Equilibrium velocities of a planetesimal population

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Planetary Evolution, Planetology, Protoplanets, Angular Velocity, Astronomical Models, Collision Parameters, Computer Techniques, Kinetic Energy, Rates (Per Time)

Scientific paper

The random velocities of planetesimal populations specified by maximum and minimum masses and a power-law number density are calculated iteratively. The calculation is based on two different physical models involving ratios of rates: (1) excitation of kinetic energy by gravitational perturbation and elastic collision equal to damping of kinetic energy by inelastic collisions; and (2) excitation of kinetic energy a ratio b (about 3 usually) to doubling of mass. Both physical models are developed approximately and then more precisely. The approximate model (2) agrees with results of Safronov (1972). Both precise models are applied to populations approximating those generated by the calculations of Greenberg et al. (1978), Cox and Lewis (1979), and Wetherill (1979).

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