Hello! I was wondering if anyone knew of any good references (texts or whatever) to learn about the Thomas Precession. None of the current textbooks I own talk about it (maybe there is a chapter on it in Wald? I can't seem to find anything). In particular, I am dealing with a calculation involving the derivation of the lens thirring effect and while I have done it in the standard coordinates of the metric perturbation centered on the origin for a slowly rotating spherical shell, I would like to try it by considering a frame that is co - moving with the free - falling test particle that is precessing. There seems to be a complication involving the transformation to such a co - moving frame since said frame doesn't have to be non - rotating with respect to the original frame but we want to make sure the co - moving frame is non - rotating so that the observer in this frame can properly measure the precession of the falling object. It would seem the Thomas Precession would give a way of doing this with regards to making the proper corrections in the coordinate transformations so if anyone has a reference in a text or something that elaborated on this specific situation I would be much obliged. Thanks! EDIT: I should probably say that I know what to do in order to correct it i.e. in terms of subtracting off the changes in angle of the orientation of the co - moving frame as seen from the original frame between one instant of time and the next instant of time but what I really want to see is why the correction needs to be made - why this complication arises in the first place. Sorry for my poor wording beforehand. Thanks again.