Orbital Stability of Hierarchical 3 and 4-Body Systems with Inclination: Results for Kepler-1625, 1708, and HD 23079

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Autores principales: Patel, Shaan D., Quarles, Billy, Cuntz, Manfred
Formato: Preprint
Publicado: 2025
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author Patel, Shaan D.
Quarles, Billy
Cuntz, Manfred
author_facet Patel, Shaan D.
Quarles, Billy
Cuntz, Manfred
contents As the number of potential exomoon candidates grows, there is a heightened motivation of pursing orbital stability analyses. In this work, we provide an in-depth investigation into 4-body systems, consisting of a star, planet, moon, and submoon by using the N-body simulator rebound. Particularly, we focus on the system of Kepler-1625, where evidence of a possible exomoon has been obtained. We investigate the 3-body star--planet--moon system for the proposed exomoon parameters allowing us to identify stable regions associated with most of the space parameters. Thereafter, we consider a 4-body system including a potential submoon. We find that there are both stable and unstable regions, as expected, as well as resonance patterns that are further explored using numerical and analytical methods including secular perturbation theory. We are able to identify these resonances as secular in nature. In addition, we investigate 3-body versions of two other systems, Kepler-1708 and HD 23079, while also studying a 4-body version of HD 23079. Our work may serve as a generalized framework for exploring other planet--moon cases in the future while noting that the current 4-body study may be an incentive for studying further exomoon and submoon systems.
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id arxiv_https___arxiv_org_abs_2501_12258
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Orbital Stability of Hierarchical 3 and 4-Body Systems with Inclination: Results for Kepler-1625, 1708, and HD 23079
Patel, Shaan D.
Quarles, Billy
Cuntz, Manfred
Earth and Planetary Astrophysics
As the number of potential exomoon candidates grows, there is a heightened motivation of pursing orbital stability analyses. In this work, we provide an in-depth investigation into 4-body systems, consisting of a star, planet, moon, and submoon by using the N-body simulator rebound. Particularly, we focus on the system of Kepler-1625, where evidence of a possible exomoon has been obtained. We investigate the 3-body star--planet--moon system for the proposed exomoon parameters allowing us to identify stable regions associated with most of the space parameters. Thereafter, we consider a 4-body system including a potential submoon. We find that there are both stable and unstable regions, as expected, as well as resonance patterns that are further explored using numerical and analytical methods including secular perturbation theory. We are able to identify these resonances as secular in nature. In addition, we investigate 3-body versions of two other systems, Kepler-1708 and HD 23079, while also studying a 4-body version of HD 23079. Our work may serve as a generalized framework for exploring other planet--moon cases in the future while noting that the current 4-body study may be an incentive for studying further exomoon and submoon systems.
title Orbital Stability of Hierarchical 3 and 4-Body Systems with Inclination: Results for Kepler-1625, 1708, and HD 23079
topic Earth and Planetary Astrophysics
url https://arxiv.org/abs/2501.12258