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It is shown that transverse Doppler effects of the same order of magnitude given by special relativity theory exists in classical physics if the problem is more carefully approached.

The problem of how the movement of bodies affects electrodynamic phenomena is an open one in classical electrodynamics (as opposed to relativistic electrodyamics) because we cannot use the Lorentz covariance of Maxwell's equations in such context.  We propose that this problem be solved through the concept of current and not via the notion of Galilean covariance or action-at-a-distance force laws of Weber's type.  The resulting theory is shown to be consistent with all experiments to which it is applicable.