Statistics – Computation
Scientific paper
May 1987
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987pggp.rept..108g&link_type=abstract
In NASA, Washington, Reports of Planetary Geology and Geophysics Program, 1986 p 108 (SEE N87-23341 16-91)
Statistics
Computation
Deposition, Planetary Mass, Protoplanets, Scaling Laws, Computation, Numerical Integration, Orbits, Particles, Three Body Problem, Velocity
Scientific paper
Current theories of runaway planetary accretion require small random velocities of the accreted particles. Two body gravitational accretion cross sections which ignore tidal perturbations of the Sun are not valid for the slow encounters which occur at low relative velocities. Wetherill and Cox have studied accretion cross sections for rocky protoplanets orbiting at 1 AU. Using analytic methods based on Hill's lunar theory, one can scale these results for protoplanets that occupy the same fraction of their Hill sphere as does a rocky body at 1 AU. Generalization to bodies of different sizes is achieved here by numerical integrations of the three-body problem. Starting at initial positions far from the accreting body, test particles are allowed to encounter the body once, and the cross section is computed. A power law is found relating the cross section to the radius of the accreting body (of fixed mass).
Greenzweig Yuval
Lissauer Jack . J.
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