Three identical bodies of mass M are located at the vertices of an equilateral triangle with side L. At what speed must they move if they all revolve under the influence of one another's gravity in a circular orbit circumscribing the triangle while still preserving the equilateral triangle.

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14 Mar 2019

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Three bodies of identical mass M form the vertices ofanequilateral triangle of side L and rotate in circular orbitsaboutthe center of the triangle. They are held in place by theirmutualgravitation.

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Three identical bodies of mass M are located at the vertices of an equilateral triangle with side L. At what speed must they move if they all revolve under the influence of one another's gravity in a circular orbit circumscribing the triangle while still preserving the equilateral triangle.

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