Planet formation with envelope enrichment: new insights on planetary diversity

We compute, for the first time, self-consistent models of planet growth including the effect of envelope enrichment. The change of envelope metallicity is assumed to be the result of planetesimal disruption or icy pebble sublimation. We solve internal structure equations taking into account global energy conservation for the envelope to compute in-situ planetary growth. We consider different opacities and equations of state suited for a wide range of metallicities. We find that envelope enrichment speeds up the formation of gas giants. It also explains naturally the formation of low and intermediate mass objects with large fractions of H-He (~ 20 - 30 % in mass). High opacity models explain well the metallicity of the giant planets of the solar system, whereas low opacity models are suited for forming small mass objects with thick H-He envelopes and gas giants with sub-solar envelope metallicities. We find good agreement between our models and the estimated water abundance for WASP-43b. For HD 189733b, HD 209458b and WASP-12b we predict fractions of water larger than what is estimated from observations, by at least a factor ~ 2. Envelope enrichment by icy planetesimals is the natural scenario to explain the formation of a large variety of objects, ranging from mini-Neptunes, to gas giants. We predict that the total and envelope metallicity decrease with planetary mass.

[1]  B. Militzer,et al.  MISCIBILITY CALCULATIONS FOR WATER AND HYDROGEN IN GIANT PLANETS , 2015, 1505.07885.

[2]  Peter Bodenheimer,et al.  Calculations of the accretion and evolution of giant planets: The effects of solid cores , 1986 .

[3]  A. Johansen,et al.  The growth of planets by pebble accretion in evolving protoplanetary discs , 2015 .

[4]  C. Mordasini,et al.  Grain opacity and the bulk composition of extrasolar planets. II. An analytical model for the grain opacity in protoplanetary atmospheres , 2014, 1406.4127.

[5]  A. Youdin,et al.  ON THE MINIMUM CORE MASS FOR GIANT PLANET FORMATION AT WIDE SEPARATIONS , 2013, 1311.0011.

[6]  Y. Alibert,et al.  Gas composition of the main volatile elements in protoplanetary discs and its implication for planet formation , 2015 .

[7]  A. Johansen,et al.  Separating gas-giant and ice-giant planets by halting pebble accretion , 2014, 1408.6087.

[8]  H. Mizuno,et al.  Formation of the Giant Planets , 1980 .

[9]  Sara Seager,et al.  A PRECISE WATER ABUNDANCE MEASUREMENT FOR THE HOT JUPITER WASP-43b , 2014, 1410.2255.

[10]  Drake Deming,et al.  H2O ABUNDANCES IN THE ATMOSPHERES OF THREE HOT JUPITERS , 2014, 1407.6054.

[11]  Thiabaud Amaury,et al.  Gas composition of main volatile elements in protoplanetary discs and its implication for planet formation , 2014, 1412.5784.

[12]  E. Chiang,et al.  BREEDING SUPER-EARTHS AND BIRTHING SUPER-PUFFS IN TRANSITIONAL DISKS , 2015, 1510.08855.

[13]  Jack J. Lissauer,et al.  Accretion of the gaseous envelope of Jupiter around a 5–10 Earth-mass core , 2005 .

[14]  J. Pollack,et al.  Interactions of planetesimals with protoplanetary atmospheres , 1988 .

[15]  A. Fortier,et al.  Simultaneous formation of solar system giant planets , 2011, 1105.2018.

[16]  D. Hunten,et al.  The composition of the Jovian atmosphere as determined by the Galileo probe mass spectrometer. , 1998, Journal of geophysical research.

[17]  J. Fortney,et al.  UNDERSTANDING THE MASS–RADIUS RELATION FOR SUB-NEPTUNES: RADIUS AS A PROXY FOR COMPOSITION , 2013, 1311.0329.

[18]  A. Fortier,et al.  Oligarchic planetesimal accretion and giant planet formation , 2007, 0709.1454.

[19]  Jack J. Lissauer,et al.  Formation of the Giant Planets by Concurrent Accretion of Solids and Gas , 1995 .

[20]  A. Cameron,et al.  Hydrodynamic instability of the solar nebula in the presence of a planetary core , 1974 .

[21]  G. Orton,et al.  Line-by-line analysis of Neptune's near-IR spectrum observed with Gemini/NIFS and VLT/CRIRES , 2014 .

[22]  Willy Benz,et al.  Extrasolar planet population synthesis I: Method, formation tracks and mass-distance distribution , 2009, 0904.2524.

