On the motion of a charged particle in a uniform electric field with radiation reaction

It is shown that the motion of a charged particle in a uniform electric field, obeying Dirac-Lorentz relativistic equation of motion with radiation reaction, is confined in a plane. Further, the component of velocity normal to the lines of force continuously decreases to zero. Thus, the motion asymptotically tends to a rectilinear motion along the line of force. The motion is completely described up to a correcting factor 1+0(e ³ F/m ² c ⁴)²]e ³ F/m ² c ⁴5.10^–14 F for electrons,F in volts cm^–1.