Existence of a Center Manifold in a Practical Domain around L1 in the Restricted Three Body Problem
Dynamical Systems
2011-03-11 v1
Abstract
We give a proof of existence of centre manifolds within large domains for systems with an integral of motion. The proof is based on a combination of topological tools, normal forms and rigorous-computer-assisted computations. We apply our method to obtain an explicit region in which we prove existence of a center manifold in the planar Restricted Three Body Problem.
Keywords
Cite
@article{arxiv.1103.1970,
title = {Existence of a Center Manifold in a Practical Domain around L1 in the Restricted Three Body Problem},
author = {Maciej J Capinski and Pablo Roldan},
journal= {arXiv preprint arXiv:1103.1970},
year = {2011}
}