Three particles each of mass m are situated at the vertices of an equilateral triangle of side a.The only forces acting on the particles are their mutual gravitational forces. It is desired that each particle moves in a circle while maintaining the original mutual seperation a. Find the initial velocity that should be given to each particle and also the time period of the circular motion.

The resultant of the forces on a mass m passes through the median of the equilateral triangle. 

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