Abstract
The author's purpose is to present in this article the evidence of his intuition on the periodic behavior of a charged particle, moving in a magnetic dipole field, that is achieved by adopting the Alfvén's analysis of the motion into the composite of two motions and studying the contribution of these motions into the general behavior of the charged particle, separately.
Similar content being viewed by others
References
Alfvén, H. and Fälthammar, C.: 1963,Cosmical Electrodynamics, Clarendon Press, Oxford, pp. 18–70.
De Vogelaere, R.: 1949,Proc. Sec. Math. Congress Vancouver, pp. 170–171.
De Vogelaere, R.: 1950,Can. J. Math. 2, 440.
De Vogelaere, R.: 1958, inContributions to the Theory of Non-Linear Oscillations, Vol. IV, pp. 53–84.
Dragt, A.: 1965,Rev. Geophys. 3, 255.
Graef, C.: 1944,Bol. Soc. Matem. Mexicana,1, 1–31.
Graef, C. and Kusaka, S.: 1938,J. Math. Phys. 17, 43.
Markellos, V. and Klimopoulos, S.: 1976,Astrophys. Space Sci. 48, 471.
Mavraganis, A. and Goudas, C.: 1975,Astrophys. Space Sci. 32, 115.
Mavraganis, A.: 1975,Astrophys. Space Sci. 39, 395.
Ray, E.: 1960,J. Geophys. Res. 65, 1125.
Stern, D.: 1967,Planet Space Sci. 15, 1525.
Szebehely, V.: 1967,Theory of Orbits, Academic Press, New York.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Mavraganis, A.G. The periodicity of a charged particle motion in a magnetic dipole field. Astrophys Space Sci 76, 159–166 (1981). https://doi.org/10.1007/BF00651252
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00651252