  In 2002, Poujade and Blanchet succeeded in matching the post-Newtonian
solution to the Einstein field equation to the post-Minkowskian field up to any
arbitrary order as well as reproducing, in a different way, the results of the
1998 paper by Blanchet in which he showed how to match the post-Minkowskian
series to the post-Newtonian expansion. Comparing these two papers, it might be
asked whether it is possible to match the post-Newtonian field to the
post-Minkowskian one by means of a method similar to the one used in the 1998
paper. The answer is affirmative, and in the present paper we provide this
alternative method. Furthermore, detailed proofs of several properties and
results stated in previous papers are given.
