The Astrophysical Journal

The Astrophysical Journal

Dynamical Models of the Resonant Pair of Planets Orbiting the Star GJ 876

Author

Eugenio J. Rivera 1,2 and Jack J. Lissauer 1

Affiliations

1 Space Science Division, 245-3, NASA Ames Research Center, Moffett Field, CA 94035
2 Also at Department of Physics and Astronomy, State University of New York at Stony Brook, Stony Brook, NY 11794-3800

E-mail

rivera@epimethius.arc.nasa.gov jlissauer@ringside.arc.nasa.gov

Journal

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Issue

Volume 558, Number 1

Citation

Eugenio J. Rivera and Jack J. Lissauer 2001 ApJ 558 392

doi: 10.1086/322477


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ABSTRACT

We present two planet fits to the radial velocity measurements of the M dwarf star GJ 876 that account for the mutual perturbations between the planets, as well as their interactions with the star. We also give the results of long-term integrations testing the stability of some of our best-fit systems. Our Newtonian models fit the data much better than do Keplerian models, reducing the χimg1.gif from 1.88 to as low as 1.34 for an unstable high-inclination system and 1.43 for a stable low-inclination system. Several different local minima with comparable χimg1.gif are found in parameter space; thus, our results are not able to provide tight constraints on the inclinations of the orbits to the line of sight and actual planetary masses. Most sets of planetary parameters that we have derived represent systems that are stable for at least 108 yr. Test particles orbiting between the two planets within our best-fit planar system are lost in less than 300 yr.

 
Subject headings
celestial mechanics; methods: N-body simulations; planetary systems; stars: individual (GJ 876, GJ 876)

Dates

Issue 1 (2001 September 1)

Received 2001 April 6 , accepted for publication 2001 May 7



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