Hostname: page-component-586b7cd67f-rcrh6 Total loading time: 0 Render date: 2024-11-26T20:31:43.180Z Has data issue: false hasContentIssue false

Numerical Study of a Gravitating System of Colliding Particles; Formation and Dynamics of Discs

Published online by Cambridge University Press:  14 August 2015

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

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

The study of gravitating systems of colliding particles has many potential astrophysical applications, for instance the dynamics of Saturn's ring, the formation of the solar system, the flattening of protogalaxies and the evolution of galactic nuclei. We consider numerically a three-dimensional system of particles moving in the gravitational field of a central mass point and interacting through inelastic collisions. After a very fast flattening, the system forms a disc of finite thickness: this disc spreads slowly, and collisions still occur. A central condensation is formed and there is an outward flux of angular momentum. The energy which is continually lost in the inelastic collisions is obtained at the expense of the bodies which fall inwards.

Type
Part II/Flattened Systems
Copyright
Copyright © Reidel 1975 

References

Aarseth, S. J.: 1973, Vistas in Astronomy 15, 13.Google Scholar
Alder, B. J. and Wainwright, T. E.: 1959, J. Chem. Phys. 31, 459.Google Scholar
Alder, B. J. and Wainwright, T. E.: 1960, J. Chem. Phys. 33, 1439.Google Scholar
Arny, T. and Weissmann, P.: 1973, Astron. J. 78, 309.Google Scholar
Brahic, A.: 1974a, in Shakeshaft, J. R. (ed.), ‘The Formation and Dynamics of Galaxies’, IAU Symp. 58, 173.Google Scholar
Brahic, A.: 1974b, in Kozai, Y. (ed.), ‘The Stability of the Solar System and of Small Systems’, IAU Symp. 62, 83.Google Scholar
Brahic, A.: 1975, in Burns, J. A. (ed.), ‘Planetary Satellites’, IAU Colloq. No. 28; Icarus (in press).Google Scholar
Brosche, P.: 1970, Astron. Astrophys. 6, 240.Google Scholar
Cook, A. F., Franklin, F. A., and Palluconi, F. D.: 1973, Icarus 18, 317.Google Scholar
Jeffreys, H.: 1947, Monthly Notices Roy. Astron. Soc. 107, 263.Google Scholar
Lynden-Bell, D.: 1969, Nature 223, 690.Google Scholar
Lynden-Bell, D. and Rees, M. J.: 1971, Monthly Notices Roy. Astron. Soc. 152, 461.Google Scholar
McCrea, W. H.: 1960, Proc. Roy. Soc. A256, 245.Google Scholar
Poincaré, H.: 1911, Bull. Astron. 28, 251.Google Scholar
Prendergast, K. H. and Burbidge, G. R.: 1968, Astrophys. J. Letters 151, L83.CrossRefGoogle Scholar
Pringle, J. E. and Rees, M. J.: 1972, Astron. Astrophys. 21, 1.Google Scholar
Rahman, A.: 1964, Phys. Rev. 136, 405.Google Scholar
Sanders, R. H.: 1970, Astrophys. J. 162, 791.Google Scholar
Schwartzmann, V. F.: 1971, Soviet Astron. 15, 377.Google Scholar
Spitzer, L. and Saslaw, W. C.: 1966, Astrophys. J. 143, 400.Google Scholar
Spitzer, L. and Stone, M. E.: 1967, Astrophys. J. 147, 519.Google Scholar
Trulsen, J.: 1972a, Astrophys. Space Sci. 17, 241.Google Scholar
Trulsen, J.: 1972b, Astrophys. Space Sci. 18, 3.Google Scholar
Ulam, S. M.: 1968, Bull. Astron. 3ème serie 3, 265.Google Scholar
Urey, H. C.: 1966, Monthly Notices Roy. Astron. Soc. 131, 199.Google Scholar
Verlet, L.: 1967, Phys. Rev. 159, 98.Google Scholar
Verlet, L.: 1968, Phys. Rev. 165, 201.Google Scholar
Woolfson, M. M.: 1964, Proc. Roy. Soc. A282, 485.Google Scholar