Resonance and chaos .1. First-order interior resonances

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dc.contributor.authorWinter, O. C.
dc.contributor.authorMurray, C. D.
dc.contributor.institutionUNIV LONDON QUEEN MARY & WESTFIELD COLL
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2014-05-20T15:27:57Z
dc.date.available2014-05-20T15:27:57Z
dc.date.issued1997-03-01
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 three-body problem. The predicted widths of the resonances are compared with the results of numerical integrations using Poincare 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.description.affiliationUNIV LONDON QUEEN MARY & WESTFIELD COLL, ASTRON UNIT, LONDON E1 4NS, ENGLAND
dc.format.extent290-304
dc.identifier.citationAstronomy & Astrophysics. Les Ulis Cedex A: Edp Sciences S A, v. 319, n. 1, p. 290-304, 1997.
dc.identifier.issn0004-6361
dc.identifier.lattes0960024575647258
dc.identifier.urihttp://hdl.handle.net/11449/37869
dc.identifier.wosWOS:A1997WN71700029
dc.language.isoeng
dc.publisherEdp Sciences S A
dc.relation.ispartofAstronomy & Astrophysics
dc.relation.ispartofsjr2,265
dc.rights.accessRightsAcesso restrito
dc.sourceWeb of Science
dc.subjectchaospt
dc.subjectcelestial mechanicspt
dc.subjectminor planetspt
dc.titleResonance and chaos .1. First-order interior resonancesen
dc.typeArtigo
dcterms.licensehttp://www.afs-journal.org/index.php?option=com_content&view=article&id=100&Itemid=104&lang=en_GB.utf8%2C+en_GB.UT
dcterms.rightsHolderEdp Sciences S A
unesp.author.lattes0960024575647258
unesp.campusUniversidade Estadual Paulista (Unesp), Faculdade de Engenharia, Guaratinguetápt

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