699

122.

3177

811

.366

8136

.271

57-2

.636

592.

7626

213

.582

4643

.161

59-2

.573

708.

8799

8-2

.504

2513

6.54

419

-19.

5891

29.

2893

8-4

.544

2114

3.38

638

-19.

5901

79.

6965

2-6

.776

5215

0.24

174

-19.

5940

39.

9257

0-1

.521

2615

1.66

883

-13.

5178

110

.340

01-4

.020

5415

8.53

933

-13.

5372

410

.753

17-6

.644

0816

5.42

309

-13.

5593

023

.790

7428

.242

569.

5382

126

.879

210.

2090

431

.062

3816

.394

5226

.928

280.

6417

333

.859

7823

.265

0926

.978

65

CA

T.1

2

#B

SC

IdC

ost

No

me

Mag

124

91α

CM

aS

irius

-1.4

62

2326

αC

arC

anop

us-0

.72

353

40α

Boo

Arc

turu

s-0

.04

454

59α

1C

enR

igel

Ken

taur

us-0

.01

570

01α

Lyr

Veg

a0.

036

1708

αA

urC

apel

la0.

087

1713

βO

riR

igel

0.12

829

43α

CM

iP

rocy

on0.

389

472

αE

riA

cher

nar

0.46

1020

61α

Ori

Bet

elge

use

0.50

1152

67β

Cen

Had

ar0.

6112

7557

αA

qlA

ltair

0.77

1314

57α

Tau

Ald

ebar

an0.

8514

6134

αS

coA

ntar

es0.

9615

5056

αV

irS

pica

0.98

1629

90β

Gem

Pol

lux

1.14

1787

28α

PsA

Fom

alha

ut1.

1618

4853

βC

ruM

imos

a1.

2519

7924

αC

ygD

eneb

1.25

2047

30α

1C

ruA

crux

1.33

2154

60α

2C

enP

roxi

ma

1.33

2239

82α

Leo

Reg

ulus

1.35

2326

18ε

CM

aA

dhar

a1.

5024

4763

γC

ruG

acru

x1.

6325

6527

λS

coS

haul

a1.

6326

1790

γO

riB

ella

trix

1.64

2717

91β

Tau

Eln

ath

1.65

2836

85β

Car

Mia

plac

idus

1.68

2919

03ε

Ori

Aln

ilam

1.70

3084

25α

Gru

Aln

air

1.74

3149

05ε

UM

aA

lioth

1.77

3232

07γ

2V

elR

egor

1.78

3310

17α

Per

Mirf

ak1.

7934

4301

αU

Ma

Dub

he1.

7935

2693

δC

Ma

Wez

en1.

8436

6879

εS

grK

aus

Aus

tral

is1.

8537

3307

εC

arA

vior

1.86

3851

91η

UM

aA

lkai

d1.

8639

6553

θS

coS

arga

s1.

8740

2088

βA

urM

enka

linan

1.90

4162

17α

TrA

Atr

ia1.

9242

2421

γG

emA

lhen

a1.

9343

7790

αP

avP

eaco

ck1.

9444

3485

δV

el1.

9645

2294

βC

Ma

Mirz

am1.

9846

2891

αG

emC

asto

r1.

98

500

a.C

.10

0 a

.C.

1 d

.C.

AR

(h

)D

ec (

º)L

on

(º)

Lat

(º)

AR

(h

)D

ec (

º)L

on

(º)

Lat

(º)

AR

(h

)D

ec (

º)L

on

(º)

Lat

(º)

4.91

687

-16.

4566

069

.783

30-3

9.06

424

5.20

973

-16.

0527

075

.252

96-3

9.14

831

5.28

306

-15.

9779

876

.621

54-3

9.16

947

5.49

363

-52.

9257

670

.540

22-7

6.16

128

5.63

460

-52.

6669

776

.041

63-7

6.10

550

5.67

016

-52.

6152

777

.417

37-7

6.09

164

12.3

4354

33.5

6151

169.

4746

732

.421

3812

.657

5931

.123

4017

5.01

642

32.1

5602

12.7

3533

30.5

1857

176.

4031

232

.089

4112

.190

52-4

8.49

088

206.

6306

6-4

2.22

870

12.5

2630

-50.

6348

821

1.87

069

-42.

2876

612

.612

91-5

1.16

663

213.

1817

3-4

2.30

240

17.2

2074

38.9

1744

250.

4661

061

.872

5417

.441

6038

.551

2125

6.02

766

61.8

4823

17.4

9700

38.4

8001

257.

4189

961

.842

252.

4264

538

.857

3847

.147

6122

.835

782.

8442

540

.546

4752

.676

7122

.840

072.

9511

840

.942

7754

.060

5422

.841

173.

2786

4-1

4.31

278

42.0

6198

-31.

4434

93.

5872

9-1

2.91

349

47.6

0519

-31.

3926

43.

6647

8-1

2.58

659

48.9

9226

-31.

3798

85.

4473

87.

9713

581

.477

77-1

5.53

618

5.80

196

8.06

437

86.9

4598

-15.

6108

65.

8907

08.

0553

888

.314

37-1

5.62

968

23.8

5906

-70.

7794

931

0.04

090

-59.

2450

00.

1944

5-6

8.53

535

315.

6602

6-5

9.27

124

0.27

336

-67.

9757

431

7.06

665

-59.

2775

13.

7081

73.

1459

054

.013

52-1

6.36

435

4.05

372

4.33

147

59.5

5092

-16.

3098

64.

1407

04.

6001

360

.936

63-1

6.29

625

11.6

5700

-46.

8876

519

9.27

078

-43.

8562

811

.986

07-4

9.13

462

204.

7678

2-4

3.89

910

12.0

7072

-49.

6965

820

6.14

374

-43.

9099

517

.806

265.

6854

426

6.68

013

29.4

0707

18.1

3276

5.69

596

272.

2743

229

.387

1218

.214

485.

7290

127

3.67

422

29.3

8232

2.30

786

8.05

994

35.0

3593

-5.6

3904

2.65

990

9.82

905

40.5

7435

-5.6

1275

2.74

876

10.2

5061

41.9

6036

-5.6

0609

14.0

8019

-17.

3684

821

5.05

657

-4.2

4618

14.4

4482

-19.

2352

022

0.58

659

-4.2

9695

14.5

3719

-19.

6819

722

1.97

055

-4.3

0972

11.2

8657

2.60

661

169.

1518

7-1

.896

8911

.623

870.

3789

617

4.67

963

-1.9

1808

11.7

0817

-0.1

8113

176.

0630

1-1

.923

625.

1483

229

.734

4978

.857

816.

4780

35.

5658

730

.090

9984

.331

966.

5133

65.

6707

130

.142

3985

.701

966.

5220

620

.445

55-4

0.89

769

298.

8831

7-2

0.79

641

20.8

8217

-39.

4771

430

4.45

619

-20.

8554

220

.989

20-3

9.09

241

305.

8509

4-2

0.86

990

10.7

4330

-45.

8978

418

7.22

287

-48.

4034

511

.034

01-4

8.05

260

192.

7041

4-4

8.43

818

11.1

0819

-48.

5979

819

4.07

611

-48.

4470

519

.281

4138

.378

4330

1.12

470

60.0

4742

19.5

0601

39.1

8069

306.

5768

460

.020

4319

.562

2039

.400

2430

7.94

117

60.0

1395

10.5

0698

-49.

4114

318

7.48

469

-52.

6472

510

.780

73-5

1.52

024

192.

9593

2-5

2.68

135

10.8

5055

-52.

0553

119

4.32

967

-52.

6900

712

.190

88-4

8.49

316

206.

6364

5-4

2.22

864

12.5

2660

-50.

6367

121

1.87

528

-42.

2876

512

.613

20-5

1.16

834

213.

1860

4-4

2.30

241

7.82

330

21.7

0800

115.

2673

90.

3498

88.

2085

020

.572

4412

0.77

465

0.37

256

8.30

396

20.2

5896

122.

1529

00.

3779

85.

3538

7-2

8.38

861

76.1

8256

-51.

6743

75.

6112

1-2

8.08

456

81.6

9791

-51.

6218

75.

6757

2-2

8.03

213

83.0

7787

-51.

6088

610

.528

28-4

3.22

563

182.

1405

3-4

7.49

041

10.8

1575

-45.

3695

818

7.65

128

-47.

5422

510

.888

85-4

5.91

358

189.

0305

4-4

7.55

538

14.8

7502

-30.

8179

322

9.87

547

-13.

4391

015

.278

48-3

2.37

815

235.

4054

3-1

3.49

519

15.3

8113

-32.

7402

423

6.78

942

-13.

5092

13.

2403

70.

4753

946

.217

49-1

7.13

308

3.57

977

1.88

357

51.7

5308

-17.

0824

73.

6652

22.

2104

953

.138

32-1

7.06

979

2.91

591

22.3

3896

47.8

5430

5.17

943

3.29

988

23.8

6429

53.3

8660

5.21

235

3.39

720

24.2

1883

54.7

7114

5.22

060

8.54

929

-60.

1337

717

8.39

199

-72.

0405

78.

6767

7-6

1.54

596

183.

7338

6-7

2.06

872

8.70

778

-61.

9074

818

5.07

120

-72.

0759

53.

5309

5-6

.294

8848

.724

35-2

4.83

355

3.85

579

-5.0

1873

54.2

6229

-24.

7811

13.

9374

5-4

.724

9955

.648

07-2

4.76

799

19.1

0712

-55.

6713

928

1.02

431

-32.

5577

119

.647

16-5

4.89

704

286.

5809

5-3

2.61

853

19.7

7947

-54.

6581

928

7.97

167

-32.

6335

110

.659

1469

.746

8612

3.72

842

54.1

6741

11.1

0805

67.5

9391

129.

3367

954

.196

4311

.212

2667

.045

7713

0.74

046

54.2

0340

6.87

486

-41.

9608

911

3.22

228

-64.

6485

97.

0801

9-4

2.52

936

118.

6636

9-6

4.61

495

7.13

156

-42.

6895

312

0.02

525

-64.

6067

80.

8084

338

.073

2427

.448

2929

.854

691.

1770

240

.242

8332

.964

4729

.896

381.

2715

240

.775

1134

.345

1029

.906

917.

4968

672

.452

9010

0.21

306

49.5

0304

8.23

860

71.3

8653

105.

7845

049

.535

248.

4131

071

.063

1210

7.17

902

49.5

4307

5.45

832

-25.

3249

178

.825

17-4

8.76

173

5.72

521

-25.

0847

384

.338

42-4

8.70

994

5.79

210

-25.

0491

985

.717

89-4

8.69

713

15.7

0226

-30.

8717

124

0.38

095

-10.

6364

316

.117

07-3

2.05

378

245.

9091

0-1

0.70

395

16.2

2222

-32.

3158

024

7.29

263

-10.

7207

97.

4618

2-5

2.77

579

139.

5115

4-7

2.72

076

7.61

424

-53.

6558

514

4.86

711

-72.

7099

67.

6520

7-5

3.88

843

146.

2074

4-7

2.70

752

11.9

8534

62.7

7087

141.

8194

854

.403

6812

.310

4060

.524

7314

7.41

562

54.4

0604

12.3

8849

59.9

6549

148.

8160

954

.406

3314

.802

95-3

6.70

381

230.

8836

0-1

9.31

404

15.2

2165

-38.

2886

323

6.41

395

-19.

3672

815

.328

54-3

8.65

619

237.

7980

8-1

9.38

059

3.08

305

39.7

3066

55.2

2377

21.1

7690

3.51

690

41.1

8930

60.7

4924

21.2

3055

3.62

770

41.5

2233

62.1

3215

21.2

4395

13.3

0797

-59.

2017

322

6.22

573

-45.

8024

613

.746

92-6

1.27

584

231.

7455

7-4

5.85

818

13.8

6268

-61.

7767

423

3.12

725

-45.

8721

44.

2457

014

.371

0264

.361

52-7

.043

434.

6194

815

.264

2269

.898

39-6

.993

924.

7136

015

.455

3671

.284

01-6

.981

6116

.838

86-5

8.98

744

259.

0244

1-3

5.90

218

17.4

2081

-59.

5046

626

4.56

571

-35.

9631

517

.568

19-5

9.58

110

265.

9526

5-3

5.97

825

7.57

954

-47.

1798

413

4.88

823

-67.

2308

77.

7680

5-4

8.14

158

140.

3155

0-6

7.22

099

7.81

508

-48.

3973

914

1.67

370

-67.

2187

94.

5637

6-1

9.88

771

62.5

0662

-41.

5827

94.

8506

7-1

9.14

150

68.0

3711

-41.

5288

94.

9226

4-1

8.98

019

69.4

2092

-41.

5154

84.

8700

332

.767

8075

.592

369.

8668

95.

3007

033

.286

2581

.112

769.

9057

25.

4090

833

.377

0482

.494

359.

9153

2

CA

T.1

3

#B

SC

IdC

ost

No

me

Mag

4737

48α

Hya

Alp

hard

1.98

4861

7α

Ari

Ham

al2.

0049

5958

TC

rB2.

0050

424

αU

Mi

Pol

aris

2.02

5171

21σ

Sgr

Nun

ki2.

0252

188

βC

etD

iphd

a2.

0453

1948

ζO

riA

lnita

k2.

0554

15α

And

Alp

hera

tz2.

0655

337

βA

ndM

irach

2.06

5620

04κ

Ori

Sai

ph2.

0657

5288

θC

enM

enke

nt2.

0658

5563

βU

Mi

Koc

hab

2.08

5965

56α

Oph

Ras

alha

gue

2.08

6086

36β

Gru

2.10

6193

6β

Per

Alg

ol2.

1262

4534

βLe

oD

eneb

ola

2.14

6348

19γ

Cen

Muh

lifai

n2.

1764

7796

γC

ygS

adr

2.20

6536

34λ

Vel

Suh

ail

2.21

6616

8α

Cas

Sch

edar

2.23

6718

52δ

Ori

Min

taka

2.23

6857

93α

CrB

Alp

hecc

a2.

2369

6705

γD

raE

ltani

n2.

2370

3165

ζP

upN

aos

2.25

7136

99ι

Car

Asp

idis

ke2.

2572

603

γ1

And

Alm

aak

2.26

7321

βC

asC

aph

2.27

7450

54ζ

UM

aM

izar

2.27

7562

41ε

Sco

2.29

7651

32ε

Cen

2.30

7754

69α

Lup

2.30

7854

40η

Cen

2.31

7959

53δ

Sco

Dsc

hubb

a2.

3280

4295

βU

Ma

Mer

ak2.

3781

99α

Phe

Ank

aa2.

3982

8308

εP

egE

nif

2.39

8365

80κ

Sco

2.41

8487

75β

Peg

Sch

eat

2.42

8563

78η

Oph

Sab

ik2.

4386

4554

γU

Ma

Pha

d2.

4487

8162

αC

epA

lder

amin

2.44

8828

27η

CM

aA

ludr

a2.

4589

7949

εC

ygG

iena

h C

ygni

2.46

9026

4γ

Cas

Tsi

h2.

4791

8781

αP

egM

arka

b2.

4992

3734

κV

elM

arka

b2.

50

500

a.C

.10

0 a

.C.

1 d

.C.

AR

(h

)D

ec (

º)L

on

(º)

Lat

(º)

AR

(h

)D

ec (

º)L

on

(º)

Lat

(º)

AR

(h

)D

ec (

º)L

on

(º)

Lat

(º)

7.39

121

-0.4

7822

112.

6927

6-2

2.58

393

7.72

590

-1.3

6674

118.

2047

3-2

2.54

743

7.80

937

-1.6

1657

119.

5841

1-2

2.53

855

23.9

0877

10.2

2963

2.91

110

9.90

496

0.24

782

12.4

6154

8.44

813

9.91

124

0.33

318

13.0

1763

9.83

386

9.91

303

14.2

6307

35.3

9143

195.

1692

945

.517

9114

.539

5833

.574

8920

0.74

002

45.4

8159

14.6

0857

33.1

3651

202.

1338

945

.472

3523

.012

0975

.518

5753

.898

1765

.777

2723

.203

6077

.703

9059

.412

2965

.829

6723

.252

7678

.253

6060

.792

8865

.842

7616

.350

49-2

4.91

964

247.

6583

4-3

.087

1416

.753

44-2

5.75

752

253.

1918

1-3

.146

6716

.855

07-2

5.93

193

254.

5766

3-3

.161

4822

.544

79-3

1.75

004

327.

5787

1-2

0.74

814

22.9

1282

-29.

6226

433

3.15

726

-20.

7587

023

.003

34-2

9.08

105

334.

5533

2-2

0.76

104

3.61

626

-6.7

6328

49.9

4304

-25.

6212

33.

9398

5-5

.528

4255

.480

88-2

5.56

857

4.02

118

-5.2

4524

56.8

6664

-25.

5554

022

.093

1115

.767

3633

9.71

876

25.7

4122

22.4

1106

17.7

6492

345.

2296

425

.727

1522

.490

8518

.276

2234

6.60

884

25.7

2389

23.0

1442

21.8

9678

355.

7626

625

.894

3823

.339

0524

.079

771.

2814

625

.898

4823

.420

9824

.630

782.

6626

825

.899

743.

8506

8-1

3.88

952

51.6

6126

-33.

3996

74.

1569

8-1

2.76

776

57.1

9982

-33.

3467

04.

2338

8-1

2.51

229

58.5

8572

-33.

3334

611

.871

95-2

2.66

663

187.

8366

8-2

1.41

841

12.2

0602

-24.

9684

019

3.32

867

-21.

5213

712

.290

61-2

5.54

231

194.

7031

5-2

1.54

729

16.7

0639

82.9

4523

97.9

0794

72.7

4776

16.0

0959

82.0

0137

103.

5401

072

.789

9715

.869

4881

.713

2510

4.95

028

72.8

0030

15.6

8234

17.6

0303

227.

5829

136

.315

4115

.981

3116

.367

1323

3.14

258

36.2

3853

16.0

5636

16.0

8198

234.

5337

136

.219

3019

.789

51-5

7.31

843

287.

3580

6-3

5.19

000

20.3

2396

-56.

1686

829

2.92

873

-35.

2329

720

.453

64-5

5.84

068

294.

3229

6-3

5.24

347

0.69

741

28.8

2126

21.5

2406

22.1

5735

1.05

408

31.0

0989

27.0

4278

22.1

9865

1.14

492

31.5

4825

28.4

2399

22.2

0912

9.59

332

27.6

8831

137.

1061

212

.422

609.

9679

025

.793

1014

2.60

551

12.4

0225

10.0

6019

25.3

0188

143.

9817

912

.396

8910

.644

26-3

5.20

133

177.

9295

9-3

9.94

148

10.9

4606

-37.

3388

218

3.40

665

-39.

9733

411

.022

57-3

7.88

076

184.

7774

8-3

9.98

152

18.8

8605

34.5

1970

290.

5362

357

.319

4419

.122

5135

.103

8229

6.00

552

57.2

8413

19.1

8169

35.2

7061

297.

3740

857

.275

547.

6234

2-3

5.34

964

126.

9539

5-5

5.98

387

7.86

314

-36.

3392

213

2.40

986

-55.

9612

77.

9231

4-3

6.60

599

133.

7751

9-5

5.95

589

22.6

4260

42.8

0876

3.33

854

46.4

5234

22.9

3502

44.9

4061

8.82

379

46.4

7625

23.0

0944

45.4

8099

10.1

9673

46.4

8243

3.43

996

-5.0

6405

47.6

5604

-23.

2818

83.

7676

8-3

.744

8953

.194

02-2

3.22

967

3.85

008

-3.4

4023

54.5

7983

-23.

2166

013

.818

8737

.329

0018

7.20

463

44.5

7514

14.1

0262

35.3

5926

192.

8005

644

.538

1214

.173

2334

.880

5419

4.20

076

44.5

2866

17.0

1225

53.4

3131

233.

1980

175

.266

3617

.154

8352

.895

1923

8.75

691

75.2

1082

17.1

9094

52.7

7410

240.

1469

575

.196

956.

6035

5-3

5.26

986

104.

2634

7-5

8.57

226

6.83

548

-35.

6901

110

9.73

090

-58.

5325

36.

8935

4-3

5.81

594

111.

0989

4-5

8.52

283

8.15

086

-50.

1748

315

1.41

189

-67.

0865

08.

3348

1-5

1.41

976

156.

8131

2-6

7.08

699

8.38

066

-51.

7446

115

8.16

499

-67.

0873

723

.776

5228

.947

959.

6251

027

.620

800.

1126

231

.189

6915

.136

7227

.647

570.

