On the spherical magnetic trajectories

Tunahan Turhan; Gozde Ozkan Tukel

doi:10.26637/mjm0902/003

Abstract

We consider spherical indicatrix magnetic trajectories of a magnetic field in Euclidean 3−space. From classical formulation of Killing magnetic flow equations, we derive the differential equation systems for tangent spherical indicatrix magnetic trajectories in Euclidean 3−space. Then we solve these equations by using Jacobi elliptic functions. Finally, we make similar calculations for curves whose principal normal and binormal spherical indicatrix are magnetic curves.

Keywords:

Magnetic curve, spherical indicatrix, Killing magnetic flow

Mathematics Subject Classification:

53A04, 53A05

Authors Imprint References Funding Related Articles Downloads

Tunahan Turhan Faculty of Education, Division of Elementary Mathematics Education, Süleyman Demirel University, Isparta, Turkey.
Gozde Ozkan Tukel Faculty of Technology, Department of Engineering Basic Sciences, Isparta University of Applied Sciences, Isparta, Turkey.

Pages: 20-27
Date Published: 01-04-2021
Vol. 9 No. 02 (2021): Malaya Journal of Matematik (MJM)

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