Magnetic motion of spherical frictional charged particles on the unit sphere

Abstract

Mathematically, the unit sphere S-2 is described in an ordinary space with positive curvature. In this study, we aim to present the manipulation of a spherical charged particle in a continuous motion with a magnetic field on the sphere S-2 while it is exposed to a frictional force. In other words, we effort to derive the exact geometric characterization for the spherical charged particle under the influence of a frictional force field on the unit 2-sphere. This approach also helps to discover some physical and kinematical characterizations belonging to the particle such as the magnetic motion, the torque, the potential energy functional, and the Poynting vector.