Abstract
Application of boundary value techniques in the case of an electron performing relativistic motions within a magnetic dipole such as that of the Earth supplemented by a scanning process by means of which the entire phase space of the problem can be investigated, six new types of periodic motion have been discovered and computed. The stability of these motions is investigated and their direct bearing on formation and shape of the Van Allen zones of the Earth is discussed.
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Mavraganis, A., Goudas, C.L. New types of motion in Störmer's problem. Astrophys Space Sci 32, 115–138 (1975). https://doi.org/10.1007/BF00646220
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DOI: https://doi.org/10.1007/BF00646220