It is shown that, for the class of electromagnetic fields for which →E·→H=0 and |→E||→H|=const, there is an exact integral of the Lorentz-Dirac equation of motion. For synchrotron motion this reduces to d→r_∥dt=const; hence, the loss of kinetic energy of the particle is only due to the continuous decrease in magnitude of the transverse component of its velocity.
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Namita Gupta (1972) studied this question.
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