Tidal friction and generalized Cassini's laws in the solar system

Astronomy and Astrophysics – Astronomy

Scientific paper

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Axes Of Rotation, Friction, Planetary Rotation, Precession, Tides, Gravitational Effects, Hamiltonian Functions, Natural Satellites, Orbital Elements, Solar Orbits, Solar System

Scientific paper

The tidal drift toward a generalized Cassini state of rotation of the spin axis of a planet or satellite in a precessing orbit is described. Generalized Cassini's laws are applied to several solar system objects and the location of their spin axes estimated. Of those considered only the moon definitely occupies state 2 with the spin axis near to the normal of the invariable plane. Most objects appear to occupy state 1 with the spin axis near to the orbit normal. Iapetus could occupy either state depending on its oblateness. In addition, the resonant rotation of Mercury is found to have little effect on the tidal drift of its spin axis toward state 1.

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