Dynamical Models of the Planets Orbiting the Star GJ 876 Subject to Doppler and Astrometric Constraints

Details Dynamical Models of the Planets Orbiting the Star GJ 876 Subject to Doppler and Astrometric Constraints Dynamical Models of the Planets Orbiting the Star GJ 876 Subject to Doppler and Astrometric Constraints

Aug 2003

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2003dda....34.0803r&link_type=abstract

American Astronomical Society, DDA meeting #34, #08.03; Bulletin of the American Astronomical Society, Vol. 35, p.1042

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Scientific paper

We present two planet fits to the radial velocity measurements taken at the Keck observatory of the star GJ 876 that account for the mutual perturbations between the planets. Additionally, the guessed parameters that are used to start the iterative procedure to determine the fits are constrained by recent astrometric measurements of the star performed by Benedict et al. (2002; ApJ 581, L115). For some fits, it was also assumed that the planets were nearly coplanar; specifically, the inclinations were within 6o of each other, centered around 25o, and the difference in the nodes was < 4o. With fixed inclinations, the √ χν2 lies in the range 1.62 to 1.66. When the inclinations (and one of the nodes) are fitted, the fitting procedure converged to the same set of parameters for about 80% of the (initial guessed) parameter space surveyed, with a √ χν2 of 1.6552. In all cases, the mutual inclination was < 20o and the planetary masses were close to their nominal values. Thus, with the astrometric constraints and the assumption that the system is nearly coplanar, these dynamical fits can place strong constraints on the system parameters. Without the astrometric constraints, the fitting algorithm can still find stable systems with large mutual inclinations or with coplanar, but significantly more massive planets.

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