The Effect of the Great Inequality on the Hecuba Gap
Author: Henrard, Jacques
Source: Celestial Mechanics and Dynamical Astronomy, Volume 69, Numbers 1-2, October 1997 , pp. 187-198(12)
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.
Document Type: Research Article
Affiliations: Département de mathématique FUNDP, 8, Rempart de la Vierge, B-5000, Namur, Belgique,
Publication date: October 1, 1997