On the fixed homogeneous circle problem
Dynamical Systems
2007-05-23 v5
Abstract
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
Cite
@article{arxiv.math/0307329,
title = {On the fixed homogeneous circle problem},
author = {C. Azevedo and H. Cabral and P. Ontaneda},
journal= {arXiv preprint arXiv:math/0307329},
year = {2007}
}