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dc.contributor.authorWinter, O. C.-
dc.contributor.authorMurray, C. D.-
dc.identifier.citationAstronomy and Astrophysics, v. 319, n. 1, p. 290-304, 1997.-
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.subjectCelestial mechanics-
dc.subjectMinor planets-
dc.titleResonance and chaos: I. First-order interior resonancesen
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.relation.ispartofAstronomy and Astrophysics-
Appears in Collections:Artigos, TCCs, Teses e Dissertações da Unesp

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