Global bifurcation of planar and spatial periodic solutions in the restricted n-body problem
Dynamical Systems
2013-03-27 v1
Abstract
The paper deals with the study of a satellite attracted by n primary bodies, which form a relative equilibrium. We use orthogonal degree to prove global bifurcation of planar and spatial periodic solutions from the equilibria of the satellite. In particular, we analyze the restricted three body problem and the problem of a satellite attracted by the Maxwell's ring relative equilibrium.
Keywords
Cite
@article{arxiv.1303.6327,
title = {Global bifurcation of planar and spatial periodic solutions in the restricted n-body problem},
author = {C. García-Azpeitia and J. Ize},
journal= {arXiv preprint arXiv:1303.6327},
year = {2013}
}