On co-orbital quasi-periodic motion in the three-body problem
| dc.contributor.author | Cors, Josep Maria | |
| dc.contributor.author | Palacián Subiela, Jesús Francisco | |
| dc.contributor.author | Yanguas Sayas, Patricia | |
| dc.contributor.department | Estatistika, Informatika eta Matematika | eu |
| dc.contributor.department | Institute for Advanced Materials and Mathematics - INAMAT2 | en |
| dc.contributor.department | Estadística, Informática y Matemáticas | es_ES |
| dc.date.accessioned | 2019-03-05T08:57:27Z | |
| dc.date.available | 2019-03-05T08:57:27Z | |
| dc.date.issued | 2019 | |
| dc.description.abstract | Within the framework of the planar three-body problem we establish the existence of quasi-periodic motions and KAM 4-tori related to the co-orbital motion of two small moons about a large planet where the moons move in nearly circular orbits with almost equal radii. The approach is based on a combination of normal form and symplectic reduction theories and the application of a KAM theorem for high-order degenerate systems. To accomplish our results we need to expand the Hamiltonian of the three-body problem as a perturbation of two uncoupled Kepler problems. This approximation is valid in the region of phase space where co-orbital solutions occur. | en |
| dc.description.sponsorship | J. M. Cors was partially supported by grants MTM2016-77278-P (FEDER) and AGAUR grant 2017 SGR 1617. J. F. Palacián and P. Yanguas have been partially supported by grants MTM 2014-59433-C2-1-P and MTM 2017-88137-C2-1-P. | en |
| dc.format.extent | 20 p | en |
| dc.format.mimetype | application/pdf | en |
| dc.identifier.doi | 10.1137/18M1190859 | |
| dc.identifier.issn | 1536-0040 (Electronic) | |
| dc.identifier.uri | https://academica-e.unavarra.es/handle/2454/32505 | |
| dc.language.iso | eng | en |
| dc.publisher | Society for Industrial and Applied Mathematics (SIAM) | en |
| dc.relation.ispartof | SIAM Journal on Applied Dynamical Systems 2019, Vol. 18, No. 1 : pp. 334-353 | en |
| dc.relation.projectID | info:eu-repo/grantAgreement/ES/1PE/MTM2016-77278-P/ | |
| dc.relation.projectID | info:eu-repo/grantAgreement/MINECO//MTM2014-59433-C2-1-P/ES/ | |
| dc.relation.projectID | info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/MTM2017-88137-C2-1-P/ES/ | |
| dc.relation.publisherversion | https://doi.org/10.1137/18M1190859 | |
| dc.rights | © 2019, Society for Industrial and Applied Mathematics. Unauthorized reproduction of this article is prohibited. | en |
| dc.rights.accessRights | info:eu-repo/semantics/openAccess | |
| dc.subject | Three-body problem | en |
| dc.subject | Symplectic scaling | en |
| dc.subject | Co-orbital regime | en |
| dc.subject | 1:1 mean-motion resonance | en |
| dc.subject | Normalization and reduction | en |
| dc.subject | KAM theory for multiscale systems | en |
| dc.subject | Quasi-periodic motion and invariant 4-tori | en |
| dc.title | On co-orbital quasi-periodic motion in the three-body problem | en |
| dc.type | info:eu-repo/semantics/article | |
| dc.type.version | info:eu-repo/semantics/acceptedVersion | |
| dspace.entity.type | Publication | |
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