1980

131

.749

3416

.516

1627

.654

4522

.254

4745

.770

410.

6360

651

.244

4122

.529

1247

.799

566.

1262

851

.236

1922

.598

9248

.316

407.

5005

051

.234

3511

.452

8868

.667

0913

0.42

054

56.2

6774

11.8

2547

66.4

2694

136.

0415

756

.290

4711

.913

0665

.865

1013

7.44

836

56.2

9586

14.3

0462

-25.

9036

722

0.96

667

-11.

2003

514

.683

13-2

7.70

524

226.

4422

7-1

1.28

603

14.7

7936

-28.

1335

022

7.81

265

-11.

3074

911

.401

93-3

9.77

855

191.

0362

9-3

9.33

748

11.7

2399

-42.

0130

219

6.53

372

-39.

3744

811

.806

23-4

2.57

387

197.

9096

8-3

9.38

391

12.2

6748

-34.

5735

019

8.90

650

-29.

7472

412

.616

81-3

6.80

776

204.

4172

7-2

9.78

959

12.7

0602

-37.

3613

120

5.79

653

-29.

8003

312

.225

60-2

9.23

694

195.

6418

4-2

5.23

237

12.5

7154

-31.

4757

620

1.15

462

-25.

2747

812

.659

56-3

2.03

087

202.

5343

5-2

5.28

554

13.6

7976

-12.

4145

320

7.86

204

-1.6

7797

14.0

3339

-14.

4039

721

3.39

289

-1.7

2564

14.1

2280

-14.

8849

421

4.77

705

-1.7

3767

7.81

426

67.2

5396

104.

4491

644

.876

098.

4466

966

.068

4511

0.02

145

44.9

2127

8.59

732

65.7

2526

111.

4161

444

.932

3322

.095

66-5

5.58

249

310.

5755

6-4

0.25

375

22.5

2460

-53.

5966

731

6.13

891

-40.

3195

022

.627

71-5

3.08

502

317.

5312

6-4

0.33

564

19.6

7236

0.88

609

297.

2634

022

.268

6120

.006

371.

9264

030

2.78

091

22.2

3717

20.0

8963

2.21

309

304.

1616

822

.229

5714

.968

17-3

3.13

661

231.

7606

5-1

5.29

539

15.3

7947

-34.

6547

823

7.29

024

-15.

3515

315

.484

20-3

5.00

516

238.

6741

5-1

5.36

557

21.1

0512

15.8

8079

324.

6846

631

.116

8921

.413

9417

.587

4033

0.21

214

31.1

1590

21.4

9123

18.0

3194

331.

5954

631

.115

9414

.866

49-8

.908

0522

3.22

111

7.45

090

15.2

2226

-10.

4689

822

8.75

895

7.41

080

15.3

1205

-10.

8348

023

0.14

481

7.40

073

9.15

532

66.5

1746

115.

4127

146

.943

089.

6997

864

.762

2512

0.99

825

46.9

7935

9.82

780

64.2

9477

122.

3962

246

.988

1520

.276

7353

.231

8933

8.74

714

68.8

6621

20.4

4743

54.5

3801

344.

1652

968

.869

5720

.489

8454

.876

9534

5.52

149

68.8

7068

5.76

462

-27.

2086

185

.017

88-5

0.90

233

6.02

472

-27.

1461

290

.522

68-5

0.85

249

6.08

989

-27.

1544

291

.900

04-5

0.84

019

19.1

0040

27.0

4548

292.

9213

349

.479

2119

.366

7327

.787

0929

8.47

296

49.4

6569

19.4

3335

27.9

9564

299.

8621

549

.462

5722

.850

5246

.919

539.

4797

548

.596

2123

.144

5249

.089

5314

.965

3648

.628

3423

.219

6649

.638

0616

.338

4248

.636

5521

.021

013.

1844

331

8.85

506

19.4

9246

21.3

5141

4.84

391

324.

3733

219

.473

8921

.433

795.

2782

832

5.75

432

19.4

6953

8.08

900

-45.

9026

314

4.85

946

-63.

7338

08.

2932

8-4

7.12

174

150.

2808

9-6

3.72

744

8.34

434

-47.

4418

415

1.63

773

-63.

7261

2

CA

T.1

4

#B

SC

IdC

ost

No

me

Mag

9391

1α

Cet

Men

kar

2.53

9452

31ζ

Cen

Aln

air

2.55

9543

57δ

Leo

Zos

ma

2.56

9661

75ζ

Oph

Fie

ht2.

5697

1865

αLe

pA

rneb

2.58

9846

62γ

Crv

Gie

nah

2.59

9946

21δ

Cen

2.60

100

7194

ζS

grA

scel

la2.

6010

140

57γ

1Le

oA

lgie

ba2.

6110

256

85β

Lib

Zub

enel

sham

ali

2.61

103

2095

θA

urB

ogar

dus

2.62

104

5984

β1

Sco

Gra

ffias

2.62

105

553

βA

riS

hera

tan

2.64

106

1956

αC

olP

hact

2.64

107

4786

βC

rvK

raz

2.65

108

5854

αS

erU

nuka

lhai

2.65

109

403

δC

asR

ukba

h2.

6811

052

35η

Boo

Mup

hrid

2.68

111

5571

βLu

p2.

6811

215

77ι

Aur

Has

sale

h2.

6911

342

16µ

Vel

2.69

114

4798

αM

us2.

6911

565

08υ

Sco

Lesa

th2.

6911

627

73π

Pup

2.70

117

5506

εB

ooIz

ar2.

7011

868

59δ

Sgr

Nun

ki2.

7011

975

25γ

Aql

Tar

azed

2.72

120

6056

δO

phY

ed P

rior

2.74

121

6132

ηD

ra2.

7412

250

28ι

Cen

Ke

Kw

an2.

7512

355

31α

2Li

bZ

uben

elge

nubi

2.75

124

4199

θC

ar2.

7612

518

99ι

Ori

Nai

r al

Sai

f2.

7712

661

48β

Her

Kor

neph

oros

2.77

127

6603

βO

phC

elba

lrai

2.77

128

5776

γLu

p2.

7812

916

66β

Eri

Cur

sa2.

7913

065

36β

Dra

Alw

aid

2.79

131

98β

Hyi

2.80

132

4656

δC

ru2.

8013

331

85ρ

Pup

2.81

134

6212

ζH

er2.

8113

569

13λ

Sgr

Kau

s B

orea

lis2.

8113

661

65τ

Sco

Al N

iyat

2.82

137

39γ

Peg

Alg

enib

2.83

138

4932

εV

irV

inde

mia

trix

2.83

500

a.C

.10

0 a

.C.

1 d

.C.

AR

(h

)D

ec (

º)L

on

(º)

Lat

(º)

AR

(h

)D

ec (

º)L

on

(º)

Lat

(º)

AR

(h

)D

ec (

º)L

on

(º)

Lat

(º)

0.92

439

-7.8

6799

9.56

940

-12.

7632

41.

2564

1-5

.720

1515

.107

86-1

2.73

775

1.33

959

-5.1

9295

16.4

9386

-12.

7311

911

.639

37-3

3.73

397

190.

4000

0-3

2.67

463

11.9

7071

-35.

9829

519

5.90

326

-32.

7148

312

.055

08-3

6.54

554

197.

2806

5-3

2.72

506

8.87

251

32.6

7152

126.

3938

014

.266

799.

2753

931

.039

1313

1.95

861

14.2

8226

9.37

447

30.6

0657

133.

3512

814

.285

8514

.407

54-2

.179

5321

4.47

835

11.6

7983

14.7

4972

-3.9

3158

220.

0169

011

.634

7314

.835

93-4

.348

9022

1.40

291

11.6

2337

3.73

630

-22.

6728

046

.612

53-4

1.38

585

4.02

170

-21.

4875

752

.157

08-4

1.33

344

4.09

329

-21.

2141

253

.544

40-4

1.32

031

10.1

7774

-4.0

3613

156.

1978

4-1

4.41

452

10.5

0808

-6.0

7362

161.

6994

8-1

4.42

394

10.5

9062

-6.5

9460

163.

0763

4-1

4.42

656

10.2

0474

-37.

2297

317

3.06

682

-44.

3477

410

.492

08-3

9.27

148

178.

5482

3-4

4.36

990

10.5

6480

-39.

7920

617

9.92

016

-44.

3756

816

.396

03-2

8.84

492

248.

9197

6-6

.855

4516

.811

34-2

9.64

834

254.

4516

0-6

.908

9616

.916

12-2

9.81

288

255.

8360

3-6

.922

257.

8934

429

.992

3911

4.62

709

8.66

362

8.30

510

28.8

0748

120.

2021

78.

6923

98.

4068

028

.479

7912

1.59

740

8.69

932

13.1

2747

2.21

904

194.

6801

78.

7739

713

.462

790.

0986

920

0.20

893

8.73

202

13.5

4703

-0.4

2000

201.

5925

28.

7213

73.

2617

632

.363

0655

.198

2413

.498

243.

6761

933

.738

2460

.733

7013

.542

863.

7815

234

.050

8162

.119

0713

.553

9913

.791

83-9

.844

6320

8.46

936

1.31

467

14.1

4293

-11.

8025

921

4.00

225

1.26

710

14.2

3161

-12.

2750

021

5.38

689

1.25

510

23.7

2813

7.38

738

359.

2612

48.

4006

10.

0652

89.

6222

64.

7916

18.

4109

20.

1500

210

.180

586.

1756

68.

4137

24.

1775

2-3

7.95

793

47.3

6540

-57.

6844

34.

4110

7-3

6.98

974

52.9

1903

-57.

6349

84.

4697

0-3

6.76

746

54.3

0841

-57.

6226

010

.478

38-9

.660

4916

2.73

455

-17.

9169

310

.805

58-1

1.77

342

168.

2527

2-1

7.93

308

10.8

8759

-12.

3110

016

9.63

373

-17.

9373

813

.727

0716

.855

4519

7.16

421

25.7

1066

14.0

4502

14.8

7923

202.

7294

925

.680

7114

.124

5914

.400

0920

4.12

213

25.6

7306

23.1

9027

46.5

0545

13.3

5032

46.2

4574

23.5

0097

48.7

1502

18.8

5650

46.2

6830

23.5

8061

49.2

7122

20.2

3471

46.2

7411

11.8

8738

32.0

7835

164.

3796

228

.425

7512

.222

4429

.791

8116

9.95

168

28.3

7432

12.3

0518

29.2

2184

171.

3460

528

.361

2012

.540

24-3

0.70

984

200.

4059

7-2

4.74

617

12.8

9438

-32.

9217

620

5.92

069

-24.

7920

112

.984

65-3

3.46

733

207.

3009

2-2

4.80

361

2.39

697

25.2

2865

41.9

3511

10.1

4598

2.78

011

26.9

7775

47.4

6442

10.1

9488

2.87

747

27.3

9169

48.8

4823

10.2

0715

9.09

878

-37.

5176

015

6.12

659

-51.

0249

29.

3576

4-3

9.20

347

161.

6045

1-5

1.03

053

9.42

271

-39.

6400

716

2.97

551

-51.

0322

010

.660

10-5

5.37

921

195.

9822

7-5

6.28

953

10.9

2672

-57.

5171

420

1.45

673

-56.

3299

310

.995

07-5

8.05

836

202.

8271

1-5

6.34

019

14.8

2870

-30.

8569

022

9.30

310

-13.

6576

615

.231

49-3

2.43

709

234.

8329

2-1

3.71

394

15.3

3400

-32.

8045

223

6.21

688

-13.

7280

15.

8254

7-3

5.09

721

85.8

6117

-58.

8146

66.

0572

1-3

5.06

244

91.3

5477

-58.

7654

16.

1153

0-3

5.07

506

92.7

2924

-58.

7532

612

.901

1139

.344

7017

3.17

808

40.7

7437

13.2

0559

37.1

8501

178.

7465

440

.754

3613

.280

8836

.653

7218

0.13

995

40.7

4911

15.7

4113

-26.

3538

923

9.83

962

-6.1

2135

16.1

4372

-27.

5108

424

5.37

517

-6.1

7850

16.2

4559

-27.

7673

824

6.76

053

-6.1

9274

17.7

8828

7.81

999

266.

3079

031

.534

3218

.104

927.

7878

927

1.82

850

31.4

8485

18.1

8420

7.80

899

273.

2099

531

.472

6414

.124

925.

7245

720

7.54

528

17.6

3494

14.4

5439

3.85

401

213.

0853

217

.573

5614

.537

203.

4044

521

4.47

167

17.5

5810

16.0

3204

67.8

9472

158.

3738

678

.494

9516

.056

3866

.798

9716

4.13

875

78.4

9122

16.0

6501

66.5

2762

165.

5809

578

.489

9911

.192

59-2

2.88

148

178.

7097

2-2

5.70

578

11.5

1619

-25.

1057

418

4.19

294

-25.

7520

411

.597

94-2

5.66

563

185.

5652

5-2

5.76

382

12.6

5338

-3.5

9884

190.

4157

10.

6293

512

.992

26-5

.800

6219

5.94

000

0.58

481

13.0

7750

-6.3

4319

197.

3224

90.

5734

99.

3330

6-5

2.33

721

175.

0406

7-6

1.97

910

9.54

542

-54.

0976

718

0.47

690

-62.

0011

19.

5988

0-5

4.54

927

181.

8376

8-6

2.00

684

3.58

928

-10.

9290

048

.253

11-2

9.52

902

3.90

369

-9.6

7839

53.7

9238

-29.

4763

43.

9826

6-9

.390

4355

.178

47-2

9.46

316

14.7

3834

29.5

9446

206.

3007

843

.013

2215

.018

3127

.955

6821

1.84

895

42.9

6523

15.0

8836

27.5

6428

213.

2371

842

.953

1115

.700

879.

0542

823

0.63

653

28.1

6016

16.0

1898

7.87

796

236.

1685

728

.124

6216

.098

897.

6093

023

7.55

287

28.1

1573

13.0

7997

-29.

7972

220

6.84

496

-20.

9345

913

.445

96-3

1.92

588

212.

3653

0-2

0.98

244

13.5

3927

-32.

4457

621

3.74

691

-20.

9945

33.

1252

6-1

1.56

103

40.5

9016

-28.

1316

83.

4400

2-1

0.10

440

46.1

1986

-28.

0890

63.

5190

6-9

.762

8947

.503

57-2

8.07

835

16.6

1925

55.7

1759

216.

8651

375

.582

0916

.752

2054

.961

0122

2.47

805

75.5

3433

16.7

8609

54.7

8368

223.

8815

575

.522

3214

.799

28-8

7.15

631

265.

1292

1-6

4.26

020

18.7

0002

-88.

0243

427

0.83

157

-64.

3479

819

.799

95-8

7.84

743

272.

2592

0-6

4.36

972

10.3

4261

-45.

1642

718

1.28

531

-50.

2156

710

.618

91-4

7.23

755

186.

7597

8-5

0.24

496

10.6

8913

-47.

7648

118

8.13

003

-50.

2524

96.

3572

4-1

9.91

427

96.9

5698

-43.

5388

46.

6393

6-2

0.20

319

102.

4461

2-4

3.49

231

6.70

997

-20.

3009

410

3.81

967

-43.

4808

815

.133

3538

.539

4920

7.06

762

53.1

9765

15.3

8010

37.1

1158

212.

5549

153

.184

8215

.441

8536

.772

1321

3.92

774

53.1

8153

15.9

3919

-22.

4036

624

1.63

075

-1.6

7951

16.3

3160

-23.

4766

124

7.15

785

-1.7

5354

16.4

3072

-23.

7122

524

8.54

106

-1.7

7201

14.1

5430

-19.

4011

121

6.75

248

-5.7

9219

14.5

2316

-21.

2426

822

2.28

222

-5.8

4383

14.6

1668

-21.

6823

822

3.66

612

-5.8

5681

22.1

2132

1.71

036

334.

5122

712

.560

5422

.455

303.

7346

134

0.03

245

12.5

6231

22.5

3867

4.25

286

341.

4139

412

.563

0310

.918

3624

.750

8815

5.30

909

16.3

1912

11.2

6869

22.5

6873

160.

8280

316

.305

3011

.355

2822

.016

9516

2.20

917

16.3

0158

CA

T.1

5

#B

SC

IdC

ost

No

me

Mag

139

1829

βLe

pN

ihal

2.84

140

1203

ζP

erM

enkh

ib2.

8514

158

97β

TrA

2.85

142

6461

βA

ra2.

8514

359

1α

Hyi

Hea

d of

Hyd

rus

2.86

144

8502

αT

uc2.

8614

511

65η

Tau

Alc

yone

2.87

146

7528

δC

yg2.

8714

783

22δ

Cap

Den

eb A

lgie

di2.

8714

822

86µ

Gem

Tej

at P

oste

rior

2.88

149

1220

εP

er2.

8915

056

71γ

TrA

2.89

151

5944

πS

co2.

8915

260

84σ

Sco

Al N

iyat

2.89

153

7264

πS

grA

lbal

dah

2.89

154

2845

βC

Mi

Gom

eisa

2.90

155

4915

α2

CV

nC

or C

arol

i2.

9015

682

32β

Aqr

Sad

alsu

ud2.

9115

791

5γ

Per

2.93

158

2553

τP

up2.

9315

986

50η

Peg

Mat

ar2.

9416

012

31γ

Eri

Zau

rak

2.95

161

4757

δC

rvA

lgor

ab2.

9516

265

10α

Ara

Cho

o2.

9516

384

14α

Aqr

Sad

alm

elik

2.96

164

2473

εG

emM

ebsu

ta2.

9816

538

73ε

Leo

Ras

Ela

sed

Aus

tr.

2.98

166

1605

εA

urM

aaz

2.99

167

6746

γ2

Sgr

Nas

h2.

9916

872

35ζ

Aql

Den

eb e

l Oka

b2.

9916

962

2β

Tri

3.00

170

1910

ζT

au3.

0017

146

30ε

Crv

Min

kar

3.00

172

5020

γH

ya3.

0017

311

22δ

Per

3.01

500

a.C

.10

0 a

.C.

1 d

.C.

AR

(h

)D

ec (

º)L

on

(º)

Lat

(º)

AR

(h

)D

ec (

º)L

on

(º)

Lat

(º)

AR

(h

)D

ec (

º)L

on

(º)

Lat

(º)

3.71

188

-25.

7161

444

.901

18-4

4.17

817

3.98

963

-24.

5267

750

.446

65-4

4.13

621

4.05

928

-24.

2515

951

.834

17-4

4.12

569

1.47

359

21.3

2411

28.4

3355

11.0

4784

1.83

656

23.3

6296

33.9

6059

11.0

9199

1.92

868

23.8

5736

35.3

4384

11.1

0314

12.9

3386

-51.

9511

921

7.19

175

-41.

3507

113

.326

74-5

4.14

146

222.

7091

4-4

1.44

510

13.4

2901

-54.

6769

722

4.09

016

-41.

4687

614

.295

87-4

8.07

078

229.

5135

6-3

1.91

841

14.7

3819

-49.

8504

723

5.03

883

-31.

9740

414

.852

40-5

0.26

883

236.

4217

6-3

1.98

795

0.59

646

-74.

7000

330

6.59

876

-64.

0746

20.

8413

9-7

2.48

639

312.

2567

6-6

4.10

645

0.90

011

-71.

9380

631

3.67

289

-64.

1141

118

.623

79-6

8.73

014

274.

7956

3-4

5.13

230

19.3

2707

-68.

1646

328

0.34

973

-45.

1792

819

.497

87-6

7.96

249

281.

7399

1-4

5.19

082

1.46

223

13.4

3351

25.2

8060

3.80

031

1.81

553

15.4

7258

30.8

1168

3.83

858

1.90

488

15.9

6759

32.1

9591

3.84

828

18.4

5084

41.1

5518

281.

9412

564

.627

0818

.658

0241

.484

1128

7.41

338

64.5

8922

18.7

0988

41.5

8511

288.

7824

964

.579

9719

.376

21-2

4.55

468

288.

7167

0-2

.147

5219

.776

31-2

3.69

068

294.

2659

3-2

.224

3619

.875

59-2

3.44

160

295.

6546

9-2

.243

333.

9044

419

.483

7560

.545

66-1

.074

694.

2900

320

.546

9766

.084

17-1

.032

914.

3873

520

.780

8167

.470

23-1

.022

521.

4193

329

.462

8331

.001

7118

.834

521.

7925

431

.512

0936

.525

8018

.877

991.

8876

932

.009

0337

.908

3518

.888

9612

.365

91-5

6.33

573

214.

8215

2-4

7.76

747

12.7

3625

-58.

5625

622

0.32

552

-47.

