Periodic orbits in the restricted three-body problem and Arnold's $J^+$-invariant
Symplectic Geometry
2018-11-08 v1 Dynamical Systems
Geometric Topology
Abstract
We apply Arnold's theory of generic smooth plane curves to Stark-Zeeman systems. This is a class of Hamiltonian dynamical systems that describes the dynamics of an electron in an external electric and magnetic field, and includes many systems from celestial mechanics. Based on Arnold's -invariant, we introduce invariants of periodic orbits in planar Stark-Zeeman systems and study their behaviour.
Keywords
Cite
@article{arxiv.1704.08568,
title = {Periodic orbits in the restricted three-body problem and Arnold's $J^+$-invariant},
author = {Kai Cieliebak and Urs Frauenfelder and Otto van Koert},
journal= {arXiv preprint arXiv:1704.08568},
year = {2018}
}
Comments
36 Pages, 16 Figures