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Bifurcations and equilibria in the extended N-body ring problem
Authors:M Arribas  A Elipe  
Institution:a Grupo de Mecánica Espacial, Universidad de Zaragoza, 50009, Zaragoza, Spain;b Dpto. Matemática Aplicada, Universidad de Zaragoza, 50009, Zaragoza, Spain
Abstract:We consider the motion of an infinitesimal particle under the gravitational field of (n+1) bodies in ring configuration, that consist of n primaries of equal mass m placed at the vertices of a regular polygon, plus another primary of mass m0m located at the geometric center of the polygon. We analyze the phase flow, determine the equilibria of the system, their linear stability and the bifurcations depending on the mass of the central primary (parameter β).This study is extended to the case when the central body is an ellipsoid or a radiation source. In this case, the topology of the problem is modified.
Keywords:Bifurcations  Ring configuration  N-body problem
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