COLLISIONAL STRIPPING AND DISRUPTION OF SUPER-EARTHS

The final stage of planet formation is dominated by collisions between planetary embryos. The dynamics of this stage determine the orbital configuration and the mass and composition of planets in the system. In the solar system, late giant impacts have been proposed for Mercury, Earth, Mars, and Pluto. In the case of Mercury, this giant impact may have significantly altered the bulk composition of the planet. Here we present the results of smoothed particle hydrodynamics simulations of high-velocity (up to ~5v esc) collisions between 1 and 10 M ⊕ planets of initially terrestrial composition to investigate the end stages of formation of extrasolar super-Earths. As found in previous simulations of collisions between smaller bodies, when collision energies exceed simple merging, giant impacts are divided into two regimes: (1) disruption and (2) hit-and-run (a grazing inelastic collision and projectile escape). Disruption occurs when the impact parameter is near zero, when the projectile mass is small compared to the target, or at extremely high velocities. In the disruption regime, we derive the criteria for catastrophic disruption (when half the total colliding mass is lost), the transition energy between accretion and erosion, and a scaling law for the change in bulk composition (iron-to-silicate ratio) resulting from collisional stripping of a mantle.

[1]  Avi M. Mandell,et al.  Formation of Earth-like Planets During and After Giant Planet Migration , 2007, astro-ph/0701048.

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

[3]  Willy Benz,et al.  Collisional stripping of Mercury's mantle , 1988 .

[4]  W. Benz Low Velocity Collisions and the Growth of Planetesimals , 2000 .

[5]  F. Rasio,et al.  Gas Disks to Gas Giants: Simulating the Birth of Planetary Systems , 2008, Science.

[6]  V. Springel The Cosmological simulation code GADGET-2 , 2005, astro-ph/0505010.

[7]  R. Canup Lunar-forming collisions with pre-impact rotation , 2007 .

[8]  S. Kenyon,et al.  A Hybrid N-Body-Coagulation Code for Planet Formation , 2006, astro-ph/0602327.

[9]  L. Hernquist,et al.  Some cautionary remarks about smoothed particle hydrodynamics , 1993 .

[10]  G. Wetherill,et al.  Provenance of the terrestrial planets. , 1994, Geochimica et cosmochimica acta.

[11]  S. Stewart,et al.  Impact crater formation in icy layered terrains on Mars , 2006 .

[12]  Volker Springel,et al.  Cosmological SPH simulations: The entropy equation , 2001 .

[13]  William K. Hartmann,et al.  Satellite-Sized Planetesimals and Lunar Origin , 1975 .

[14]  Hans-Peter Schertl,et al.  Geochim. cosmochim. acta , 1989 .

[15]  J. Monaghan,et al.  Smoothed particle hydrodynamics: Theory and application to non-spherical stars , 1977 .

[16]  R. Canup,et al.  A Giant Impact Origin of Pluto-Charon , 2005, Science.

[17]  W. Benz,et al.  Catastrophic Disruptions Revisited , 1999 .

[18]  H. Palme,et al.  Collisional erosion and the non-chondritic composition of the terrestrial planets , 2008, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[19]  D. Rouan,et al.  Exoplanet detection capability of the COROT space mission , 2003 .

[20]  Erik Asphaug,et al.  Growth and Evolution of Asteroids , 2009 .

[21]  Sarah T. Stewart,et al.  VELOCITY-DEPENDENT CATASTROPHIC DISRUPTION CRITERIA FOR PLANETESIMALS , 2009 .

[22]  Erik Asphaug,et al.  Hit-and-run planetary collisions , 2006, Nature.

[23]  O. Aharonson,et al.  Mega-impact formation of the Mars hemispheric dichotomy , 2008, Nature.

[24]  Diana Valencia,et al.  Detailed Models of Super-Earths: How Well Can We Infer Bulk Properties? , 2007, 0704.3454.

[25]  L. Hernquist,et al.  TREESPH: A Unification of SPH with the Hierarchical Tree Method , 1989 .

[26]  Elisabetta Pierazzo,et al.  A Reevaluation of Impact Melt Production , 1997 .

[27]  H. Melosh,et al.  ASTEROIDS : SHATTERED BUT NOT DISPERSED , 1997 .

[28]  J. Lunine,et al.  Terrestrial Planet Formation in Disks with Varying Surface Density Profiles , 2005, astro-ph/0507004.

[29]  Lars Hernquist,et al.  Comparing AMR and SPH Cosmological Simulations. I. Dark Matter and Adiabatic Simulations , 2003, astro-ph/0312651.

[30]  V. Springel,et al.  Cosmological smoothed particle hydrodynamics simulations: the entropy equation , 2002 .

[31]  H. F. Astrophysics,et al.  Internal structure of massive terrestrial planets , 2005, astro-ph/0511150.

[32]  R. Canup,et al.  A Scaling Relationship for Satellite-Forming Impacts , 2001 .

[33]  The formation and habitability of terrestrial planets in the presence of close-in giant planets , 2004, astro-ph/0407620.

[34]  Harold F. Levison,et al.  On the Character and Consequences of Large Impacts in the Late Stage of Terrestrial Planet Formation , 1999 .

[35]  Erik Asphaug,et al.  Accretion Efficiency during Planetary Collisions , 2004 .

[36]  Alessandro Morbidelli,et al.  Coupling dynamical and collisional evolution of small bodies: an application to the early ejection of planetesimals from the Jupiter-Saturn region , 2003 .

[37]  R. Canup,et al.  Simulations of a late lunar-forming impact , 2004 .

[38]  W. Benz,et al.  The Origin of Mercury , 2007 .

[39]  H. V. Gelder The Netherlands , 2004, Constitutions of Europe (2 vols.).

[40]  H. Melosh Impact Cratering: A Geologic Process , 1986 .

[41]  J. Chambers Planetary accretion in the inner Solar System , 2004 .

[42]  Derek C. Richardson,et al.  Size-frequency distributions of fragments from SPH/N-body simulations of asteroid impacts: Comparison with observed asteroid families , 2007 .

[43]  L. Lucy A numerical approach to the testing of the fission hypothesis. , 1977 .