Periodic orbits, symbolic dynamics and topological entropy for the restricted 3-body problem
Dynamical Systems
2009-11-07 v1 Mathematical Physics
math.MP
Abstract
This paper concerns the restricted 3-body problem. By applying topological methods we give a computer assisted proof of the existence of some classes of periodic orbits, the existence of symbolic dynamics and we give a rigorous lower estimate for the topological entropy.
Cite
@article{arxiv.math/0201294,
title = {Periodic orbits, symbolic dynamics and topological entropy for the restricted 3-body problem},
author = {Gianni Arioli},
journal= {arXiv preprint arXiv:math/0201294},
year = {2009}
}
Comments
22 pages. Includes Mathematica source file r3b.nb