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dc.creatorCors, Josep Mariaes_ES
dc.creatorPalacián Subiela, Jesús Franciscoes_ES
dc.creatorYanguas Sayas, Patriciaes_ES
dc.date.accessioned2019-03-05T08:57:27Z
dc.date.available2019-03-05T08:57:27Z
dc.date.issued2019
dc.identifier.issn1536-0040 (Electronic)
dc.identifier.urihttps://hdl.handle.net/2454/32505
dc.description.abstractWithin 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.sponsorshipJ. 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.mimetypeapplication/pdfen
dc.format.mimetype20 p.en
dc.language.isoengen
dc.publisherSociety for Industrial and Applied Mathematics (SIAM)en
dc.relation.ispartofSIAM Journal on Applied Dynamical Systems 2019, Vol. 18, No. 1 : pp. 334-353en
dc.rights© 2019, Society for Industrial and Applied Mathematics. Unauthorized reproduction of this article is prohibited.en
dc.subjectThree-body problemen
dc.subjectSymplectic scalingen
dc.subjectCo-orbital regimeen
dc.subject1:1 mean-motion resonanceen
dc.subjectNormalization and reductionen
dc.subjectKAM theory for multiscale systemsen
dc.subjectQuasi-periodic motion and invariant 4-torien
dc.titleOn co-orbital quasi-periodic motion in the three-body problemen
dc.typeArtículo / Artikuluaes
dc.typeinfo:eu-repo/semantics/articleen
dc.contributor.departmentUniversidad Pública de Navarra. Departamento de Estadística, Informática y Matemáticases_ES
dc.contributor.departmentNafarroako Unibertsitate Publikoa. Estatistika, Informatika eta Matematika Sailaeu
dc.contributor.departmentUniversidad Pública de Navarra / Nafarroako Unibertsitate Publikoa. InaMat - Institute for Advanced Materialses_ES
dc.rights.accessRightsAcceso abierto / Sarbide irekiaes
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessen
dc.identifier.doi10.1137/18M1190859
dc.relation.projectIDinfo:eu-repo/grantAgreement/ES/1PE/MTM2016-77278-Pen
dc.relation.projectIDinfo:eu-repo/grantAgreement/ES/1PE/MTM2014-59433en
dc.relation.projectIDinfo:eu-repo/grantAgreement/ES/2PE/MTM2017-88137en
dc.relation.publisherversionhttps://doi.org/10.1137/18M1190859
dc.type.versionVersión aceptada / Onetsi den bertsioaes
dc.type.versioninfo:eu-repo/semantics/acceptedVersionen


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