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Two spinning compact objects in a binary system where the orbital angular momentum is much greater than the spin angular momenta are considered. The amplitude and frequency of the spin nutation of body 2 (and body 1 by interchanging indices) owing to general relativistic and quadrupole effects are given. The spin nutation frequency of either body is found to equal the difference in the two spin precession frequencies.
Barker et al. (Mon,) studied this question.