Post-Newtonian Equations of Motion for Compact Binaries

3 Post-Newtonian Equations of Motion for Compact Binaries

In this section we review briefly the strong field point particle limit, the surface integral approach for the evaluation of the gravitational force, and scalings of matter and field variables on an initial hypersurface. Also we revisit some elementary but useful equations, the Newtonian velocity momentum relation and the Newtonian equations of motion for extended bodies. These are the basic ideas of our formalism. On the base of our formalism, see also [11 , 91 , 92 , 93 , 94 , 95 , 140 ]. On the post-Newtonian approximation and related issues from different viewpoints, see [47 , 48 , 49 , 16 , 18 , 19 ] and references therein.

3.1 Strong field point particle limit
3.2 Surface integral approach and body zone
3.3 Scalings on the initial hypersurface
3.4 Newtonian equations of motion for extended bodies