Open Access
VOL. 15 | 2014 Motion of Particles in the Equatorial Plane of a Magnetic Dipole Field
Chapter Author(s) Vassil Vassilev, Mariana Hadzhilazova, Peter Djondjorov, Ivaïlo Mladenov
Editor(s) Ivaïlo M. Mladenov, Andrei Ludu, Akira Yoshioka
Geom. Integrability & Quantization, 2014: 283-291 (2014) DOI: 10.7546/giq-15-2014-283-291

Abstract

Newton-Lorentz equations describing the motion of charged particles in the equatorial plane of a magnetic dipole field are considered. The parametric equations of the trajectories of the particles are obtained explicitly in terms of Jacobi elliptic functions and elliptic integrals.

Information

Published: 1 January 2014
First available in Project Euclid: 13 July 2015

zbMATH: 1318.78002
MathSciNet: MR3287764

Digital Object Identifier: 10.7546/giq-15-2014-283-291

Rights: Copyright © 2014 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences

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