[23]  M. Marley,et al.  GASEOUS MEAN OPACITIES FOR GIANT PLANET AND ULTRACOOL DWARF ATMOSPHERES OVER A RANGE OF METALLICITIES AND TEMPERATURES , 2014, 1409.0026.

[24]  B. M. Mow Interior of Jupiter , 1974 .

[25]  J. Livingston,et al.  A CHARACTERISTIC TRANSMISSION SPECTRUM DOMINATED BY H2O APPLIES TO THE MAJORITY OF HST/WFC3 EXOPLANET OBSERVATIONS , 2015, 1512.00151.

[26]  M. G. Parisi,et al.  Planetesimal fragmentation and giant planet formation , 2014, Astronomy & Astrophysics.

[27]  Burkhard Militzer,et al.  Rocky core solubility in Jupiter and giant exoplanets. , 2011, Physical review letters.

[28]  Gilles Chabrier,et al.  An Equation of State for Low-Mass Stars and Giant Planets , 1995 .

[29]  Jack J. Lissauer,et al.  Models of Jupiter's growth incorporating thermal and hydrodynamic constraints , 2008, 0810.5186.

[30]  R. Helled,et al.  CONVECTION AND MIXING IN GIANT PLANET EVOLUTION , 2015, 1502.03270.

[31]  H. J. Melosh,et al.  A hydrocode equation of state for SiO2 , 2007 .

[32]  Y. Alibert,et al.  Characterization of exoplanets from their formation - I. Models of combined planet formation and evolution , 2012, 1206.6103.

[33]  E. Chiang,et al.  MAKE SUPER-EARTHS, NOT JUPITERS: ACCRETING NEBULAR GAS ONTO SOLID CORES AT 0.1 AU AND BEYOND , 2014, 1409.3578.

[34]  S. Inaba,et al.  Enhanced collisional growth of a protoplanet that has an atmosphere , 2003 .

[35]  A. Fortier,et al.  Planet formation models: the interplay with the planetesimal disc , 2012, 1210.4009.

[36]  T. Henning,et al.  Rosseland and Planck mean opacities for protoplanetary discs , 2003, astro-ph/0308344.

[37]  Masahiro Ikoma,et al.  Formation of Giant Planets: Dependences on Core Accretion Rate and Grain Opacity , 2000 .

[38]  P. Bodenheimer,et al.  THE FORMATION OF URANUS AND NEPTUNE: CHALLENGES AND IMPLICATIONS FOR INTERMEDIATE-MASS EXOPLANETS , 2014, 1404.5018.

[39]  Drake Deming,et al.  A continuum from clear to cloudy hot-Jupiter exoplanets without primordial water depletion , 2016, Nature.

[40]  C. Ormel AN ATMOSPHERIC STRUCTURE EQUATION FOR GRAIN GROWTH , 2014, 1406.4146.

[41]  I. Baraffe,et al.  Structure and evolution of super-Earth to super-Jupiter exoplanets - I. Heavy element enrichment in the interior , 2008, 0802.1810.

[42]  Willy Benz,et al.  Models of giant planet formation with migration and disc evolution , 2004 .

[43]  D. Stevenson Formation of the giant planets , 1982 .

[44]  G. Wuchterl The Critical Mass for Protoplanets Revisited: Massive Envelopes through Convection , 1993 .

[45]  CRITICAL PROTOPLANETARY CORE MASSES IN PROTOPLANETARY DISKS AND THE FORMATION OF SHORT-PERIOD GIANT PLANETS , 1999, astro-ph/9903310.

[46]  Drake Deming,et al.  Water vapour absorption in the clear atmosphere of a Neptune-sized exoplanet , 2014, Nature.

[47]  Ravit Helled,et al.  INTERIOR MODELS OF URANUS AND NEPTUNE , 2010, 1010.5546.

[48]  Yasunori Hori,et al.  Gas giant formation with small cores triggered by envelope pollution by icy planetesimals , 2011, 1106.2626.

[49]  W. Benz,et al.  Critical core mass for enriched envelopes: the role of H2O condensation , 2015, 1502.01160.

[50]  D. Plettemeier,et al.  Properties of the 67P/Churyumov-Gerasimenko interior revealed by CONSERT radar , 2015, Science.

[51]  David R. Alexander,et al.  Low-Temperature Rosseland Opacities , 1975 .

[52]  Michiel Lambrechts,et al.  Rapid growth of gas-giant cores by pebble accretion , 2012, 1205.3030.