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dc.contributor.authorWinter, O. C. [UNESP]
dc.contributor.authorMurray, C. D.
dc.date.accessioned2014-05-27T11:18:12Z
dc.date.available2014-05-27T11:18:12Z
dc.date.issued1997-03-01
dc.identifierhttp://aa.springer.de/bibs/7319001/2300290/small.htm
dc.identifier.citationAstronomy and Astrophysics, v. 319, n. 1, p. 290-304, 1997.
dc.identifier.issn0004-6361
dc.identifier.urihttp://hdl.handle.net/11449/65046
dc.description.abstractAnalytical models for studying the dynamical behaviour of objects near interior, mean motion resonances are reviewed in the context of the planar, circular, restricted threebody problem. The predicted widths of the resonances are compared with the results of numerical integrations using Poincaré surfaces of section with a mass ratio of 10-3 (similar to the Jupiter-Sun case). It is shown that for very low eccentricities the phase space between the 2:1 and 3:2 resonances is predominantly regular, contrary to simple theoretical predictions based on overlapping resonance. A numerical study of the 'evolution' of the stable equilibrium point of the 3:2 resonance as a function of the Jacobi constant shows how apocentric libration at the 2:1 resonance arises; there is evidence of a similar mechanism being responsible for the centre of the 4:3 resonance evolving towards 3:2 apocentric libration. This effect is due to perturbations from other resonances and demonstrates that resonances cannot be considered in isolation. On theoretical grounds the maximum libration width of first-order resonances should increase as the orbit of the perturbing secondary is approached. However, in reality the width decreases due to the chaotic effect of nearby resonances.en
dc.format.extent290-304
dc.language.isoeng
dc.relation.ispartofAstronomy and Astrophysics
dc.sourceScopus
dc.subjectCelestial mechanics
dc.subjectChaos
dc.subjectMinor planets
dc.titleResonance and chaos: I. First-order interior resonancesen
dc.typeArtigo
dcterms.licensehttp://www.aanda.org/index.php?option=com_content&view=article&id=902&Itemid=298
dc.contributor.institutionUniversidade Estadual Paulista (UNESP)
dc.contributor.institutionUniversity of London
dc.description.affiliationGrupo Dinamica Orbital Planetologia Campus Guaratinguetá UNESP, CP 205, Guaratingueta, São Paulo
dc.description.affiliationAstronomy Unit Queen Mary and Westfield College University of London, Mile End Road, London E1 4NS
dc.description.affiliationUnespGrupo Dinamica Orbital Planetologia Campus Guaratinguetá UNESP, CP 205, Guaratingueta, São Paulo
dc.rights.accessRightsAcesso aberto
dc.identifier.scopus2-s2.0-0005195523
unesp.campusUniversidade Estadual Paulista (UNESP), Faculdade de Engenharia, Guaratinguetápt
dc.identifier.file2-s2.0-0005195523.pdf
dc.identifier.lattes0960024575647258
unesp.author.lattes0960024575647258
dc.relation.ispartofsjr2,265
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