Question: There is no general analytical solution for the motion of a 3-body gravitational system. However, there exists an analytical solution for the very special case

There is no general analytical solution for the motion of a 3-body gravitational system. However, there exists an analytical solution for the very special case shown in the Figure on the right. In this Figure, three stars are shown, each of mass m, which move with the same speed in the plane of the page along a circle of radius r. The three stars move in a clock-wise direction. Calculate how long it will take for this system to make one complete revolution.

17m 120 1200 1m 17m

m 120 120 r m

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