Periodic orbits of the planar anisotropic generalized Kepler problem

Jaume Llibre; Claudia Valls

doi:10.1063/1.5058728

Periodic orbits of the planar anisotropic generalized Kepler problem

Jaume Llibre, Claudia Valls

Department of Mathematics

Research output: Contribution to journal › Article › Research

Abstract

© 2019 Author(s). Many generalizations of the Kepler problem with homogeneous potential of degree -1/2 have been considered. Here, we deal with the generalized anisotropic Kepler problem with homogeneous potential of degree -1. We provide the explicit solutions of this problem on the zero energy level and show that all of them are periodic.

Original language	English
Article number	042901
Journal	Journal of Mathematical Physics
Volume	60
DOIs	https://doi.org/10.1063/1.5058728
Publication status	Published - 1 Apr 2019

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title = "Periodic orbits of the planar anisotropic generalized Kepler problem",

abstract = "{\textcopyright} 2019 Author(s). Many generalizations of the Kepler problem with homogeneous potential of degree -1/2 have been considered. Here, we deal with the generalized anisotropic Kepler problem with homogeneous potential of degree -1. We provide the explicit solutions of this problem on the zero energy level and show that all of them are periodic.",

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AB - © 2019 Author(s). Many generalizations of the Kepler problem with homogeneous potential of degree -1/2 have been considered. Here, we deal with the generalized anisotropic Kepler problem with homogeneous potential of degree -1. We provide the explicit solutions of this problem on the zero energy level and show that all of them are periodic.

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