Corrected entry: In the docking scene where Coop is trying to dock the service module to the partly damaged Endurance, the Endurance is spinning around its center axis. As the ship was damaged around the perimeter it would spin around its new center of mass, that would be off axis. The docking bay itself would revolve around this new axis, making alignment much harder.
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Correction: It's not explained in the movie itself, but any kind of craft that has to take distribution of weight into account (e.g. Larger ships, airplanes), has some form of (semi-) automatic mechanism to rebalance itself, for example by pumping fuel into another section. A spacecraft that is designed to revolve around itself and features detachable cargo modules etc., sure as hell will have some form of automatic weight redistribution as well, so as not to off-center the whole craft when someone goes to the toilet 90° away.
t-6