Systems of colliding bodies in a gravitational field. I - Numerical simulation of the standard model

Details Systems of colliding bodies in a gravitational field. I - Numerical simulation of the standard model Systems of colliding bodies in a gravitational field. I - Numerical simulation of the standard model

Feb 1977

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1977a%26a....54..895b&link_type=abstract

Astronomy and Astrophysics, vol. 54, no. 3, Feb. 1977, p. 895-907.

Astronomy and Astrophysics

Astrophysics

90

Astronomical Models, Computerized Simulation, Gravitational Fields, Particle Collisions, Saturn Rings, Astrophysics, Galactic Evolution, Inelastic Collisions

Scientific paper

The paper gives numerical results of a systematic analysis of the dynamic evolution of a system consisting of particles interacting through inelastic collisions and moving in the gravitational field of a massive central body. The model was kept simple by neglecting self-attraction of the particles, by assuming the particle orbits to be Keplerian and that the particles are all spheres with same mass and radius. Initially, there is a very fast flattening until the system reaches a quasi-equilibrium state in which, because of differential rotation, collissions still occur. The disk spreads slowly and energy and angular momentum are constantly transferred outwards. In spreading, the disk loses energy which is 'soaked up' by the inelastic collisions. Applied to Saturn's ring, where Cassini's division is neglected, the model yields an inequality relating the age of the ring and the size of the particles, according to which, if the ring is as old as the solar system, the maximum size of the particles is 2.5 m.

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