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Gravitational waves emitted by inspiralling compact binaries János Majár HAS KFKI Research Institute for Particle and Nuclear Physics Budapest, Hungary 21 -26 May, 2006 Cascina, Italy Projectors and polarization states The projectors and the polarization states using the N, p, q triad Compact binaries and the postNewtonian (PN) approximation Small velocity (neglect ultrarelativistic effects) Small gravitational potential (neglect extreme gravitational effects) Spin is treated as a PN perturbation The transverse-traceless tenzor in the PN approximation Newtonian or quadrupole term Higher order PN corrections Spin-Orbit corrections Research plan • Description of the motion and the method in the LenseThirring picture • Description of the motion and the method in the finite mass case • Description of the motion and the method in the general case • Explicit time dependence – numerical integration • Polarization states in the LenseThirring picture, effects of eccentricity and spin • Polarization states in the finite mass case, effects of eccentricity and spin, extreme mass ratio limit • Polarization states in the general case, effects of eccentricity and spins, extreme mass ratio limit, one spin limit, lowest order spin-spin contributions • Innermost Stable Circular Orbit case