A dynamical study of Hilda asteroids in the Circular and Elliptic RTBP
Abstract
The Hilda group is a set of asteroids whose mean motion is in a 3:2 orbital resonance with Jupiter. In this paper we use the planar Circular Restricted Three-Body Problem (CRTBP) as a dynamical model and we show that there exists a family of stable periodic orbits that are surrounded by islands of quasi-periodic motions. We have computed the frequencies of these quasi-periodic motions and we have shown how the Hilda family fits inside these islands. We have compared these results with the ones obtained using the Elliptic Restricted Three-Body Problem and they are similar, showing the suitability of the CRTBP model. It turns out that, to decide if a given asteroid belongs to the Hilda class, it is much better to look at its frequencies in the planar CRTBP rather than to use two-body orbital elements as it is commonly done today.
Keywords
Cite
@article{arxiv.2412.07700,
title = {A dynamical study of Hilda asteroids in the Circular and Elliptic RTBP},
author = {Àngel Jorba and Begoña Nicolás and Óscar Rodríguez},
journal= {arXiv preprint arXiv:2412.07700},
year = {2024}
}