  Rotational transformations describe relativistic effects in rotating frames.
There are four major kinematic rotational transformations: the Langevin metric;
Post transformation; Franklin transformation; and the rotational form of the
absolute Lorentz transformation. The four transformations exhibit different
combinations of relativistic effects and simultaneity frameworks, and generate
different predictions for relativistic phenomena. Here, the predictions of the
four rotational transformations are compared with recent optical data that has
sufficient resolution to distinguish the transformations. We show that the
rotational absolute Lorentz transformation matches diverse relativistic optical
and non-optical rotational data. These include experimental observations of
length contraction, directional time dilation, anisotropic one-way speed of
light, isotropic two-way speed of light, and the conventional Sagnac effect. In
contrast, the other three transformations do not match the full range of
rotating-frame relativistic observations.
