Jun 13 – 19, 2015
University of Alberta
America/Edmonton timezone
Welcome to the 2015 CAP Congress! / Bienvenue au congrès de l'ACP 2015!

Examples of exact solutions of charged particle motion in magnetic fields and their applications.

Jun 15, 2015, 1:45 PM
CAB 243 (University of Alberta)

CAB 243

University of Alberta

Invited Speaker / Conférencier invité Atmospheric and Space Physics / Physique atmosphérique et de l'espace (DASP-DPAE) M1-3 Theory, modelling and space weather I (DASP) / Théorie, modélisation et climat spatial I (DPAE)


Konstantin Kabin (RMC)


There are very few exact solutions for the motion of a charged particle in specified magnetic field. These solutions have considerable theoretical as well as pedagogical value. In this talk I will briefly describe several known analytical solutions, such as motion in the equatorial plane of a dipole and in a constant gradient field. Particular attention will be given to a relatively unknown solution corresponding to magnetic field inversely proportional to the radius. This case leads to relatively simple expressions involving only elementary functions. I will discuss applications of this solution to validation of numerical methods of particle tracing, such as symplectic integration. Another interesting use of this solution is comparison with the adiabatic drift theory. Finally, this solution can be used as a building block for developing new numerical integration schemes for particle tracing.

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