Approximate Solutions of the Equations of Motion of a Charged Particle in the Field of a Magnetic Dipole | Zendy

Kustaanheimo P. E. | Zendy; Tutein J. | Zendy

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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

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.

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