Recursion operator for hybrid magnetic curves

The magnetic curves on a Spherical space are trajectories of charged particles moving on M under the action of a magnetic field F. This paper aims at studying some properties for these curves which corresponding to the Killing magnetic fields in the 3-dimensional Euclidean space. We investigate the trajectories of the magnetic fields called T-magnetic and e-magnetic curves, also we give some characterizations of these curves and recursion operator. Additionally, quasi-magnetic curves are shown in space and we calculate their energies by finding the recursion operator sof these curves