Celestial mechanics
Celestial mechanics
Celestial mechanics
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1. Theory of <strong>Celestial</strong> <strong>mechanics</strong><br />
Keplers laws<br />
infered from observations<br />
of Tycho Brahe<br />
I+II [Astronomia nova, 1609]<br />
I. The planets move in ellipses<br />
with the sun in one of the foci.<br />
II. The pointer to a planet moves over equal<br />
areas in equal times<br />
( Conservation of angular Momentum)<br />
III. [Harmonices mundi, 1619]<br />
a3 / T2 = const (approximatively)<br />
a<br />
3<br />
T<br />
2<br />
( M + m )<br />
1 =<br />
1 S 1<br />
a T ( M + m )<br />
3<br />
2<br />
2<br />
2<br />
S<br />
2<br />
(exactly)<br />
3
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