Regions without invariant tori of given class for the planar circular restricted three-body problem
Dynamical Systems
2022-04-13 v1
Abstract
A method to establish regions of phase space through which pass no invariant tori transverse to a given direction field is applied to the planar circular restricted three-body problem. Implications for the location of stable orbits for planets around a binary star are deduced. It is expected that lessons learnt from this problem will be useful for applications of the method to other contexts such as flux surfaces for magnetic fields, guiding centre motion in magnetic fields, and classical models of chemical reaction dynamics.
Keywords
Cite
@article{arxiv.2202.12691,
title = {Regions without invariant tori of given class for the planar circular restricted three-body problem},
author = {Nikos Kallinikos and Robert S. MacKay and Tom Syndercombe},
journal= {arXiv preprint arXiv:2202.12691},
year = {2022}
}