Communications of the
Korean Mathematical Society
CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024

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Commun. Korean Math. Soc. 2023; 38(2): 589-598

Online first article April 7, 2023      Printed April 30, 2023

https://doi.org/10.4134/CKMS.c220114

Copyright © The Korean Mathematical Society.

Associated curves of charged particle moving with the effect of magnetic field

Muhammed Talat Sariaydin, Aziz Yazla

Selcuk University; Selcuk University

Abstract

Magnetic curves are the trajectories of charged particals \linebreak which are influenced by magnetic fields and they satisfy the Lorentz equation. It is important to find relationships between magnetic curves and other special curves. This paper is a study of magnetic curves and this kind of relationships. We give the relationship between $\beta $-magnetic curves and Mannheim, Bertrand, involute-evolute curves and we give some geometric properties about them. Then, we study this subject for $\gamma $-magnetic curves. Finally, we give an evaluation of what we did.

Keywords: Magnetic trajectory, Lorentz equation, killing vector fields, charged particle

MSC numbers: 53A04

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