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The Effect of the Great Inequality on the Hecuba Gap
Authors:Jacques Henrard
Institution:(1) Département de mathématique FUNDP, 8, Rempart de la Vierge, B-5000 Namur, Belgique
Abstract:The effects of the "great inequality" (the quasi-resonance between Jupiter and Saturn) on the motion in the 2/1 mean motion resonance with Jupiter (the Hecuba gap) is investigated. We confirm the proposition made by Ferraz-Mello and collaborators that the great inequality generates secondary resonances which are likely to produce the slow diffusion observed in numerical investigations. We identify, in the restricted three body problem, the frequencies responsible for these secondary resonances. This revised version was published online in July 2006 with corrections to the Cover Date.
Keywords:Kirkwood gaps  secondary resonances  chaotic motion
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