Uncovering the planets and stellar activity of CoRoT-7 using only radial velocities

Stellar activity can induce signals in the radial velocities of stars, complicating the detection of orbiting low-mass planets. We present a method to determine the number of planetary signals present in radial-velocity datasets of active stars, using only radial-velocity observations. Instead of considering separate fits with different number of planets, we use a birth-death Markov chain Monte Carlo algorithm to infer the posterior distribution for the number of planets in a single run. In a natural way, the marginal distributions for the orbital parameters of all planets are also inferred. This method is applied to HARPS data of CoRoT-7. We confidently recover both CoRoT-7b and CoRoT-7c although the data show evidence for additional signals.

[1]  Robert A. Donahue,et al.  Activity-Related Radial Velocity Variation in Cool Stars , 1997 .

[2]  A. Collier Cameron,et al.  Photospheric activity, rotation, and radial velocity variations of the planet-hosting star CoRoT-7 , 2010, 1005.3602.

[3]  Xavier Bonfils,et al.  Disentangling between stellar activity and planetary signals , 2010 .

[4]  B. Brewer Inference for Trans-dimensional Bayesian Models with Diffusive Nested Sampling , 2014, 1411.3921.

[5]  S. Zucker,et al.  Reassessing the radial-velocity evidence for planets around CoRoT-7 , 2010, 1008.3859.

[6]  M. T. Santos,et al.  On the mass determination of super-Earths orbiting active stars: the CoRoT-7 system , 2010, 1011.2144.

[7]  Steven Reece,et al.  A Gaussian process framework for modelling stellar activity signals in radial velocity data , 2015, 1506.07304.

[8]  Brendon J. Brewer,et al.  Diffusive nested sampling , 2009, Stat. Comput..

[9]  N. Santos,et al.  Do stellar magnetic cycles influence the measurement of precise radial velocities , 2009, 0912.2901.

[10]  Michel Mayor,et al.  ELODIE: A spectrograph for accurate radial velocity measurements , 1996 .

[11]  R. Dvorak,et al.  An Investigation into the Radial Velocity Variations of CoRoT-7 , 2010, 1006.5476.

[12]  Astrophysics,et al.  STELLAR ACTIVITY MIMICS A HABITABLE-ZONE PLANET AROUND KAPTEYN’S STAR , 2015, 1505.02778.

[13]  S. Baliunas,et al.  Rotation, convection, and magnetic activity in lower main-sequence stars , 1984 .

[14]  Brendon J. Brewer,et al.  Fast Bayesian inference for exoplanet discovery in radial velocity data , 2015 .

[15]  F. Pepe,et al.  Line-profile variations in radial-velocity measurements - Two alternative indicators for planetary searches , 2013, 1307.7279.

[16]  Marc Ollivier,et al.  The CoRoT space mission : early results Special feature The CoRoT-7 planetary system : two orbiting super-Earths , 2009 .

[17]  S. Aigrain,et al.  Correction to: A simple method to estimate radial velocity variations due to stellar activity using photometry , 2011, Monthly Notices of the Royal Astronomical Society.

[18]  M. P. Hobson,et al.  Detecting extrasolar planets from stellar radial velocities using Bayesian evidence , 2010, 1012.5129.

[19]  A. Collier Cameron,et al.  Planets and Stellar Activity: Hide and Seek in the CoRoT-7 system , 2013, Proceedings of the International Astronomical Union.

[20]  D. Queloz,et al.  XXXV. The interesting case of HD41248: stellar activity, no planets? , 2014 .

[21]  et al,et al.  The CoRoT space mission : early results Special feature Transiting exoplanets from the CoRoT space mission VIII . CoRoT-7 b : the first super-Earth with measured radius , 2009 .

[22]  S Roberts,et al.  Gaussian processes for time-series modelling , 2013, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[23]  M. Tuomi Bayesian re-analysis of the radial velocities of Gliese 581. Evidence in favour of only four planetary companions , 2011, 1102.3314.

[24]  David M. Kipping,et al.  Parametrizing the exoplanet eccentricity distribution with the beta distribution. , 2013, 1306.4982.

[25]  Jean-Luis Lizon,et al.  Setting New Standards with HARPS , 2003 .

[26]  Christophe Lovis,et al.  Planetary detection limits taking into account stellar noise - I. Observational strategies to reduce stellar oscillation and granulation effects , 2010, 1010.2616.

[27]  R. Haywood,et al.  DETERMINING THE MASS OF KEPLER-78b WITH NONPARAMETRIC GAUSSIAN PROCESS ESTIMATION , 2015, 1501.00369.

[28]  Marseille,et al.  Revisiting the transits of CoRoT-7b at a lower activity level , 2014, 1407.8099.

[29]  Guillaume Hebrard,et al.  THE MASS OF CoRoT-7b , 2011, 1105.3372.

[30]  D. Queloz,et al.  Evidence against the young hot-Jupiter around BD +20 1790 , 2010, 1003.3678.

[31]  S. Udry,et al.  Planetary detection limits taking into account stellar noise - II. Effect of stellar spot groups on radial-velocities , 2011, 1101.0954.

[32]  D. Queloz,et al.  The CORALIE survey for southern extra-solar planets VII - Two short-period Saturnian companions to HD 108147 and HD 168746 , 2002, astro-ph/0202457.