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