Evolution equations for the rotational motion of a deformable planet in the restricted three-body problem

Astronomy and Astrophysics – Astronomy

Scientific paper

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Celestial Mechanics, Planetary Rotation, Three Body Problem, Approximation, Canonical Forms, Deformation, Solar Orbits

Scientific paper

An averaging method was used to obtain approximate equations describing the evolution of the rotational motion of a viscoelastic planet within the framework of the restricted circular three-body problem. These equations are written in the form of Andoyer canonical variables. In the presence of energy dissipation, the deformable planet motion can serve as a model for tidal effects during planetary motion within the solar system.

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