The plane periodic motions of a satellite relative to the mass center near a triangular libration point

Physics

Scientific paper

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Celestial Mechanics, Libration, Satellite Orbits, Spacecraft Motion, Amplitudes, Canonical Forms, Equations Of Motion, Three Body Problem

Scientific paper

The plane periodic motions of a satellite around its center of mass near the L4 libration point of the restricted circular three-body problem are studied. It is assumed that the motion of the satellite relative to the center of mass does not influence its orbital motion. The existence of 2(pi)n periodic motions produced by the plane rotations and oscillations of arbitrary amplitude is studied.

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