Collins, Benjamin F. and Sari, Re'em (2006) Protoplanet Dynamics in a Shear-dominated Disk. Astronomical Journal, 132 (3). pp. 1316-1321. ISSN 0004-6256 http://resolver.caltech.edu/CaltechAUTHORS:20110224-082841251
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The velocity dispersion, or eccentricity distribution, of protoplanets interacting with planetesimals is set by a balance between dynamical friction and viscous stirring. We calculate analytically the eccentricity distribution function of protoplanets embedded in a cold, shear-dominated planetesimal swarm. We find a distinctly non-Rayleigh distribution with a simple analytical form. The peak of the distribution lies much lower than the rms value, indicating that while most of the bodies have similarly small eccentricities, a small subset of the population contains most of the thermal energy. We also measure the shear-dominated eccentricity distribution using numerical simulations. The numerical code treats each protoplanet explicitly and adds an additional force term to each body to represent the dynamical friction of the planetesimals. Without fitting any parameters, the eccentricity distribution of protoplanets in the N-body simulation agrees with the analytical results. This distribution function provides a useful tool for testing hybrid numerical simulations of late-stage planet formation.
|Additional Information:||© 2006 The American Astronomical Society. Received 2006 March 23; accepted 2006 June 1. We thank Scott Kenyon and the anonymous referee for their useful comments. R. S. is an Alfred P. Sloan Fellow and a Packard Fellow.|
|Subject Keywords:||planets and satellites: formation; solar system: formation|
|Official Citation:||Benjamin F. Collins and Re’em Sari 2006 The Astronomical Journal 132 1316 doi: 10.1086/506388|
|Usage Policy:||No commercial reproduction, distribution, display or performance rights in this work are provided.|
|Deposited By:||Ruth Sustaita|
|Deposited On:||24 Feb 2011 22:20|
|Last Modified:||26 Dec 2012 12:57|
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