  We derive the rate of emission of electromagnetic energy by an accelerating
point charge by calculating the rate of increase of electromagnetic energy in a
localized volume. This gives the rate of emission in terms of the acceleration
at the present time. This contrasts with the usual derivation, which calculates
the energy radiated through the surface of a large sphere, and gives the rate
of radiated energy in terms of the acceleration at the retarded time. Replacing
the retarded time acceleration by the present time acceleration is a
significant correction, which resolves some problems associated with using the
retarded time to describe the emission of electromagnetic energy.
