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.
Similar content being viewed by others
References
DeVogelaere, R.: 1950,Can. J. Math. 2, 440.
Hénon, M.: 1965,Ann. Astrophys. 28, 992.
Klimopoulos, S.: 1976, Doctorate dissertation, University of Patras.
Markellos, V. V.: 1976,Astrophys. Space Sci. 43, 449.
Markellos, V. V. and Halioulias, A. A.: 1977,Astrophys. Space Sci. 46, 183.
Markellos, V. V., Klimopoulos, S., and Halioulias, A. A.: 1977,Cel. Mech., in press.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Markellos, V.V., Klimopoulos, S. A new family of periodic oscillations in the Störmer problem: The principal asymmetric. Astrophys Space Sci 48, 471–482 (1977). https://doi.org/10.1007/BF00648131
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00648131