We recall that the quantities $M^A$ (which are not constant in general) denote the local, individual relativistic mass monopoles of each body. Each $M^A$ is a directly observable quantity in the sense that it is just the gravitational mass measured from interpreting the locally measured orbital motion of artificial/natural satellites around body $A$. Similarly the $M^A_L$ (for $l \geq 1$) are the locally measured mass multipole moments of body $A$, and $G^A_L$ the locally felt tidal moments. The other quantities entering Eq. (\[eleven\]) are related to the way the local $A$-reference system is moving with respect to the global coordinate system \[in particular $G''^A_L = (G''^A,-A^A_a, +3 A^A_{<a}
A^A_{b>}/c^2, 0, 0, ...)$ measure the inertial contributions to the tidal moments felt in the local $A$ system\]. The result (\[eleven\]) is new, and its precise form (e.g. the numerical factor $2l+1$ in front of the $M^A_L G^A_L$ product) is different from what one might have naively expected from the standard Newtonian expression for the total energy (e.g. [@hart]).

As discussed in detail in Ref. [@dam1] the DSX framework leaves open some freedom in fixing several quantities related to the origin an orientation of the local coordinate systems, as well as the 