8200

912

.833

14-5

9.11

291

221.

7032

5-4

7.83

332

13.6

1594

-15.

7953

220

8.23

860

-5.1

6370

13.9

7336

-17.

8020

121

3.76

789

-5.2

1201

14.0

6386

-18.

2875

721

5.15

166

-5.2

2420

13.9

6522

-16.

1900

921

3.09

346

-3.7

1710

14.3

2679

-18.

0943

321

8.62

363

-3.7

6716

14.4

1835

-18.

5514

722

0.00

762

-3.7

7977

16.6

8153

-20.

7001

325

1.53

831

1.78

075

17.0

7365

-21.

3549

825

7.06

998

1.72

383

17.1

7231

-21.

4837

225

8.45

433

1.70

970

5.18

190

9.45

508

77.5

3419

-13.

7642

55.

5437

39.

8229

483

.057

76-1

3.71

755

5.63

448

9.88

190

84.4

4003

-13.

7060

110

.781

2652

.075

9613

9.74

003

40.1

1526

11.1

6529

49.9

1530

145.

2899

240

.120

9311

.258

1649

.367

3114

6.67

884

40.1

2207

19.2

6901

-13.

6856

128

8.70

446

8.82

678

19.6

3901

-12.

8518

229

4.23

266

8.78

876

19.7

3107

-12.

6123

829

5.61

613

8.77

949

0.49

880

41.1

5059

25.4

2035

34.2

4887

0.85

994

43.3

6209

30.9

3107

34.2

9211

0.95

271

43.9

0770

32.3

1036

34.3

0304

5.80

366

-49.

4183

983

.395

70-7

3.10

555

5.96

656

-49.

3575

988

.878

47-7

3.06

268

6.00

745

-49.

3574

490

.249

83-7

3.05

210

20.8

1978

18.7

1033

321.

2267

335

.157

2621

.119

0920

.283

9232

6.72

174

35.1

4478

21.1

9401

20.6

9616

328.

0969

435

.141

932.

0522

3-2

3.21

136

18.9

9214

-33.

3815

92.

3564

1-2

1.33

884

24.5

5248

-33.

3552

32.

4324

6-2

0.88

691

25.9

4384

-33.

3484

910

.400

99-2

.755

3815

8.89

330

-11.

9795

310

.732

92-4

.862

5416

4.39

990

-12.

0099

110

.815

86-5

.399

3116

5.77

800

-12.

0177

714

.555

32-4

2.98

095

230.

2450

8-2

6.18

168

14.9

8740

-44.

6694

623

5.77

048

-26.

2425

215

.098

32-4

5.06

375

237.

1534

1-2

6.25

774

19.9

1433

-9.4

6062

298.

9138

311

.422

7620

.271

49-8

.291

2330

4.43

877

11.3

9212

20.3

6029

-7.9

7162

305.

8214

211

.384

724.

1926

923

.176

1465

.221

281.

7519

84.

5895

724

.093

6470

.753

341.

8043

04.

6897

024

.289

0272

.137

811.

8173

07.

2472

032

.229

6010

5.96

867

9.51

848

7.67

016

31.3

8982

111.

5034

49.

5540

37.

7749

131

.144

6011

2.88

861

9.56

268

2.27

377

35.8

0187

44.1

4970

20.6

2307

2.67

825

37.5

9319

49.6

7604

20.6

7420

2.78

166

38.0

1716

51.0

5917

20.6

8702

15.4

9979

-25.

9854

823

6.57

575

-6.5

3161

15.8

9802

-27.

2779

724

2.10

236

-6.6

0592

15.9

9890

-27.

5700

024

3.48

548

-6.6

2447

17.1

8661

13.4

4271

255.

1720

436

.564

3417

.488

7213

.044

6426

0.69

231

36.5

0157

17.5

6446

12.9

7267

262.

0736

336

.485

9923

.891

8121

.689

677.

6522

720

.417

990.

2308

823

.933

4113

.180

4220

.440

940.

3167

224

.492

5914

.563

9720

.446

883.

2173

615

.574

7150

.065

05-2

.510

573.

5884

716

.985

6355

.597

85-2

.459

983.

6822

617

.310

8656

.982

48-2

.447

3310

.102

44-9

.174

1815

7.11

090

-19.

6006

510

.427

18-1

1.19

254

162.

6165

3-1

9.60

790

10.5

0846

-11.

7091

416

3.99

441

-19.

6099

811

.166

90-9

.360

4817

2.32

073

-13.

5839

311

.499

58-1

1.57

893

177.

8492

0-1

3.60

543

11.5

8312

-12.

1376

617

9.23

278

-13.

6110

41.

0921

036

.597

2830

.150

5327

.030

201.

4674

038

.716

5335

.669

9627

.072

231.

5635

439

.233

5637

.051

3827

.082

83

CA

T.1

6

#B

SC

IdC

ost

No

me

Mag

124

91α

CM

aS

irius

-1.4

62

2326

αC

arC

anop

us-0

.72

353

40α

Boo

Arc

turu

s-0

.04

454

59α

1C

enR

igel

Ken

taur

us-0

.01

570

01α

Lyr

Veg

a0.

036

1708

αA

urC

apel

la0.

087

1713

βO

riR

igel

0.12

829

43α

CM

iP

rocy

on0.

389

472

αE

riA

cher

nar

0.46

1020

61α

Ori

Bet

elge

use

0.50

1152

67β

Cen

Had

ar0.

6112

7557

αA

qlA

ltair

0.77

1314

57α

Tau

Ald

ebar

an0.

8514

6134

αS

coA

ntar

es0.

9615

5056

αV

irS

pica

0.98

1629

90β

Gem

Pol

lux

1.14

1787

28α

PsA

Fom

alha

ut1.

1618

4853

βC

ruM

imos

a1.

2519

7924

αC

ygD

eneb

1.25

2047

30α

1C

ruA

crux

1.33

2154

60α

2C

enP

roxi

ma

1.33

2239

82α

Leo

Reg

ulus

1.35

2326

18ε

CM

aA

dhar

a1.

5024

4763

γC

ruG

acru

x1.

6325

6527

λS

coS

haul

a1.

6326

1790

γO

riB

ella

trix

1.64

2717

91β

Tau

Eln

ath

1.65

2836

85β

Car

Mia

plac

idus

1.68

2919

03ε

Ori

Aln

ilam

1.70

3084

25α

Gru

Aln

air

1.74

3149

05ε

UM

aA

lioth

1.77

3232

07γ

2V

elR

egor

1.78

3310

17α

Per

Mirf

ak1.

7934

4301

αU

Ma

Dub

he1.

7935

2693

δC

Ma

Wez

en1.

8436

6879

εS

grK

aus

Aus

tral

is1.

8537

3307

εC

arA

vior

1.86

3851

91η

UM

aA

lkai

d1.

8639

6553

θS

coS

arga

s1.

8740

2088

βA

urM

enka

linan

1.90

4162

17α

TrA

Atr

ia1.

9242

2421

γG

emA

lhen

a1.

9343

7790

αP

avP

eaco

ck1.

9444

3485

δV

el1.

9645

2294

βC

Ma

Mirz

am1.

9846

2891

αG

emC

asto

r1.

98

100

d.C

.50

0 d

.C.

1000

d.C

.A

R (

h)

Dec

(º)

Lo

n (

º)L

at (

º)A

R (

h)

Dec

(º)

Lo

n (

º)L

at (

º)A

R (

h)

Dec

(º)

Lo

n (

º)L

at (

º)5.

3556

9-1

5.91

443

77.9

7687

-39.

1904

75.

6494

6-1

5.76

374

83.4

5786

-39.

2759

26.

0171

4-1

5.81

562

90.3

2007

-39.

3840

95.

7054

8-5

2.56

925

78.7

7949

-76.

0779

75.

8492

7-5

2.43

590

84.2

8493

-76.

0231

36.

0310

5-5

2.38

872

91.1

7121

-75.

9555

712

.812

0329

.922

0717

7.77

644

32.0

2336

13.1

1976

27.5

3917

183.

3305

031

.755

4213

.501

1124

.637

2719

0.28

494

31.4

1818

12.6

9980

-51.

6907

921

4.48

005

-42.

3170

013

.063

49-5

3.77

968

219.

7301

0-4

2.37

597

13.5

5057

-56.

2994

322

6.30

231

-42.

4495

717

.551

9038

.417

5825

8.79

675

61.8

3638

17.7

7439

38.2

4731

264.

3674

961

.813

0818

.053

7638

.220

0327

1.33

999

61.7

8501

3.05

803

41.3

2405

55.4

3113

22.8

4227

3.49

964

42.7

4451

60.9

7531

22.8

4683

4.07

310

44.2

1929

67.9

2002

22.8

5266

3.74

163

-12.

2722

950

.365

93-3

1.36

724

4.05

350

-11.

0995

355

.921

39-3

1.31

601

4.44

649

-9.8

6232

62.8

7754

-31.

2517

25.

9785

88.

0337

689

.669

59-1

5.64

837

6.33

361

7.81

778

95.1

5083

-15.

7245

36.

7765

47.

2605

310

2.01

494

-15.

8211

90.

3498

4-6

7.42

276

318.

4595

7-5

9.28

360

0.64

483

-65.

2029

332

4.09

387

-59.

3070

30.

9893

1-6

2.47

387

331.

1508

9-5

9.33

367

4.22

705

4.85

484

62.3

0898

-16.

2827

94.

5781

55.

7669

867

.859

51-1

6.22

848

5.02

158

6.63

329

74.8

1032

-16.

1609

012

.155

56-5

0.25

245

207.

5065

3-4

3.92

075

12.5

0984

-52.

4880

121

3.01

964

-43.

9649

312

.983

09-5

5.23

425

219.

9264

9-4

4.02

134

18.2

9540

5.77

371

275.

0606

329

.377

6518

.622

516.

0749

328

0.66

794

29.3

5954

19.0

3129

6.71

994

287.

6897

929

.338

722.

8370

710

.659

2843

.333

04-5

.599

473.

1974

312

.217

5148

.885

11-5

.572

403.

6560

013

.937

2455

.838

34-5

.537

9514

.629

14-2

0.11

581

223.

3412

1-4

.322

3915

.005

75-2

1.77

735

228.

8853

3-4

.373

8715

.488

19-2

3.62

611

235.

8290

3-4

.438

7711

.791

65-0

.736

3217

7.43

309

-1.9

2922

12.1

2952

-2.9

8128

182.

9747

8-1

.952

7812

.554

35-5

.770

7618

9.91

531

-1.9

8440

5.77

462

30.1

7829

87.0

5882

6.53

062

6.19

515

30.1

7104

92.5

4718

6.56

468

6.72

016

29.8

2029

99.4

2131

6.60

599

21.0

9431

-38.

7006

930

7.23

230

-20.

8841

221

.510

52-3

7.01

610

312.

8197

5-2

0.94

047

22.0

1222

-34.

7111

631

9.81

788

-21.

0083

711

.182

28-4

9.14

017

195.

4350

0-4

8.45

590

11.4

8911

-51.

3500

820

0.93

233

-48.

4923

811

.892

84-5

4.13

982

207.

8194

8-4

8.53

954

19.6

1784

39.6

2496

309.

2923

460

.007

6319

.842

8340

.606

5931

4.75

709

59.9

8312

20.1

2454

41.9

9530

321.

6003

559

.954

8410

.920

28-5

2.58

781

195.

6869

6-5

2.69

877

11.2

0900

-54.

7644

420

1.17

797

-52.

7346

611

.589

09-5

7.52

855

208.

0575

4-5

2.78

110

12.7

0008

-51.

6924

021

4.48

409

-42.

3170

213

.063

71-5

3.78

091

219.

7331

5-4

2.37

602

13.5

5072

-56.

3002

422

6.30

431

-42.

4496

58.

3981

419

.937

4512

3.51

792

0.38

324

8.77

511

18.5

3020

129.

0391

30.

4035

09.

2383

016

.547

1713

5.95

407

0.42

653

5.73

966

-27.

9895

584

.444

45-5

1.59

604

5.99

863

-27.

9123

089

.970

72-5

1.54

474

6.32

364

-28.

0297

196

.889

23-5

1.48

182

10.9

6176

-46.

4549

619

0.39

662

-47.

5684

511

.262

50-4

8.66

722

195.

9226

7-4

7.62

193

11.6

5516

-51.

4737

520

2.84

504

-47.

6902

315

.483

45-3

3.08

702

238.

1601

4-1

3.52

310

15.9

0377

-34.

3633

924

3.70

467

-13.

5792

016

.443

63-3

5.65

468

250.

6493

3-1

3.64

922

3.75

005

2.52

387

54.5

1022

-17.

0572

34.

0951

63.

6824

860

.058

87-1

7.00

644

4.53

164

4.87

593

67.0

0730

-16.

9428

83.

4940

624

.558

6956

.142

395.

2287

73.

8905

425

.813

7261

.688

875.

2618

04.

3969

727

.096

6568

.635

605.

3030

88.

7381

1-6

2.26

858

186.

3958

9-7

2.08

318

8.85

661

-63.

7586

919

1.75

597

-72.

1131

88.

9941

1-6

5.68

593

198.

4736

8-7

2.15

234

4.01

846

-4.4

4444

57.0

2049

-24.

7550

04.

3475

6-3

.417

7462

.571

07-2

4.70

249

4.76

273

-2.3

8481

69.5

2152

-24.

6369

219

.909

27-5

4.40

477

289.

3490

9-3

2.64

825

20.4

2066

-53.

2188

429

4.92

087

-32.

7069

021

.028

25-5

1.41

046

301.

9000

9-3

2.77

812

11.3

1269

66.5

0028

132.

1306

954

.210

1911

.694

3364

.276

2813

7.75

424

54.2

3647

12.1

2802

61.4

7907

144.

7980

854

.266

747.

1824

2-4

2.85

514

121.

3736

3-6

4.59

879

7.38

796

-43.

5949

312

6.82

673

-64.

5674

87.

6449

6-4

4.67

598

133.

6546

2-6

4.53

055

1.36

605

41.2

9734

35.7

1252

29.9

1738

1.75

861

43.3

5210

41.2

4404

29.9

6011

2.27

531

45.7

6523

48.1

7317

30.0

1439

8.58

135

70.7

2299

108.

5602

449

.550

739.

2159

369

.170

4111

4.14

774

49.5

8079

9.91

406

66.9

1106

121.

1474

249

.616

295.

8583

9-2

5.02

369

87.0

8401

-48.

6844

96.

1268

1-2

5.01

893

92.6

0855

-48.

6340

16.

4635

0-2

5.23

429

99.5

2525

-48.

5722

116

.326

85-3

2.56

147

248.

6628

9-1

0.73

743

16.7

5463

-33.

4103

625

4.20

548

-10.

8044

717

.298

71-3

4.13

209

261.

1476

0-1

0.88

771

7.68

940

-54.

1235

314

7.53

493

-72.

7052

07.

8389

2-5

5.12

188

152.

9046

2-7

2.69

688

8.02

246

-56.

4753

815

9.63

058

-72.

6887

812

.464

7159

.413

2215

0.20

309

54.4

0651

12.7

6307

57.1

9952

155.

8130

354

.406

0713

.118

6754

.486

0916

2.83

856

54.4

0290

15.4

3523

-39.

0080

323

9.16

894

-19.

3937

715

.874

84-4

0.30

036

244.

7141

6-1

9.44

696

16.4

4229

-41.

5981

225

1.65

999

-19.

5133

13.

7382

741

.838

8163

.501

8221

.257

194.

1937

442

.976

4069

.042

2621

.310

604.

7805

544

.055

0375

.982

1821

.377

0013

.979

84-6

2.26

449

234.

4957

7-4

5.88

596

14.4

8115

-64.

1393

424

0.03

229

-45.

9418

715

.177

08-6

6.20

984

246.

9689

3-4

6.01

180

4.80

704

15.6

3162

72.6

5631

-6.9

6945

5.18

680

16.2

0996

78.2

0679

-6.9

2063

5.66

550

16.6

2368

85.1

5801

-6.8

6034

17.7

1455

-59.

6355

426

7.32

635

-35.

9931

518

.307

67-5

9.63

867

272.

8833

6-3

6.05

277

19.0

4185

-59.

1590

027

9.84

466

-36.

1259

67.

8616

0-4

8.65

660

143.

0188

3-6

7.21

672

8.04

911

-49.

7633

114

8.45

954

-67.

2094

58.

2824

2-5

1.27

655

155.

2736

1-6

7.20

278

4.99

399

-18.

8305

670

.791

34-4

1.50

222

5.28

319

-18.

3292

176

.333

41-4

1.44

892

5.64

659

-17.

9385

883

.272

25-4

1.38

296

5.51

659

33.4

5141

83.8

6268

9.92

476

5.95

250

33.5

9338

89.3

9745

9.96

244

6.49

824

33.4

1218

96.3

2972

10.0

0835

CA

T.1

7

#B

SC

IdC

ost

No

me

Mag

4737

48α

Hya

Alp

hard

1.98

4861

7α

Ari

Ham

al2.

0049

5958

TC

rB2.

0050

424

αU

Mi

Pol

aris

2.02

5171

21σ

Sgr

Nun

ki2.

0252

188

βC

etD

iphd

a2.

0453

1948

ζO

riA

lnita

k2.

0554

15α

And

Alp

hera

tz2.

0655

337

βA

ndM

irach

2.06

5620

04κ

Ori

Sai

ph2.

0657

5288

θC

enM

enke

nt2.

0658

5563

βU

Mi

Koc

hab

2.08

5965

56α

Oph

Ras

alha

gue

2.08

6086

36β

Gru

2.10

6193

6β

Per

Alg

ol2.

1262

4534

βLe

oD

eneb

ola

2.14

6348

19γ

Cen

Muh

lifai

n2.

1764

7796

γC

ygS

adr

2.20

6536

34λ

Vel

Suh

ail

2.21

6616

8α

Cas

Sch

edar

2.23

6718

52δ

Ori

Min

taka

2.23

6857

93α

CrB

Alp

hecc

a2.

2369

6705

γD

raE

ltani

n2.

2370

3165

ζP

upN

aos

2.25

7136

99ι

Car

Asp

idis

ke2.

2572

603

γ1

And

Alm

aak

2.26

7321

βC

asC

aph

2.27

7450

54ζ

UM

aM

izar

2.27

7562

41ε

Sco

2.29

7651

32ε

Cen

2.30

7754

69α

Lup

2.30

7854

40η

Cen

2.31

7959

53δ

Sco

Dsc

hubb

a2.

3280

4295

βU

Ma

Mer

ak2.

3781

99α

Phe

Ank

aa2.

3982

8308

εP

egE

nif

2.39

8365

80κ

Sco

2.41

8487

75β

Peg

Sch

eat

2.42

8563

78η

Oph

Sab

ik2.

4386

4554

γU

Ma

Pha

d2.

4487

8162

αC

epA

lder

amin

2.44

8828

27η

CM

aA

ludr

a2.

4589

7949

εC

ygG

iena

h C

ygni

2.46

9026

4γ

Cas

Tsi

h2.

4791

8781

αP

egM

arka

b2.

4992

3734

κV

elM

arka

b2.

50

100

d.C

.50

0 d

.C.

1000

d.C

.A

R (

h)

Dec

(º)

Lo

n (

º)L

at (

º)A

R (

h)

Dec

(º)

Lo

n (

º)L

at (

º)A

R (

h)

Dec

(º)

Lo

n (

º)L

at (

º)7.

8919

1-1

.874

5312

0.95

023

-22.

5298

68.

2245

2-3

.021

6712

6.47

567

-22.

4957

68.

6382

0-4

.679

9213

3.39

549

-22.

4554

20.

4179

613

.566

8411

.206

299.

9148

80.

7636

115

.766

9916

.757

609.

9231

71.

2039

218

.452

4623

.710

489.

9353

214

.676

8432

.708

9820

3.51

427

45.4

6313

14.9

5256

31.0

4981

209.

0965

145

.425

2415

.297

5829

.139

3121

6.08

542

45.3

7652

23.3

0208

78.7

9896

62.1

6045

65.8

5571

23.5

1057

81.0

1287

67.6

9447

65.9

0793

23.8

1090

83.7

9731

74.6

3099

65.9

7292

16.9

5598

-26.

0904

525

5.94

815

-3.1

7610

17.3

6645

-26.

5850

026

1.49

569

-3.2

3486

17.8

8388

-26.

8667

426

8.44

369

-3.3

0745

23.0

9241

-28.

5417

233

5.93

597

-20.

7632

523

.447

24-2

6.33

681

341.

5283

0-2

0.77

099

23.8

8108

-23.

