curly brackets disappears in the standard worldline gauge.

The LD-EIH form of the linear momentum is obtained by retaining only the mass monopole terms $$\begin{aligned}
 p^i_{LD-EIH} &=& \sum_A \biggl\{ M^A v_A^i \left[1+{1 \over 2c^2}
  \left(v_A^2 - \sum_{B \neq A} {GM^B \over r_{AB}}\right)\right]
  \nonumber \\
 & &  \quad\quad - {G \over 2c^2} \sum_{B \neq A} {G M^A M^B
  \over r_{AB}}\left({\bf n}_{AB}.{\bf v}_B\right) n^i_{AB}\biggr\}
 \nonumber \\ & & \quad\quad +{\cal O}(4) \; . \label{twentytwo}\end{aligned}$$ The presence of spin dipoles (in the framework of the PD model) results in the following additional term $$p^i_{PD} = p^i_{LD-EIH} + {1 \over c^2} \sum_A a^j_A s^{ij}_A +
 {\cal O}(4) \; , \label{twentythree}$$ as mentioned in [@ds].

As in the case of the total mass-energy, but with more work, one can directly check that the global-time derivative of Eq. (\[twentyone\]) vanishes to the indicated accuracy.

Due to the incompatibilities between the DSX and the Fock approaches mentioned above, it is not possible to compare directly our results with those given by Fock [@fo] or Brumberg [@bru].

Angular momentum
----------------

Damour and Iyer [@di1] and Ref. [@dam3] have shown that the treatment of the local individual spin of bodies, members of an interacting $N$-body system, faces serious problems 