  In this paper, we study classification of magnetic curves corresponding to
Killing vector fields of H^3 (hyperbolic 3-space). First, we solve the geodesic
equation analytically. Then we calculate the trajectories generated by all the
six Killing vector fields, which are considered as magnetic field vectors, by
using perturbation method up to first order with respect to the strength of the
magnetic field. We present a comparison of our solution with the numerical
solution for one case. We also prove that 3-dimensional ({\alpha})-Kenmotsu
manifolds cannot have any magnetic vector field in the direction of their Reeb
vector fields.
