Question: A certain quaternary star system consists of three stars, each of mass m, moving in the same circular orbit of radius r about a central

A certain quaternary star system consists of three stars, each of mass m, moving in the same circular orbit of radius r about a central star of mass M. The stars orbit in the same sense, and are positioned one third of a revolution apart from each other. Show that the period of each of the three stars is given by

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