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On the totality of periodic motions in the meridian plane of a magnetic dipole

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Abstract

The structure of the periodic solutions of the Störmer problem, representing the magnetic field of the Earth, is examined by considering the equatorial oscillations of the charged particle and their ‘vertical’ bifurcations with meridian periodic oscillations. An infinity of new families of simple-periodic oscillations are found to exist in the vicinity of the ‘thalweg’ and four such new families are actually established by numerical integration.

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Authors and Affiliations

  1. Dept. of Astronomy, University of Glasgow, Scotland

    V. V. Markellos

  2. Dept. of Geodesy, Technical University of Athens, Greece

    A. A. Halioulias

Authors
  1. V. V. Markellos
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  2. A. A. Halioulias
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Markellos, V.V., Halioulias, A.A. On the totality of periodic motions in the meridian plane of a magnetic dipole. Astrophys Space Sci 51, 177–186 (1977). https://doi.org/10.1007/BF00642468

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  • DOI: https://doi.org/10.1007/BF00642468

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