It is often stated that ANY accelerating charge radiates, so this includes uniformly accelerating charges. But the radiation reaction force is proportional to the THIRD derivative of x, so it vanishes when acceleration is constant. What's the deal here? Here's a graph which supposedly shows that the energy carried away by radiation (which is proportional to acceleration squared) is different than the work done by the radiation reaction force (which is proportional to velocity times the THIRD derivative of x). What's the deal with all of this? http://physics.fullerton.edu/~jimw/general/radreact/radfig2.gif And here's the full paper where this graph came from: http://physics.fullerton.edu/~jimw/general/radreact/ It seems the paper states that this is some kind of an unsolved problem or something. Is any of this true?