Systems of colliding bodies in a gravitational field. II - Effect of transversal viscosity

Details Systems of colliding bodies in a gravitational field. II - Effect of transversal viscosity Systems of colliding bodies in a gravitational field. II - Effect of transversal viscosity

Jul 1977

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1977a%26a....59....1b&link_type=abstract

Astronomy and Astrophysics, vol. 59, no. 1, July 1977, p. 1-7.

Astronomy and Astrophysics

Astrophysics

18

Astronomical Models, Celestial Mechanics, Gravitational Effects, Inelastic Collisions, Particle Collisions, Galactic Evolution, Saturn Rings, Stellar Motions

Scientific paper

Three-dimensional systems of particles moving in the gravitational field of a central mass and interacting through inelastic collisions are investigated numerically. The evolution of the 'gamma' model is described; the special feature of this model is that the grazing component of the relative velocity of two colliding particles is reduced after each collision. For most cases, the evolution is similar to that of the standard model described in a previous paper: after fast flattening, the system reaches a quasi-equilibrium state in which there is a finite thickness. For very inelastic collisions and contrary to the behavior of the standard model, the disk is completely flattened rapidly, and the system becomes a two-dimensional configuration in which collisions continue to occur. A linear stability analysis of this behavior is given. A pure two-dimensional case is analyzed numerically. The horizontal distribution of particles is found to behave in essentially the same way as in the three-dimensional case.

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