Dynamics of Plane Stellar Systems

  • Frank Hohl
Conference paper
Part of the Astrophysics and Space Science Library book series (ASSL, volume 31)


The evolution of initially balanced rotating disks of stars is investigated with a computer model for isolated disks of stars. An isolated, initially cold balanced disk is found to be violently unstable. Adding a sufficient amount of velocity dispersion will stabilize all small-scale disturbances. However, the disks are still unstable against slowly growing long wave-length modes and after about two rotations most disks tend to assume a bar-shaped structure. It is found that the final mass distribution over most of the disk can be closely approximated by an exponential variation, irrespective of the initial mass distribution. The gravitational two-stream instability is investigated by means of a modified computer model for infinite doubly periodic stellar systems.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. Chandrasekhar, S.: 1960, Principles of Stellar Dynamics, Dover Publ., Inc., New York.Google Scholar
  2. Cuperman, S., Goldstein, S., and Lecar, M.: 1969, Monthly Notices Roy. Astron. Soc. 146, 161.ADSGoogle Scholar
  3. Freeman, K. C.: 1970, Astrophys. J. 160, 811.ADSCrossRefGoogle Scholar
  4. Hénon, M.: 1964, Ann. Astrophys. 27, 83.ADSGoogle Scholar
  5. Hockney, R. W.: 1967, Astrophys. J. 150, 797.ADSCrossRefGoogle Scholar
  6. Hockney, R. W. and Hohl, F.: 1969, Astron. J. 74, 1102.ADSCrossRefGoogle Scholar
  7. Hohl, F.: 1968a, NASA TR R-289.Google Scholar
  8. Hohl, F.: 1968b, Bull. Astron. 3, 227.Google Scholar
  9. Hohl, F.: 1969, NASA TN D-5200.Google Scholar
  10. Hohl, F.: 1970a, in W. Becker and G. Contopoulos (eds.), ‘The Spiral Structure of our Galaxy’, IAU Symp. 38, 368.Google Scholar
  11. Hohl, F.: 1970b, NASA TR R-343.Google Scholar
  12. Hohl, F. and Campbell, J. W.: 1968, Astron. J. 73, 611.ADSCrossRefGoogle Scholar
  13. Hohl, F. and Campbell, J. W.: 1969, NASA TN D-5540.Google Scholar
  14. Hohl, F. and Feix, M. R.: 1967, Astrophys. J. 147, 1164.ADSCrossRefGoogle Scholar
  15. Hohl, F. and Hockney, R. W.: 1969, J. Comput. Phys. 4, 306.ADSCrossRefGoogle Scholar
  16. Lecar, M.: 1966, in G. Contopoulos (ed.), ‘The Theory of Orbits in the Solar System and in Stellar Systems’, IAU Symp. 25, 46.Google Scholar
  17. Miller, R. H. and Prendergast, K. H.: 1968, Astrophys. J. 151, 699.ADSCrossRefGoogle Scholar
  18. Miller, R. H., Prendergast, K. H., and Quirk, W. J.: 1970, `Numerical Experiments on Spiral Structure’, to be published.Google Scholar
  19. Toomre, A.: 1963, Astrophys. J. 138, 385.MathSciNetADSzbMATHCrossRefGoogle Scholar
  20. Toomre, A.: 1964, Astrophys. J. 139, 1217.ADSCrossRefGoogle Scholar

Copyright information

© D. Reidel Publishing Company, Dordrecht, Holland 1972

Authors and Affiliations

  • Frank Hohl
    • 1
  1. 1.Langley Research CenterNASAHamptonUSA

Personalised recommendations