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Orbital configurations and dynamical stability of multiplanet systems around sun-like stars HD 202206, 14 Herculis, HD 37124, and HD 108874

Goździewski, Krzysztof and Konacki, Maciej and Maciejewski, Andrzej J. (2006) Orbital configurations and dynamical stability of multiplanet systems around sun-like stars HD 202206, 14 Herculis, HD 37124, and HD 108874. Astrophysical Journal, 645 (1). pp. 688-703. ISSN 0004-637X. https://resolver.caltech.edu/CaltechAUTHORS:GOZapj06

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Abstract

We perform a dynamical analysis of the recently published radial velocity (RV) measurements of a few solar-type stars that host multiple Jupiter-like planets. In particular, we reanalyze the data for HD 202206, 14 Her, HD 37124, and HD 108874. We derive dynamically stable configurations that reproduce the observed RV signals, using GAMP (the genetic algorithm with MEGNO penalty). GAMP relies on N-body dynamics and makes use of genetic algorithms merged with a stability criterion. For this purpose, we use the maximal Lyapunov exponent computed with the dynamical fast indicator MEGNO. Through a dynamical analysis of the phase space in a neighborhood of the obtained best-fit solutions, we derive meaningful limits on the parameters of the planets. We demonstrate that GAMP is especially well suited to the analysis of the RV data that only partially cover the longest orbital period and/or are related to multiplanet configurations involved in low-order mean motion resonances (MMRs). Our analysis reveals a presence of a second Jupiter-like planet in the 14 Her system (14 Her c) that is involved in a 3 : 1 or 6 : 1 MMR with the known companion 14 Her b. We also show that the dynamics of the HD 202206 system may be qualitatively different when coplanar and mutually inclined orbits of the companions are considered. We demonstrate that the two outer planets in the HD 37124 system may reside in a close neighborhood of the 5 : 2 MMR. Our results confirm that the HD 108874 system may be very close to a, or locked in an exact, 4 : 1 MMR.


Item Type:Article
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http://www.journals.uchicago.edu/ApJ/journal/issues/ApJ/v645n1/64109/brief/64109.abstract.htmlOtherUNSPECIFIED
Additional Information:© 2006. The American Astronomical Society. Received 2005 November 15; accepted 2006 February 23. We kindly thank Zbroja for correcting our manuscript. This work is supported by the Polish Ministry of Science and Education grant 1P03D 021 29. M.K. is also supported by NASA through grant NNG04GM62G. K.G. is also supported by N. Copernicus Univ. through grant 427A.
Subject Keywords:celestial mechanics—methods: n-body simulations—methods: numerical—planetary systems—stars: individual (HD 202206, 14 Herculis, HD 37124, HD 108874)—stellar dynamics
Issue or Number:1
Record Number:CaltechAUTHORS:GOZapj06
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:GOZapj06
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:5547
Collection:CaltechAUTHORS
Deposited By: Lindsay Cleary
Deposited On:24 Oct 2006
Last Modified:02 Oct 2019 23:24

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