5459

334

8.53

197

-20.

7780

54.

1018

7-4

.975

2558

.239

03-2

5.54

236

4.42

958

-3.9

9191

63.7

8947

-25.

4896

84.

8428

5-3

.014

3570

.739

69-2

5.42

395

22.5

6999

18.7

8665

347.

9748

225

.720

7822

.891

5120

.887

7035

3.50

012

25.7

0925

23.2

9872

23.5

8368

0.42

067

25.6

9715

23.5

0244

25.1

7785

4.03

066

25.9

0108

23.8

3549

27.3

9920

9.56

417

25.9

0739

0.26

229

30.1

8051

16.4

9523

25.9

1728

4.31

015

-12.

2694

759

.958

21-3

3.32

036

4.61

957

-11.

3924

865

.508

89-3

3.26

748

5.00

911

-10.

5381

672

.458

96-3

3.20

155

12.3

7483

-26.

1093

219

6.06

446

-21.

5730

312

.720

30-2

8.38

306

201.

5708

9-2

1.67

774

13.1

6555

-31.

1641

420

8.46

786

-21.

8101

815

.743

3981

.411

7110

6.34

718

72.8

1045

15.3

4670

80.0

6313

111.

9999

372

.850

5415

.048

5278

.183

6411

9.08

520

72.8

9860

16.1

3079

15.8

0930

235.

9113

836

.200

2516

.432

7714

.807

2924

1.48

284

36.1

2327

16.8

1309

13.7

8717

248.

4586

236

.027

0620

.580

39-5

5.50

113

295.

7038

3-3

5.25

377

21.0

7593

-53.

9906

230

1.28

957

-35.

2943

921

.658

21-5

1.83

402

308.

2861

4-3

5.34

291

1.23

555

32.0

7712

29.7

9197

22.2

1954

1.60

928

34.1

6555

35.3

2555

22.2

6214

2.09

503

36.6

4019

42.2

5681

22.3

1649

10.1

5104

24.8

0936

145.

3448

512

.391

4710

.513

2822

.762

7315

0.85

812

12.3

6848

10.9

5627

20.1

0039

157.

7630

612

.337

2911

.098

77-3

8.41

986

186.

1352

1-3

9.98

971

11.4

1191

-40.

6201

019

1.62

747

-40.

0236

311

.817

37-4

3.40

341

198.

5074

6-4

0.06

790

19.2

4030

35.4

4382

298.

7294

257

.267

1419

.477

3536

.224

7630

4.21

076

57.2

3413

19.7

7423

37.3

7980

311.

0742

357

.195

077.

9825

6-3

6.87

758

135.

1273

9-5

5.95

067

8.22

300

-38.

0494

614

0.59

646

-55.

9306

38.

5245

6-3

9.67

666

147.

4456

5-5

5.90

798

23.0

8370

46.0

1853

11.5

5657

46.4

8863

23.3

9030

48.2

1250

17.0

5762

46.5

1447

23.7

9121

50.9

8898

23.9

4918

46.5

4851

3.93

184

-3.1

4884

55.9

5227

-23.

2036

54.

2640

8-2

.078

0161

.502

98-2

3.15

133

4.68

343

-0.9

8993

68.4

5366

-23.

0859

314

.243

0234

.412

3319

5.58

741

44.5

1921

14.5

2428

32.5

8125

201.

1951

244

.480

2414

.875

0530

.440

1320

8.21

609

44.4

2980

17.2

2687

52.6

5939

241.

5232

275

.183

2217

.373

7152

.248

8624

7.08

548

75.1

2784

17.5

6064

51.8

5716

254.

0420

475

.058

866.

9510

4-3

5.94

862

112.

4537

4-5

8.51

330

7.18

367

-36.

5662

711

7.93

269

-58.

4757

27.

4750

3-3

7.51

914

124.

7926

7-5

8.43

080

8.42

599

-52.

0714

615

9.50

393

-67.

0878

58.

6085

9-5

3.44

414

164.

9203

1-6

7.09

082

8.83

551

-55.

2727

117

1.70

555

-67.

0968

40.

2831

232

.302

5217

.882

4127

.661

330.

6334

734

.523

0023

.409

0027

.689

841.

0879

737

.242

3430

.331

6627

.727

0322

.668

5248

.831

548.

8616

351

.232

6222

.955

4650

.944

8914

.368

0351

.226

4723

.329

7353

.645

8421

.266

6651

.220

6611

.997

8965

.308

8313

8.84

166

56.3

0108

12.3

2425

63.0

6600

144.

4774

856

.320

9812

.703

1560

.290

9415

1.53

625

56.3

4320

14.8

7529

-28.

5481

122

9.16

989

-11.

3287

515

.269

44-3

0.12

219

234.

6598

4-1

1.41

481

15.7

7687

-31.

8381

324

1.53

610

-11.

5226

111

.888

39-4

3.12

948

199.

2725

0-3

9.39

331

12.2

2866

-45.

3729

920

4.78

550

-39.

4319

912

.675

78-4

8.15

248

211.

6917

5-3

9.48

182

12.7

9514

-37.

9067

020

7.16

260

-29.

8110

113

.163

90-4

0.07

737

212.

6885

7-2

9.85

475

13.6

4674

-42.

6896

321

9.61

067

-29.

9106

112

.747

37-3

2.57

800

203.

9008

7-2

5.29

626

13.1

0929

-34.

7578

520

9.42

857

-25.

3402

013

.579

74-3

7.38

800

216.

3525

6-2

5.39

644

14.2

1173

-15.

3540

621

6.14

790

-1.7

4963

14.5

7542

-17.

1725

322

1.69

271

-1.7

9834

15.0

4038

-19.

2503

222

8.63

717

-1.8

6008

8.74

341

65.3

6884

112.

7975

044

.943

199.

3033

363

.777

5811

8.38

544

44.9

8611

9.93

842

61.5

1025

125.

3852

945

.037

5922

.728

27-5

2.57

346

318.

9102

6-4

0.35

149

23.1

2046

-50.

4643

832

4.48

819

-40.

4143

723

.582

89-4

7.76

313

331.

4745

2-4

0.49

026

20.1

7197

2.50

708

305.

5291

822

.222

1520

.503

683.

7948

331

1.06

023

22.1

9322

20.9

1625

5.61

649

317.

9871

222

.159

4215

.588

61-3

5.33

988

240.

0447

9-1

5.37

946

16.0

1772

-36.

5624

624

5.58

904

-15.

4355

416

.569

09-3

7.77

494

252.

5334

3-1

5.50

547

21.5

6778

18.4

7872

332.

9654

831

.116

0921

.877

8120

.347

9433

8.50

701

31.1

1785

22.2

6781

22.8

1434

345.

4474

931

.122

5915

.401

28-1

1.18

687

231.

5173

47.

3907

615

.765

18-1

2.50

273

237.

0687

47.

3503

316

.227

43-1

3.89

093

244.

0210

57.

2996

19.

9515

763

.822

2712

3.78

081

46.9

9676

10.4

2374

61.8

2933

129.

3816

547

.030

4810

.959

5159

.196

5813

6.39

725

47.0

7020

20.5

3172

55.2

1726

346.

8647

668

.871

8720

.699

7656

.639

3935

2.29

903

68.8

7769

20.9

0695

58.5

1869

359.

1075

668

.887

236.

1544

6-2

7.17

208

93.2

6406

-50.

8280

86.

4158

4-2

7.33

879

98.7

8018

-50.

7798

06.

7435

6-2

7.76

100

105.

6863

8-5

0.72

099

19.4

9931

28.2

1110

301.

2379

449

.459

5819

.765

9729

.171

3030

6.80

207

49.4

4854

20.0

9975

30.5

6765

313.

7694

349

.437

1023

.294

7750

.183

0917

.698

4048

.644

7623

.606

4052

.401

5223

.200

1648

.678

610.

0180

155

.194

4130

.092

9348

.722

4621

.515

295.

7155

432

7.12

206

19.4

6533

21.8

4402

7.55

146

332.

6542

619

.449

4722

.254

449.

9853

533

9.58

298

19.4

3219

8.39

488

-47.

7646

515

2.98

157

-63.

7249

28.

5991

5-4

9.12

757

158.

4174

5-6

3.72

113

8.85

474

-50.

9584

116

5.22

637

-63.

7187

7

CA

T.1

8

#B

SC

IdC

ost

No

me

Mag

9391

1α

Cet

Men

kar

2.53

9452

31ζ

Cen

Aln

air

2.55

9543

57δ

Leo

Zos

ma

2.56

9661

75ζ

Oph

Fie

ht2.

5697

1865

αLe

pA

rneb

2.58

9846

62γ

Crv

Gie

nah

2.59

9946

21δ

Cen

2.60

100

7194

ζS

grA

scel

la2.

6010

140

57γ

1Le

oA

lgie

ba2.

6110

256

85β

Lib

Zub

enel

sham

ali

2.61

103

2095

θA

urB

ogar

dus

2.62

104

5984

β1

Sco

Gra

ffias

2.62

105

553

βA

riS

hera

tan

2.64

106

1956

αC

olP

hact

2.64

107

4786

βC

rvK

raz

2.65

108

5854

αS

erU

nuka

lhai

2.65

109

403

δC

asR

ukba

h2.

6811

052

35η

Boo

Mup

hrid

2.68

111

5571

βLu

p2.

6811

215

77ι

Aur

Has

sale

h2.

6911

342

16µ

Vel

2.69

114

4798

αM

us2.

6911

565

08υ

Sco

Lesa

th2.

6911

627

73π

Pup

2.70

117

5506

εB

ooIz

ar2.

7011

868

59δ

Sgr

Nun

ki2.

7011

975

25γ

Aql

Tar

azed

2.72

120

6056

δO

phY

ed P

rior

2.74

121

6132

ηD

ra2.

7412

250

28ι

Cen

Ke

Kw

an2.

7512

355

31α

2Li

bZ

uben

elge

nubi

2.75

124

4199

θC

ar2.

7612

518

99ι

Ori

Nai

r al

Sai

f2.

7712

661

48β

Her

Kor

neph

oros

2.77

127

6603

βO

phC

elba

lrai

2.77

128

5776

γLu

p2.

7812

916

66β

Eri

Cur

sa2.

7913

065

36β

Dra

Alw

aid

2.79

131

98β

Hyi

2.80

132

4656

δC

ru2.

8013

331

85ρ

Pup

2.81

134

6212

ζH

er2.

8113

569

13λ

Sgr

Kau

s B

orea

lis2.

8113

661

65τ

Sco

Al N

iyat

2.82

137

39γ

Peg

Alg

enib

2.83

138

4932

εV

irV

inde

mia

trix

2.83

100

d.C

.50

0 d

.C.

1000

d.C

.A

R (

h)

Dec

(º)

Lo

n (

º)L

at (

º)A

R (

h)

Dec

(º)

Lo

n (

º)L

at (

º)A

R (

h)

Dec

(º)

Lo

n (

º)L

at (

º)1.

4220

3-4

.675

3817

.866

53-1

2.72

462

1.75

638

-2.6

3321

23.4

1842

-12.

6973

62.

1780

1-0

.209

8130

.371

22-1

2.66

172

12.1

3927

-37.

1020

919

8.64

486

-32.

7352

512

.486

73-3

9.34

110

204.

1633

2-3

2.77

714

12.9

3996

-42.

0950

121

1.07

603

-32.

8309

99.

4719

230

.169

4213

4.73

056

14.2

8928

9.85

937

28.3

1976

140.

3095

014

.302

0210

.330

3725

.846

3214

7.29

673

14.3

1537

14.9

2156

-4.7

5342

222.

7755

911

.612

1015

.270

39-6

.295

9822

8.32

749

11.5

6626

15.7

1300

-8.0

0036

235.

2802

511

.508

394.

1642

7-2

0.95

262

54.9

1829

-41.

3073

14.

4520

7-1

9.99

131

60.4

7433

-41.

2547

34.

8141

5-1

9.01

107

67.4

3051

-41.

1889

610

.672

36-7

.114

4516

4.43

998

-14.

4292

611

.002

99-9

.251

3616

9.95

567

-14.

4412

411

.418

31-1

1.98

581

176.

8638

5-1

4.45

857

10.6

3717

-40.

3111

018

1.27

897

-44.

3814

910

.934

01-4

2.44

185

186.

7756

7-4

4.40

587

11.3

1708

-45.

1670

119

3.66

131

-44.

4383

617

.020

19-2

9.96

113

257.

2071

7-6

.935

3717

.443

50-3

0.40

906

262.

7532

6-6

.988

0017

.976

90-3

0.62

124

269.

6995

8-7

.052

858.

5069

828

.143

5712

2.97

924

8.70

607

8.90

657

26.6

7161

128.

5685

08.

7322

79.

3943

124

.600

0213

5.56

869

8.76

258

13.6

3060

-0.9

2848

202.

9628

08.

7107

513

.970

40-2

.927

1820

8.50

510

8.66

723

14.4

0069

-5.2

8041

215.

4460

28.

6114

63.

8864

634

.347

3363

.491

1613

.565

004.

3167

635

.408

5469

.041

2013

.609

384.

8672

436

.406

3875

.992

7613

.664

5114

.319

78-1

2.73

541

216.

7582

41.

2431

814

.680

00-1

4.51

635

222.

3049

61.

1946

015

.139

64-1

6.54

304

229.

2516

81.

1330

50.

2341

210

.732

607.

5464

38.

4165

80.

5763

812

.950

3013

.090

988.

4290

11.

0110

315

.672

2520

.035

338.

4464

44.

5278

3-3

6.55

533

55.6

8427

-57.

6103

34.

7636

6-3

5.77

947

61.2

4742

-57.

5607

55.

0605

6-3

4.99

671

68.2

1071

-57.

4987

710

.968

88-1

2.84

640

171.

0014

9-1

7.94

174

11.2

9877

-15.

0371

017

6.53

389

-17.

9603

911

.715

65-1

7.81

827

183.

4631

1-1

7.98

600

14.2

0341

13.9

3205

205.

5013

425

.665

4214

.522

6612

.108

7721

1.07

939

25.6

3394

14.9

2409

9.99

765

218.

0642

525

.593

2723

.660

3049

.822

9121

.599

7846

.279

9323

.991

9052

.057

8227

.122

1346

.304

110.

4321

154

.844

3434

.040

6346

.335

7612

.386

7328

.658

7517

2.72

699

28.3

4810

12.7

1311

26.4

0049

178.

3121

828

.294

1213

.115

6323

.633

9718

5.30

628

28.2

2431

13.0

7475

-34.

0038

820

8.66

792

-24.

8151

513

.446

71-3

6.12

901

214.

1976

0-2

4.86

232

13.9

3132

-38.

6622

222

1.12

409

-24.

9224

42.

9744

827

.791

6550

.218

7610

.219

313.

3728

029

.301

6355

.762

4610

.268

593.

8847

830

.926

4862

.705

9210

.330

449.

4873

0-4

0.07

802

164.

3333

9-5

1.03

396

9.75

020

-41.

9032

516

9.82

612

-51.

0421

310

.084

26-4

4.30

099

176.

7064

1-5

1.05

471

11.0

6349

-58.

5965

320

4.18

446

-56.

3504

011

.348

68-6

0.79

192

209.

6760

1-5

6.39

226

11.7

2972

-63.

5703

721

6.55

692

-56.

4458

715

.436

18-3

3.15

671

237.

5875

7-1

3.74

195

15.8

5603

-34.

4562

124

3.13

197

-13.

7982

416

.395

60-3

5.77

886

250.

0764

8-1

3.86

852

6.17

286

-35.

0959

694

.090

36-5

8.74

130

6.40

593

-35.

2653

899

.594

43-5

8.69

362

6.69

829

-35.

6678

810

6.48

483

-58.

6355

713

.355

1336

.131

5418

1.51

992

40.7

4383

13.6

5267

34.0

6371

187.

1009

540

.721

4914

.020

5131

.587

0819

4.08

929

40.6

9148

16.3

4691

-28.

0080

124

8.13

259

-6.2

0682

16.7

6052

-28.

8406

525

3.68

237

-6.2

6350

17.2

8556

-29.

5529

526

0.63

328

-6.3

3381

18.2

6272

7.84

134

274.

5780

831

.460

6318

.580

298.

0877

128

0.11

131

31.4

1276

18.9

7751

8.65

356

287.

0400

931

.354

5314

.619

372.

9669

521

5.84

467

17.5

4275

14.9

5343

1.28

021

221.

3977

717

.480

3215

.376

06-0

.629

8022

8.35

172

17.4

0140

16.0

7449

66.2

6026

167.

0090

978

.488

6416

.121

6065

.195

1817

2.78

327

78.4

8205

16.1

9828

63.9

0620

180.

0093

978

.471

1811

.679

25-2

6.22

092

186.

9244

1-2

5.77

556

12.0

1205

-28.

4697

819

2.42

224

-25.

8238

512

.439

37-3

1.27

258

199.

3086

0-2

5.88

604

13.1

6212

-6.8

7669

198.

6917

10.

5622

113

.506

67-8

.989

8320

4.22

984

0.51

594

13.9

4433

-11.

5146

321

1.16

582

0.45

658

9.65

178

-55.

0007

218

3.18

550

-62.

0126

09.

8674

8-5

6.86

742

188.

6383

9-6

2.03

672

10.1

4183

-59.

2906

019

5.47

060

-62.

0687

94.

0609

9-9

.115

3456

.551

19-2

9.45

010

4.37

899

-8.1

0766

62.1

0282

-29.

3973

44.

7797

5-7

.090

8469

.054

32-2

9.33

141

15.1

5776

27.1

8427

214.

6119

742

.941

0715

.438

6725

.727

0822

0.17

165

42.8

9199

15.7

9140

24.0

9103

227.

1323

842

.829

7016

.178

157.

3536

023

8.92

381

28.1

0693

16.4

9988

6.42

706

244.

4683

228

.071

4316

.905

235.

5175

025

1.41

100

28.0

2719

13.6

3241

-32.

9549

121

5.11

529

-21.

0065

314

.016

77-3

4.94

907

220.

6504

5-2

1.05

546

14.5

1662

-37.

2718

322

7.58

369

-21.

1175

03.

5974

6-9

.434

0448

.873

93-2

8.06

773

3.91

577

-8.2

0196

54.4

1611

-28.

0246

64.

3171

6-6

.890

3561

.355

87-2

7.97

053

16.8

1988

54.6

1286

225.

2711

275

.510

4016

.958

7653

.971

6323

0.88

690

75.4

6198

17.1

3716

53.2

8344

237.

9097

675

.400

9720

.678

13-8

7.53

968

273.

6733

5-6

4.39

115

22.5

6712

-85.

6645

227

9.39

544

-64.

4768

523

.505

29-8

2.91

057

286.

5667

7-6

4.58

191

10.7

5915

-48.

2900

218

9.48

722

-50.

2600

311

.047

80-5

0.44

150

194.

9776

2-5

0.29

130

11.4

2431

-53.

1840

220

1.85

600

-50.

3321

66.

7799

0-2

0.40

769

105.

1799

7-4

3.46

964

7.06

269

-20.

9392

611

0.68

143

-43.

4250

57.

4166

1-2

1.82

570

117.

5702

5-4

3.37

121

15.5

0302

36.4

4317

215.

2872

353

.178

2415

.750

6335

.187

5422

0.78

440

53.1

6463

16.0

6141

33.7

8992

227.

6654

353

.146

9916

.529

22-2

3.93

228

249.

9110

0-1

.790

2616

.930

69-2

4.68

354

255.

4520

9-1

.863

8017

.438

94-2

5.30

076

262.

3919

3-1

.955

1614

.709

79-2

2.10

890

225.

0367

4-5

.869

6915

.091

46-2

3.73

746

230.

5806

5-5

.921

9515

.580

86-2

5.53

698

237.

5241

8-5

.987

7522

.621

194.

7702

134

2.78

218

12.5

6385

22.9

5467

6.89

905

348.

3164

312

.568

2523

.372

749.

6275

435

5.24

781

12.5

7617

11.4

4064

21.4

6883

163.

5770

416

.297

7811

.782

3919

.240

9716

9.10

964

16.2

8138

12.2

0383

16.4

4743

176.

0385

116

.258

49

CA

T.1

9

#B

SC

IdC

ost

No

me

Mag

139

1829

βLe

pN

ihal

2.84

140

1203

ζP

erM

enkh

ib2.

8514

158

97β

TrA

2.85

142

6461

βA

ra2.

8514

359

1α

Hyi

Hea

d of

Hyd

rus

2.86

144

8502

αT

uc2.

8614

511

65η

Tau

Alc

yone

2.87

146

7528

δC

yg2.

