Closed-form expressions for the worldlines of spinning particles in plane gravitational wave backgrounds are obtained as single integrals over retarded time by exploiting six conserved quantities from translational Killing symmetries.
Gravitational spin-orbit coupling in binary systems, post-Minkowskian approximation and effective one-body theory.Phys
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Analytic Solution for the Motion of Spinning Particles in Plane Gravitational Wave Spacetime
Closed-form expressions for the worldlines of spinning particles in plane gravitational wave backgrounds are obtained as single integrals over retarded time by exploiting six conserved quantities from translational Killing symmetries.