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

TL;DR

This paper analytically investigates how spin-orbit and spin-spin interactions in general relativity influence the motion of spinning particles orbiting rotating bodies, without restrictions on orbit shape or spin orientations.

Contribution

It provides a comprehensive analytical calculation of relativistic spin effects on particle trajectories in a weak-field, slow-motion regime, without simplifying assumptions on orbit or spin orientations.

Findings

Derived explicit formulas for spin-induced orbital effects

Showed effects are independent of orbit eccentricity and inclination

Applicable to generic spin orientations and orbit configurations

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)