REVISED MASSES AND DENSITIES OF THE PLANETS AROUND KEPLER-10

Determining which small exoplanets have stony-iron compositions is necessary for quantifying the occurrence of such planets and for understanding the physics of planet formation. Kepler-10 hosts the stony-iron world Kepler-10b, and also contains what has been reported to be the largest solid silicate-ice planet, Kepler-10c. Using 220 radial velocities (RVs), including 72 precise RVs from Keck-HIRES of which 20 are new from 2014 to 2015, and 17 quarters of Kepler photometry, we obtain the most complete picture of the Kepler-10 system to date. We find that Kepler-10b ( R p = 1.47 R ⊕ ?> ) has mass 3.72 ± 0.42 M ⊕ ?> and density 6.46 ± 0.73 g cm - 3 ?> . Modeling the interior of Kepler-10b as an iron core overlaid with a silicate mantle, we find that the iron core constitutes 0.17 ± 0.11 of the planet mass. For Kepler-10c ( R p = 2.35 R ⊕ ?> ) we measure mass 13.98 ± 1.79 M ⊕ ?> and density 5.94 ± 0.76 g cm - 3 ?> , significantly lower than the mass computed in Dumusque et al. ( 17.2 ± 1.9 M ⊕ ?> ). Our mass measurement of Kepler-10c rules out a pure stony-iron composition. Internal compositional modeling reveals that at least 10% of the radius of Kepler-10c is a volatile envelope composed of hydrogen–helium (0.2% of the mass, 16% of the radius) or super-ionic water (28% of the mass, 29% of the radius). However, we note that analysis of only HIRES data yields a higher mass for planet b and a lower mass for planet c than does analysis of the HARPS-N data alone, with the mass estimates for Kepler-10 c being formally inconsistent at the 3σ level. Moreover, dividing the data for each instrument into two parts also leads to somewhat inconsistent measurements for the mass of planet c derived from each observatory. Together, this suggests that time-correlated noise is present and that the uncertainties in the masses of the planets (especially planet c) likely exceed our formal estimates. Transit timing variations (TTVs) of Kepler-10c indicate the likely presence of a third planet in the system, KOI-72.X. The TTVs and RVs are consistent with KOI-72.X having an orbital period of 24, 71, or 101 days, and a mass from 1 to 7 M ⊕ ?> .

[1]  A. Bonomo,et al.  THE KEPLER-454 SYSTEM: A SMALL, NOT-ROCKY INNER PLANET, A JOVIAN WORLD, AND A DISTANT COMPANION , 2015, 1511.09097.

[2]  F. Adams,et al.  WASP-47: A HOT JUPITER SYSTEM WITH TWO ADDITIONAL PLANETS DISCOVERED BY K2 , 2015, 1508.02411.

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

[4]  E. Ford,et al.  The mass of the Mars-sized exoplanet Kepler-138 b from transit timing , 2015, Nature.

[5]  Chelsea X. Huang,et al.  THE HUNT FOR EXOMOONS WITH KEPLER (HEK). V. A SURVEY OF 41 PLANETARY CANDIDATES FOR EXOMOONS , 2015, 1503.05555.

[6]  Khadeejah A. Zamudio,et al.  PLANETARY CANDIDATES OBSERVED BY KEPLER. VI. PLANET SAMPLE FROM Q1–Q16 (47 MONTHS) , 2015, 1502.02038.

[7]  Khadeejah A. Zamudio,et al.  PLANETARY CANDIDATES OBSERVED BY KEPLER. V. PLANET SAMPLE FROM Q1–Q12 (36 MONTHS) , 2015, 1501.07286.

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

[9]  A. Szentgyorgyi,et al.  THE MASS OF Kepler-93b AND THE COMPOSITION OF TERRESTRIAL PLANETS , 2014, 1412.8687.

[10]  Jaymie M. Matthews,et al.  CHARACTERIZING K2 PLANET DISCOVERIES: A SUPER-EARTH TRANSITING THE BRIGHT K DWARF HIP 116454 , 2014, 1412.5674.

[11]  C. Lintott,et al.  PLANET HUNTERS. VII. DISCOVERY OF A NEW LOW-MASS, LOW-DENSITY PLANET (PH3 C) ORBITING KEPLER-289 WITH MASS MEASUREMENTS OF TWO ADDITIONAL PLANETS (PH3 B AND D) , 2014, 1410.8114.

[12]  A. Wolfgang,et al.  HOW ROCKY ARE THEY? THE COMPOSITION DISTRIBUTION OF KEPLER’S SUB-NEPTUNE PLANET CANDIDATES WITHIN 0.15 AU , 2014, 1409.2982.

[13]  L. Rogers MOST 1.6 EARTH-RADIUS PLANETS ARE NOT ROCKY , 2014, 1407.4457.

[14]  Andrew Szentgyorgyi,et al.  THE KEPLER-10 PLANETARY SYSTEM REVISITED BY HARPS-N: A HOT ROCKY WORLD AND A SOLID NEPTUNE-MASS PLANET , 2014, 1405.7881.

[15]  E. Agol,et al.  TTVFast: AN EFFICIENT AND ACCURATE CODE FOR TRANSIT TIMING INVERSION PROBLEMS , 2014, 1403.1895.

[16]  E. Agol,et al.  VALIDATION OF KEPLER'S MULTIPLE PLANET CANDIDATES. III. LIGHT CURVE ANALYSIS AND ANNOUNCEMENT OF HUNDREDS OF NEW MULTI-PLANET SYSTEMS , 2014, 1402.6534.

[17]  M. R. Haas,et al.  MASSES, RADII, AND ORBITS OF SMALL KEPLER PLANETS: THE TRANSITION FROM GASEOUS TO ROCKY PLANETS , 2014, 1401.4195.

