Drift of the center of motion for a charged particle due to radiation effects

Through parametrization of the relativistic Larmor formula, one can find the trajectory of a charged particle in a uniform magnetic field. Simultaneously, there exists a drift of the center of curvature for the same. This effect is quantitatively compared with the predictions by other equations of motion, such as Dirac. Mo-Papas, Herrera, Bonnor and Cardirola and the one recently obtained by Hartemann et al. We propose an experiment to verify the predicted effect, both qualitative and quantitative.