Conservation of Momentum and Energy in the Lorenz-Abraham-Dirac Equation of Motion

Abstract: After a brief review of the modified causal Lorentz-Abraham classical equation of motion for an extended charged sphere and its limit to the mass-renormalized modified causal Lorentz-Abraham-Dirac equation of motion as the radius of the charged sphere approaches zero, a streamlined derivation is given for the conditions on the external force required for these modified equations of motion to satisfy conservation of momentum and energy.