Multiplanet System Detection and Estimation Using Astrometry and Radial Velocity Measurements

Details Multiplanet System Detection and Estimation Using Astrometry and Radial Velocity Measurements Multiplanet System Detection and Estimation Using Astrometry and Radial Velocity Measurements

Jan 2009

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2009aas...21330003z&link_type=abstract

American Astronomical Society, AAS Meeting #213, #300.03; Bulletin of the American Astronomical Society, Vol. 41, p.268

Mathematics

Probability

Scientific paper

We present a methods used by the SIM science team in the double blind test requested by NASA for detecting earth-like planets in a multiplanet system. The usual hierarchical planet detection approach is adopted to progressively search for, identify, and remove the most dominant periodical signals from the astrometric and radial velocity measurements using a periodogram based on chi-squares reduction. Our new periodogram is a generalization of the Lomb-Scargle periodogram using the reduction in chi-squares from fitting out a combination of a cosine and sine functions of a frequency under consideration simultaneously with proper motions and parallax. This generalization not only avoids the interplay between the periodical signal of consideration and the proper motion and parallax but also makes combining astrometry and radial velocity signals easier. We calculate the false alarm probability using the chi-squares statistics. Consistency checks on the reductions of the chi-squares for both the astrometry and radial velocity when removing an orbit can be used to eliminate possible false detections. A joint astrometry and radial velocity least-squares fitting with five nonlinear parameters per planet are used to determine the orbital elements. The Cramer-Rao bounds for the estimated orbital parameters are derived from a numerically computed information matrix to quantify the uncertainties in the estimation. We found that this method was able to detect most of the earth-like planets with rarely any false alarms for the double blind data sets.

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