The triangular libration points in the generalized circular restricted three-body problem

Astronomy and Astrophysics – Astronomy

Scientific paper

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Libration, Systems Stability, Three Body Problem, Equations Of Motion, Gravitation, Linear Systems

Scientific paper

The stability of the triangular libration points in the plane restricted three-body problem with respect to the parameters of the problem is investigated for the case of an arbitrary central attraction law. Necessary and sufficient conditions for stability of a linear system are obtained and the case of power-law attraction is examined in detail. Both a general stability analysis and a stability analysis for limiting parameter values are performed.

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