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Variable Stars clues: timescale, amplitude, light curve shape, spectrum Eclipsing: Algol ß Lyr W UMa B8-M (hrs-days) B8-G3 F0-K0 (hrs) Eruptive: single binary SNII 15-20 mag (yrs) flare 1-6 mag (<hr) K-M WD: SNI -20mag (yrs) N -10mag (1000s yrs) DN - 2-7 mag (weeks) NL - erratic Symbiotic: 3mag (erratic) XRB: HMXRB, LMXRB -ray Bursters RS CVn: F,G+KIV, spots Pulsating: short P long P odd Cepheids:F-K, 1-50d, 1.5mag RR Lyr: A-F, 0.5 day, 1 mag Scuti: A-F, hrs, Mira:M, yrs, 1- 5mag S-R: K, M ß Ceph: B, 0.5d ZZ Ceti: WD, min
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Variable Stars clues: timescale, amplitude, light curve shape, spectrum Eclipsing: Algol ß Lyr W UMa B8-M (hrs-days) B8-G3 F0-K0 (hrs) Eruptive: single.

Dec 19, 2015

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Page 1: Variable Stars clues: timescale, amplitude, light curve shape, spectrum Eclipsing: Algol ß Lyr W UMa B8-M (hrs-days) B8-G3 F0-K0 (hrs) Eruptive: single.

Variable Stars clues: timescale, amplitude, light curve shape, spectrum

Eclipsing: Algol ß Lyr W UMa B8-M (hrs-days) B8-G3 F0-K0 (hrs)

Eruptive: single binarySNII 15-20 mag (yrs) flare 1-6 mag (<hr) K-M

WD: SNI -20mag (yrs) N -10mag (1000s yrs) DN - 2-7 mag (weeks) NL - erraticSymbiotic: 3mag (erratic)XRB: HMXRB, LMXRB-ray BurstersRS CVn: F,G+KIV, spots

Pulsating: short P long P oddCepheids:F-K, 1-50d, 1.5mag

RR Lyr: A-F, 0.5 day, 1 mag

Scuti: A-F, hrs, 0.02 mag

Mira:M, yrs, 1-5magS-R: K, M

ß Ceph: B, 0.5dZZ Ceti: WD, min

Page 2: Variable Stars clues: timescale, amplitude, light curve shape, spectrum Eclipsing: Algol ß Lyr W UMa B8-M (hrs-days) B8-G3 F0-K0 (hrs) Eruptive: single.
Page 3: Variable Stars clues: timescale, amplitude, light curve shape, spectrum Eclipsing: Algol ß Lyr W UMa B8-M (hrs-days) B8-G3 F0-K0 (hrs) Eruptive: single.

Cataclysmic Variableswhite dwarf primary with a low mass (G-M) secondary, orbital periods of 67 min-2 days

Nova: TNR, high mass WD, outbursts 8-15 mag every few thousand yrs, ~20/yr in MW

Dwarf nova: disk instability, outbursts 2-7 mag every week-30 yrs

Novalike: high, low states on timescales of months, high accretion

AM CVn: 2 white dwarfs, orbital periods of 10-45 min

Page 4: Variable Stars clues: timescale, amplitude, light curve shape, spectrum Eclipsing: Algol ß Lyr W UMa B8-M (hrs-days) B8-G3 F0-K0 (hrs) Eruptive: single.

Disk Polar

Intermediate Polar

Page 5: Variable Stars clues: timescale, amplitude, light curve shape, spectrum Eclipsing: Algol ß Lyr W UMa B8-M (hrs-days) B8-G3 F0-K0 (hrs) Eruptive: single.

DISK ACCRETION MAGNETIC

High M Low M. .

X-rays

108 K

9000-40000 K

ACCRETION

BL

For slowly rotating WD:

Ldisk = LBL = 1/2GMMwd/Rwd

.

Hard X-rays

Soft X-rays

Cyclotron

Page 6: Variable Stars clues: timescale, amplitude, light curve shape, spectrum Eclipsing: Algol ß Lyr W UMa B8-M (hrs-days) B8-G3 F0-K0 (hrs) Eruptive: single.

