Resonant chains in triple-planetary systems

Fil: Wang, Xuefeng. Nanjing University. School of Astronomy and Space Science; China.

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Detalles Bibliográficos
Autores principales:	Wang, Xuefeng, Zhou, Li-Yong, Beaugé, Cristian
Otros Autores:	https://orcid.org/0000-0002-3472-7895
Formato:	acceptedVersion article
Lenguaje:	Inglés
Publicado:	2024
Materias:	Celestial mechanics planetary dynamics mean motion resonance
Acceso en línea:	http://hdl.handle.net/11086/552727 https://arxiv.org/abs/2405.05362
Aporte de:	Repositorio Digital Universitario (UNC) de Universidad Nacional de Córdoba

id	I10-R141-11086-552727
record_format	dspace
spelling	I10-R141-11086-5527272024-07-13T06:34:14Z Resonant chains in triple-planetary systems Wang, Xuefeng Zhou, Li-Yong Beaugé, Cristian https://orcid.org/0000-0002-3472-7895 https://orcid.org/0000-0002-9738-1000 Celestial mechanics planetary dynamics mean motion resonance info:eu-repo/semantics/acceptedVersion Fil: Wang, Xuefeng. Nanjing University. School of Astronomy and Space Science; China. Fil: Wang, Xuefeng. Ministry of Education. Key Laboratory of Modern Astronomy and Astrophysics; China. Fil: Zhou, Li-Yong. Nanjing University. School of Astronomy and Space Science; China. Fil: Zhou, Li-Yong. Ministry of Education. Key Laboratory of Modern Astronomy and Astrophysics; China. Fil: Beaugé, Cristian. Universidad Nacional de Córdoba. Observatorio Astronómico de Córdoba; Argentina. Fil: Beaugé, Cristian. Consejo Nacional de Investigaciones Científicas y Técnicas. Instituto de Astronomía Teórica y Experimental; Argentina. A resonant chain may be formed in a multi-planetary system when ratios of the orbital periods can be expressed as ratios of small integers T1:T2:⋯:TN=k1:k2:⋯:kN. We investigate the dynamics and possible formation of resonant chain. The appropriate Hamiltonian for a three-planet resonant chain is defined and numerically averaged over the synodic period. The stable stationary solutions (apsidal corotational resonance, ACR) of this system, corresponding to the local extrema of Hamiltonian function, can be searched out numerically. The topology of the Hamiltonian around these ACRs reveals their stabilities. We further construct dynamical maps on representative planes to study the dynamics, and we calculate the deviation (χ2) of the resonant angle from the uniformly distributed values. Finally, the formation of resonant chain via convergent migration is simulated and stable configurations associated with ACRs are verified. We find that stable ACR families arising from circular orbits always exist for any resonant chain, and they may extend to high eccentricity. Around ACR solutions, regular motion are found in two types of resonant configurations. One is characterised by libration of both the two-body resonant angles and the three-body Laplace resonant angle, and the other by libration of only two-body resonant angles. The Laplace resonance seems not to contribute much to the stability. The resonant chain can be formed via convergent migration, and subsequently the resonant configuration evolves along the ACR families to eccentric orbits. Ideally, our methods introduced here can be applied to any resonant chain of any number of planets at any eccentricity. info:eu-repo/semantics/acceptedVersion Fil: Wang, Xuefeng. Nanjing University. School of Astronomy and Space Science; China. Fil: Wang, Xuefeng. Ministry of Education. Key Laboratory of Modern Astronomy and Astrophysics; China. Fil: Zhou, Li-Yong. Nanjing University. School of Astronomy and Space Science; China. Fil: Zhou, Li-Yong. Ministry of Education. Key Laboratory of Modern Astronomy and Astrophysics; China. Fil: Beaugé, Cristian. Universidad Nacional de Córdoba. Observatorio Astronómico de Córdoba; Argentina. Fil: Beaugé, Cristian. Consejo Nacional de Investigaciones Científicas y Técnicas. Instituto de Astronomía Teórica y Experimental; Argentina. 2024-07-12T15:56:19Z 2024-07-12T15:56:19Z 2024-05-08 article Wang, X., Zhou, L. Y., & Beauge, C. (2024). Resonant chains in triple-planetary systems. arXiv preprint arXiv:2405.05362. http://hdl.handle.net/11086/552727 https://arxiv.org/abs/2405.05362 doi:10.48550/arXiv.2405.05362 eng Attribution 4.0 International http://creativecommons.org/licenses/by/4.0/
institution	Universidad Nacional de Córdoba
institution_str	I-10
repository_str	R-141
collection	Repositorio Digital Universitario (UNC)
language	Inglés
topic	Celestial mechanics planetary dynamics mean motion resonance
spellingShingle	Celestial mechanics planetary dynamics mean motion resonance Wang, Xuefeng Zhou, Li-Yong Beaugé, Cristian Resonant chains in triple-planetary systems
topic_facet	Celestial mechanics planetary dynamics mean motion resonance
description	Fil: Wang, Xuefeng. Nanjing University. School of Astronomy and Space Science; China.
author2	https://orcid.org/0000-0002-3472-7895
author_facet	https://orcid.org/0000-0002-3472-7895 Wang, Xuefeng Zhou, Li-Yong Beaugé, Cristian
format	acceptedVersion article
author	Wang, Xuefeng Zhou, Li-Yong Beaugé, Cristian
author_sort	Wang, Xuefeng
title	Resonant chains in triple-planetary systems
title_short	Resonant chains in triple-planetary systems
title_full	Resonant chains in triple-planetary systems
title_fullStr	Resonant chains in triple-planetary systems
title_full_unstemmed	Resonant chains in triple-planetary systems
title_sort	resonant chains in triple-planetary systems
publishDate	2024
url	http://hdl.handle.net/11086/552727 https://arxiv.org/abs/2405.05362
work_keys_str_mv	AT wangxuefeng resonantchainsintripleplanetarysystems AT zhouliyong resonantchainsintripleplanetarysystems AT beaugecristian resonantchainsintripleplanetarysystems
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Resonant chains in triple-planetary systems

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