Let us mention that the 3.5PN terms in the equations of motion are also known, both for point-particle
binaries [136
, 137
, 138
, 174
, 148
, 164
] and extended fluid bodies [14
, 18
]; they correspond to 1PN “relative” corrections in
the radiation reaction force. Known also is the contribution of wave tails in the equations of motion, which arises at the 4PN
order and represents a 1.5PN modification of the gravitational radiation damping [27
].