Resumen de Magnetic motion of spherical frictional charged particles on the unit sphere

T. Körpınar, Ridvan Cem Demirkol

• 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.