Statistics – Computation
Scientific paper
Sep 1990
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990icar...87...40g&link_type=abstract
Icarus (ISSN 0019-1035), vol. 87, Sept. 1990, p. 40-77.
Statistics
Computation
85
Gravitational Effects, Planetary Evolution, Planetary Mass, Protoplanets, Computational Astrophysics, Eccentricity, Equations Of Motion, Rates (Per Time), Three Body Problem
Scientific paper
Projections are made of the collision/accretion rates of planetesimals in a uniform surface-density disk with a massive protoplanet, whose collision cross-section is enhanced, relative to its geometric cross-section, by a gravitational focusing of the planetesimals' trajectories. A scaling method is presented which generalizes the results obtained to protoplanets of arbitrary mass, radius, and orbital semimajor axis. It is established that, in the case where one protoplanet dominates gravitational scattering in a given protoplanetary disk region, planetesimal inclinations are substantially less rapidly excited than eccentrocities; the skewed velocity dispersion thus generated allows for a more rapid rate of protoplanet growth.
Greenzweig Yuval
Lissauer Jack . J.
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