Skip to main content
SpringerLink
Log in

Marginal mode and stability of one-dimensional stellar systems

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

Abstract

We consider self-gravitating one-dimensional stellar systems governed by the coupled equations of Vlasov and Poisson. Using Bartholomew formalism we first make completely explicit the marginal mode which is a displacement mode of the system, and then we use it to show the stability of one-dimensional systems when their distribution functionF depending on the energy ε satisfies the sufficient condition of stability dF/dε<0.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  • Bartholomew, P.: 1971,Monthly Notices Roy. Astron. Soc. 151, 333.

    Google Scholar 

  • Bloomberg, H. W. and Berk, H. L.: 1973,J. Plasma Phys. 9, 235.

    Google Scholar 

  • Feix, M. R., Doremus, P., and Baumann, G.: 1971,Astrophys Space Sci. 13, 478.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Vandoeuvre-les-Nancy, France

    D. Gillon

Authors
  1. D. Gillon
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Gillon, D. Marginal mode and stability of one-dimensional stellar systems. Astrophys Space Sci 77, 111–119 (1981). https://doi.org/10.1007/BF00648760

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00648760

Keywords

Search

Navigation