We study the motion of a charged particle in the Gutsunaev–Manko spacetime, which is an exact solution of the Einstein–Maxwell equations for a massive magnetic dipole. The problem is reduced to the motion in the two-dimensional effective potential. We find the circular orbits corresponding to potential stationary points not only within the equatorial plane but also under and above it. We show that the motion in the Gutsunaev–Manko spacetime retains such a property of the classical Størmer problem as the transition from periodic to quasi-periodic and chaotic trajectories. Furthermore, for certain parameter values, the Gutsunaev–Manko spacetime allows for the existence of families of periodic trajectories same as in the classical problem. However, for alternative parameter settings, the families of periodic orbits deviate noticeably from the classical ones
Tegai et al. (Fri,) studied this question.