Skip to main content
Log in

Numerical experiments on the effect of massive central systems on the virial binding energy of clusters

  • Published:
Astrophysics and Space Science Aims and scope Submit manuscript

Abstract

A program has been developed to evaluated the gravitational binding energy of a clumpy cluster composed ofN particles with a given mass dispersion, a given abundance of binaries and a given massive binary system at the centre. In application to clusters of galaxies nucleated by massivecD binaries, it is found that the gravitational binding energy is typically greater than the equivalent smooth distribution by a factor in the range 2–12. This suggests that the ‘missing’ mass problem in clusters of galaxies can be reduced by an order of magnitude if the correct binding energy is used in the virial theorem.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Aarseth, S. J.: 1963,Monthly Notices Roy. Astron. Soc. 126, 223–255.

    Google Scholar 

  • Aarseth, S. J.: 1966,Monthly Notices Roy. Astron. Soc. 132, 35–65.

    Google Scholar 

  • Aarseth, S. J.: 1974,Astron. Astrophys. 35, 227–250.

    Google Scholar 

  • Aarseth, S. J. and Hills, J. S.: 1972,Astron. Astrophys. 21, 255–263.

    Google Scholar 

  • Brandt, S. and Schneider, H.: 1975,Computer Phys. Comm. 9, 205–220.

    Google Scholar 

  • Chincarini, G. and Rood, H. J.: 1975,Nature 257, 294–295.

    Google Scholar 

  • Fall, S. M.: 1976,Monthly Notices Roy. Astron. Soc. 176, 181–191.

    Google Scholar 

  • Henriksen, R. N. and Wesson, P. S.: 1976, Queen's University, preprint.

  • Kahn, F. D. and Woltjer, L.: 1959,Astrophys. J. 130, 705–717.

    Google Scholar 

  • Rood, H. J. and Sastry, G. N.: 1971,Publ. Astron. Soc. Pacific 83, 713–719.

    Google Scholar 

  • Rood, H. J., Page, T. L., Kintner, E. C., and King, I. R.: 1972,Astrophys. J. 175, 627–647.

    Google Scholar 

  • Tifft, W. G. and Gregory, S. A.: 1976,Astrophys. J. 205, 696–708.

    Google Scholar 

  • Van Albada, T. S.: 1968a,Bull. Astron. Inst. Neth. 19, 479–490.

    Google Scholar 

  • Van Albada, T. S.: 1968b,Bull. Astron. Inst. Neth. 20, 57–68.

    Google Scholar 

  • Van den Bergh, D. S.: 1976, Toronto University, preprint.

  • Von Hoerner, S.: 1960,Z. Astrophys. 50, 184–214.

    Google Scholar 

  • Von Hoerner, S.: 1963,Z. Astrophys. 57, 47–82.

    Google Scholar 

  • Wesson, P. S. and Lermann, A.: 1977,Astrophys. Space Sci. 46, 335–339.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Wesson, P.S., Lermann, A. & Goodson, R.E. Numerical experiments on the effect of massive central systems on the virial binding energy of clusters. Astrophys Space Sci 48, 357–363 (1977). https://doi.org/10.1007/BF00648122

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00648122

Keywords

Navigation