Libration points near a gravitating rotating triaxial ellipsoid

Physics

Scientific paper

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Celestial Mechanics, Ellipsoids, Gravitational Fields, Libration, Planetology, Differential Equations, Dynamic Stability, Inequalities, Set Theory

Scientific paper

Attention is given to the motion of a passively gravitating point near
the positions of relative equilibrium of a uniformly rotating ellipsoid
with arbitrary lengths of its main semiaxes. Necessary conditions of
stability are determined, and the qualitative properties of the system
are investigated.

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