Evolution of the Solar Nebula. IV. Giant Gaseous Protoplanet Formation

The discovery of the first extrasolar planets, with masses in the range of ~0.5 MJup (MJup = Jupiter mass) to ~3 MJup, demands a reevaluation of theoretical mechanisms for giant planet formation. Here we consider a long-discarded mechanism, forming giant planets through the gravitational instability of a protoplanetary disk. Radiative hydrodynamical calculations of the thermal structure of an axisymmetric protoplanetary disk with a mass of ~0.13 M☉ (inside 10 AU), orbiting a solar-mass star, predict that the outer disk may be cool enough (~100 ± 50 K) to become gravitationally unstable. This possibility is investigated here with a fully three-dimensional hydrodynamics code. Growth of significant nonaxisymmetry occurs within a few rotation periods of the outer disk and can result in the formation of several discrete, multiple-MJup clumps in <103 yr. These giant gaseous protoplanets (GGPPs) are gravitationally bound and tidally stable and so should eventually form giant planets. Modest-sized solid cores may form through dust grain growth and sedimentation prior to the centers of the GGPPs reaching planetary densities. The inner disk remains nearly axisymmetric throughout these phases, suggesting a scenario in which the formation of terrestrial planets occurs slowly through collisional accumulation in the hot inner nebula, while rapid formation of GGPPs occurs in the cooler regions of the nebula. Falling disk surface densities would restrict GGPP formation to an annulus, outside of which icy outer planets would have to form slowly through collisional accumulation. GGPP formation occurs for both locally isothermal and locally adiabatic disk thermodynamics, provided that the Toomre Q stability parameter indicates instability (Qmin ≈ 1). Low-order modes, especially m = 1 and 2, are dominant. Provided that a means can be found for inducing massive protoplanetary disks to undergo the GGPP instability (e.g., clumpy accretion of infalling gas onto a marginally stable disk), the GGPP mechanism appears to be a prompt alternative to the long-favored but protracted core accretion mechanism of giant planet formation. Observations hold the promise of deciding which of these two mechanisms is preferred by young stars.

[1]  A. Boss Collapse and Fragmentation of Molecular Cloud Cores. V. Loss of Magnetic Field Support , 1997 .

[2]  T. Guillot,et al.  Nonadiabatic Models of Jupiter and Saturn , 1994 .

[3]  P. Cassen,et al.  Evolution of Gravitationally Unstable Protostellar DIsks , 1991 .

[4]  M. Mayor,et al.  A Jupiter-mass companion to a solar-type star , 1995, Nature.

[5]  M. Mumma Hyakutake's interstellar ices , 1996, Nature.

[6]  R. Durisen,et al.  Rotating Protostars and Protostellar Disks. I. Equilibrium Models , 1997 .

[7]  P. Cassen,et al.  Further studies of gravitationally unstable protostellar disks , 1994 .

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

[9]  S. Beckwith,et al.  A Survey for Circumstellar Disks around Young Stellar Objects , 1990 .

[10]  A. Boss Evolution of the Solar Nebula. III. Protoplanetary Disks Undergoing Mass Accretion , 1996 .

[11]  A. Cameron,et al.  Protoplanetary core formation by rain-out of minerals , 1980 .

[12]  M. Hayashi,et al.  Possible Infall in the Gas Disk around L1551 IRS 5 , 1996 .

[13]  W. D. Cochran,et al.  The Discovery of a Planetary Companion to 16 Cygni B , 1997 .

[14]  Dynamics of Circumstellar Disks , 1998, astro-ph/9802191.

[15]  D. Saumon,et al.  The Molecular-Metallic Transition of Hydrogen and the Structure of Jupiter and Saturn , 1992 .

[16]  J. Truran,et al.  The supernova trigger for formation of the solar system , 1977 .

[17]  A. Cameron,et al.  Structure and evolution of isolated giant gaseous protoplanets , 1979 .

[18]  R. Paul Butler,et al.  Three New “51 Pegasi-Type” Planets , 1997 .

[19]  M. Skrutskie,et al.  Detection of circumstellar gas associated with GG Tauri , 1993 .

[20]  J. Pollack Origin and History of the Outer Planets: Theoretical Models and Observational Constraints , 1984 .

[21]  P. Bodenheimer,et al.  Calculations of the evolution of the giant planets , 1980 .

[22]  A. Boss Evolution of the solar nebula II. Thermal structure during nebula formation , 1993 .

