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Suppose there is an inertial frame S in which there exists some object A at rest, located at (x,y,z)=(10^8,0,0). Now consider the non-inertial frame S' whose axes are coincident with those of S at t=0, but which is rotating about the common z-axis with constant angular frequency w. If S' has a period of 1s, how do we avoid the conclusion that A appears to be moving (orbiting the origin of S') at v=2pi*10^8 m/s > c? How can we find the gamma factor 1/sqrt(1-v^2/c^2) for an object at rest in S located at r>=w/c?