Skip to main content
SpringerLink
Log in

The oscillations and the stability of rotating masses with magnetic fields

IV: Existence of the point of bifurcation

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

Abstract

The existence of the point of bifurcation of rotating gaseous masses with toroidal magnetic fields is established from the first variations of the integral properties provided by the second-order virial relations. It is shown that the point of bifurcation, where the Jabcobi ellipsoids branch off from the Maclaurin spheroids, is unaffected by the presence of toroidal magnetic fields.

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

  • Chandrasekhar, S.: 1956,Astrophys. J. 124, 232.

    Google Scholar 

  • Chandrasekhar, S.: 1963,Astrophys. J. 137, 1185.

    Google Scholar 

  • Chandrasekhar, S.: 1969,Ellipsoidal Figures of Equilibrium, Yale University Press, New Haven, Connecticut.

    Google Scholar 

  • Kochlar, R. K. and Trehan, S. K.: 1971,Astrophys. J. 168, 265.

    Google Scholar 

  • Kochlar, R. K. and Trehan, S. K.: 1973,Astrophys. J. 181, 519.

    Google Scholar 

  • Nakagawa, Y. and Trehan, S. K.: 1970,Astrophys. J. 160, 725.

    Google Scholar 

Download references

Author information

Author notes

  1. S. K. Trehan

    Present address: Dept. of Mathematics, Panjab University, Chandigarh, India

Authors and Affiliations

  1. Dept. of Mathematics, Simon Fraser University, Burnaby, B.C., Canada

    S. K. Trehan & Manohar Singh

Authors
  1. S. K. Trehan
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Manohar Singh
    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

Trehan, S.K., Singh, M. The oscillations and the stability of rotating masses with magnetic fields. Astrophys Space Sci 33, 43–48 (1975). https://doi.org/10.1007/BF00646007

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00646007

Keywords

Search

Navigation