Numerical experiments in the 3/1 andv 6 overlapping resonance region

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 thev₆ secular resonance 2.48a2.52AU for different values of the initial inclination 16°i20°. An analysis for thev₆ secular resonance shows that the topology is different from the one found outside the overlapping region: the critical argument for thev₆ resonance in the overlapping region rotates in opposite direction as compared to the purev₆ region. In the 3/1 resonance region the secular resonancev₅ is dominant, and some secondary secular resonances asv₆ –v₁₆ andv₅ +v₆ are present.