Transverse foliations in the rotating Kepler problem
Dynamical Systems
2024-01-31 v2 Symplectic Geometry
Abstract
We construct finite energy foliations and transverse foliations of neighbourhoods of the circular orbits in the rotating Kepler problem for all negative energies. This paper would be a first step towards our ultimate goal that is to recover and refine McGehee's results on homoclinics and to establish a theoretical foundation to the numerical demonstration of the existence of a homoclinic-heteroclinic chain in the planar circular restricted three-body problem, using pseudoholomorphic curves.
Cite
@article{arxiv.2311.01231,
title = {Transverse foliations in the rotating Kepler problem},
author = {Seongchan Kim},
journal= {arXiv preprint arXiv:2311.01231},
year = {2024}
}
Comments
To appear in Journal of Fixed Point Theory and Applications