The non-relativistic Larmor formula for the power radiated by a point charge is proportional to the charge’s acceleration squared. When the charge’s velocity and acceleration are collinear, the radiated power is proportional to gamma^6 times a^2. If the charge has simple harmonic motion, say x = A sin(wt), then the acceleration and radiated power are maximum when the charge is at rest (at x = A and x = -A). But assuming the charge is driven by some force, F, the radiated power should be Fv, which equals zero at the turning points. Does this constitute a logical difficulty with the Larmor formula?