Abstract
By thinking the magnetic flow connected by the Killing magnetic field, the magnetic field on the setting out particle orbit is investigated in 𝐐2 ⊂ 𝐸31 . Clearly, dealing with the Killing magnetic field of 𝛼 -magnetic curve, the rotational surface generated by 𝛼 -magnetic is expressed in 𝐐2 ⊂ 𝐸31, and the variant kinds of axes of rotation in lightlike cone 𝐐2 ⊂ E31 is given. Furthermore, the specific kinetic energy, specific angular momentum and conditions being geodesic on rotational surface generated by α-magnetic curve are expressed with the help of Clairaut's theorem.
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