Accretion rates of protoplanets. II - Gaussian distributions of planetesimal velocities

Physics

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Mass Transfer, Normal Density Functions, Planetary Evolution, Planetary Mass, Protoplanets, Velocity Distribution, Circular Orbits, Root-Mean-Square Errors, Three Body Problem, Two Body Problem

Scientific paper

In the present growth-rate calculations for a protoplanet that is embedded in a disk of planetesimals with triaxial Gaussian velocity dispersion and uniform surface density, the protoplanet is on a circular orbit. The accretion rate in the two-body approximation is found to be enhanced by a factor of about 3 relative to the case where all planetesimals' eccentricities and inclinations are equal to the rms values of those disk variables having locally Gaussian velocity dispersion. This accretion-rate enhancement should be incorporated by all models that assume a single random velocity for all planetesimals in lieu of a Gaussian distribution.

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