8714

783

22δ

Cap

Den

eb A

lgie

di2.

8714

822

86µ

Gem

Tej

at P

oste

rior

2.88

149

1220

εP

er2.

8915

056

71γ

TrA

2.89

151

5944

πS

co2.

8915

260

84σ

Sco

Al N

iyat

2.89

153

7264

πS

grA

lbal

dah

2.89

154

2845

βC

Mi

Gom

eisa

2.90

155

4915

α2

CV

nC

or C

arol

i2.

9015

682

32β

Aqr

Sad

alsu

ud2.

9115

791

5γ

Per

2.93

158

2553

τP

up2.

9315

986

50η

Peg

Mat

ar2.

9416

012

31γ

Eri

Zau

rak

2.95

161

4757

δC

rvA

lgor

ab2.

9516

265

10α

Ara

Cho

o2.

9516

384

14α

Aqr

Sad

alm

elik

2.96

164

2473

εG

emM

ebsu

ta2.

9816

538

73ε

Leo

Ras

Ela

sed

Aus

tr.

2.98

166

1605

εA

urM

aaz

2.99

167

6746

γ2

Sgr

Nas

h2.

9916

872

35ζ

Aql

Den

eb e

l Oka

b2.

9916

962

2β

Tri

3.00

170

1910

ζT

au3.

0017

146

30ε

Crv

Min

kar

3.00

172

5020

γH

ya3.

0017

311

22δ

Per

3.01

100

d.C

.50

0 d

.C.

1000

d.C

.A

R (

h)

Dec

(º)

Lo

n (

º)L

at (

º)A

R (

h)

Dec

(º)

Lo

n (

º)L

at (

º)A

R (

h)

Dec

(º)

Lo

n (

º)L

at (

º)4.

1283

2-2

3.98

809

53.2

0826

-44.

1152

64.

4082

0-2

3.01

571

58.7

6498

-44.

0730

64.

7601

5-2

2.01

458

65.7

2179

-44.

0201

92.

0204

624

.340

1436

.713

8211

.114

212.

3973

226

.216

7742

.255

2611

.159

372.

8826

628

.370

8449

.195

9011

.216

6413

.531

97-5

5.20

148

225.

4580

0-4

1.49

221

13.9

6677

-57.

2538

723

0.99

154

-41.

5872

014

.557

47-5

9.62

756

237.

9239

7-4

1.70

638

14.9

6693

-50.

6715

323

7.79

148

-32.

0017

315

.444

49-5

2.17

225

243.

3323

6-3

2.05

738

16.0

7404

-53.

7246

425

0.27

344

-32.

1268

50.

9574

6-7

1.39

744

315.

0754

8-6

4.12

157

1.18

277

-69.

2373

732

0.74

916

-64.

1505

41.

4541

6-6

6.59

904

327.

8560

3-6

4.18

405

19.6

6453

-67.

7398

128

3.11

682

-45.

2021

720

.310

30-6

6.62

783

288.

6869

1-4

5.24

721

21.0

4927

-64.

8260

829

5.66

475

-45.

3016

21.

9937

616

.451

2433

.566

833.

8579

22.

3574

218

.334

6539

.111

993.

8973

32.

8228

120

.506

9646

.056

963.

9475

718

.761

2541

.692

4629

0.13

833

64.5

7091

18.9

6901

42.2

0025

295.

6211

264

.535

1619

.229

0442

.999

8030

2.48

516

64.4

9249

19.9

7355

-23.

1824

129

7.03

012

-2.2

6201

20.3

6593

-22.

0122

930

2.59

347

-2.3

3652

20.8

4811

-20.

2920

430

9.56

123

-2.4

2740

4.48

404

20.9

9932

68.8

4297

-1.0

1224

4.87

786

21.7

4721

74.3

9536

-0.9

7095

5.37

604

22.3

6676

81.3

4920

-0.9

1991

1.98

265

32.4

9423

39.2

7765

18.8

9985

2.37

432

34.3

7896

44.8

1652

18.9

4420

2.88

280

36.5

3636

51.7

5432

19.0

0037

12.9

3092

-59.

6544

822

3.06

786

-47.

8464

513

.347

01-6

1.80

055

228.

5885

9-4

7.89

978

13.9

2272

-64.

3494

123

5.50

555

-47.

9669

814

.153

92-1

8.76

132

216.

5221

6-5

.236

3014

.522

76-2

0.59

909

222.

0655

7-5

.285

6214

.995

51-2

2.70

126

229.

0084

3-5

.348

1114

.509

48-1

8.99

599

221.

3783

3-3

.792

2714

.882

61-2

0.70

472

226.

9225

6-3

.843

1315

.360

45-2

2.62

162

233.

8663

9-3

.907

3217

.270

19-2

1.59

715

259.

8253

81.

6957

617

.667

44-2

1.91

186

265.

3709

21.

6398

418

.166

46-2

1.97

759

272.

3162

01.

5709

85.

7244

29.

9271

885

.808

99-1

3.69

463

6.08

853

9.97

701

91.3

4592

-13.

6491

86.

5443

39.

7395

198

.279

97-1

3.59

364

11.3

4898

48.8

2247

148.

0544

140

.123

0711

.705

4846

.604

0315

3.61

824

40.1

2602

12.1

3104

43.8

1598

160.

5863

340

.127

1519

.822

02-1

2.36

347

296.

9863

08.

7704

120

.187

42-1

1.24

111

302.

5282

68.

7347

220

.639

21-9

.590

4530

9.46

895

8.69

233

1.04

559

44.4

4430

33.6

7646

34.3

1390

1.43

231

46.5

6903

39.2

0274

34.3

5826

1.94

433

49.0

9677

46.1

2554

34.4

1465

6.04

800

-49.

3632

391

.607

71-7

3.04

168

6.21

233

-49.

4468

097

.097

07-7

3.00

017

6.41

863

-49.

6868

510

3.96

558

-72.

9496

521

.268

2221

.111

3832

9.45

893

35.1

3923

21.5

6878

22.8

5782

334.

9679

435

.129

4321

.946

7925

.183

0934

1.86

775

35.1

1968

2.50

776

-20.

4462

527

.321

77-3

3.34

175

2.81

243

-18.

7374

932

.894

45-3

3.31

395

3.19

478

-16.

7758

939

.872

20-3

3.27

796

10.8

9798

-5.9

3415

167.

1428

6-1

2.02

565

11.2

3024

-8.1

2488

172.

6635

0-1

2.05

855

11.6

4771

-10.

9109

217

9.57

780

-12.

1019

915

.209

27-4

5.44

224

238.

5231

0-2

6.27

280

15.6

6902

-46.

8427

124

4.06

374

-26.

3336

416

.268

30-4

8.27

076

251.

0042

0-2

6.40

955

20.4

4801

-7.6

4487

307.

1907

911

.377

5020

.800

43-6

.224

1131

2.72

949

11.3

4940

21.2

3656

-4.2

3829

319.

6661

511

.316

684.

7891

524

.468

7073

.508

971.

8301

65.

1939

125

.052

3979

.055

051.

8817

55.

7048

725

.452

4886

.001

141.

9454

87.

8781

730

.888

4311

4.26

048

9.57

115

8.29

073

29.7

2276

119.

8094

79.

6044

38.

7950

727

.992

9912

6.75

936

9.64

387

2.88

495

38.4

2671

52.4

2905

20.6

9972

3.31

157

39.9

7060

57.9

7031

20.7

5114

3.86

544

41.6

2136

64.9

1124

20.8

1555

16.0

9928

-27.

8463

424

4.85

533

-6.6

4283

16.5

0964

-28.

8287

225

0.39

617

-6.7

1682

17.0

3205

-29.

7382

425

7.33

592

-6.8

0889

17.6

3953

12.9

1233

263.

4416

036

.470

6117

.943

5612

.779

5826

8.97

402

36.4

0898

18.3

2491

12.8

6466

275.

9013

536

.333

110.

4021

525

.044

9115

.934

2620

.452

830.

7524

627

.257

9521

.477

0720

.477

631.

2034

729

.959

1928

.419

6920

.510

283.

7755

017

.621

5458

.353

79-2

.434

804.

1560

718

.757

7963

.900

38-2

.384

214.

6397

719

.894

2270

.846

92-2

.321

0910

.589

01-1

2.22

484

165.

3590

5-1

9.61

215

10.9

1540

-14.

3470

117

0.87

888

-19.

6219

711

.326

74-1

7.06

839

177.

7923

5-1

9.63

659

11.6

6601

-12.

6918

918

0.60

309

-13.

6167

012

.003

08-1

4.93

705

186.

1458

1-1

3.64

051

12.4

3067

-17.

7359

319

3.08

793

-13.

6723

71.

6596

739

.739

6338

.419

5927

.093

372.

0583

341

.718

1243

.954

2127

.136

322.

5813

344

.010

9150

.887

1127

.190

75

CA

T.2

0

#B

SC

IdC

ost

No

me

Mag

124

91α

CM

aS

irius

-1.4

62

2326

αC

arC

anop

us-0

.72

353

40α

Boo

Arc

turu

s-0

.04

454

59α

1C

enR

igel

Ken

taur

us-0

.01

570

01α

Lyr

Veg

a0.

036

1708

αA

urC

apel

la0.

087

1713

βO

riR

igel

0.12

829

43α

CM

iP

rocy

on0.

389

472

αE

riA

cher

nar

0.46

1020

61α

Ori

Bet

elge

use

0.50

1152

67β

Cen

Had

ar0.

6112

7557

αA

qlA

ltair

0.77

1314

57α

Tau

Ald

ebar

an0.

8514

6134

αS

coA

ntar

es0.

9615

5056

αV

irS

pica

0.98

1629

90β

Gem

Pol

lux

1.14

1787

28α

PsA

Fom

alha

ut1.

1618

4853

βC

ruM

imos

a1.

2519

7924

αC

ygD

eneb

1.25

2047

30α

1C

ruA

crux

1.33

2154

60α

2C

enP

roxi

ma

1.33

2239

82α

Leo

Reg

ulus

1.35

2326

18ε

CM

aA

dhar

a1.

5024

4763

γC

ruG

acru

x1.

6325

6527

λS

coS

haul

a1.

6326

1790

γO

riB

ella

trix

1.64

2717

91β

Tau

Eln

ath

1.65

2836

85β

Car

Mia

plac

idus

1.68

2919

03ε

Ori

Aln

ilam

1.70

3084

25α

Gru

Aln

air

1.74

3149

05ε

UM

aA

lioth

1.77

3232

07γ

2V

elR

egor

1.78

3310

17α

Per

Mirf

ak1.

7934

4301

αU

Ma

Dub

he1.

7935

2693

δC

Ma

Wez

en1.

8436

6879

εS

grK

aus

Aus

tral

is1.

8537

3307

εC

arA

vior

1.86

3851

91η

UM

aA

lkai

d1.

8639

6553

θS

coS

arga

s1.

8740

2088

βA

urM

enka

linan

1.90

4162

17α

TrA

Atr

ia1.

9242

2421

γG

emA

lhen

a1.

9343

7790

αP

avP

eaco

ck1.

9444

3485

δV

el1.

9645

2294

βC

Ma

Mirz

am1.

9846

2891

αG

emC

asto

r1.

98

1500

d.C

.20

00 d

.C.

AR

(h

)D

ec (

º)L

on

(º)

Lat

(º)

AR

(h

)D

ec (

º)L

on

(º)

Lat

(º)

6.38

496

-16.

1341

297

.194

74-3

9.49

386

6.75

247

-16.

7161

110

4.08

157

-39.

6052

56.

2145

6-5

2.47

528

98.0

6305

-75.

8891

86.

3991

9-5

2.69

583

104.

9605

5-7

5.82

406

13.8

8090

21.8

4368

197.

2528

031

.078

4514

.261

0319

.182

5020

4.23

369

30.7

3636

14.0

8040

-58.

6710

823

2.88

534

-42.

5229

314

.659

97-6

0.83

528

239.

4785

6-4

2.59

601

18.3

3427

38.3

9914

278.

3229

361

.758

2118

.615

6438

.783

6128

5.31

612

61.7

3280

4.66

762

45.3

1659

74.8

8104

22.8

5853

5.27

817

45.9

9806

81.8

5805

22.8

6432

4.84

288

-8.8

9251

69.8

4708

-31.

1872

85.

2423

1-8

.201

6776

.829

72-3

1.12

281

7.21

736

6.39

192

108.

8932

5-1

5.91

954

7.65

503

5.22

500

115.

7854

5-1

6.01

962

1.31

521

-59.

8130

433

8.22

363

-59.

3573

81.

6285

8-5

7.23

667

345.

3115

7-5

9.37

817

5.46

913

7.18

284

81.7

7544

-16.

0937

45.

9195

37.

4069

488

.754

58-1

6.02

713

13.4

9793

-57.

8821

922

6.85

078

-44.

0789

614

.063

72-6

0.37

306

233.

7922

5-4

4.13

768

19.4

3939

7.65

514

294.

7260

429

.319

9919

.846

398.

8683

330

1.77

643

29.3

0347

4.12

334

15.3

7644

62.8

0641

-5.5

0292

4.59

867

16.5

0917

69.7

8901

-5.4

6744

15.9

8334

-25.

1884

224

2.78

805

-4.5

0415

16.4

9011

-26.

4319

424

9.76

206

-4.5

6992

12.9

8384

-8.5

0925

196.

8709

8-2

.018

3413

.419

89-1

1.16

139

203.

8414

6-2

.054

527.

2412

029

.099

1610

6.31

084

6.64

582

7.75

525

28.0

2611

113.

2154

76.

6840

722

.494

91-3

2.23

089

326.

8315

6-2

1.07

345

22.9

6086

-29.

6222

233

3.86

045

-21.

1356

812

.325

37-5

6.93

167

214.

7241

3-4

8.58

834

12.7

9533

-59.

6886

122

1.64

572

-48.

6387

320

.406

9943

.556

1532

8.45

773

59.9

2917

20.6

9053

45.2

8028

335.

3290

959

.906

1211

.997

29-6

0.31

718

214.

9549

7-5

2.82

922

12.4

4331

-63.

0991

722

1.87

001

-52.

8789

114

.080

49-5

8.67

158

232.

8865

5-4

2.52

303

14.6

6003

-60.

8355

623

9.47

922

-42.

5960

99.

6928

514

.347

6014

2.88

417

0.44

698

10.1

3953

11.9

6722

149.

8290

90.

4648

46.

6498

7-2

8.38

396

103.

8199

3-5

1.42

034

6.97

708

-28.

9722

211

0.76

263

-51.

3603

812

.071

74-5

4.30

015

209.

7841

7-4

7.76

007

12.5

1942

-57.

1133

321

6.73

959

-47.

8313

716

.997

05-3

6.57

671

257.

6097

9-1

3.71

902

17.5

6014

-37.

1038

926

4.58

565

-13.

7885

24.

9732

05.

7696

373

.969

98-1

6.87

937

5.41

886

6.34

972

80.9

4662

-16.

8160

34.

9137

228

.035

3275

.597

715.

3442

45.

4381

928

.607

5082

.574

895.

3851

69.

1167

7-6

7.67

580

205.

2113

8-7

2.19

330

9.22

000

-69.

7172

221

1.96

894

-72.

2359

75.

1816

4-1

.642

8476

.485

79-2

4.57

152

5.60

356

-1.2

0194

83.4

6358

-24.

5064

121

.599

86-4

9.30

270

308.

8955

8-3

2.84

697

22.1

3722

-46.

9611

131

5.90

696

-32.

9133

912

.526

7158

.697

2115

1.85

799

54.2

9413

12.9

0047

55.9

5972

158.

9334

454

.318

647.

9019

4-4

5.92

539

140.

4957

3-6

4.49

611

8.15

889

-47.

3366

714

7.34

996

-64.

4641

72.

8236

847

.954

5455

.118

9230

.069

523.

4053

949

.861

1162

.081

0030

.125

3810

.523

1164

.407

5412

8.16

420

49.6

4944

11.0

6214

61.7

5083

135.

1976

449

.680

176.

8012

6-2

5.69

376

106.

4545

2-4

8.51

196

7.13

986

-26.

3933

311

3.39

615

-48.

4533

217

.849

60-3

4.45

958

268.

1053

7-1

0.97

022

18.4

0286

-34.

3847

227

5.07

847

-11.

0519

08.

2015

4-5

7.94

033

166.

3724

1-7

2.68

322

8.37

522

-59.

5097

217

3.12

965

-72.

6801

113

.460

3451

.851

3016

9.87

871

54.3

9685

13.7

9233

49.3

1333

176.

9329

654

.387

9717

.026

39-4

2.50

698

258.

6219

2-1

9.57

938

17.6

2200

-42.

9977

826

5.59

964

-19.

6450

65.

3821

844

.719

6582

.938

3021

.442

935.

9921

444

.947

5089

.910

3021

.508

2515

.955

55-6

7.87

709

253.

9235

8-4

6.08

169

16.8

1108

-69.

0277

826

0.89

590

-46.

1514

26.

1467

916

.686

9892

.124

04-6

.800

986.

6285

316

.399

1799

.104

59-6

.742

6519

.752

46-5

8.17

231

286.

8228

7-3

6.19

756

20.4

2747

-56.

7350

029

3.81

762

-36.

2675

78.

5144

3-5

2.92

744

162.

1027

6-6

7.19

879

8.74

506

-54.

7083

316

8.94

690

-67.

1974

76.

0117

7-1

7.81

373

90.2

2387

-41.

3178

26.

3783

3-1

7.95

583

97.1

8802

-41.

2536

37.

0409

232

.838

3310

3.27

757

10.0

5286

7.57

667

31.8

8833

110.

2406

510

.095

88

CA

T.2

1

#B

SC

IdC

ost

No

me

Mag

4737

48α

Hya

Alp

hard

1.98

4861

7α

Ari

Ham

al2.

0049

5958

TC

rB2.

0050

424

αU

Mi

Pol

aris

2.02

5171

21σ

Sgr

Nun

ki2.

0252

188

βC

etD

iphd

a2.

0453

1948

ζO

riA

lnita

k2.

0554

15α

And

Alp

hera

tz2.

0655

337

βA

ndM

irach

2.06

5620

04κ

Ori

Sai

ph2.

0657

5288

θC

enM

enke

nt2.

0658

5563

βU

Mi

Koc

hab

2.08

5965

56α

Oph

Ras

alha

gue

2.08

6086

36β

Gru

2.10

6193

6β

Per

Alg

ol2.

1262

4534

βLe

oD

eneb

ola

2.14

6348

19γ

Cen

Muh

lifai

n2.

1764

7796

γC

ygS

adr

2.20

6536

34λ

Vel

Suh

ail

2.21

6616

8α

Cas

Sch

edar

2.23

6718

52δ

Ori

Min

taka

2.23

6857

93α

CrB

Alp

hecc

a2.

2369

6705

γD

raE

ltani

n2.

2370

3165

ζP

upN

aos

2.25

7136

99ι

Car

Asp

idis

ke2.

2572

603

γ1

And

Alm

aak

2.26

7321

βC

asC

aph

2.27

7450

54ζ

UM

aM

izar

2.27

7562

41ε

Sco

2.29

7651

32ε

Cen

2.30

7754

69α

Lup

2.30

7854

40η

Cen

2.31

7959

53δ

Sco

Dsc

hubb

a2.

3280

4295

βU

Ma

Mer

ak2.

3781

99α

Phe

Ank

aa2.

3982

8308

εP

egE

nif

2.39

8365

80κ

Sco

2.41

8487

75β

Peg

Sch

eat

2.42

8563

78η

Oph

Sab

ik2.

4386

4554

γU

Ma

Pha

d2.

4487

8162

αC

epA

lder

amin

2.44

8828

27η

CM

aA

ludr

a2.

4589

7949

εC

ygG

iena

h C

ygni

2.46

9026

4γ

Cas

Tsi

h2.

4791

8781

αP

egM

arka

b2.

4992

3734

κV

elM

arka

b2.

50

1500

d.C

.20

00 d

.C.

AR

(h

)D

ec (

º)L

on

(º)

Lat

(º)

AR

(h

)D

ec (

º)L

on

(º)

Lat

(º)

9.04

979

-6.5

6692

140.

3300

3-2

2.41

765

9.45

978

-8.6

5861

147.

2790

4-2

2.38

246

1.65

531

21.0

3074

30.6

7888

9.94

936

2.11

956

23.4

6250

37.6

6249

9.96

520

15.6

4378

27.4

2469

223.

0868

645

.326

3815

.991

7225

.920

2823

0.10

028

45.2

7500

0.25

632

86.5

8646

81.5

8884

66.0

3748

2.53

019

89.2

6417

88.5

6767

66.1

0151

18.4

0318

-26.

