Three point masses each of mass m rotate...

Three point masses each of mass `m` rotate in a circle of radius `r` with constant angular velocity `omega` due to their mutual gravitational attraction. If at any instant, the masses are on the vertices of an equilateral triangle of side `a`, then the value of `omega` is

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Three point masses each of mass `m` rotate in a circle of radius `r` with constant angular velocity `omega` due to their mutual gravitational attraction. If at any instant, the masses are on the vertices of an equilateral triangle of side `a`, then the value of `omega` is

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