Modeling Trojan dynamics: diffusion mechanisms through resonances

Abstract

In the framework of the ERTBP, we study an example of the influence of secondary resonances over the long term stability of Trojan motions. By the integration of ensembles of orbits, we find various types of chaotic diffusion, slow and fast. We show that the distribution of escape times is bi-modular, corresponding to two populations of short and long escape times. The objects with long escape times produce a power-law tail in the distribution.Comment: Published on Complex Planetary Systems, Proceedings of the International Astronomical Union, IAU Symposium, Volume 310, pp. 96-9