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Three identical bodies (each mass \( M \) ) are placed at vertices of an equilateral triangle of arm L, keeping the triangle as such by which angular speed the bodies should be rotated in their gravitational fields so that the triangle moves along circumference of circular orbit :
(1) \( \sqrt{\frac{3 G M}{L^{3}}} \)
(2) \( \sqrt{\frac{G M}{\mathrm{~L}^{3}}} \)
(3) \( \sqrt{\frac{G M}{3 L^{3}}} \)
(4) \( 3 \sqrt{\frac{G M}{L^{3}}} \)
\( \mathrm{P} \)
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