Motion of charged particles in the equatorial plane of a magnetic dipole field. (English) Zbl 1318.78002

Vassilev, Vassil M.; Hadzhilazova, Mariana Ts; Djondjorov, Peter A.; Mladenov, Ivaïlo M.

Mladenov, Ivaïlo M. (ed.) et al., Proceedings of the 15th international conference on geometry, integrability and quantization, Sts. Constantine and Elena (near Varna), Bulgaria, June 7–12, 2013. Sofia: Avangard Prima. 283-291 (2014).

Summary: 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.
For the entire collection see [Zbl 1291.00068].

MSC:

78A35	Motion of charged particles
33E05	Elliptic functions and integrals

Keywords:

Newton-Lorentz equations; motion of charged particles; Jacobi elliptic functions; elliptic integrals