Dynamical classification of the asteroids in the Hungaria group II: The objects affected by the exterior mean-motion resonances 3:4, 5:7, 7:10 and 8:11 with Mars

Abstract

In this work, we present a dynamical study of the Hungaria asteroids close to the exterior 3:4, 5:7, 7:10 and 8:11 mean-motion resonances with Mars. We aim to extend the classification of Hungaria asteroids affected by mean-motion resonances initiated in our previous work with the analysis of the 2:3 resonance. To do it, we use the semi-analytical model developed in our previous study to identify the region of candidates possibly affected for each particular resonance. Then, we numerically integrate the temporal evolution of each candidate for 2 Myrs, considering the N-body problem where the asteroids are assumed to be massless bodies affected by the gravitational perturbation of all the planets in the Solar System. We find 38 asteroids captured inside the considered mean-motion resonances and 582 whose dynamical evolution is affected by these structures. Finally, we provide mean values for the orbital elements that may be taken as first approximations of proper elements, for those bodies that do not have these quantities previously determined.