Abstract
By analyzing the equations of motion of a spatially extended charge distribution, we are lead to classical equations of motion for a radiating charged point particle. We describe the particle by an intrinsic and an extrinsic momentum and not, as is normally done, by the mechanical momentum and the Lorentz force. We thus obtain a differential equation with retarded argument, which is free of run-away solutions and also contains the physical solutions of the older theories. Open questions are pointed out in detail.
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