Work

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

Year: 2024

Type: article

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.

Source: Chaos An Interdisciplinary Journal of Nonlinear Science

DOI: 10.1063/5.0234410

Authors: Àngel Jorba, Begoña Nicolás, Óscar Rodríguez

Institutions: Centre de Recerca Matemàtica, Universitat de Barcelona, Universidade de Santiago de Compostela, Universitat Politècnica de Catalunya

Language: English

Topic: Spacecraft Dynamics and Control

Subfield: Aerospace Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: hybrid

Funders: Agència de Gestió d'Ajuts Universitaris i de Recerca, Agencia Estatal de Investigación