Stability of the periodic motion of a satellite about a triangular libration point in a restricted elliptical three-body problem

Computer Science – Numerical Analysis

Scientific paper

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Librational Motion, Motion Stability, Orbital Mechanics, Periodic Variations, Satellite Rotation, Three Body Problem, Ellipsoids, Graphs (Charts)

Scientific paper

A study is made of the necessary conditions for the stability of spatial periodic solutions in a problem concerning the rotation of a satellite with a triaxial ellipsoid of inertia about the triangular libration point of the restricted elliptical three-body problem. Results of a numerical analysis of the generating periodic solutions and stability conditions for the corresponding periodic solutions are presented in graphical form.

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