Extension of Cassini's laws
Abstract
We have found a new type of Cassini's laws which describe the rotational motion in a 1:1 spin-orbit resonance. In the rotational motion which follows the conventional Cassini's laws, the figure axis coincides with the angular momentum axis. In the rotational motion described by the new type of Cassini's laws, the angle between the figure axis and the angular momentum axis is constant, which is not zero, and the precession of the angular momentum plane is equal to the mean motion of the argument of pericenter of the rotating body. The new type of a rotational motion is only possible when the orbital eccentricity of the rotation body is not zero.
- Publication:
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32nd Symposium on Celestial Mechanics
- Pub Date:
- 2001
- Bibcode:
- 2001ceme.symp..217B
- Keywords:
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- Cassini's Laws