A deduction of the Landau-Lifshitz equation of motion without mass renormalization in classical electrodynamics

A new expression for the large distance radiated power of a spinless charged point particle is obtained. As a consequence of this and by using the balance of energy criterion, the Landau-Lifshitz equation of motion in classical electrodynamics is deduced. Neither the mass renormalization process nor the Lorentz-Dirac equation is required. In order to show the goodness of the Landau-Lifshitz equation of motion, the case of a pulse is analyzed. The new expression predicts that the large distance radiated power is increased.