Charged particle dynamics in the combined field of two rotating magnetic dipoles: A numerical investigation of the parametric effect on the equatorial motions

Abstract

In this contribution we study some aspects of the dynamics of a charged particle in the field produced by two magnetic dipoles that rotate in circular orbits around their common center of mass under their mutual Newtonian attraction. More precisely, we numerically investigate the evolution of the regions of the particle motion on the equatorial plane of each dipole and we explore their parametric variation. We focus our investigation on those problem parameters that are related with the magnetic fields and the masses of the primaries. The obtained preliminary results show that for each particular set of the above parameters and for certain values of energy these regions are bounded, and therefore the motion of the particle is confined inside them.