General relativistic spin-orbit and spin-spin effects on the motion of rotating particles in an external gravitational field

Abstract

We analytically compute the orbital effects induced on the motion of a spinning particle geodesically traveling around a central rotating body by the general relativistic two-body spin-spin and spin-orbit interactions. We use the weak-field and slow-motion leading-order approximation. Neither assumptions on the eccentricity nor the inclination of the orbit of the particle have been assumed. No specific orientations of the spins involved have been chosen. (Abridged)

LaTex2e, 24 pages, no figures, no tables. Minor changes. Version matching the one at press in General Relativity and Gravitation (GRG)