Springer Nature is making SARS-CoV-2 and COVID-19 research free. View research | View latest news | Sign up for updates

N-body simulation of two-dimensional stationary stellar distributions: Dissipation of energy and development of the field of velocity

  • 33 Accesses

  • 1 Citations


The procedure for the simulation of two-dimensionalN-body configurations described in this paper has been devised to investigate the dissipation of energy and the development of velocity in given sub-regions of stellar systems, especially in the central region of a galaxy. In these simulations massive particles are injected into the given spatial region at a pre-determined constant time rate and at a given distribution of velocity vectors. The mass points are allowed to interact gravitationally and special attention is given to the influence of near-by encounters. After a certain period of time a stationary (equilibrium) situation settles down with a certain distribution of mass points in position and velocity space. Preliminary results obtained so far demonstrate the reliability of this procedure forN-body simulation and for the investigation of the dissipation of energy and of the development of velocity fields. Forthcoming results are hoped to deliver information on the role of three-body encounters in the processes of randomization at work in self-consistent stellar configurations.

This is a preview of subscription content, log in to check access.


  1. Brigham, E. O.: 1974,The Fast Fourier Transform, pp. 148 and 198.

  2. Hohl, F.: 1970,Dynamical Evolution of Disk Galaxy, NASA Tr R-343.

  3. Hohl, F. and Hockney, R. W.: 1969,J. Computational Phys. 4, 306.

  4. Liu Bulin: 1984,Chin. Astron. Astrophys. 8, 310.

  5. Miller, R. H.: 1976,J. Computational Phys. 21, 400–437.

  6. Thielheim, K. O. and Wolff, H.: 1984,Astrophys. J. 276, 135.

  7. Thielheim, K. O. and Wolff, H.: 1985, in H. van Woerden, R. J. Allen, and W. B. Burton (eds.), ‘The Milky Way Galaxy’,IAU Symp. 106, 539.

Download references

Author information

Additional information

J. Polcher and W. Wanner also of the Mathematical Physics Group of the IFK took part in many of the discussions concerning the development of this programme.

Rights and permissions

Reprints and Permissions

About this article

Cite this article

Thielheim, K.O., Bulin, L. N-body simulation of two-dimensional stationary stellar distributions: Dissipation of energy and development of the field of velocity. Astrophys Space Sci 181, 43–53 (1991).

Download citation


  • Constant Time
  • Central Region
  • Velocity Field
  • Velocity Vector
  • Massive Particle