Spin-orbit coupling of the ellipsoidal secondary in a binary asteroid system

Fuente: arXiv
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Autore principale: Lei, Hanlun
Natura: Preprint
Pubblicazione: 2024
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author Lei, Hanlun
author_facet Lei, Hanlun
contents In our Solar system, spin-orbit coupling is a common phenomenon in binary asteroid systems, where the mutual orbits are no longer invariant due to exchange of angular momentum between translation and rotation. In this work, dynamical structures in phase space are explored for the problem of spin-orbit coupling by taking advantage of analytical and numerical methods. In particular, the technique of Poincaré sections is adopted to reveal numerical structures, which are dependent on the total angular momentum, the Hamiltonian, mass ratio and asphericity parameter. Analytical study based on perturbative treatments shows that high-order and/or secondary spin-orbit resonances are responsible for numerical structures arising in Poincaré sections. Analytical solutions are applied to (65803) Didymos, (80218) ${\rm VO}_{123}$ and (4383) Suruga to reveal their phase-space structures, showing that there is a high possibility for them to locate inside secondary 1:1 spin-orbit resonance.
format Preprint
id arxiv_https___arxiv_org_abs_2407_20863
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Spin-orbit coupling of the ellipsoidal secondary in a binary asteroid system
Lei, Hanlun
Earth and Planetary Astrophysics
In our Solar system, spin-orbit coupling is a common phenomenon in binary asteroid systems, where the mutual orbits are no longer invariant due to exchange of angular momentum between translation and rotation. In this work, dynamical structures in phase space are explored for the problem of spin-orbit coupling by taking advantage of analytical and numerical methods. In particular, the technique of Poincaré sections is adopted to reveal numerical structures, which are dependent on the total angular momentum, the Hamiltonian, mass ratio and asphericity parameter. Analytical study based on perturbative treatments shows that high-order and/or secondary spin-orbit resonances are responsible for numerical structures arising in Poincaré sections. Analytical solutions are applied to (65803) Didymos, (80218) ${\rm VO}_{123}$ and (4383) Suruga to reveal their phase-space structures, showing that there is a high possibility for them to locate inside secondary 1:1 spin-orbit resonance.
title Spin-orbit coupling of the ellipsoidal secondary in a binary asteroid system
topic Earth and Planetary Astrophysics
url https://arxiv.org/abs/2407.20863