Newton-like equations for a radiating particle: The nonrelativistic limit

A broad class of forces, P, is identified, for which the Abraham-Lorentz-Dirac (ALD) and Newton-like equations have solutions in common. Moreover, these do not present pre-acceleration or escape into infinity (runaway behavior). Any continuous piecewise force can be represented terms functions belonging to this P. It was also argued that set common both sets wider, it proved could formulated generalized functions. The existence such motions explicitly demonstrated relevant example instantaneously applied constant force, respective solution ALD equation exhibits lack causality runaway motion. In case, expressions position velocity particle are time, having only a point support at time applied. Thus, both, discontinuous instant moving between plates capacitor reproduces one obtained by A. Yaghjian from his discussion extended particles. This outcome suggests possible link equivalence studies. solution, equations, homogeneous magnetic field presented. extension results relativistic context will studied future works.