Note also that the harmonic-coordinates 3PN equations of motion [69*, 71*] depend, in addition to
, on two
arbitrary constants
and
parametrizing some logarithmic terms. These constants are closely related to the
constants
and
in the partie-finie integral (162); see Ref. [71*] and Eq. (185) below for the precise
definition. However,
and
are not “physical” in the sense that they can be removed by a coordinate
transformation.