D. Light Curve During the Newtonian transition
At t tNR (see Eq. 81) the afterglow reaches the Newtonian Sedov-Taylor phase. During this phase the adiabatic hydrodynamic is described by Eq. 83. Frail et al.  calculate the synchrotron spectrum and light curve of the afterglow in this stage. The energy scaling implies that B t-3/5 and e,min t-6/5. Combined together this yields m t-3. Using the standard assumptions of equipartition and of a power law electron's distribution they find :
This late time light curve provides a simple "calorimetric" estimate of the afterglow energy at this stage (see Section IID). Additionally as the radio flux is rather large and as it varies on a scale of several month it can be used for search of orphan radio afterglows (see Levinson et al.  and Section VIIK2).