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Regions without invariant tori of given class for the planar circular restricted three-body problem
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Kallinikos, N., MacKay, Robert S. and Syndercombe, Tom (2022) Regions without invariant tori of given class for the planar circular restricted three-body problem. Physica D : Nonlinear Phenomena, 434 . 133216. doi:10.1016/j.physd.2022.133216 ISSN 0167-2789.
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Official URL: https://doi.org/10.1016/j.physd.2022.133216
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.
| Item Type: | Journal Article | ||||||||
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| Subjects: | Q Science > QA Mathematics | ||||||||
| Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||||
| Library of Congress Subject Headings (LCSH): | Kolmogorov-Arnold-Moser theory, Hamiltonian systems, Three-body problem | ||||||||
| Journal or Publication Title: | Physica D : Nonlinear Phenomena | ||||||||
| Publisher: | Elsevier BV * North-Holland | ||||||||
| ISSN: | 0167-2789 | ||||||||
| Official Date: | June 2022 | ||||||||
| Dates: |
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| Volume: | 434 | ||||||||
| Article Number: | 133216 | ||||||||
| DOI: | 10.1016/j.physd.2022.133216 | ||||||||
| Status: | Peer Reviewed | ||||||||
| Publication Status: | Published | ||||||||
| Access rights to Published version: | Open Access (Creative Commons) | ||||||||
| Date of first compliant deposit: | 28 February 2022 | ||||||||
| Date of first compliant Open Access: | 12 April 2022 | ||||||||
| RIOXX Funder/Project Grant: |
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