Document Type

Article

Publication Date

2002

Department

Mathematics

Abstract

We consider the Manev potential in an anisotropic space, i.e., such that the force acts differently in each direction. Using a generalization of the Poincare continuation method we study the existence of periodic solutions for weak anisotropy. In particular we find that the symmetric periodic orbits of the Manev system are perturbed to periodic orbits in the anisotropic problem.

Comments

This article was originally published in Journal of Mathematical Physics, 43(6): 3207. © 2002 American Institute of Physics.

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