Frequency Evolution of the Gravitational Waves for Compact Binaries

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.