7695

127

5.40

698

-3.3

7902

18.9

2108

-26.

2966

728

2.38

524

-3.4

4945

0.30

665

-20.

7508

935

5.55

051

-20.

7822

60.

7265

0-1

7.98

667

2.58

359

-20.

7836

55.

2596

7-2

.328

2477

.703

70-2

5.35

845

5.67

931

-1.9

4278

84.6

8119

-25.

2933

023

.713

9726

.328

767.

3569

425

.687

590.

1398

129

.090

5614

.308

6825

.680

490.

7035

032

.933

8623

.442

3225

.929

311.

1621

935

.620

5630

.405

1525

.943

395.

4014

1-9

.961

6879

.422

32-3

3.13

594

5.79

594

-9.6

6972

86.3

9868

-33.

0707

613

.628

36-3

3.84

064

215.

3805

7-2

1.94

426

14.1

1139

-36.

3700

022

2.30

872

-22.

0798

814

.898

3376

.192

3512

6.19

189

72.9

4430

14.8

4508

74.1

5556

133.

3193

072

.987

5717

.196

3713

.035

3425

5.44

736

35.9

3098

17.5

8225

12.5

6000

262.

4487

735

.835

1822

.201

81-4

9.44

425

315.

2988

9-3

5.38

887

22.7

1114

-46.

8847

232

2.32

738

-35.

4322

52.

6035

138

.920

0349

.204

2122

.371

983.

1361

440

.955

5656

.167

4522

.428

4711

.390

3417

.357

9216

4.68

303

12.3

0339

11.8

1767

14.5

7194

171.

6176

612

.266

8112

.242

40-4

6.19

493

205.

4040

3-4

0.11

416

12.6

9194

-48.

9597

221

2.31

692

-40.

1623

220

.071

8638

.726

6331

7.95

119

57.1

5849

20.3

7047

40.2

5667

324.

8414

957

.124

408.

8277

4-4

1.47

472

154.

3094

6-5

5.88

800

9.13

328

-43.

4325

016

1.18

775

-55.

8706

90.

2171

253

.775

6430

.857

9746

.584

380.

6751

456

.537

2237

.783

7646

.622

005.

1068

0-0

.193

8375

.418

26-2

3.02

064

5.53

344

-0.2

9917

82.3

6212

-23.

5531

015

.226

0428

.479

2021

5.24

982

44.3

7755

15.5

7814

26.7

1472

222.

2959

344

.323

6017

.750

7651

.603

1226

1.00

323

74.9

9027

17.9

4344

51.4

8889

267.

9690

274

.922

207.

7670

3-3

8.66

727

131.

6655

9-5

8.38

819

8.05

975

-40.

0033

313

8.55

120

-58.

3478

59.

0609

4-5

7.21

918

178.

5076

1-6

7.10

538

9.28

483

-59.

2752

818

5.32

637

-67.

1163

91.

5640

439

.860

0437

.270

6127

.765

842.

0650

042

.329

7244

.225

5627

.806

1723

.726

4956

.390

2828

.182

9351

.216

840.

1529

759

.149

7235

.116

6351

.214

9113

.058

9957

.570

4915

8.61

064

56.3

6247

13.3

9875

54.9

2528

165.

7000

956

.378

8016

.299

76-3

3.23

958

248.

4279

6-1

1.63

059

16.8

3606

-34.

2933

325

5.33

510

-11.

7386

213

.152

40-5

0.86

625

218.

6149

3-3

9.53

320

13.6

6478

-53.

4663

922

5.55

464

-39.

5860

614

.157

34-4

5.14

445

226.

5492

7-2

9.96

771

14.6

9883

-47.

3883

323

3.50

396

-30.

0259

414

.073

05-3

9.87

096

223.

2927

6-2

5.45

406

14.5

9178

-42.

1577

823

0.24

878

-25.

5129

715

.517

18-2

1.07

799

235.

5968

0-1

.922

6816

.005

56-2

2.62

167

242.

5712

0-1

.986

0210

.510

5259

.019

8513

2.40

185

45.0

8660

11.0

3069

56.3

8250

139.

4346

745

.133

080.

0202

8-4

5.03

102

338.

4764

5-4

0.56

317

0.43

806

-42.

3061

134

5.49

355

-40.

6331

021

.326

937.

6516

732

4.92

883

22.1

2828

21.7

3644

9.87

500

331.

8850

922

.099

8217

.134

05-3

8.60

554

259.

4937

2-1

5.57

510

17.7

0814

-39.

0300

026

6.46

953

-15.

6443

522

.662

1725

.401

5335

2.40

335

31.1

3014

23.0

6292

28.0

8278

359.

3743

431

.140

4416

.697

13-1

4.97

153

250.

9881

27.

2487

917

.172

97-1

5.72

472

257.

9696

27.

1979

911

.446

9856

.467

7214

3.42

915

47.1

0719

11.8

9717

53.6

9472

150.

4768

747

.141

4321

.110

4760

.503

515.

9339

468

.899

2321

.309

6762

.585

5612

.778

1568

.913

647.

0721

9-2

8.41

757

112.

6052

1-5

0.66

397

7.40

158

-29.

3030

611

9.53

645

-50.

6087

120

.434

3232

.171

4932

0.75

070

49.4

2833

20.7

7019

33.9

7028

327.

7457

249

.422

250.

4611

057

.979

3437

.003

2948

.767

920.

9451

460

.716

6743

.931

0048

.814

8722

.665

6712

.546

6534

6.52

691

19.4

1769

23.0

7936

15.2

0528

353.

4857

919

.405

969.

1110

2-5

2.92

253

172.

0513

4-6

3.71

902

9.36

856

-55.

0108

317

8.89

222

-63.

7218

5

CA

T.2

2

#B

SC

IdC

ost

No

me

Mag

9391

1α

Cet

Men

kar

2.53

9452

31ζ

Cen

Aln

air

2.55

9543

57δ

Leo

Zos

ma

2.56

9661

75ζ

Oph

Fie

ht2.

5697

1865

αLe

pA

rneb

2.58

9846

62γ

Crv

Gie

nah

2.59

9946

21δ

Cen

2.60

100

7194

ζS

grA

scel

la2.

6010

140

57γ

1Le

oA

lgie

ba2.

6110

256

85β

Lib

Zub

enel

sham

ali

2.61

103

2095

θA

urB

ogar

dus

2.62

104

5984

β1

Sco

Gra

ffias

2.62

105

553

βA

riS

hera

tan

2.64

106

1956

αC

olP

hact

2.64

107

4786

βC

rvK

raz

2.65

108

5854

αS

erU

nuka

lhai

2.65

109

403

δC

asR

ukba

h2.

6811

052

35η

Boo

Mup

hrid

2.68

111

5571

βLu

p2.

6811

215

77ι

Aur

Has

sale

h2.

6911

342

16µ

Vel

2.69

114

4798

αM

us2.

6911

565

08υ

Sco

Lesa

th2.

6911

627

73π

Pup

2.70

117

5506

εB

ooIz

ar2.

7011

868

59δ

Sgr

Nun

ki2.

7011

975

25γ

Aql

Tar

azed

2.72

120

6056

δO

phY

ed P

rior

2.74

121

6132

ηD

ra2.

7412

250

28ι

Cen

Ke

Kw

an2.

7512

355

31α

2Li

bZ

uben

elge

nubi

2.75

124

4199

θC

ar2.

7612

518

99ι

Ori

Nai

r al

Sai

f2.

7712

661

48β

Her

Kor

neph

oros

2.77

127

6603

βO

phC

elba

lrai

2.77

128

5776

γLu

p2.

7812

916

66β

Eri

Cur

sa2.

7913

065

36β

Dra

Alw

aid

2.79

131

98β

Hyi

2.80

132

4656

δC

ru2.

8013

331

85ρ

Pup

2.81

134

6212

ζH

er2.

8113

569

13λ

Sgr

Kau

s B

orea

lis2.

8113

661

65τ

Sco

Al N

iyat

2.82

137

39γ

Peg

Alg

enib

2.83

138

4932

εV

irV

inde

mia

trix

2.83

1500

d.C

.20

00 d

.C.

AR

(h

)D

ec (

º)L

on

(º)

Lat

(º)

AR

(h

)D

ec (

º)L

on

(º)

Lat

(º)

2.60

491

2.04

121

37.3

3861

-12.

6244

43.

0380

04.

0897

244

.320

25-1

2.58

562

13.4

1817

-44.

7599

321

8.00

527

-32.

8864

113

.925

67-4

7.28

833

224.

9506

3-3

2.94

330

10.7

8826

23.2

3379

154.

2992

314

.325

8611

.235

1420

.523

6116

1.31

663

14.3

3348

16.1

6283

-9.4

3182

242.

2475

411

.449

9816

.619

31-1

0.56

722

249.

2290

511

.391

185.

1787

2-1

8.28

563

74.3

9933

-41.

1232

65.

5455

0-1

7.82

222

81.3

8050

-41.

0577

411

.837

76-1

4.76

049

183.

7873

4-1

4.47

847

12.2

6344

-17.

5419

419

0.72

575

-14.

5008

711

.717

22-4

7.93

694

200.

5636

5-4

4.47

302

12.1

3931

-50.

7225

020

7.48

243

-44.

5097

518

.511

52-3

0.44

309

276.

6613

7-7

.116

5819

.043

53-2

9.88

028

283.

6382

9-7

.179

079.

8693

922

.309

5114

2.58

423

8.79

015

10.3

3286

19.8

4167

149.

6147

78.

8149

514

.838

15-7

.442

7222

2.40

165

8.55

428

15.2

8344

-9.3

8306

229.

3716

78.

4957

95.

4283

137

.013

5282

.960

1113

.719

165.

9953

637

.212

5089

.942

9413

.773

2215

.609

94-1

8.31

669

236.

2134

41.

0707

016

.090

61-1

9.80

556

243.

1899

21.

0076

41.

4551

818

.304

1926

.995

098.

4659

01.

9106

720

.808

0633

.969

988.

4872

85.

3596

8-3

4.42

690

75.1

8464

-57.

4368

95.

6608

1-3

4.07

417

82.1

6897

-57.

3752

312

.139

64-2

0.61

633

190.

4078

3-1

8.01

409

12.5

7311

-23.

3966

719

7.36

776

-18.

0445

915

.328

968.

0956

822

5.06

300

25.5

5124

15.7

3781

6.42

556

232.

0752

825

.507

970.

9083

557

.586

3140

.976

7046

.368

901.

4302

860

.235

2847

.930

1046

.403

4213

.514

3720

.957

1319

2.31

457

28.1

5198

13.9

1142

18.3

9778

199.

3366

628

.077

2014

.440

27-4

1.01

416

228.

0668

3-2

4.98

372

14.9

7553

-43.

1338

923

5.02

543

-25.

0460

94.

4112

332

.225

2669

.665

0010

.392

464.

9498

933

.166

1176

.639

3910

.454

5110

.426

43-4

6.81

254

183.

6029

8-5

1.06

985

10.7

7950

-49.

4200

019

0.51

564

-51.

0875

212

.148

17-6

6.36

286

223.

4564

2-5

6.50

080

12.6

1972

-69.

1355

623

0.37

411

-56.

5569

816

.949

10-3

6.73

426

257.

0368

0-1

3.93

858

17.5

1272

-37.

2958

326

4.01

256

-14.

0083

46.

9916

1-3

6.27

991

113.

3870

6-5

8.57

932

7.28

572

-37.

0975

012

0.30

097

-58.

5249

214

.385

6829

.250

4820

1.09

120

40.6

5922

14.7

4978

27.0

7417

208.

1062

740

.624

8017

.816

57-2

9.88

465

267.

5996

2-6

.403

4118

.349

92-2

9.82

806

274.

5810

9-6

.472

1919

.374

559.

4989

929

3.98

276

31.2

9812

19.7

7100

10.6

1333

300.

9390

631

.243

6315

.804

61-2

.295

7823

5.31

990

17.3

2160

16.2

3908

-3.6

9444

242.

3019

817

.241

0516

.291

8762

.675

6118

7.24

440

78.4

5747

16.3

9986

61.5

1417

194.

4872

778

.441

0112

.882

07-3

4.03

303

206.

2108

7-2

5.95

018

13.3

4328

-36.

7122

221

3.12

875

-26.

0161

914

.391

08-1

3.87

703

218.

1168

50.

3956

114

.847

97-1

6.04

167

225.

0825

80.

3331

610

.423

59-6

1.80

348

202.

3210

7-6

2.10

292

10.7

1594

-64.

3944

420

9.18

940

-62.

1390

25.

1837

9-6

.355

2276

.019

34-2

9.26

564

5.59

056

-5.9

1000

82.9

9761

-29.

2001

216

.146

3322

.674

3023

4.10

569

42.7

6650

16.5

0367

21.4

8972

241.

0912

542

.702

5117

.313

684.

8948

625

8.36

731

27.9

8323

17.7

2456

4.56

722

265.

3369

627

.939

6615

.039

44-3

9.36

089

234.

5330

3-2

1.18

043

15.5

8569

-41.

1669

424

1.49

818

-21.

2441

34.

7223

1-5

.847

4568

.309

26-2

7.91

618

5.13

083

-5.0

8639

75.2

7597

-27.

8617

217

.320

2252

.725

4224

4.93

644

75.3

3954

17.5

0722

52.3

0139

251.

9667

875

.277

830.

0360

8-8

0.07

936

293.

7589

9-6

4.68

459

0.42

919

-77.

2541

730

0.97

161

-64.

7848

011

.823

45-5

5.96

284

208.

7517

8-5

0.37

493

12.2

5242

-58.

7488

921

5.66

472

-50.

4194

97.

7709

3-2

2.95

085

124.

4727

1-4

3.31

952

8.12

572

-24.

3041

713

1.38

859

-43.

2700

216

.373

8732

.592

2523

4.55

730

53.1

2876

16.6

8811

31.6

0306

241.

4596

353

.110

0517

.951

78-2

5.54

838

269.

3469

8-2

.045

7918

.466

17-2

5.42

167

276.

3169

4-2

.135

5816

.083

50-2

7.04

068

244.

4831

0-6

.053

9616

.598

06-2

8.21

611

251.

4570

9-6

.120

4723

.794

0412

.400

342.

1945

112

.586

730.

2206

115

.183

619.

1562

312

.599

8712

.621

0813

.675

8918

2.98

217

16.2

3301

13.0

3628

10.9

5917

189.

9402

516

.204

99

CA

T.2

3

#B

SC

IdC

ost

No

me

Mag

139

1829

βLe

pN

ihal

2.84

140

1203

ζP

erM

enkh

ib2.

8514

158

97β

TrA

2.85

142

6461

βA

ra2.

8514

359

1α

Hyi

Hea

d of

Hyd

rus

2.86

144

8502

αT

uc2.

8614

511

65η

Tau

Alc

yone

2.87

146

7528

δC

yg2.

8714

783

22δ

Cap

Den

eb A

lgie

di2.

8714

822

86µ

Gem

Tej

at P

oste

rior

2.88

149

1220

εP

er2.

8915

056

71γ

TrA

2.89

151

5944

πS

co2.

8915

260

84σ

Sco

Al N

iyat

2.89

153

7264

πS

grA

lbal

dah

2.89

154

2845

βC

Mi

Gom

eisa

2.90

155

4915

α2

CV

nC

or C

arol

i2.

9015

682

32β

Aqr

Sad

alsu

ud2.

9115

791

5γ

Per

2.93

158

2553

τP

up2.

9315

986

50η

Peg

Mat

ar2.

9416

012

31γ

Eri

Zau

rak

2.95

161

4757

δC

rvA

lgor

ab2.

9516

265

10α

Ara

Cho

o2.

9516

384

14α

Aqr

Sad

alm

elik

2.96

164

2473

εG

emM

ebsu

ta2.

9816

538

73ε

Leo

Ras

Ela

sed

Aus

tr.

2.98

166

1605

εA

urM

aaz

2.99

167

6746

γ2

Sgr

Nas

h2.

9916

872

35ζ

Aql

Den

eb e

l Oka

b2.

9916

962

2β

Tri

3.00

170

1910

ζT

au3.

0017

146

30ε

Crv

Min

kar

3.00

172

5020

γH

ya3.

0017

311

22δ

Per

3.01

1500

d.C

.20

00 d

.C.

AR

(h

)D

ec (

º)L

on

(º)

Lat

(º)

AR

(h

)D

ec (

º)L

on

(º)

Lat

(º)

5.11

440

-21.

2601

372

.690

99-4

3.96

731

5.47

075

-20.

7594

479

.672

28-4

3.91

454

3.38

439

30.2

7327

56.1

5218

11.2

7472

3.90

219

31.8

8361

63.1

2377

11.3

3349

15.2

0711

-61.

7156

824

4.87

391

-41.

8259

715

.919

03-6

3.43

056

251.

8410

2-4

1.94

583

16.7

3584

-54.

8607

625

7.23

139

-32.

1961

217

.421

67-5

5.53

000

264.

2058

8-3

2.26

506

1.71

870

-64.

0395

833

4.97

928

-64.

2145

71.

9795

0-6

1.56

972

342.

1182

9-6

4.24

208

21.7

1264

-62.

6701

830

2.65

969

-45.

3538

622

.308

36-6

0.25

972

309.

6712

8-4

5.40

388

3.30

082

22.4

4242

53.0

1722

3.99

876

3.79

142

24.1

0500

59.9

9245

4.05

080

19.4

8928

43.9

7843

309.

3613

764

.452

1119

.749

5845

.130

8331

6.24

964

64.4

1407

21.3

2072

-18.

3180

531

6.54

431

-2.5

1576

21.7

8400

-16.

1272

232

3.54

241

-2.6

0155

5.87

854

22.6

2398

88.3

1811

-0.8

6958

6.38

267

22.5

1361

95.3

0179

-0.8

2010

3.41

294

38.4

2907

58.7

0815

19.0

5722

3.96

422

40.0

1028

65.6

7771

19.1

1464

14.5

7416

-66.

6757

824

2.44

060

-48.

0346

815

.315

17-6

8.67

944

249.

3934

4-4

8.10

277

15.4

8165

-24.

5516

523

5.96

662

-5.4

1143

15.9

8086

-26.

1141

724

2.93

984

-5.4

7544

15.8

5091

-24.

2619

824

0.82

552

-3.9

7211

16.3

5314

-25.

5927

824

7.79

954

-4.0

3736

18.6

6574

-21.

6790

227

9.27

656

1.50

337

19.1

6272

-21.

0236

128

6.25

168

1.43

709

6.99

945

9.17

354

105.

2286

0-1

3.53

959

7.45

250

8.28

944

112.

1915

1-1

3.48

712

12.5

3906

41.0

4380

167.

5693

640

.125

4912

.933

8138

.318

3317

4.56

687

40.1

2105

21.0

8532

-7.6

9043

316.

4246

28.

6524

521

.525

97-5

.571

1132

3.39

496

8.61

512

2.49

238

51.4

3002

53.0

6521

34.4

7198

3.07

994

53.5

0639

60.0

2146

34.5

3014

6.62

545

-50.

0767

311

0.84

220

-72.

9007

16.

8322

8-5

0.61

472

117.

7269

1-7

2.85

334

22.3

2882

27.6

4556

348.

7829

135

.112

6622

.716

6930

.221

3935

5.71

317

35.1

0837

3.57

954

-15.

0267

246

.863

37-3

3.24

069

3.96

717

-13.

5086

153

.867

64-3

3.20

226

12.0

6950

-13.

7191

718

6.50

739

-12.

1479

412

.497

75-1

6.51

556

193.

4519

5-1

2.19

634

16.8

9108

-49.

2948

125

7.96

115

-26.

4852

217

.530

69-4

9.87

611

264.

9342

7-2

6.56

053

21.6

6827

-2.0

4673

326.

6178

111

.286

6522

.096

39-0

.319

7233

3.35

237

10.6

6175

6.21

866

25.4

7867

92.9

6246

2.00

825

6.73

219

25.1

3111

99.9

3869

2.06

995

9.28

617

25.9

9651

133.

7246

59.

6808

59.

7641

923

.774

1714

0.70

499

9.71

533

4.44

042

42.9

1900

71.8

6835

20.8

8002

5.03

281

43.8

2333

78.8

4131

20.9

4442

17.5

6227

-30.

2742

626

4.29

113

-6.9

0040

18.0

9681

-30.

4241

727

1.26

148

-6.9

9123

18.7

0728

13.2

2738

282.

