Introduction Getting to the stars... ...and staying there. Conclusions Celestial mechanics in an interplanetary flight Remigiusz Pospieszy´ nski Department of Physics, Ume˚ a University October 10, 2008 Remigiusz Pospieszy´ nski Celestial mechanics in an interplanetary flight
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IntroductionGetting to the stars...
...and staying there.Conclusions
Celestial mechanics in an interplanetary flight
Remigiusz Pospieszynski
Department of Physics,Umea University
October 10, 2008
Remigiusz Pospieszynski Celestial mechanics in an interplanetary flight
IntroductionGetting to the stars...
...and staying there.Conclusions
HistoryTheory
Contents1 Introduction
HistoryTheory
2 Getting to the stars...RocketsPlots of orbits
3 ...and staying there.Aerobrake
4 ConclusionsReferences
Remigiusz Pospieszynski Celestial mechanics in an interplanetary flight
IntroductionGetting to the stars...
...and staying there.Conclusions
HistoryTheory
What is celestial mechanics?
Branch of astrophysics that deals with the motions of celestialobjects: stars, galaxies, planets, (artificial) satellites, etc.. The fieldapplies principles of physics to produce ephemeris data.
Remigiusz Pospieszynski Celestial mechanics in an interplanetary flight
IntroductionGetting to the stars...
...and staying there.Conclusions
HistoryTheory
History
Started probably when human discovered movement on thecelestial sphere, however, problem of planetary motion has beenknown to Babylonian astronomers (3000 yrs bp).
Notable astronomers in the field
Aristarchus of Samos — creator of the heliocentric model,“proved” later by Seleucus of Seleucia;
Claudius Ptolemy — author of the Almages, explainedepicycles;
Nicolaus Copernicus ;
Galileo Galilei ;
Johannes Kepler ;
Isaac Newton;
Joseph-Louis Lagrange.
Remigiusz Pospieszynski Celestial mechanics in an interplanetary flight
IntroductionGetting to the stars...
...and staying there.Conclusions
HistoryTheory
Newton’s cannonball
Remigiusz Pospieszynski Celestial mechanics in an interplanetary flight
IntroductionGetting to the stars...
...and staying there.Conclusions
HistoryTheory
Escape velocity
EEarth = Ep + Ek = mgr +mv2
2, (1)
E∞ =mv2∞
2, (2)
mgr +mv2
2=
mv2∞
2, (3)
v∞ =√
2gr . (4)
√2 · 9.81 · 6, 357, 000
[m2
s2
]= 11, 356
[m
s
]≈ 11.4
[km
s
].
Remigiusz Pospieszynski Celestial mechanics in an interplanetary flight