  Thim measured the transverse Doppler shift using a system consisting of a
stationary antenna and pickup, in addition to a number of intermediate antennas
mounted on the rim of a rotating disk. No such shift was detected, although the
experiment should have had enough sensitivity to measure it, as predicted by
the Lorentz transformations. However, using the Lorentz transformations to
analyze the results of experiments involving circular motion, while commonly
done, is inappropriate because such an analysis involves non-inertial frames,
which are outside the range of validity of special relativity. In this paper,
we re-analyze Thim's experiment using exact rotational space-time
transformations, finding that his null result is consistent with theoretical
predictions.
