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In this work, we examine the impact of magnetic fields on the moving particle trajectories by variational approach to the magnetic flow associated with the Killing magnetic field on 2−dimensional lightlike cone Q ⊂ E 1 . We give some characterizations for x−magnetic curve and x−magnetic surface of rotation using the Killing magnetic field of this curve in Q and we give the different types of axes of rotation, then creates three different types of magnetic surfaces of rotation in 2−dimensional lightlike cone Q ⊂ E 1 .

On x-magnetic Surfaces Generated by Trajectory of x-magnetic Curves in Null Cone