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 2.48≤a≤2.52AU for different values of the initial inclination 16°≤i≤20°. 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 6 −v 16 andv 5 +v 6 are present.
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Froeschlé, C., Scholl, H. Numerical experiments in the 3/1 andv 6 overlapping resonance region. Celestial Mech Dyn Astr 56, 163–176 (1993). https://doi.org/10.1007/BF00699729
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DOI: https://doi.org/10.1007/BF00699729