Four particles, each of mass \( M \) and equidistant from each other, move along a circle of rad...

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Rad (2019)
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Four particles, each of mass \( M \) and equidistant from each other, move along a circle of radius \( R \) under the action of their mutual gravitational attraction. The speed of each particle is
(1) \( \sqrt{\frac{G M}{R}(1+2 \sqrt{2})} \)
(2) \( \frac{1}{2} \sqrt{\frac{G M}{R}(1+2 \sqrt{2})} \)
(3) \( \sqrt{\frac{G M}{R}} \)
(4) \( \sqrt{2 \sqrt{2} \frac{G M}{R}} \)
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