Question

A certain quaternary star system consists of a central star of mass m and three smaller stars, each of mass m. the three smaller stars orbit the central star in the same circular orbit of radius r and have the same sense of revolution. they are positioned one-third of a revolution apart from one another in the orbit. the period of revolution of each smaller star is

Answer 1

T=2pi sqrt(r^3 /g(M+m /sqrt 3)