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A problem from Gravitation

Three identical bodies each of mass m are located at the vertices of an equilateral triangle with side r. At what speed they move if they all revolve under the influence of one another’s gravitation in a circular orbit circumscribing the triangle while still preserving the equilateral triangle

Asked Nitin gupta (from our mobile website http://m.askphysics.com)

An equilateral triangle with equal sides and a...
An equilateral triangle with equal sides and angles marked

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