Formulation

4 Formulation

Following the basic idea explained in the previous Section 3, we develop now our formalism for the derivation of the post-Newtonian equations of motion suitable for relativistic compact binaries. See also [94 , 95 ].

4.1 Field equations
4.2 Near zone contribution
  4.2.1 Body zone contribution
  4.2.2 $N ∕B$ contribution
4.3 Lorentz contraction and multipole moments
4.4 General form of the equations of motion
4.5 On the arbitrary constant $RA$
  4.5.1 $RA$ dependence of the field
  4.5.2 $RA$ dependence of the equations of motion
4.6 Newtonian equations of motion
4.7 First post-Newtonian equations of motion
4.8 Body zone boundary dependent terms