abstract
- © Published under licence by IOP Publishing Ltd. We review the post-Newtonian (PN) expansion for the relativistic correction to the motion of a binary system of black holes. Using the Newtonian formalism, we derive the orbital equations for the 2nd order PN corrections, considering small velocities and weak fields. From a wave equation obtained by the post-Newtonian approximation, we find the h + and h × polarization of the Gravitational Waves (GW) which could be detected by Laser Interferometer Gravitational Observatory (LIGO).