Note also that the harmonic-coordinates 3PN equations of motion as they have been obtained in Refs. [37
, 38
] 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 (124); see Ref. [38
] for the precise
definition. However,
and
are not “physical” in the sense that they can be removed by a coordinate
transformation.