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Families of first kind periodic solutions of the spatial and planar elliptic restricted three-body problem with collision
Authors:Lúcia Brandão Dias  Claudio Vidal
Institution:(1) Department of Engineering Sciences, University of Patras, 26500 Patras, Greece
Abstract:We consider a restricted three-body problem where the primaries are moving in an elliptic collision orbit and the infinitesimal mass moves in a three dimensional space. This paper is devoted to prove analytically the existence of several families of symmetric periodic solutions as continuation of Keplerian circular orbits. In our approach the perturbing parameter is related with the energy of the primaries.
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