Source-region calculation of dipole power
  An exact calculation of the retarded electric field in the source region of a system of individual charges, expanded to third order in velocity, shows that all nonrelativistic accelerated charges in a system emit dipole electromagnetic energy at the Larmor rate. In general, some of the emitted dipole power is reabsorbed by doing work on other charges in the system, and some is radiated. If the system has zero net dipole moment, all the emitted dipole power is reabsorbed, and none is radiated. 
F. S. Felber