A Bayesian re-analysis of HD 11964 extrasolar planet data

Astronomy and Astrophysics – Astronomy

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A Bayesian multi-planet Kepler periodogram has been developed for the analysis of precision radial velocity data (Gregory, ApJ, 631, 1198, 2005 and Astro-ph/0609229). The periodogram employs a parallel tempering Markov chain Monte Carlo algorithm. The HD 11964 data (Butler et al. ApJ, 646, 505, 2006) has been re-analyzed using 1, 2, 3 and 4 planet models. Each model incorporates an extra noise parameter which can allow for additional independent Gaussian noise beyond the known measurement uncertainties. The most probable model exhibits three periods of 38.02-0.05+0.06, 360-4+4 and 1924-43+44d, and eccentricities of 0.22-0.22+0.11, 0.63-0.17+0.34 and 0.05-0.05+0.03, respectively. Assuming the three signals (each one consistent with a Keplerian orbit) are caused by planets, the corresponding limits on planetary mass (M sin i) and semi-major axis are
(0.090-0.14+0.15 MJ, 0.253-0.009+0.009 au), (0.21-0.02+0.05 MJ, 1.13-0.04+0.04 au), (0.77-0.08+0.08 MJ, 3.46-0.13+0.13 au), respectively. The small difference (1.3 sigma) between the 360 day period and one year suggests that it might be worth investigating the barycentric correction for the HD 11964 data. This research was supported in part by a grant from the Canadian Natural Sciences and Engineering Research Council of Canada at the University of British Columbia.

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