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arXiv · 1703.07857

Periodic solutions of a perturbed Kepler problem in the plane: from existence to stability

Alberto Boscaggin·Rafael Ortega
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Abstract

The existence of elliptic periodic solutions of a perturbed Kepler problem is proved. The equations are in the plane and the perturbation depends periodically on time. The proof is based on a local description of the symplectic group in two degrees of freedom.

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Alberto Boscaggin, Rafael Ortega. 2017-03-22. Periodic solutions of a perturbed Kepler problem in the plane: from existence to stability. https://doi.org/10.1016/j.jde.2016.05.004

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