8420

736

.258

6019

.090

1713

.863

3328

9.79

594

36.1

8558

1.67

154

32.5

5019

35.3

7825

20.5

4465

2.15

906

34.9

8722

42.3

5246

20.5

8065

5.13

090

20.6

9455

77.8

0846

-2.2

5820

5.62

742

21.1

4250

84.7

8469

-2.1

9567

11.7

4377

-19.

8369

118

4.72

130

-19.

6537

812

.168

75-2

2.61

972

191.

6654

2-1

9.67

348

12.8

6735

-20.

4932

420

0.04

555

-13.

7064

813

.315

36-2

3.17

167

207.

0183

7-1

3.74

275

3.13

355

46.0

5279

57.8

3649

27.2

4592

3.71

542

47.7

8750

64.8

0205

27.3

0169

CA

T.2

4

83

Catalogo di Yale

Sono qui riportate le coordinate (J2000.0) delle 200 stelle più brillanti tratte dallo Yale Bright Star Catalogue (online su: Astronomical Data Center - NASA, http://adc.gsfc.nasa.gov/adc-cgi/cat.pl?/catalogs/5/5050/

#H

Rid

Co

stN

om

em

agp

mA

Rp

mD

eP

aral

lxV

Rad

AR

Dec

Lo

nL

ath

ms

° '

" ar

csec

/yr

arcs

ec/y

rar

csec

km/s

(h.d

ecim

)(°

.dec

im)

(°.d

ecim

)(°

.dec

im)

124

91α

CM

aS

irius

-1.4

66

458.

9-

1642

58-0

.553

-1.2

050.

375

-86.

7524

7-1

6.71

611

104.

0815

7-3

9.60

525

223

26α

Car

Can

opus

-0.7

26

2357

.1-

5241

450.

022

0.02

10.

028

216.

3991

9-5

2.69

583

104.

9605

5-7

5.82

406

353

40α

Boo

Arc

turu

s-0

.04

1415

39.7

+19

1057

-1.0

93-1

.998

0.09

0-5

14.2

6103

19.1

8250

204.

2336

930

.736

364

5459

α1

Cen

Rig

el K

enta

urus

-0.0

114

3935

.9-

6050

7-3

.642

0.69

90.

751

-22

14.6

5997

-60.

8352

823

9.47

856

-42.

5960

15

7001

αLy

rV

ega

0.03

1836

56.3

+38

471

0.20

20.

286

0.12

3-1

418

.615

6438

.783

6128

5.31

612

61.7

3280

617

08α

Aur

Cap

ella

0.08

516

41.4

+45

5953

0.07

6-0

.425

0.07

330

5.27

817

45.9

9806

81.8

5805

22.8

6432

717

13β

Ori

Rig

el0.

125

1432

.3-

812

60.

000

-0.0

010.

013

215.

2423

1-8

.201

6776

.829

72-3

1.12

281

829

43α

CM

iP

rocy

on0.

387

3918

.1+

513

30-0

.710

-1.0

230.

288

-37.

6550

35.

2250

011

5.78

545

-16.

0196

29

472

αE

riA

cher

nar

0.46

137

42.9

-57

1412

0.09

5-0

.035

0.02

616

1.62

858

-57.

2366

734

5.31

157

-59.

3781

710

2061

αO

riB

etel

geus

e0.

505

5510

.3+

724

250.

026

0.00

90.

005

215.

9195

37.

4069

488

.754

58-1

6.02

713

1152

67β

Cen

Had

ar0.

6114

349

.4-

6022

23-0

.032

-0.0

190.

009

614

.063

72-6

0.37

306

233.

7922

5-4

4.13

768

1275

57α

Aql

Alta

ir0.

7719

5047

.0+

852

60.

538

0.38

60.

198

-26

19.8

4639

8.86

833

301.

7764

329

.303

4713

1457

αT

auA

ldeb

aran

0.85

435

55.2

+16

3033

0.06

3-0

.190

0.04

854

4.59

867

16.5

0917

69.7

8901

-5.4

6744

1461

34α

Sco

Ant

ares

0.96

1629

24.4

-26

2555

-0.0

10-0

.020

0.02

4-3

16.4

9011

-26.

4319

424

9.76

206

-4.5

6992

1550

56α

Vir

Spi

ca0.

9813

2511

.6-

119

41-0

.041

-0.0

280.

023

113

.419

89-1

1.16

139

203.

8414

6-2

.054

5216

2990

βG

emP

ollu

x1.

147

4518

.9+

281

34-0

.628

-0.0

460.

094

37.

7552

528

.026

1111

3.21

547

6.68

407

1787

28α

PsA

Fom

alha

ut1.

1622

5739

.1-

2937

200.

333

-0.1

650.

149

722

.960

86-2

9.62

222

333.

8604

5-2

1.13

568

1848

53β

Cru

Mim

osa

1.25

1247

43.2

-59

4119

-0.0

48-0

.014

1612

.795

33-5

9.68

861

221.

6457

2-4

8.63

873

1979

24α

Cyg

Den

eb1.

2520

4125

.9+

4516

490.

003

0.00

2-0

.006

-520

.690

5345

.280

2833

5.32

909

59.9

0612

2047

30α

1C

ruA

crux

1.33

1226

35.9

-63

557

-0.0

36-0

.012

0.00

8-1

112

.443

31-6

3.09

917

221.

8700

1-5

2.87

891

2154

60α

2C

enP

roxi

ma

1.33

1439

36.1

-60

508

-3.6

460.

700

0.75

1-2

114

.660

03-6

0.83

556

239.

4792

2-4

2.59

609

2239

82α

Leo

Reg

ulus

1.35

108

22.3

+11

582

-0.2

480.

006

0.04

56

10.1

3953

11.9

6722

149.

8290

90.

4648

423

2618

εC

Ma

Adh

ara

1.50

658

37.5

-28

5820

0.00

40.

003

0.00

127

6.97

708

-28.

9722

211

0.76

263

-51.

3603

824

4763

γC

ruG

acru

x1.

6312

319.

9-

576

480.

023

-0.2

6221

12.5

1942

-57.

1133

321

6.73

959

-47.

8313

725

6527

λS

coS

haul

a1.

6317

3336

.5-

376

14-0

.001

-0.0

29-3

17.5

6014

-37.

1038

926

4.58

565

-13.

7885

226

1790

γO

riB

ella

trix

1.64

525

7.9

+6

2059

-0.0

09-0

.014

0.02

918

5.41

886

6.34

972

80.9

4662

-16.

8160

327

1791

βT

auE

lnat

h1.

655

2617

.5+

2836

270.

022

-0.1

750.

028

95.

4381

928

.607

5082

.574

895.

3851

628

3685

βC

arM

iapl

acid

us1.

689

1312

.0-

6943

2-0

.162

0.10

80.

021

-59.

2200

0-6

9.71

722

211.

9689

4-7

2.23

597

2919

03ε

Ori

Aln

ilam

1.70

536

12.8

-1

127

0.00

1-0

.002

-0.0

0226

5.60

356

-1.2

0194

83.4

6358

-24.

5064

130

8425

αG

ruA

lnai

r1.

7422

814

.0-

4657

400.

129

-0.1

510.

057

1222

.137

22-4

6.96

111

315.

9069

6-3

2.91

339

3149

05ε

UM

aA

lioth

1.77

1254

1.7

+55

5735

0.11

2-0

.006

0.00

9-9

12.9

0047

55.9

5972

158.

9334

454

.318

6432

3207

γ2

Vel

Reg

or1.

788

932

.0-

4720

12-0

.004

0.00

60.

017

358.

1588

9-4

7.33

667

147.

3499

6-6

4.46

417

3310

17α

Per

Mirf

ak1.

793

2419

.4+

4951

400.

024

-0.0

250.

016

-23.

4053

949

.861

1162

.081

0030

.125

3834

4301

αU

Ma

Dub

he1.

7911

343

.7+

6145

3-0

.119

-0.0

670.

038

-911

.062

1461

.750

8313

5.19

764

49.6

8017

3526

93δ

CM

aW

ezen

1.84

78

23.5

-26

2336

-0.0

030.

004

-0.0

1134

7.13

986

-26.

3933

311

3.39

615

-48.

4533

236

6879

εS

grK

aus

Aus

tral

is1.

8518

2410

.3-

3423

5-0

.038

-0.1

240.

023

-15

18.4

0286

-34.

3847

227

5.07

847

-11.

0519

037

3307

εC

arA

vior

1.86

822

30.8

-59

3035

-0.0

260.

014

28.

3752

2-5

9.50

972

173.

1296

5-7

2.68

011

3851

91η

UM

aA

lkai

d1.

8613

4732

.4+

4918

48-0

.122

-0.0

110.

035

-11

13.7

9233

49.3

1333

176.

9329

654

.387

9739

6553

θS

coS

arga

s1.

8717

3719

.2-

4259

520.

015

-0.0

020.

027

117

.622

00-4

2.99

778

265.

5996

4-1

9.64

506

4020

88β

Aur

Men

kalin

an1.

905

5931

.7+

4456

51-0

.057

0.00

00.

041

-18

5.99

214

44.9

4750

89.9

1030

21.5

0825

4162

17α

TrA

Atr

ia1.

9216

4839

.9-

691

400.

014

-0.0

340.

031

-316

.811

08-6

9.02

778

260.

8959

0-4

6.15

142

AR

D

ec

BS

C.1

#H

Rid

Co

stN

om

em

agp

mA

Rp

mD

eP

aral

lxV

Rad

AR

Dec

Lo

nL

ath

ms

° '

" ar

csec

/yr

arcs

ec/y

rar

csec

km/s

(h.d

ecim

)(°

.dec

im)

(°.d

ecim

)(°

.dec

im)

AR

D

ec

4224

21γ

Gem

Alh

ena

1.93

637

42.7

+16

2357

0.04

2-0

.042

0.03

3-1

36.

6285

316

.399

1799

.104

59-6

.742

6543

7790

αP

avP

eaco

ck1.

9420

2538

.9-

5644

60.

007

-0.0

892

20.4

2747

-56.

7350

029

3.81

762

-36.

2675

744

3485

δV

el1.

968

4442

.2-

5442

300.

023

-0.0

780.

051

28.

7450

6-5

4.70

833

168.

9469

0-6

7.19

747

4522

94β

CM

aM

irzam

1.98

622

42.0

-17

5721

-0.0

060.

000

0.01

934

6.37

833

-17.

9558

397

.188

02-4

1.25

363

4628

91α

Gem

Cas

tor

1.98

734

36.0

+31

5318

-0.1

71-0

.098

0.06

76

7.57

667

31.8

8833

110.

2406

510

.095

8847

3748

αH

yaA

lpha

rd1.

989

2735

.2-

839

31-0

.014

0.03

30.

022

-49.

4597

8-8

.658

6114

7.27

904

-22.

3824

648

617

αA

riH

amal

2.00

27

10.4

+23

2745

0.19

0-0

.148

0.04

9-1

42.

1195

623

.462

5037

.662

499.

9652

049

5958

TC

rB2.

0015

5930

.2+

2555

13-0

.005

0.01

3-2

915

.991

7225

.920

2823

0.10

028

45.2

7500

5042

4α

UM

iP

olar

is2.

022

3148

.7+

8915

510.

038

-0.0

150.

007

-17

2.53

019

89.2

6417

88.5

6767

66.1

0151

5171

21σ

Sgr

Nun

ki2.

0218

5515

.9-

2617

480.

013

-0.0

54-1

118

.921

08-2

6.29

667

282.

3852

4-3

.449

4552

188

βC

etD

iphd

a2.

040

4335

.4-

1759

120.

234

0.03

30.

061

130.

7265

0-1

7.98

667

2.58

359

-20.

7836

553

1948

ζO

riA

lnita

k2.

055

4045

.5-

156

340.

003

-0.0

020.

024

185.

6793

1-1

.942

7884

.681

19-2

5.29

330

5415

αA

ndA

lphe

ratz

2.06

08

23.3

+29

526

0.13

6-0

.163

0.03

2-1

20.

1398

129

.090

5614

.308

6825

.680

4955

337

βA

ndM

irach

2.06

19

43.9

+35

3714

0.17

8-0

.114

0.04

93

1.16

219

35.6

2056

30.4

0515

25.9

4339

5620

04κ

Ori

Sai

ph2.

065

4745

.4-

940

110.

002

-0.0

020.

015

215.

7959

4-9

.669

7286

.398

68-3

3.07

076

5752

88θ

Cen

Men

kent

2.06

146

41.0

-36

2212

-0.5

19-0

.519

0.06

51

14.1

1139

-36.

3700

022

2.30

872

-22.

0798

858

5563

βU

Mi

Koc

hab

2.08

1450

42.3

+74

920

-0.0

310.

012

0.03

917

14.8

4508

74.1

5556

133.

3193

072

.987

5759

6556

αO

phR

asal

hagu

e2.

0817

3456

.1+

1233

360.

120

-0.2

260.

067

1317

.582

2512

.560

0026

2.44

877

35.8

3518

6086

36β

Gru

2.10

2242

40.1

-46

535

0.13

7-0

.008

0.00

82

22.7

1114

-46.

8847

232

2.32

738

-35.

4322

561

936

βP

erA

lgol

2.12

38

10.1

+40

5720

0.00

4-0

.001

0.04

54

3.13

614

40.9

5556

56.1

6745

22.4

2847

6245

34β

Leo

Den

ebol

a2.

1411

493.

6+

1434

19-0

.497

-0.1

140.

082

011

.817

6714

.571

9417

1.61

766

12.2

6681

6348

19γ

Cen

Muh

lifai

n2.

1712

4131

.0-

4857

35-0

.189

-0.0

050.

016

-612

.691

94-4

8.95

972

212.

3169

2-4

0.16

232

6477

96γ

Cyg

Sad

r2.

2020

2213

.7+

4015

240.

004

0.00

00.

003

-820

.370

4740

.256

6732

4.84

149

57.1

2440

6536

34λ

Vel

Suh

ail

2.21

97

59.8

-43

2557

-0.0

190.

013

0.02

218

9.13

328

-43.

4325

016

1.18

775

-55.

8706

966

168

αC

asS

ched

ar2.

230

4030

.5+

5632

140.

053

-0.0

320.

016

-40.

6751

456

.537

2237

.783

7646

.622

0067

1852

δO

riM

inta

ka2.

235

320.

4-

017

570.

001

-0.0

020.

014

165.

5334

4-0

.299

1782

.362

12-2

3.55

310

6857

93α

CrB

Alp

hecc

a2.

2315

3441

.3+

2642

530.

121

-0.0

890.

045

215

.578

1426

.714

7222

2.29

593

44.3

2360

6967

05γ

Dra

Elta

nin

2.23

1756

36.4

+51

2920

-0.0

08-0

.019

0.02

5-2

817

.943

4451

.488

8926

7.96

902

74.9

2220

7031

65ζ

Pup

Nao

s2.

258

335

.1-

400

12-0

.027

0.01

2-2

48.

0597

5-4

0.00

333

138.

5512

0-5

8.34

785

7136

99ι

Car

Asp

idis

ke2.

259

175.

4-

5916

31-0

.020

0.00

80.

017

139.

2848

3-5

9.27

528

185.

3263

7-6

7.11

639

7260

3γ

1A

ndA

lmaa

k2.

262

354

.0+

4219

470.

045

-0.0

520.

013

-12

2.06

500

42.3

2972

44.2

2556

27.8

0617

7321

βC

asC

aph

2.27

09

10.7

+59

859

0.52

5-0

.181

0.07

212

0.15

297

59.1

4972

35.1

1663

51.2

1491

7450

54ζ

UM

aM

izar

2.27

1323

55.5

+54

5531

0.12

2-0

.020

0.04

7-6

13.3

9875

54.9

2528

165.

7000

956

.378

8075

6241

εS

co2.

2916

509.

8-

3417

36-0

.611

-0.2

550.

022

-316

.836

06-3

4.29

333

255.

3351

0-1

1.73

862

7651

32ε

Cen

2.30

1339

53.2

-53

2759

-0.0

28-0

.016

313

.664

78-5

3.46

639

225.

5546

4-3

9.58

606

7754

69α

Lup

2.30

1441

55.8

-47

2318

-0.0

21-0

.018

514

.698

83-4

7.38

833

233.

5039

6-3

0.02

594

7854

40η

Cen

2.31

1435

30.4

-42

928

-0.0

35-0

.035

014

.591

78-4

2.15

778

230.

2487

8-2

5.51

297

7959

53δ

Sco

Dsc

hubb

a2.

3216

020

.0-

2237

18-0

.012

-0.0

22-7

16.0

0556

-22.

6216

724

2.57

120

-1.9

8602

8042

95β

UM

aM

erak

2.37

111

50.5

+56

2257

0.08

20.

034

0.05

3-1

211

.030

6956

.382

5013

9.43

467

45.1

3308

8199

αP

heA

nkaa

2.39

026

17.0

-42

1822

0.20

3-0

.396

0.03

575

0.43

806

-42.

3061

134

5.49

355

-40.

6331

082

8308

εP

egE

nif

2.39

2144

11.2

+9

5230

0.03

1-0

.001

0.00

65

21.7

3644

9.87

500

331.

8850

922

.099

8283

6580

κS

co2.

4117

4229

.3-

391

48-0

.006

-0.0

27-1

417

.708

14-3

9.03

000

266.

4695

3-1

5.64

435

BS

C.2

#H

Rid

Co

stN

om

em

agp

mA

Rp

mD

eP

aral

lxV

Rad

AR

Dec

Lo

nL

ath

ms

° '

" ar

csec

/yr

arcs

ec/y

rar

csec

km/s

(h.d

ecim

)(°

.dec

im)

(°.d

ecim

)(°

.dec

im)

AR

D

ec

8487

75β

Peg

Sch

eat

2.42

233

46.5

+28

458

0.18

90.

137

0.02

29

23.0

6292

28.0

8278

359.

3743

431

.140

4485

6378

ηO

phS

abik

2.43

1710

22.7

-15

4329

0.03

90.

098

0.05

2-1

17.1

7297

-15.

7247

225

7.96

962

7.19

799

8645

54γ

UM

aP

had

2.44

1153

49.8

+53

4141

0.09

50.

012

0.02

8-1

311

.897

1753

.694

7215

0.47

687

47.1

4143

8781

62α

Cep

Ald

eram

in2.

4421

1834

.8+

6235

80.

151

0.04

90.

068

-10

21.3

0967

62.5

8556

12.7

7815

68.9

1364

8828

27η

CM

aA

ludr

a2.

457

245.

7-

2918

11-0

.004

0.00

541

7.40

158

-29.

3030

611

9.53

645

-50.

6087

189

7949

εC

ygG

iena

h C

ygni

2.46

2046

12.7

+33

5813

0.35

60.

328

0.05

7-1

120

.770

1933

.970

2832

7.74

572

49.4

2225

9026

4γ

Cas

Tsi

h2.

470

5642

.5+

6043

00.

026

-0.0

050.

016

-70.

9451

460

.716

6743

.931

0048

.814

8791

8781

αP

egM

arka

b2.

4923

445

.7+

1512

190.

063

-0.0

420.

038

-423

.079

3615

.205

2835

3.48

579

19.4

0596

9237

34κ

Vel

Mar

kab

2.50

922

6.8

-55

039

-0.0

080.

009

0.01

322

9.36

856

-55.

0108

317

8.89

222

-63.

7218

593

911

αC

etM

enka

r2.

533

216

.8+

45

23-0

.009

-0.0

780.

009

-26

3.03

800

4.08

972

44.3

2025

-12.

5856

294

5231

ζC

enA

lnai

r2.

5513

5532

.4-

4717

18-0

.057

-0.0

427

13.9

2567

-47.

2883

322

4.95

063

-32.

9433

095

4357

δLe

oZ

osm

a2.

5611

146.

5+

2031

250.

142

-0.1

300.

048

-20

11.2

3514

20.5

2361

161.

3166

314

.333

4896

6175

ζO

phF

ieht

2.56

1637

9.5

-10

342

0.01

40.

026

0.00

3-1

516

.619

31-1

0.56

722

249.

2290

511

.391

1897

1865

αLe

pA

rneb

2.58

532

43.8

-17

4920

0.00

10.

002

0.00

724

5.54

550

-17.

8222

281

.380

50-4

1.05

774

9846

62γ

Crv

Gie

nah

2.59

1215

48.4

-17

3231

-0.1

610.

023

-412

.263

44-1

7.54

194

190.

7257

5-1

4.50

087

9946

21δ

Cen

2.60

128

21.5

-50

4321

-0.0

34-0

.008

0.02

611

12.1

3931

-50.

7225

020

7.48

243

-44.

