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Numerical experiments in the 3/1 andv 6 overlapping resonance region
Authors:Ch Froeschlé  H Scholl
Institution:(1) O.C.A. Laboratoire G.D. Cassini, CNRS URA 1362, B.P. 229, F-06304 Nice Cedex 4, France
Abstract:Numerical experiments of fictitious small bodies with initial eccentricities e=0.1 have been performed in the overlapping region of the 3/1 mean motion resonance and of thev 6 secular resonance 2.48leale2.52AU for different values of the initial inclination 16°leile20°. An analysis for thev 6 secular resonance shows that the topology is different from the one found outside the overlapping region: the critical argument for thev 6 resonance in the overlapping region rotates in opposite direction as compared to the purev 6 region. In the 3/1 resonance region the secular resonancev 5 is dominant, and some secondary secular resonances asv 6v 16 andv 5 +v 6 are present.
Keywords:Mean motion and secular resonances  overlapping resonances
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