Modeling Trojan dynamics: diffusion mechanisms through resonances

TL;DR

This paper investigates how secondary resonances affect the long-term stability of Trojan objects in the ERTBP, revealing different diffusion types and escape time distributions.

Contribution

It provides a detailed analysis of diffusion mechanisms and escape time distributions influenced by secondary resonances in Trojan dynamics.

Findings

Identification of slow and fast chaotic diffusion modes

Bi-modal distribution of escape times with short and long escape populations

Power-law tail in escape time distribution indicating long-term stability effects

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.