5097

510

071

94ζ

Sgr

Asc

ella

2.60

192

36.7

-29

5249

-0.0

15-0

.002

0.02

522

19.0

4353

-29.

8802

828

3.63

829

-7.1

7907

101

4057

γ1

Leo

Alg

ieba

2.61

1019

58.3

+19

5030

0.30

6-0

.147

0.02

2-3

710

.332

8619

.841

6714

9.61

477

8.81

495

102

5685

βLi

bZ

uben

elsh

amal

i2.

6115

170.

4-

922

59-0

.096

-0.0

19-0

.003

-35

15.2

8344

-9.3

8306

229.

3716

78.

4957

910

320

95θ

Aur

Bog

ardu

s2.

625

5943

.3+

3712

450.

048

-0.0

810.

022

305.

9953

637

.212

5089

.942

9413

.773

2210

459

84β

1S

coG

raff

ias

2.62

165

26.2

-19

4820

-0.0

06-0

.019

0.00

9-1

16.0

9061

-19.

8055

624

3.18

992

1.00

764

105

553

βA

riS

hera

tan

2.64

154

38.4

+20

4829

0.09

6-0

.111

0.07

4-2

1.91

067

20.8

0806

33.9

6998

8.48

728

106

1956

αC

olP

hact

2.64

539

38.9

-34

427

0.00

7-0

.026

0.00

135

5.66

081

-34.

0741

782

.168

97-5

7.37

523

107

4786

βC

rvK

raz

2.65

1234

23.2

-23

2348

0.00

2-0

.054

0.03

4-8

12.5

7311

-23.

3966

719

7.36

776

-18.

0445

910

858

54α

Ser

Unu

kalh

ai2.

6515

4416

.1+

625

320.

137

0.04

70.

053

315

.737

816.

4255

623

2.07

528

25.5

0797

109

403

δC

asR

ukba

h2.

681

2549

.0+

6014

70.

297

-0.0

510.

037

71.

4302

860

.235

2847

.930

1046

.403

4211

052

35η

Boo

Mup

hrid

2.68

1354

41.1

+18

2352

-0.0

63-0

.358

0.10

80

13.9

1142

18.3

9778

199.

3366

628

.077

2011

155

71β

Lup

2.68

1458

31.9

-43

82

-0.0

35-0

.039

014

.975

53-4

3.13

389

235.

0254

3-2

5.04

609

112

1577

ιA

urH

assa

leh

2.69

456

59.6

+33

958

0.00

3-0

.018

0.02

118

4.94

989

33.1

6611

76.6

3939

10.4

5451

113

4216

µV

el2.

6910

4646

.2-

4925

120.

074

-0.0

480.

022

610

.779

50-4

9.42

000

190.

5156

4-5

1.08

752

114

4798

αM

us2.

6912

3711

.0-

698

8-0

.048

-0.0

1313

12.6

1972

-69.

1355

623

0.37

411

-56.

5569

811

565

08υ

Sco

Lesa

th2.

6917

3045

.8-

3717

45-0

.001

-0.0

318

17.5

1272

-37.

2958

326

4.01

256

-14.

0083

411

627

73π

Pup

2.70

717

8.6

-37

551

-0.0

090.

004

0.03

216

7.28

572

-37.

0975

012

0.30

097

-58.

5249

211

755

06ε

Boo

Izar

2.70

1444

59.2

+27

427

-0.0

490.

021

0.01

6-1

714

.749

7827

.074

1720

8.10

627

40.6

2480

118

6859

δS

grN

unki

2.70

1820

59.7

-29

4941

0.03

5-0

.028

0.04

7-2

018

.349

92-2

9.82

806

274.

5810

9-6

.472

1911

975

25γ

Aql

Tar

azed

2.72

1946

15.6

+10

3648

0.01

8-0

.002

0.01

6-2

19.7

7100

10.6

1333

300.

9390

631

.243

6312

060

56δ

Oph

Yed

Prio

r2.

7416

1420

.7-

341

40-0

.044

-0.1

430.

034

-20

16.2

3908

-3.6

9444

242.

3019

817

.241

0512

161

32η

Dra

2.74

1623

59.5

+61

3051

-0.0

170.

061

0.05

1-1

416

.399

8661

.514

1719

4.48

727

78.4

4101

122

5028

ιC

enK

e K

wan

2.75

1320

35.8

-36

4244

-0.3

41-0

.085

0.06

20

13.3

4328

-36.

7122

221

3.12

875

-26.

0161

912

355

31α

2Li

bZ

uben

elge

nubi

2.75

1450

52.7

-16

230

-0.1

06-0

.067

0.05

8-1

014

.847

97-1

6.04

167

225.

0825

80.

3331

612

441

99θ

Car

2.76

1042

57.4

-64

2340

-0.0

230.

010

2410

.715

94-6

4.39

444

209.

1894

0-6

2.13

902

125

1899

ιO

riN

air

al S

aif

2.77

535

26.0

-5

5436

0.00

00.

001

0.02

522

5.59

056

-5.9

1000

82.9

9761

-29.

2001

2

BS

C.3

#H

Rid

Co

stN

om

em

agp

mA

Rp

mD

eP

aral

lxV

Rad

AR

Dec

Lo

nL

ath

ms

° '

" ar

csec

/yr

arcs

ec/y

rar

csec

km/s

(h.d

ecim

)(°

.dec

im)

(°.d

ecim

)(°

.dec

im)

AR

D

ec

126

6148

βH

erK

orne

phor

os2.

7716

3013

.2+

2129

23-0

.098

-0.0

150.

024

-26

16.5

0367

21.4

8972

241.

0912

542

.702

5112

766

03β

Oph

Cel

balra

i2.

7717

4328

.4+

434

2-0

.040

0.15

90.

033

-12

17.7

2456

4.56

722

265.

3369

627

.939

6612

857

76γ

Lup

2.78

1535

8.5

-41

101

-0.0

15-0

.028

0.00

82

15.5

8569

-41.

1669

424

1.49

818

-21.

2441

312

916

66β

Eri

Cur

sa2.

795

751

.0-

55

11-0

.095

-0.0

810.

050

-95.

1308

3-5

.086

3975

.275

97-2

7.86

172

130

6536

βD

raA

lwai

d2.

7917

3026

.0+

5218

5-0

.016

0.01

50.

013

-20

17.5

0722

52.3

0139

251.

9667

875

.277

8313

198

βH

yi2.

800

2545

.1-

7715

152.

215

0.32

40.

153

230.

4291

9-7

7.25

417

300.

9716

1-6

4.78

480

132

4656

δC

ru2.

8012

158.

7-

5844

56-0

.041

-0.0

090.

003

2212

.252

42-5

8.74

889

215.

6647

2-5

0.41

949

133

3185

ρP

up2.

818

732

.6-

2418

15-0

.083

0.04

90.

035

468.

1257

2-2

4.30

417

131.

3885

9-4

3.27

002

134

6212

ζH

er2.

8116

4117

.2+

3136

11-0

.470

0.39

40.

102

-70

16.6

8811

31.6

0306

241.

4596

353

.110

0513

569

13λ

Sgr

Kau

s B

orea

lis2.

8118

2758

.2-

2525

18-0

.044

-0.1

850.

053

-43

18.4

6617

-25.

4216

727

6.31

694

-2.1

3558

136

6165

τS

coA

l Niy

at2.

8216

3553

.0-

2812

58-0

.008

-0.0

220.

020

216

.598

06-2

8.21

611

251.

4570

9-6

.120

4713

739

γP

egA

lgen

ib2.

830

1314

.2+

1511

10.

003

-0.0

12-0

.002

40.

2206

115

.183

619.

1562

312

.599

8713

849

32ε

Vir

Vin

dem

iatr

ix2.

8313

210

.6+

1057

33-0

.273

0.02

00.

043

-14

13.0

3628

10.9

5917

189.

9402

516

.204

9913

918

29β

Lep

Nih

al2.

845

2814

.7-

2045

34-0

.004

-0.0

890.

020

-14

5.47

075

-20.

7594

479

.672

28-4

3.91

454

140

1203

ζP

erM

enkh

ib2.

853

547.

9+

3153

10.

006

-0.0

100.

010

203.

9021

931

.883

6163

.123

7711

.333

4914

158

97β

TrA

2.85

1555

8.5

-63

2550

-0.1

91-0

.398

0.08

30

15.9

1903

-63.

4305

625

1.84

102

-41.

9458

314

264

61β

Ara

2.85

1725

18.0

-55

3148

-0.0

08-0

.025

0.03

40

17.4

2167

-55.

5300

026

4.20

588

-32.

2650

614

359

1α

Hyi

Hea

d of

Hyd

rus

2.86

158

46.2

-61

3411

0.26

40.

027

0.04

81

1.97

950

-61.

5697

234

2.11

829

-64.

2420

814

485

02α

Tuc

2.86

2218

30.1

-60

1535

-0.0

72-0

.043

0.02

642

22.3

0836

-60.

2597

230

9.67

128

-45.

4038

814

511

65η

Tau

Alc

yone

2.87

347

29.1

+24

618

0.01

9-0

.046

0.00

810

3.79

142

24.1

0500

59.9

9245

4.05

080

146

7528

δC

yg2.

8719

4458

.5+

457

510.

053

0.04

70.

030

-20

19.7

4958

45.1

3083

316.

2496

464

.414

0714

783

22δ

Cap

Den

eb A

lgie

di2.

8721

472.

4-

167

380.

263

-0.2

970.

087

-621

.784

00-1

6.12

722

323.

5424

1-2

.601

5514

822

86µ

Gem

Tej

at P

oste

rior

2.88

622

57.6

+22

3049

0.05

4-0

.111

0.02

055

6.38

267

22.5

1361

95.3

0179

-0.8

2010

149

1220

εP

er2.

893

5751

.2+

400

370.

018

-0.0

260.

009

13.

9642

240

.010

2865

.677

7119

.114

6415

056

71γ

TrA

2.89

1518

54.6

-68

4046

-0.0

72-0

.031

0.01

0-3

15.3

1517

-68.

6794

424

9.39

344

-48.

1027

715

159

44π

Sco

2.89

1558

51.1

-26

651

-0.0

11-0

.026

0.01

0-3

15.9

8086

-26.

1141

724

2.93

984

-5.4

7544

152

6084

σS

coA

l Niy

at2.

8916

2111

.3-

2535

34-0

.010

-0.0

213

16.3

5314

-25.

5927

824

7.79

954

-4.0

3736

153

7264

πS

grA

lbal

dah

2.89

199

45.8

-21

125

0.00

0-0

.035

0.02

6-1

019

.162

72-2

1.02

361

286.

2516

81.

4370

915

428

45β

CM

iG

omei

sa2.

907

279.

0+

817

22-0

.052

-0.0

380.

019

227.

4525

08.

2894

411

2.19

151

-13.

4871

215

549

15α

2C

Vn

Cor

Car

oli

2.90

1256

1.7

+38

196

-0.2

340.

056

0.02

7-3

12.9

3381

38.3

1833

174.

5668

740

.121

0515

682

32β

Aqr

Sad

alsu

ud2.

9121

3133

.5-

534

160.

021

-0.0

080.

006

721

.525

97-5

.571

1132

3.39

496

8.61

512

157

915

γP

er2.

933

447

.8+

5330

230.

000

-0.0

050.

016

33.

0799

453

.506

3960

.021

4634

.530

1415

825

53τ

Pup

2.93

649

56.2

-50

3653

0.03

6-0

.070

366.

8322

8-5

0.61

472

117.

7269

1-7

2.85

334

159

8650

ηP

egM

atar

2.94

2243

0.1

+30

1317

0.01

5-0

.025

0.01

74

22.7

1669

30.2

2139

355.

7131

735

.108

3716

012

31γ

Eri

Zau

rak

2.95

358

1.8

-13

3031

0.06

1-0

.111

0.01

062

3.96

717

-13.

5086

153

.867

64-3

3.20

226

161

4757

δC

rvA

lgor

ab2.

9512

2951

.9-

1630

56-0

.210

-0.1

380.

024

912

.497

75-1

6.51

556

193.

4519

5-1

2.19

634

162

6510

αA

raC

hoo

2.95

1731

50.5

-49

5234

-0.0

31-0

.070

0.00

70

17.5

3069

-49.

8761

126

4.93

427

-26.

5605

316

384

14α

Aqr

Sad

alm

elik

2.96

225

47.0

-0

1911

0.02

0-0

.010

0.01

28

22.0

9639

-0.3

1972

333.

3523

710

.661

7516

424

73ε

Gem

Meb

suta

2.98

643

55.9

+25

752

-0.0

06-0

.013

0.01

710

6.73

219

25.1

3111

99.9

3869

2.06

995

165

3873

εLe

oR

as E

lase

d A

ustr

.2.

989

4551

.1+

2346

27-0

.046

-0.0

110.

010

49.

7641

923

.774

1714

0.70

499

9.71

533

166

1605

εA

urM

aaz

2.99

51

58.1

+43

4924

-0.0

01-0

.004

0.00

7-3

5.03

281

43.8

2333

78.8

4131

20.9

4442

167

6746

γ2

Sgr

Nas

h2.

9918

548

.5-

3025

27-0

.053

-0.1

850.

025

2218

.096

81-3

0.42

417

271.

2614

8-6

.991

23

BS

C.4

#H

Rid

Co

stN

om

em

agp

mA

Rp

mD

eP

aral

lxV

Rad

AR

Dec

Lo

nL

ath

ms

° '

" ar

csec

/yr

arcs

ec/y

rar

csec

km/s

(h.d

ecim

)(°

.dec

im)

(°.d

ecim

)(°

.dec

im)

AR

D

ec

168

7235

ζA

qlD

eneb

el O

kab

2.99

195

24.6

+13

5148

-0.0

05-0

.096

0.04

5-2

519

.090

1713

.863

3328

9.79

594

36.1

8558

169

622

βT

ri3.

002

932

.6+

3459

140.

150

-0.0

400.

022

102.

1590

634

.987

2242

.352

4620

.580

6517

019

10ζ

Tau

3.00

537

38.7

+21

833

0.00

0-0

.021

0.00

820

5.62

742

21.1

4250

84.7

8469

-2.1

9567

171

4630

εC

rvM

inka

r3.

0012

107.

5-

2237

11-0

.071

0.01

40.

027

512

.168

75-2

2.61

972

191.

6654

2-1

9.67

348

172

5020

γH

ya3.

0013

1855

.3-

2310

180.

064

-0.0

450.

027

-513

.315

36-2

3.17

167

207.

0183

7-1

3.74

275

173

1122

δP

er3.

013

4255

.5+

4747

150.

028

-0.0

340.

016

43.

7154

247

.787

5064

.802

0527

.301

6917

438

90υ

Car

3.01

947

6.1

-65

419

-0.0

120.

011

0.02

714

9.78

503

-65.

0719

420

2.88

648

-67.

4984

717

543

35ψ

UM

a3.

0111

939

.8+

4429

55-0

.065

-0.0

28-4

11.1

6106

44.4

9861

148.

8129

835

.537

8317

683

53γ

Gru

Al D

hana

b3.

0121

5355

.7-

3721

540.

102

-0.0

210.

013

-221

.898

81-3

7.36

500

317.

4191

7-2

3.05

037

177

2282

ζC

Ma

Fur

ud3.

026

2018

.8-

303

480.

009

0.00

30.

004

326.

3385

6-3

0.06

333

97.3

7764

-53.

3726

517

826

53ο

2C

Ma

3.02

73

1.5

-23

500

-0.0

040.

003

487.

0504

2-2

3.83

333

111.

0029

5-4

6.13

039

179

5435

γB

ooS

egin

us3.

0314

324.

7+

3818

30-0

.114

0.15

30.

025

-37

14.5

3464

38.3

0833

197.

6634

849

.551

6818

066

15ι

1S

co3.

0317

4735

.1-

407

370.

000

-0.0

080.

019

-28

17.7

9308

-40.

1269

426

7.52

257

-16.

7143

418

168

1ο

Cet

Mira

Cet

i3.

042

1920

.7-

258

39-0

.008

-0.2

370.

024

642.

3224

2-2

.977

5031

.521

64-1

5.93

664

182

5193

µC

en3.

0413

4937

.0-

4228

26-0

.023

-0.0

209

13.8

2694

-42.

4738

922

1.53

631

-28.

9793

618

340

69µ

UM

aT

ania

Aus

tral

is3.

0510

2219

.7+

4129

58-0

.082

0.03

50.

035

-21

10.3

7214

41.4

9944

141.

2348

328

.997

9618

448

44β

Mus

3.05

1246

16.9

-68

629

-0.0

39-0

.017

0.01

542

12.7

7136

-68.

1080

623

0.15

390

-55.

2426

218

557

35γ

UM

iP

herk

ad3.

0515

2043

.7+

7150

2-0

.019

0.02

00.

003

-415

.345

4771

.833

8914

1.59

866

75.2

4111

186

7310

δD

raA

ltais

3.07

1912

33.3

+67

3942

0.09

40.

093

0.03

225

19.2

0925

67.6

6167

17.1

6272

82.8

8628

187

6247

µ1

Sco

3.08

1651

52.2

-38

251

-0.0

11-0

.025

-25

16.8

6450

-38.

0475

025

6.15

553

-15.

4232

618

874

17β

1C

ygA

lbire

o3.

0819

3043

.3+

2757

350.

002

-0.0

020.

017

-24

19.5

1203

27.9

5972

301.

2517

648

.967

7318

977

76β

Cap

Dab

ih3.

0820

210.

7-

1446

530.

042

0.00

20.

010

-19

20.3

5019

-14.

7813

930

4.04

750

4.58

863

190

3547

ζH

ya3.

118

5523

.6+

556

44-0

.099

0.01

40.

035

238.

9232

25.

9455

613

4.57

557

-10.

9696

119

142

32ν

Hya

3.11

1049

37.5

-16

1137

0.09

40.

200

0.02

8-1

10.8

2708

-16.

1936

117

0.36

605

-21.

7979

919

268

32η

Sgr

3.11

1817

37.6

-36

4542

-0.1

28-0

.167

0.04

51

18.2

9378

-36.

7616

727

3.62

763

-13.

3778

519

378

69α

Ind

Al n

air

3.11

2037

34.0

-47

1729

0.05

30.

066

0.04

6-1

20.6

2611

-47.

2913

929

9.10

412

-27.

7535

119

420

40β

Col

Waz

n3.

125

5057

.6-

3546

60.

059

0.40

10.

023

895.

8493

3-3

5.76

833

86.4

1953

-59.

1795

419

537

05α

Lyn

3.13

921

3.3

+34

2333

-0.2

210.

019

0.02

538

9.35

092

34.3

9250

131.

8424

917

.963

9619

638

03N

Vel

3.13

931

13.3

-57

24

-0.0

320.

004

0.02

2-1

49.

5203

6-5

7.03

444

184.

2137

8-6

4.23

853

197

4467

λC

en3.

1311

3546

.8-

631

11-0

.041

-0.0

05-1

11.5

9633

-63.

0197

221

4.54

384

-56.

7892

819

855

76κ

Cen

Ke

Kw

an3.

1314

599.

7-

426

15-0

.019

-0.0

248

14.9

8603

-42.

1041

723

4.79

475

-24.

0313

319

962

85ζ

Ara

3.13

1658

37.2

-55

5925

-0.0

19-0

.036

0.04

4-6

16.9

7700

-55.

9902

825

9.82

393

-33.

0917

820

035

69ι

UM

aD

noce

s3.

148

5912

.4+

482

30-0

.444

-0.2

260.

075

98.

9867

848

.041

6712

2.79

971

29.5

7507

BS

C.5

89

Copyright Questo documento è di proprietà di Rodolfo Baggio, © Copyright 2000-2001, tutti i diritti sono riservati. All'utente è garantita una licenza gratuita non esclusiva per l'uso a fini personali o di studio o per qualunque altro scopo ammesso dalla legge, purché NON commerciale. L'utilizzo a fini commerciali deve essere autorizzato esplicitamente dall'autore. Questo documento può essere distribuito e riprodotto liberamente purché non venga chiesto nessun compenso e le copie restino complete e non modificate. Questo documento è distribuito nello stato in cui si trova, nessuna garanzia, esplicita o implicita, viene data che il contenuto sia adatto a particolari scopi o che sia esente da errori od omissioni. L'utente si assume ogni responsabilità derivante dal possesso o dall'uso dei contenuti di questo documento. Milano, 24 settembre 2001 Rodolfo Baggio via Venini, 18 20127 Milano - Italy [email protected]

RBAstroHistForm - iby.it · Microsoft Word - RBAstroHistForm.doc Author: Rodolfo Baggio Created Date: 20020731142721Z ...

Documents