Symmetric periodic orbits for the n-body problem: some preliminary results
Dynamical Systems
2007-05-23 v1
Abstract
We show the existence of some infinite families of periodic solutions of the planar Newtonian n-body problem --with positive masses-- which are symmetric with respect to suitable actions of finite groups (under a strong--force assumption, or just numerically). The method is by minimizing a discretization of the action functional under symmetry constraints.
Keywords
Cite
@article{arxiv.math/0208188,
title = {Symmetric periodic orbits for the n-body problem: some preliminary results},
author = {Davide L. Ferrario},
journal= {arXiv preprint arXiv:math/0208188},
year = {2007}
}
Comments
LaTeX file, 16 pages, 10 figures