INFLUENCE OF SPIN-SPIN COUPLING ON INSPIRALING COMPACT BINARIES WITH M(1)=M(2) AND S-1=S-2

Searching for gravitational waves with laser-interferometer detectors requires a highly accurate knowledge of the gravitational wave forms i n order to construct search templates with which to cross correlate th e noisy detectors' output. In this spirit, we derive here an analytic approximate formula describing the precession of an inspiraling compac t binary with equal masses and equal spins, where both the spin-orbit and the spin-spin couplings are taken into account.