On the motion around the centre of mass of a viscously elastic sphere in the restricted elliptic three-body problem

Astronomy and Astrophysics – Astronomy

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Viscoelastic Sphere, Conditionally-Periodic Orbit, Small Deformation, Evolution Of Motions

Scientific paper

In the restricted three-body problem we consider the motion of a viscously elastic sphere (planet) with its centre of mass moving in a conditionally-periodic orbit. The approximate equations describing the rotational motion of the sphere in terms of the Andoyer variables are obtained by the method of the separation of motion and averaging; the evolution of the motion is also analysed.

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