Systems of colliding bodies in a gravitational field - Impact velocity, inelasticity and sizes distributions

Physics

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Celestial Mechanics, Gravitational Fields, Inelastic Collisions, Many Body Problem, Eccentricity, Optical Thickness, Size Distribution, Velocity

Scientific paper

The dynamical evolution of a system of colliding bodies was studied numerically to test the dependence of the rebound coefficient on the impact velocity and to see if there is an equipartition of the random motion kinetic energy when there is a distribution of sizes. It was found that the results of the standard model of Brahic (1977) for the collisions between bodies in a Keplerian field remain valid if the rebound coefficient is a function of the impact velocity. Within the frame of a bimodal distribution of masses, the results are in good agreement with the study of Salo and Lukkari (1984) except that equipartition is not observed. A segregation exists between heavy and light particles in a Keplerian field as does in n-body systems. The system loses an amount of its total energy and a slow decrease of the random motion occurs in both populations.

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