Skip to main content
SpringerLink
Log in

Motions in the field of two rotating magnetic dipoles. II. Stability of the equilibrium points

  • Published:
Celestial mechanics Aims and scope Submit manuscript

Abstract

The stability of the equilibrium points found to exist (cf. Goudaset al., 1985, referred to henceforth as Paper I) in the problem of two parallel, or antiparallel, magnetic dipoles that rotate about the centre of mass of their carrier stars, is studied by computing the characteristic roots of their variational equations. The characteristic equation, a biquadratic, solved for many combinations of μ and λ showed that all equilibrium points of this problem are unstable.

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

  • Goudas C. L., Leftaki M., and Petsagourakis E. G. 1985,Celest. Mech. 37, 127.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, University of Patras, Greece

    C. L. Goudas, M. Leftaki & E. G. Petsagourakis

Authors
  1. C. L. Goudas
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. M. Leftaki
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. E. G. Petsagourakis
    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

Goudas, C.L., Leftaki, M. & Petsagourakis, E.G. Motions in the field of two rotating magnetic dipoles. II. Stability of the equilibrium points. Celestial Mechanics 39, 57–65 (1986). https://doi.org/10.1007/BF01232288

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01232288

Keywords

Search

Navigation