The equation of motion for a charge in an electromagnetic field is written in the Fermi coordinates of an observer moving with a constant acceleration g=9.8 m/${\mathrm{s}}^2$ (${10}^{\mathrm{-}18}$ ${\mathrm{cm}}^{\mathrm{-}1}$ in units such that c=1). This is involved in the equation of motion not only as a Newtonian term g→, but also as a relativistic correction of the form ‘‘-2(g→⋅v→)v→.’’ We have studied the effect of this term under the conditions of an accelerator of particles. To this end, we have considered a constant and uniform magnetic field, and a periodic electric field, both directed along the vertical direction. When the frequency of the electric field is taken to be equal to the Larmor frequency of the charge in the magnetic field, a resonant effect occurs, producing a secular horizontal drift of the nearly circular trajectory.

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