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

@article{Iorio2010GeneralRS,
title={General relativistic spin-orbit and spin–spin effects on the motion of rotating particles in an external gravitational field},
author={Lorenzo Iorio},
journal={General Relativity and Gravitation},
year={2010},
volume={44},
pages={719-736}
}
• L. Iorio
• Published 27 December 2010
• Physics, Geology
• General Relativity and Gravitation
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 leading-order interactions. Concerning the spin-orbit term, we compute the long-term variations due to the particle’s spin by finding secular precessions for the inclination I of the particle’s orbit, its longitude of the ascending node Ω and the longitude of pericenter $${\varpi}$$ . Moreover…
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