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The Formation of Disks by Inelastic Collisions of Gravitating Particles. Applications to the Dynamics of the Saturn's Ring and to the Formation of the Solar System

Published online by Cambridge University Press:  14 August 2015

A. Brahic*
Affiliation:
Observatoire de Paris-Meudon, Université de Paris VII, France

Abstract

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We integrate numerically the evolution of a three-dimensional system of particles with finite dimensions, which bounce inelastically upon each other. The particles are subjected to the attraction of a central mass; their mutual attraction is neglected. This model is used to study the evolution of Saturn's ring. The first results are presented: such a collision mechanism can flatten very quickly the Saturn's ring and the system tends towards a final equilibrium state.

Type
Research Article
Copyright
Copyright © Reidel 1974 

References

Alder, B. J. and Wainwright, T. E.: 1959, J. Chem. Phys. 31, 459.CrossRefGoogle Scholar
Alder, B. J. and Wainwright, T. E.: 1960, J. Chem. Phys. 33, 1439.CrossRefGoogle Scholar
Alfvén, H. and Arrhenius, G.: 1970a, Astrophys. Space Sci. 8, 338.CrossRefGoogle Scholar
Alfvén, H. and Arrhenius, G.: 1970b, Astrophys. Space Sci. 9, 3.CrossRefGoogle Scholar
Bobrov, M.S.: 1970, in Dollfus, A. (ed.), Surfaces and Interiors of Planets and Satellites , Academic Press, London, New York, p. 377.Google Scholar
Brahic, A.: 1974, in Shakeshaft, J. R. (ed.), ‘The Formation and Dynamics of Galaxies’, IAU Symp. 58, in press.CrossRefGoogle Scholar
Brosche, P.: 1970, Astron. Astrophys. 6, 240.Google Scholar
Cook, A. F., Franklin, F. A., and Palluconi, F. D.: 1973, Icarus 18, 317.CrossRefGoogle Scholar
Jeffreys, H.: 1947, Monthly Notices Roy. Astron. Soc. 107, 260.CrossRefGoogle Scholar
MacCrea, W. H.: 1960, Proc. Roy. Soc. London A256, 245.Google Scholar
Poincaré, H.: 1911, Leçons sur les hypothèses cosmoniques , Hermann, Paris, Chap. 5, p. 86.Google Scholar
Rahman, A.: 1964, Phys. Rev. 136A, 405.CrossRefGoogle Scholar
Sanders, R. H.: 1970, Astrophys. J. 159, 1115.CrossRefGoogle Scholar
Spitzer, L. and Saslaw, W. C.: 1966, Astrophys. J. 143, 400.CrossRefGoogle Scholar
Spitzer, L. and Stone, M. E.: 1967, Astrophys. J. 147, 519.CrossRefGoogle Scholar
Trulsen, J.: 1972a, Astrophys. Space Sci. 17, 241.CrossRefGoogle Scholar
Trulsen, J.: 1972b, Astrophys. Space Sci. 17, 330.CrossRefGoogle Scholar
Trulsen, J.: 1972c, Astrophys. Space Sci. 18, 3.CrossRefGoogle Scholar
Ulam, S. M.: 1968, Bull. Astron. 3, 265.Google Scholar
Urey, H. C.: 1972, Astrophys. Space Sci. 16, 311.CrossRefGoogle Scholar
Verlet, L.: 1967, Phys. Rev. 159, 98.CrossRefGoogle Scholar
Verlet, L.: 1968, Phys. Rev. 165, 201.CrossRefGoogle Scholar