The mean square vacuum fluctuation responsible for a precessing planar orbit is given by Eq. (16), in which the orbital velocity v for small precessions is given by the Newtonian (17). The angular frequency of fluctuations for any planar orbit is given by Eq. (19). These results are a straightforward result of the relativistic Newton equation (1) used with the ECE2 force equation (3). The orbital precession is obtained as in UFT377 by numerical integration of Eq. (1) with given initial conditions. This theory can be used with any coordinates system. This calculation is to second order in the tensorial Taylor series as in UFT401. The aim is to use this theory to obtain complete agreement with experimental data.