-WD accretes until thick degenerate envelope leads to TNR

-10-6 to 10-4 solar masses ejected (dust can form)

-Envelope returns to quasi-static equil (nuclear burning)

-Envelopoe gradually ejected by winds, phot recedes, T increases and peak radiaiton in soft X-ray

-Constant bol phase lasts until envelope exhausted (1-100 yrs)

Page 7: Variable Stars clues: timescale, amplitude, light curve shape, spectrum Eclipsing: Algol ß Lyr W UMa B8-M (hrs-days) B8-G3 F0-K0 (hrs) Eruptive: single.

Outburst cycle of the Dwarf Nova SS Cyg

Cannizzo & Mattei, 1998, ApJ 505, 344

Outbursts are DISK instabilities

Typical DN

Page 8: Variable Stars clues: timescale, amplitude, light curve shape, spectrum Eclipsing: Algol ß Lyr W UMa B8-M (hrs-days) B8-G3 F0-K0 (hrs) Eruptive: single.
Page 9: Variable Stars clues: timescale, amplitude, light curve shape, spectrum Eclipsing: Algol ß Lyr W UMa B8-M (hrs-days) B8-G3 F0-K0 (hrs) Eruptive: single.

Typical CV spectra in DR1

CVs in EDR in Szkody et al. 2002, AJ, 123, 430

Page 10: Variable Stars clues: timescale, amplitude, light curve shape, spectrum Eclipsing: Algol ß Lyr W UMa B8-M (hrs-days) B8-G3 F0-K0 (hrs) Eruptive: single.

Symbiotic stars

Late type RG +

WD +

high excitation emission lines

Possible progenitors of Type Ia SN?

Page 11: Variable Stars clues: timescale, amplitude, light curve shape, spectrum Eclipsing: Algol ß Lyr W UMa B8-M (hrs-days) B8-G3 F0-K0 (hrs) Eruptive: single.

RS CVn star (convection + high rotation gives spots)

K0III

Page 12: Variable Stars clues: timescale, amplitude, light curve shape, spectrum Eclipsing: Algol ß Lyr W UMa B8-M (hrs-days) B8-G3 F0-K0 (hrs) Eruptive: single.

Pulsating stars:Asteroseismology

• Pulsations Only systematic way to study the stellar interior

• Pulsations are observed in stars all over the HR diagram ZZ Ceti stars

Page 13: Variable Stars clues: timescale, amplitude, light curve shape, spectrum Eclipsing: Algol ß Lyr W UMa B8-M (hrs-days) B8-G3 F0-K0 (hrs) Eruptive: single.

Pulsations in a star

Pulsation period and amplitude depend onthe average density. P 1/2 [P=(4π/3G)1/2]Low density long P, high amplitudeHigh density short P, low amplitude

Density profile decides how deep the pulsations penetrate in the star.

(Deeper the penetration more we learn about the interior)

Centrally condensed stars like our Sun have shallow pulsations

Uniform density stars like white dwarfs have deep pulsations

Page 14: Variable Stars clues: timescale, amplitude, light curve shape, spectrum Eclipsing: Algol ß Lyr W UMa B8-M (hrs-days) B8-G3 F0-K0 (hrs) Eruptive: single.

Cepheids and RR Lyrae

Cepheids: F-G SG, P-L relation, P ~ 2-60 days,

HeII ionization zone pulsation mechanism

RR Lyrae: A giants, Mv = 0.5, P<1 day

Radial pulsators

Page 15: Variable Stars clues: timescale, amplitude, light curve shape, spectrum Eclipsing: Algol ß Lyr W UMa B8-M (hrs-days) B8-G3 F0-K0 (hrs) Eruptive: single.
Page 16: Variable Stars clues: timescale, amplitude, light curve shape, spectrum Eclipsing: Algol ß Lyr W UMa B8-M (hrs-days) B8-G3 F0-K0 (hrs) Eruptive: single.
Page 17: Variable Stars clues: timescale, amplitude, light curve shape, spectrum Eclipsing: Algol ß Lyr W UMa B8-M (hrs-days) B8-G3 F0-K0 (hrs) Eruptive: single.
Page 18: Variable Stars clues: timescale, amplitude, light curve shape, spectrum Eclipsing: Algol ß Lyr W UMa B8-M (hrs-days) B8-G3 F0-K0 (hrs) Eruptive: single.

