Mathematics – Probability
Scientific paper
Dec 1990
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990icar...88..336w&link_type=abstract
Icarus (ISSN 0019-1035), vol. 88, Dec. 1990, p. 336-354.
Mathematics
Probability
63
Astronomical Models, Planetary Evolution, Planetary Mass, Protoplanets, Kinetic Theory, Mass Distribution, Probability Theory, Size Distribution
Scientific paper
Three cases for which the analytic solutions to the planetary embryo coagulation equation are known, namely those of constant coagulation rate, of rate proportional to the sum of the masses of the two colliding bodies, and of rate proportional to the product of their masses, are presently used to test the mathematical validity of the Wetherill and Stewart (1989) physical model for the evolution of planetary embryos' mass distribution. In all cases, excellent agreement is found between numerical physical modeling results and those of the analytic solutions. The treatment of the runaway case can proceed via extension of the efforts of Trubnikov (1971).
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