Velocity dependent coefficient of restitution and the evolution of collisional systems

Statistics – Computation

Scientific paper

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Accretion Disks, Computational Astrophysics, Elastic Scattering, Gravitational Fields, Orbital Velocity, Particle Collisions, Planetary Systems, Impact, Kepler Laws, Planetary Rings

Scientific paper

Numerical simulations of 250 mutually colliding particles, revolving in the gravitational field of a central body, indicate that velocity-dependent coefficient of restitution, alpha = alpha(v), can lead to a many-particle thick equilibrium state, independent of the initial conditions. The essential requirement for this to take place is that d(alpha)/dv be less than O, in agreement with theoretical predictions. In the case of d(alpha)/dv greater than O, the system either disperses through growing random velocities or flattens to a near-monolayer state, depending on the initial conditions.

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