A dynamical study of Hilda asteroids in the Circular and Elliptic RTBP
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866912150809739264 |
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| author | Jorba, Àngel Nicolás, Begoña Rodríguez, Óscar |
| author_facet | Jorba, Àngel Nicolás, Begoña Rodríguez, Óscar |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_07700 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A dynamical study of Hilda asteroids in the Circular and Elliptic RTBP Jorba, Àngel Nicolás, Begoña Rodríguez, Óscar Dynamical Systems Mathematical Physics 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. |
| title | A dynamical study of Hilda asteroids in the Circular and Elliptic RTBP |
| topic | Dynamical Systems Mathematical Physics |
| url | https://arxiv.org/abs/2412.07700 |