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A quasi-Keplerian parameterisation for the solutions of second post-Newtonian(PN) accurate equations of motion for spinning compact binaries is obtainedincluding leading order spin-spin and next-to-leading order spin-orbitinteractions. Rotational deformation of the compact objects is incorporated.For arbitrary mass ratios the spin orientations are taken to be parallel oranti-parallel to the orbital angular momentum vector. The emitted gravitationalwave forms are given in analytic form up to 2PN point particle, 1.5PN spinorbit and 1PN spin-spin contributions, where the spins are counted of 0PNorder.

classical and quantum gravity

Motion and gravitational wave forms of eccentric compact binaries with  orbital-angular-momentum-aligned spins under next-to-leading order in  spin-orbit and leading order in spin(1)-spin(2) and spin-squared couplings