Astrophysics and Space Science

, Volume 48, Issue 2, pp 471–482 | Cite as

A new family of periodic oscillations in the Störmer problem: The principal asymmetric

  • V. V. Markellos
  • S. Klimopoulos


A complete family of asymmetric periodic oscillations of a charged particle in the meridian plane of a magnetic dipole is presented. It begins at a bifurcation with the principal family of symmetric periodic oscillations and terminates in a flat equatorial oscillation. It consists of many stable and unstable segments.


Charged Particle Periodic Oscillation Magnetic Dipole Meridian Plane Complete Family 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. DeVogelaere, R.: 1950,Can. J. Math. 2, 440.Google Scholar
  2. Hénon, M.: 1965,Ann. Astrophys. 28, 992.Google Scholar
  3. Klimopoulos, S.: 1976, Doctorate dissertation, University of Patras.Google Scholar
  4. Markellos, V. V.: 1976,Astrophys. Space Sci. 43, 449.Google Scholar
  5. Markellos, V. V. and Halioulias, A. A.: 1977,Astrophys. Space Sci. 46, 183.Google Scholar
  6. Markellos, V. V., Klimopoulos, S., and Halioulias, A. A.: 1977,Cel. Mech., in press.Google Scholar

Copyright information

© D. Reidel Publishing Company 1977

Authors and Affiliations

  • V. V. Markellos
    • 1
  • S. Klimopoulos
    • 2
  1. 1.Dept. of AstronomyUniversity of GlasgowScotland
  2. 2.Dept. of MechanicsUniversity of PatrasGreece

Personalised recommendations