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
Article

Abstract

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.

Keywords

Charged Particle Periodic Oscillation Magnetic Dipole Meridian Plane Complete Family 

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References

  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

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