Effective potential energy in St\ormer's problem for an inclined rotating magnetic dipole

Abstract

We discuss the dynamics of a charged nonrelativistic particle in electromagnetic field of a rotating magnetized celestial body. The equations of motion of the particle are obtained and some particular solutions are found. Effective potential energy is defined on the base of the first constant of motion. Regions accessible and inaccessible for a charged particle motion are studied and depicted for different values of a constant of motion.Comment: Accepted for publication in Astrophysics and Space Scienc