Gravitational resonances.

Astronomy and Astrophysics – Astronomy

Scientific paper

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Mercury: Rotation, Celestial Bodies: Orbits, Celestial Bodies: Rotation

Scientific paper

The differential equation of the relative rotation of a body in a closed Keplerian orbit has been derived. Effects of the gravitational moment and of the orbit on this rotation are included by use of the shape factor and of the coupling function, respectively. Thereupon condition is proposed and resonance initial conditions are discussed. Finally, numerical simulation of Mercury's rotation is presented as an illustration of the obtained results.

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