Person B moves at speed v (with v << c) in a circle of radius r around person A. By what fraction does B’s clock run slower than A’s? Calculate this in three ways. Work in:
(a) A’s frame.
(b) The frame whose origin is B and whose axes remain parallel to an inertial set of axes.
(c) The rotating frame that is centered at A and rotates around A with the same frequency as B.