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A criterion for the stability of planets in chains of resonances

Goldberg, Max and Batygin, Konstantin and Morbidelli, Alessandro (2022) A criterion for the stability of planets in chains of resonances. Icarus, 388 . Art. No. 115206. ISSN 0019-1035. doi:10.1016/j.icarus.2022.115206. https://resolver.caltech.edu/CaltechAUTHORS:20220803-536003000

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Abstract

Uncovering the formation process that reproduces the distinct properties of compact super-Earth exoplanet systems is a major goal of planet formation theory. The most successful model argues that non-resonant systems begin as resonant chains of planets that later experience a dynamical instability. However, both the boundary of stability in resonant chains and the mechanism of the instability itself are poorly understood. Previous work postulated that a secondary resonance between the fastest libration frequency and a difference in synodic frequencies destabilizes the system. Here, we use that hypothesis to produce a simple and general criterion for resonant chain stability that depends only on planet orbital periods and masses. We show that the criterion accurately predicts the maximum mass of planets in synthetic resonant chains up to six planets. More complicated resonant chains produced in population synthesis simulations are found to be less stable than expected, although our criterion remains useful and superior to machine learning models.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1016/j.icarus.2022.115206DOIArticle
https://arxiv.org/abs/2207.13833arXivDiscussion Paper
ORCID:
AuthorORCID
Goldberg, Max0000-0003-3868-3663
Batygin, Konstantin0000-0002-7094-7908
Morbidelli, Alessandro0000-0001-8476-7687
Additional Information:© 2022 Elsevier. Received 15 May 2022, Revised 20 July 2022, Accepted 25 July 2022, Available online 2 August 2022. We are grateful to Antoine Petit and an anonymous referee for valuable feedback that significantly improved this work. We thank Gabriele Pichierri and Sean Raymond for insightful discussions and André Izidoro for providing simulation results. K. B. is grateful to Caltech, the Caltech Center for Comparative Planetary Evolution, the David and Lucile Packard Foundation, and the Alfred P. Sloan Foundation for their generous support. A. M. acknowledges support from the ERC advanced grant HolyEarth N. 101019380. The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper. Data availability. Data will be made available on request.
Group:Caltech Center for Comparative Planetary Evolution, Division of Geological and Planetary Sciences
Funders:
Funding AgencyGrant Number
Caltech Center for Comparative Planetary EvolutionUNSPECIFIED
David and Lucile Packard FoundationUNSPECIFIED
Alfred P. Sloan FoundationUNSPECIFIED
European Research Council (ERC)101019380
Subject Keywords:Extra-solar planets; Planetary dynamics; Resonances; Orbital; Planetary formation
DOI:10.1016/j.icarus.2022.115206
Record Number:CaltechAUTHORS:20220803-536003000
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20220803-536003000
Official Citation:Max Goldberg, Konstantin Batygin, Alessandro Morbidelli, A criterion for the stability of planets in chains of resonances, Icarus, 2022, 115206, ISSN 0019-1035, https://doi.org/10.1016/j.icarus.2022.115206.
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:116073
Collection:CaltechAUTHORS
Deposited By: George Porter
Deposited On:04 Aug 2022 22:34
Last Modified:28 Nov 2022 23:16

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