[18]  David M. Kipping,et al.  THE HUNT FOR EXOMOONS WITH KEPLER (HEK). IV. A SEARCH FOR MOONS AROUND EIGHT M DWARFS , 2014, 1401.1210.

[19]  Peter Tenenbaum,et al.  PLANETARY CANDIDATES OBSERVED BY KEPLER IV: PLANET SAMPLE FROM Q1–Q8 (22 MONTHS) , 2013, 1312.5358.

[20]  G. Marcy,et al.  THE MASS–RADIUS RELATION FOR 65 EXOPLANETS SMALLER THAN 4 EARTH RADII , 2013, 1312.0936.

[21]  G. Marcy,et al.  Prevalence of Earth-size Planets Orbiting Sun-like Stars , 2015, 1510.03902.

[22]  Andrew Szentgyorgyi,et al.  An Earth-sized planet with an Earth-like density , 2013, Nature.

[23]  J. Fortney,et al.  A rocky composition for an Earth-sized exoplanet , 2013, Nature.

[24]  Jack J. Lissauer,et al.  KEPLER-79'S LOW DENSITY PLANETS , 2013, 1310.2642.

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

[26]  J. Eastman,et al.  MOST DETECTS TRANSITS OF HD 97658b, A WARM, LIKELY VOLATILE-RICH SUPER-EARTH , 2013 .

[27]  G. Marcy,et al.  A PLATEAU IN THE PLANET POPULATION BELOW TWICE THE SIZE OF EARTH , 2013, 1304.0460.

[28]  Howard Isaacson,et al.  ALL SIX PLANETS KNOWN TO ORBIT KEPLER-11 HAVE LOW DENSITIES , 2013, 1303.0227.

[29]  Howard Isaacson,et al.  KEPLER-68: THREE PLANETS, ONE WITH A DENSITY BETWEEN THAT OF EARTH AND ICE GIANTS , 2013, 1302.2596.

[30]  F. Fressin,et al.  THE FALSE POSITIVE RATE OF KEPLER AND THE OCCURRENCE OF PLANETS , 2013, 1301.0842.

[31]  Las Cumbres Observatory Global Telescope Network,et al.  PLANETARY CANDIDATES OBSERVED BY KEPLER. III. ANALYSIS OF THE FIRST 16 MONTHS OF DATA , 2012, 1202.5852.

[32]  Daniel Foreman-Mackey,et al.  emcee: The MCMC Hammer , 2012, 1202.3665.

[33]  Y. Lithwick,et al.  EXTRACTING PLANET MASS AND ECCENTRICITY FROM TTV DATA , 2012, 1207.4192.

[34]  John C. Geary,et al.  Kepler-36: A Pair of Planets with Neighboring Orbits and Dissimilar Densities , 2012, Science.

[35]  K. Kinemuchi,et al.  ALMOST ALL OF KEPLER'S MULTIPLE-PLANET CANDIDATES ARE PLANETS , 2012, 1201.5424.

[36]  P. Bodenheimer,et al.  FORMATION AND STRUCTURE OF LOW-DENSITY EXO-NEPTUNES , 2011, 1106.2807.

[37]  K. Kinemuchi,et al.  KEPLER-10 c: A 2.2 EARTH RADIUS TRANSITING PLANET IN A MULTIPLE SYSTEM , 2011, 1105.4647.

[38]  Austin,et al.  KEPLER'S FIRST ROCKY PLANET: KEPLER-10b , 2011, 1102.0605.

[39]  F. Fressin,et al.  CHARACTERISTICS OF PLANETARY CANDIDATES OBSERVED BY KEPLER. II. ANALYSIS OF THE FIRST FOUR MONTHS OF DATA , 2011, 1102.0541.

[40]  F. Fressin,et al.  A closely packed system of low-mass, low-density planets transiting Kepler-11 , 2011, Nature.

[41]  J. Valenti,et al.  THE NASA-UC ETA-EARTH PROGRAM. III. A SUPER-EARTH ORBITING HD 97658 AND A NEPTUNE-MASS PLANET ORBITING Gl 785 , 2010, 1011.0414.

[42]  Daniel C. Fabrycky,et al.  RADIAL VELOCITY PLANETS DE-ALIASED: A NEW, SHORT PERIOD FOR SUPER-EARTH 55 Cnc e , 2010, 1005.4050.

[43]  C. Moutou,et al.  Improved stellar parameters of CoRoT-7 A star hosting two super Earths , 2010, 1005.3208.

[44]  Howard Isaacson,et al.  THE NASA-UC ETA-EARTH PROGRAM. II. A PLANET ORBITING HD 156668 WITH A MINIMUM MASS OF FOUR EARTH MASSES , 2010, 1003.3444.

[45]  Jason T. Wright,et al.  THE CALIFORNIA PLANET SURVEY. I. FOUR NEW GIANT EXOPLANETS , 2010, 1003.3488.

[46]  S. Seager,et al.  A FRAMEWORK FOR QUANTIFYING THE DEGENERACIES OF EXOPLANET INTERIOR COMPOSITIONS , 2009, 0912.3288.

[47]  S. Seager,et al.  THREE POSSIBLE ORIGINS FOR THE GAS LAYER ON GJ 1214b , 2009, 0912.3243.

[48]  S. Seager,et al.  Mass-Radius Relationships for Solid Exoplanets , 2007, 0707.2895.

[49]  R. P. Butler,et al.  ATTAINING DOPPLER PRECISION OF 3 M S-1 , 1996 .

[50]  W. Press,et al.  Fast algorithm for spectral analysis of unevenly sampled data , 1989 .

[51]  G. Schwarz Estimating the Dimension of a Model , 1978 .