Journal Article

Statistics and universality in simplified models of planetary formation

C. Hernández-Mena and L. Benet

in Monthly Notices of the Royal Astronomical Society

Published on behalf of The Royal Astronomical Society

Volume 412, issue 1, pages 95-106
Published in print March 2011 | ISSN: 0035-8711
Published online March 2011 | e-ISSN: 1365-2966 | DOI: http://dx.doi.org/10.1111/j.1365-2966.2010.17885.x
Statistics and universality in simplified models of planetary formation

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In this paper, we modify Laskar’s simplified model of planetary evolution and accretion to account for the full conservation of the total angular momentum of the system, and extend it to incorporate an accretion probability that depends on the mass and relative velocity of the colliding particles. We present statistical results for the mass and eccentricity of the planets formed, in terms of their semimajor axes, for a large number of realizations of different versions of the model. In particular, we find that by combining the mass-dependent accretion probability and the velocity-selection mechanism, the planets formed display a systematic occurrence at specific locations. By introducing properly scaled variables, our results are universal with respect to the total angular momentum of the system, the mass of the planetesimal disc and the mass of the central star.

Keywords: methods: numerical; methods: statistical; celestial mechanics; planets and satellites: formation

Journal Article.  9402 words.  Illustrated.

Subjects: Astronomy and Astrophysics

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