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Approximate Solutions of the Equations of Motion of a Charged Particle in the Field of a Magnetic Dipole
Author(s) -
Kustaanheimo P. E.,
Tutein J.
Publication year - 1983
Publication title -
astronomische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.394
H-Index - 63
eISSN - 1521-3994
pISSN - 0004-6337
DOI - 10.1002/asna.2113040305
Subject(s) - physics , magnetic dipole , magnetic field , bent molecular geometry , magnetosphere particle motion , classical mechanics , dipole , differential equation , charged particle , trajectory , point particle , equations of motion , electromagnetic field , cosmic ray , quantum electrodynamics , astrophysics , quantum mechanics , ion , chemistry , organic chemistry
Abstract Three differential equations of the first order (26)—(28) which determine the trajectory are deduced. An approximate integration by means of elementary functions yields a set of formulas (in chapt. 13. Conclusions) that give a „window” in the sky inside of which the radiation point of a high energy cosmic ray (monotonely bent in the magnetic field) must lie.