Stable orbital motion of magnetic dipole in the field of permanent magnets

In this paper we aim to give a constructive proof of the existence of stable orbital motions of the bodies in the systems which interact only via magnetic forces. To demonstrate this, we give an example of a magnetic system for which we analytically prove Gμ-stability. We study the dynamics of a small magnetic body, a magnetic dipole, that performs the quasi-orbital motion in the field of two fixed magnetic poles of opposite signs placed at the system's axis. We use the generalized energy-momentum method to find the conditions of stability of relative equilibria. We also give the realizable physical parameters of the system.