Spin nutation in binary systems due to general relativistic and quadrupole effects

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.