Three bodies of identical mass M form the vertices of anequilateral triangle of

Question

Three bodies of identical mass M form the vertices of anequilateral triangle of side L and rotate in circular orbitsabout the center of the triangle. They are held in place by theirmutual gravitation. What is the speed of each? Express your answer in terms of thevariables M,L and appropriate constants. v= ? Three bodies of identical mass M form the vertices of anequilateral triangle of side L and rotate in circular orbitsabout the center of the triangle. They are held in place by theirmutual gravitation. What is the speed of each? Express your answer in terms of thevariables M,L and appropriate constants. v= ? What is the speed of each? Express your answer in terms of thevariables M,L and appropriate constants. v= ?

Explanation / Answer

2*GM2/L2 * cos(30) =Mv2/(L/3) v = (GM/L)

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