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Periodic Solutions for any Planar Symmetric Perturbation of the Kepler Problem

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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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Authors
  1. Claudio Vidal
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Vidal, C. Periodic Solutions for any Planar Symmetric Perturbation of the Kepler Problem. Celestial Mechanics and Dynamical Astronomy 80, 119–132 (2001). https://doi.org/10.1023/A:1011998806932

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  • DOI: https://doi.org/10.1023/A:1011998806932

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