[23]  R. H. Miller,et al.  Numerical experiments on the stability of preplanetary disks , 1981 .

[24]  Richard I. Klein,et al.  The Jeans Condition: A New Constraint on Spatial Resolution in Simulations of Isothermal Self-Gravitational Hydrodynamics , 1997 .

[25]  Alan P. Boss,et al.  Giant Planet Formation by Gravitational Instability , 1997 .

[26]  Alan P. Boss,et al.  Astrometric signatures of giant-planet formation , 1998, Nature.

[27]  D. Richardson,et al.  A Search for Jupiter-Mass Companions to Nearby Stars , 1995 .

[28]  R. Paul Butler,et al.  The Planet around 51 Pegasi , 1997 .

[29]  P. Bodenheimer,et al.  The formation of protostellar disks. I - 1 M(solar) , 1993 .

[30]  W. Langer,et al.  CCS Observations of the Protostellar Envelope of B335 , 1995 .

[31]  A. Boss Angular momentum transfer by gravitational torques and the evolution of binary protostars , 1984 .

[32]  Jack J. Lissauer,et al.  Timescales for planetary accretion and the structure of the protoplanetary disk , 1986 .

[33]  A. Boss TEMPERATURES IN PROTOPLANETARY DISKS , 1998 .

[34]  T. Guillot,et al.  New Constraints on the Composition of Jupiter from Galileo Measurements and Interior Models , 1997, astro-ph/9707210.

[35]  George W. Wetherill,et al.  Formation of the Earth , 1990 .

[36]  S. Chandrasekhar Hydrodynamic and Hydromagnetic Stability , 1961 .

[37]  A. Cameron,et al.  The first ten million years in the solar nebula , 1995 .

[38]  R. Paul Butler,et al.  A Planet Orbiting 47 Ursae Majoris , 1996 .

[39]  P. Bodenheimer,et al.  Nonaxisymmetric evolution in protostellar disks , 1994 .

[40]  T. Mazeh,et al.  The High Eccentricity of the Planet Orbiting 16 Cygni B , 1996, astro-ph/9611135.

[41]  D. Lin,et al.  On the tidal interaction between protoplanets and the protoplanetary disk. III. Orbital migration of protoplanets , 1986 .

[42]  Fred C. Adams,et al.  Sling amplification and eccentric gravitational instabilities in gaseous disks , 1990 .

[43]  A. Toomre,et al.  On the gravitational stability of a disk of stars , 1964 .

[44]  Alan P. Boss,et al.  Collapse and fragmentation of molecular cloud cores. 2: Collapse induced by stellar shock waves , 1995 .

[45]  B. V. Leer,et al.  Towards the ultimate conservative difference scheme III. Upstream-centered finite-difference schemes for ideal compressible flow , 1977 .

[46]  P. Nisenson,et al.  A Planet Orbiting the Star ρ Coronae Borealis , 1997 .

[47]  R. Durisen,et al.  The Dynamic Stability of Rotating Protostars and Protostellar Disks. I. The Effects of the Angular Momentum Distribution , 1996 .

[48]  G. Laughlin,et al.  The Effect of Gravitational Instabilities on Protostellar Disks , 1996 .

[49]  K. Hourigan,et al.  Orbital migration of protoplanets - The inertial limit , 1989 .

[50]  John E. Carlstrom,et al.  Constraints on the HL Tauri Protostellar Disk from Millimeter- and Submillimeter-Wave Interferometry , 1997 .

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

[52]  A. G. W. Cameron,et al.  Physics of the primitive solar accretion disk , 1978 .

[53]  E. Ostriker,et al.  Near-resonant excitation and propagation of eccentric density waves by external forcing. [in accretion disks] , 1992 .

[54]  A. Boss,et al.  Protostellar Hydrodynamics: Constructing and Testing a Spatially and Temporally Second-Order--accurate Method. I. Spherical Coordinates , 1992 .

[55]  A. Boss A Heuristic Criterion for Instability to Fragmentation in Rotating, Interstellar Clouds , 1982 .

[56]  S. Tremaine,et al.  Chaotic variations in the eccentricity of the planet orbiting 16 Cygni B , 1997, Nature.

[57]  Gerard P. Kuiper Origin of the Solar System , 1938 .

[58]  Fred C. Adams,et al.  Eccentric gravitational instabilities in nearly Keplerian disks , 1989 .

[59]  G. Laughlin,et al.  Spiral Mode Saturation in Self-Gravitating Disks , 1997 .

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