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Dissipative Divergence of Resonant Orbits

Batygin, Konstantin and Morbidelli, Alessandro (2013) Dissipative Divergence of Resonant Orbits. Astronomical Journal, 145 (1). Art. No. 1. ISSN 0004-6256. doi:10.1088/0004-6256/145/1/1. https://resolver.caltech.edu/CaltechAUTHORS:20130115-085708255

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Abstract

A considerable fraction of multi-planet systems discovered by the observational surveys of extrasolar planets reside in mild proximity to first-order mean-motion resonances. However, the relative remoteness of such systems from nominal resonant period ratios (e.g., 2:1, 3:2, and 4:3) has been interpreted as evidence for lack of resonant interactions. Here, we show that a slow divergence away from exact commensurability is a natural outcome of dissipative evolution and demonstrate that libration of critical angles can be maintained tens of percent away from nominal resonance. We construct an analytical theory for the long-term dynamical evolution of dissipated resonant planetary pairs and confirm our calculations numerically. Collectively, our results suggest that a significant fraction of the near-commensurate extrasolar planets are in fact resonant and have undergone significant dissipative evolution.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1088/0004-6256/145/1/1DOIArticle
http://iopscience.iop.org/1538-3881/145/1/1PublisherArticle
https://arxiv.org/abs/1204.2791arXivDiscussion Paper
ORCID:
AuthorORCID
Batygin, Konstantin0000-0002-7094-7908
Additional Information:© 2013 American Astronomical Society. Received 2012 April 12; accepted 2012 July 19; published 2012 November 20. We thank Kleomenis Tsiganis, Peter Goldreich, and Greg Laughlin for numerous useful conversations. During the preparation of this paper, we have become aware that Y. Lithwick & Y. Wu (2012) arrived at similar arguments simultaneously and independently. K. Batygin acknowledges supported from NASA’s NESSF graduate fellowship.
Funders:
Funding AgencyGrant Number
NASA Earth and Space Science FellowshipUNSPECIFIED
Subject Keywords:methods: analytical; methods: numerical; planets and satellites: general
Issue or Number:1
DOI:10.1088/0004-6256/145/1/1
Record Number:CaltechAUTHORS:20130115-085708255
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20130115-085708255
Official Citation:Dissipative Divergence of Resonant Orbits Konstantin Batygin and Alessandro Morbidelli 2013 The Astronomical Journal 145 1
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:36370
Collection:CaltechAUTHORS
Deposited By: Ruth Sustaita
Deposited On:15 Jan 2013 17:09
Last Modified:09 Nov 2021 23:21

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