Periodic solutions of a perturbed Kepler problem in the plane: from existence to stability
Classical Analysis and ODEs
2017-03-24 v1
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.
Keywords
Cite
@article{arxiv.1703.07857,
title = {Periodic solutions of a perturbed Kepler problem in the plane: from existence to stability},
author = {Alberto Boscaggin and Rafael Ortega},
journal= {arXiv preprint arXiv:1703.07857},
year = {2017}
}