The allowed regions in the problem concerning dynamics of a charged particle in a superposition of dipole and uniform magnetic fields
DOI:
https://doi.org/10.21638/11701/spbu01.2016.213Abstract
The motion of charged particles in the Earth’s magnetic field has been of interest to mathematicians and physicists in connection with the study of the polar aurora and cosmic rays. In 1907 norwegian mathematician Stormer gave the mathematical formulation of this problem. It became the problem of great importance with the discovery of the Van Allen radiation. As is known that the magnetic field of the Earth can be considered approximately as a superposition of dipole and uniform magnetic fields, and the dipole’s magnetic moment is either parallel or antiparallel to the induction of the uniform field. Thus, the problem concerning the dynamics of the charged particle in the magnetic field of the Earth is reduced to that of the dynamics of the charged particle in the composed field. The paper is devoted to the construction and investigation of the allowed regions in the problem of dynamics of charged particles in a superposition of dipole and uniform magnetic fields for positive values of Stormer’s constant γ and the same orientation of magnetic moment and uniform field. Refs 4. Figs 1.Downloads
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References
Литература
1. Шалимов В.П., Швачунов И.Н. Изучение движения заряженных частиц в поле магнитного диполя, находящегося во внешнем магнитном поле, методом Штермера. I // Космические исследования. 1966. Т. IV. Вып. 2. C. 208-220.
2. Katsiaris G.A., Psil lakis Z.M. Allowed regions for the motion of charged particles in superposed dipole and uniform magnetic fields // Astrophysics and Space Science. 1986. Vol. 126. P. 69-87.
3. Колесников Е.К., Филиппов Б.В. Некоторые задачи эволюции заряженных частиц в поле магнитного диполя. Изд. ЛГУ, 1974. 72 с.
4. Lemaire J.F. The effect of a southward interplanetary magnetic field on Stormer's allowed regions // Adv. Space Res. 2003. Vol. 31, N 5. P. 1131-1153.
References
1. Shalimov V.P., Shvachunov I.N., “Research of the charged particles movement in the field of a magnetic dipole, being in an extern magnetic field, by Shtormer’s method. I”, J. Cosmic Res. Series 2 IV, 208–220 (1966) [in Russian].
2. Katsiaris G.A., Psillakis Z.M., “Allowed regions for the motion of charged particles in superposed dipole and uniform magnetic fields”, Astrophysics and Space Science 126, 69–87 (1986).
3. Kolesnicov E. K., Filippov B.V., Some problems of charged particles evolution in the field of a magnetic dipole (LGU, 1974, 72 p.) [in Russian].
4. Lemaire J.F. “The effect of a southward interplanetary magnetic field on Stormer’s allowerd regions Adv. Space Res. 31(5), 1131–1153 (2003).
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Published
2020-10-19
How to Cite
Kolesnikov, E. K., & Klushnikov, G. N. (2020). The allowed regions in the problem concerning dynamics of a charged particle in a superposition of dipole and uniform magnetic fields. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 3(2), 1. https://doi.org/10.21638/11701/spbu01.2016.213
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Mechanics
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Articles of "Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy" are open access distributed under the terms of the License Agreement with Saint Petersburg State University, which permits to the authors unrestricted distribution and self-archiving free of charge.