Heteroclinic Connections between Periodic Orbits in Planar Restricted Circular Three Body Problem - A Computer Assisted Proof
Dynamical Systems
2025-10-20 v2 Numerical Analysis
Numerical Analysis
Abstract
The restricted circular three-body problem is considered for the following parameter values , - the values for {\em Oterma} comet in the Sun-Jupiter system. We present a computer assisted proof of an existence of homo- and heteroclinic cycle between two Lyapunov orbits and an existence of symbolic dynamics on four symbols built on this cycle.
Cite
@article{arxiv.math/0201278,
title = {Heteroclinic Connections between Periodic Orbits in Planar Restricted Circular Three Body Problem - A Computer Assisted Proof},
author = {D. Wilczak and P. Zgliczynski},
journal= {arXiv preprint arXiv:math/0201278},
year = {2025}
}
Comments
40 pages, 11 figures