The contact geometry of the restricted 3-body problem
Symplectic Geometry
2012-08-13 v1 Dynamical Systems
Geometric Topology
Abstract
We show that the planar circular restricted three body problem is of restricted contact type for all energies below the first critical value (action of the first Lagrange point) and for energies slightly above it. This opens up the possibility of using the technology of Contact Topology to understand this particular dynamical system.
Keywords
Cite
@article{arxiv.1010.2140,
title = {The contact geometry of the restricted 3-body problem},
author = {Peter Albers and Urs Frauenfelder and Otto van Koert and Gabriel P. Paternain},
journal= {arXiv preprint arXiv:1010.2140},
year = {2012}
}
Comments
29 pages, 1 figure