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arXiv · 2412.07700

A dynamical study of Hilda asteroids in the Circular and Elliptic RTBP

Àngel Jorba·Begoña Nicolás·Óscar Rodríguez
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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.

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Àngel Jorba, Begoña Nicolás, Óscar Rodríguez. 2024-12-10. A dynamical study of Hilda asteroids in the Circular and Elliptic RTBP. https://doi.org/10.1063/5.0234410

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