Year: 2016

An electron of mass m and charge -e moving at angle theta to the accelerating force due to an electric field of intensity E, is subject to aberration of electric field as a result of relativity of velocity (c-v) between the electrical force, transmitted with velocity of light c and the electron moving with velocity v at time t. The accelerating force m(dv/dt) is less than the electrostatic force –eE, the difference being the radiation reaction force. Motion of the electron with constant mass and its radiation power are treated under acceleration with theta=0 or deceleration with theta=\pi radians or at constant speed v, in a circle of radius r, with theta=pi/2 radians. It is shown that circular revolution of an electron round a central force of attraction is without radiation and stable, contrary to classical and relativistic electrodynamics.