On the fixed homogeneous circle problem

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

We give some results about the dynamics of a particle moving in Euclidean three-space under the influence of the gravitational force induced by a fixed homogeneous circle. Our main results concern (1) singularities and (2) the dynamics in the plane that contains the circle. The study presented here is purely analytic.

Keywords

Dynamical Systems, 70F99

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/68166

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0307329
 http://arxiv.org/abs/math/0307329

Collections

arXiv