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.

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