Accretion rates of protoplanets 2: Gaussian distribution of planestesimal velocities

Details Accretion rates of protoplanets 2: Gaussian distribution of planestesimal velocities Accretion rates of protoplanets 2: Gaussian distribution of planestesimal velocities

Jun 1991

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991pggp.rept..538g&link_type=abstract

In NASA, Washington, Reports of Planetary Geology and Geophysics Program, 1990 p 538 (SEE N92-10728 01-91)

Physics

Geophysics

Accretion Disks, Normal Density Functions, Planetary Evolution, Protoplanets, Velocity Distribution, Approximation, Circular Orbits, Eccentricity, Inclination, Mean Square Values, Random Processes, Root-Mean-Square Errors

Scientific paper

The growth rate of a protoplanet embedded in a uniform surface density disk of planetesimals having a triaxial Gaussian velocity distribution was calculated. The longitudes of the aspses and nodes of the planetesimals are uniformly distributed, and the protoplanet is on a circular orbit. The accretion rate in the two body approximation is enhanced by a factor of approximately 3, compared to the case where all planetesimals have eccentricity and inclination equal to the root mean square (RMS) values of those variables in the Gaussian distribution disk. Numerical three body integrations show comparable enhancements, except when the RMS initial planetesimal eccentricities are extremely small. This enhancement in accretion rate should be incorporated by all models, analytical or numerical, which assume a single random velocity for all planetesimals, in lieu of a Gaussian distribution.

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