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2009ApJS..182..205W - Astrophys. J., Suppl. Ser., 182, 205-215 (2009/May-0)

Efficient fitting of multiplanet Keplerian models to radial velocity and astrometry data.


Abstract (from CDS):

We describe a technique for solving for the orbital elements of multiple planets from radial velocity (RV) and/or astrometric data taken with 1 m/s and µas precision, appropriate for efforts to detect Earth-massed planets in their stars' habitable zones, such as NASA's proposed Space Interferometry Mission. We include details of calculating analytic derivatives for use in the Levenberg-Marquardt (LM) algorithm for the problems of fitting RV and astrometric data separately and jointly. We also explicate the general method of separating the linear and nonlinear components of a model fit in the context of an LM fit, show how explicit derivatives can be calculated in such a model, and demonstrate the speed up and convergence improvements of such a scheme in the case of a five-planet fit to published RV data for 55 Cnc.

Abstract Copyright:

Journal keyword(s): astrometry - methods: data analysis - methods: numerical - planetary systems - techniques: radial velocities

Errata: erratum vol. 205, art. 22 (2013)

Simbad objects: 9

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