Periodic Solutions for any Planar Symmetric Perturbation of the Kepler Problem |
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Authors: | Claudio Vidal |
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Abstract: | We consider perturbations of the Kepler problem that are symmetric with respect to the origin and admit a first integral of motion which is also symmetric with respect to the origin. It has been proved that each circular solution of the unperturbed problem gives rise to a periodic solution of the perturbed system. |
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Keywords: | periodic solutions Poincaré continuation method first integral |
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