Abstract
AbstractThe three- and four-vector forms of the force and power equations of motion derived by Lorentz and Abraham for a “relativistically rigid” charged sphere are introduced and explained in modern SI notation and units along with a brief history of their origin. Lorentz derived the force equation of motion in the instantaneous rest frame by determining the self electromagnetic force induced by the moving charge distribution upon itself, and setting the sum of the externally applied and self electromagnetic force equal to zero, that is, he assumed a zero “bare mass.” Similarly, the power equation of motion can be derived by setting the sum of the externally applied and self electromagnetic power (work done per unit time by the forces on the charge distribution) equal to zero.KeywordsLorentz-Abraham equations of motionRadiation reactionSchott accelerationSelf electromagnetic forceSelf electromagnetic power
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