2020/02/26 by Fancong Zeng, Zeng, Fancong, К. Кабин +7
Computer Science · Engineering · Physics and Astronomy · #Characterization and Applications of Magnetic Nanoparticles #Computational Physics (physics.comp-ph) #Computational Physics and Python Applications #Experimental and Theoretical Physics Studies #FOS: Physical sciences #physics.comp-ph
paper · pdf · doi:10.48550/arxiv.2002.11291
8 pages, 10 figures
openalex publication_date 2020/02/26 · arxiv created 2021/04/10 · arxiv updated 2021/04/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper we discuss epicycloid approximation of the trajectories of charged particles in axisymmetric magnetic fields. Epicycloid trajectories are natural in the Guiding Center approximation and we study in detail the errors arising in this approach. We also discuss how using exact results for particle motion in the equatorial plane of a magnetic dipole the accuracy of this approximation can be significantly extended. We also show that the epicycloids approximate the trajectory of a charged particle more accurately than the position of the particle along the trajectory.