Strong spin-gravity coupling in the linear approximation for circular orbits in Schwarzschild’s field

In the context of current research of the properties of gravitational interaction for bodies and particles moving at very high velocities, we consider possible motions of ultrarelativistic spinning particles relative to Schwarzschild’s mass. The focus is on nonequatorial circular orbits of such particles. The corresponding solutions of the Mathisson-Papapetrou in the linear spin approximation are investigated. Direct analytical calculations determined necessary and sufficient conditions under which such solutions are admissible. The spin-gravity force which from the point of view of the comoving observer ensures existence of the ultrarelativistic nonequatorial circular orbits in Schwarzschild’s field is analyzed. The corresponding illustrations are presented.