P-L relation

1) measure mv with CCD

2) find P from light curve

3) use P-L to get Mv

4) m-M d

Page 19: Variable Stars clues: timescale, amplitude, light curve shape, spectrum Eclipsing: Algol ß Lyr W UMa B8-M (hrs-days) B8-G3 F0-K0 (hrs) Eruptive: single.
Page 20: Variable Stars clues: timescale, amplitude, light curve shape, spectrum Eclipsing: Algol ß Lyr W UMa B8-M (hrs-days) B8-G3 F0-K0 (hrs) Eruptive: single.

• White dwarfs show non-radial g-modes on account of their high gravity

Periods of 100s to 1000s

• These modes are characterized by quantum numbers (k,l,m)

similar to atomic orbitals

Spherical gravitational potential Spherical electrostatic potential

l determines the number of borders between hot and cool zones on the surface m is the number of borders that pass through the pole of the rotation axisk determines the number of times the pulsation wiggles from the center to the surface

Page 21: Variable Stars clues: timescale, amplitude, light curve shape, spectrum Eclipsing: Algol ß Lyr W UMa B8-M (hrs-days) B8-G3 F0-K0 (hrs) Eruptive: single.

Two flavors of ZZ Ceti stars (DAVs)

Teff = 11000K P ~ 1000s

Teff = 12000K P ~ 200s

cool

Larger amp, more modes, unstable amps

hot

Less modes, more stability

Page 22: Variable Stars clues: timescale, amplitude, light curve shape, spectrum Eclipsing: Algol ß Lyr W UMa B8-M (hrs-days) B8-G3 F0-K0 (hrs) Eruptive: single.

Mira - pulsating RG

Period ~ 11 months

Page 23: Variable Stars clues: timescale, amplitude, light curve shape, spectrum Eclipsing: Algol ß Lyr W UMa B8-M (hrs-days) B8-G3 F0-K0 (hrs) Eruptive: single.

Flare Stars

Flare <15s to 1 hr, repeats hrs - days

Amplitude up to 4 mag

Opt is thermal brem at T ~ 107K, radio is non-thermal

Between flares, spectrum is K-M with CaII, H emission

Page 24: Variable Stars clues: timescale, amplitude, light curve shape, spectrum Eclipsing: Algol ß Lyr W UMa B8-M (hrs-days) B8-G3 F0-K0 (hrs) Eruptive: single.

Variable Stars clues: timescale, amplitude, light curve shape, spectrum

Eclipsing: Algol ß Lyr W UMa B8-M (hrs-days) B8-G3 F0-K0 (hrs)

Eruptive: single binarySNII 15-20 mag (yrs) flare 1-6 mag (<hr) K-M

WD: SNI -20mag (yrs) N -10mag (1000s yrs) DN - 2-7 mag (weeks) NL - erraticSymbiotic: 3mag (erratic)XRB: HMXRB, LMXRB-ray BurstersRS CVn: F,G+KIV, spots

Pulsating: short P long P oddCepheids:F-K, 1-50d, 1.5mag

RR Lyr: A-F, 0.5 day, 1 mag

Scuti: A-F, hrs, 0.02 mag

Mira:M, yrs, 1-5magS-R: K, M

ß Ceph: B, 0.5dZZ Ceti: WD, min

Page 25: Variable Stars clues: timescale, amplitude, light curve shape, spectrum Eclipsing: Algol ß Lyr W UMa B8-M (hrs-days) B8-G3 F0-K0 (hrs) Eruptive: single.

SupernovaeMorford,OrtezChadney/FowlerKongCampionSmith

X-ray BinariesStevensMarkertSlinkerSheetsGreenBelleciVosTimpe

CVsJenningsFilbrandtMagnuson

PulsatorsMayorgaHua

FlaresEvans

OthersDraperJewellHansen