  We present here a complete list of contributions to the gravitational wave
frequency evolution from compact binaries on circular orbits up to the second
post-Newtonian order by including the interaction of magnetic dipole moments,
quadrupole-monopole interactions together with the spin-orbit, the spin-spin
and the self-interaction spin contributions. We apply our results to the
Manchester et al. model of the J0737-3039A-B double pulsar.
