Investigation of the trajectories of a magnetized particle in the equatorial plane of a magnetic dipole

The movement of a magnetized particle in the equatorial plane of a magnetic dipole is investigated. Analysis and classification of trajectory types for such particles are made. It is shown that eight different trajectory types are possible, which depend on the particle’s energy and on the orientation of its magnetic dipole moment. This permits the use of an axial magnetic field to move a magnetized particle in any point of the magnetic equatorial plane.