On the Existence of Periodic Orbits for the Fixed Homogeneous Circle Problem
Classical Analysis and ODEs
2007-05-23 v2
Abstract
We prove the existence of some types of periodic orbits for a particle moving in Euclidean three-space under the influence of the gravitational force induced by a fixed homogeneous circle. These types include periodic orbits very far and very near the homogeneous circle, as well as eight and spiral periodic orbits.
Keywords
Cite
@article{arxiv.math/0502305,
title = {On the Existence of Periodic Orbits for the Fixed Homogeneous Circle Problem},
author = {C. Azevedo and P. Ontaneda},
journal= {arXiv preprint arXiv:math/0502305},
year = {2007}
}