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dc.contributor.authorMisquero, Mauricio
dc.contributor.authorOrtega Ríos, Rafael 
dc.date.accessioned2025-01-16T10:21:10Z
dc.date.available2025-01-16T10:21:10Z
dc.date.issued2020
dc.identifier.citationhttps://doi.org/10.1137/19M1294241es_ES
dc.identifier.urihttps://hdl.handle.net/10481/99362
dc.description.abstractWe study the classical planar spin-orbit model from an analytical point of view, with no requirements of smallness of the orbital eccentricity and taking into account dissipative forces. The problem depends on e, the eccentricity of the orbit, and on Λ, the oblateness of the spinning body. Our main concern is the capture into the 1:1 resonance for points of the (e,Λ)-plane. First, we find a region of uniqueness of the 1:1 resonance, which is the continuation from the solution for e = 0. Then, a subregion of linear stability is estimated. We also study a separatrix close to the line e = e∗ ≈ 0.682, beyond which the resonance is unstable. Finally, we study the dissipative case by giving estimations for regions of asymptotic stability of the solution (capture into resonance) depending on the strength of the dissipation applied.es_ES
dc.language.isoenges_ES
dc.publisherSIAM Publicationses_ES
dc.rightsCreative Commons Attribution-NonCommercial-NoDerivs 3.0 Licensees_ES
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es_ES
dc.subjectspin-orbit problemes_ES
dc.subjectforced pendulumes_ES
dc.subjectdissipative systemses_ES
dc.subjectsynchronous resonancees_ES
dc.subjectcapture into resonancees_ES
dc.subjectasymptotic stabilityes_ES
dc.titleSome Rigorous Results on the 1:1 Resonance of the Spin-Orbit Problemes_ES
dc.typejournal articlees_ES
dc.rights.accessRightsopen accesses_ES
dc.identifier.doihttps://doi.org/10.1137/19M1294241
dc.type.hasVersionAOes_ES


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