Magnetic trajectories on oriented surfaces
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DOI:
https://doi.org/10.26637/MJM0801/0045Abstract
We study magnetic trajectories of a magnetic field on an oriented surface $S$ in three-dimensional Euclidean space. Defining the Lorentz force of a magnetic field on $S$, we give the Lorentz force equation for the associated magnetic trajectories. We have derived the Killing magnetic flow equations with regard to the geodesic curvature, geodesic torsion and normal curvature of the curve $\gamma$ on $S$. Finally we examine magnetic trajectories on some familiar surfaces in three-dimensional Eucliedan space.
Keywords:
Magnetic curve, Lorentz force equation, geodesic curvatureMathematics Subject Classification:
Mathematics- Pages: 272-276
- Date Published: 01-01-2020
- Vol. 8 No. 01 (2020): Malaya Journal of Matematik (MJM)
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