Periodic rotations of a rigid body located at the libration point

Astronomy and Astrophysics – Astronomy

Scientific paper

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Libration, Many Body Problem, Rigid Structures, Rotating Bodies, Equations Of Motion, Hamiltonian Functions, Systems Stability

Scientific paper

Periodic rotations of a rigid body close to the flat motions were found. Their orbital stability was investigated. Analysis was done up to second order of the small parameter. It was proved that solutions found are orbitally stable except of the third order resonance case. This resonance do not appear if terms up to the first order of small parameter are considered only.

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