  Beyond point mass effects various contributions add to the radiative
evolution of compact binaries. We present all the terms up to the second
post-Newtonian order contributing to the rate of increase of gravitational wave
frequency and the number of gravitational wave cycles left until the final
coalescence for binary systems with spin, mass quadrupole and magnetic dipole
moments, moving on circular orbit. We evaluate these contributions for some
famous or typical compact binaries and show that the terms representing the
self interaction of individual spins, given for the first time here, are
commensurable with the proper spin-spin contributions for the recently
discovered double pulsar J0737-3039.
