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Bayesian Planet Searches for the 10 cm/s Radial Velocity Era

Published online by Cambridge University Press:  27 October 2016

Philip C. Gregory*
Affiliation:
Physics and Astronomy, University of British Columbia, 6224 Agricultural Rd, Vancouver, British Columbia V6T 1Z1, Canada email: [email protected]
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Abstract

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A new apodized Keplerian model is proposed for the analysis of precision radial velocity (RV) data to model both planetary and stellar activity (SA) induced RV signals. A symmetrical Gaussian apodization function with unknown width and center can distinguish planetary signals from SA signals on the basis of the width of the apodization function. The general model for m apodized Keplerian signals also includes a linear regression term between RV and the stellar activity diagnostic In (R'hk), as well as an extra Gaussian noise term with unknown standard deviation. The model parameters are explored using a Bayesian fusion MCMC code. A differential version of the Generalized Lomb-Scargle periodogram provides an additional way of distinguishing SA signals and helps guide the choice of new periods. Sample results are reported for a recent international RV blind challenge which included multiple state of the art simulated data sets supported by a variety of stellar activity diagnostics.

Type
Contributed Papers
Copyright
Copyright © International Astronomical Union 2016 

References

Gregory, P. C., 2007, MNRAS 381 16071616 Google Scholar
Gregory, P. C., 2013, in Astrostatistical Challenges for the New astronomy, Hilbe, Joseph M. (ed.), Springer Series in Astrostatistics 1, 121 Google Scholar
Zechmeister, M. & Kürster, M., 2009, A&A, 496, 577 Google Scholar