Two particles move about each other in circular orbits, Physics

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Two particles move about each other in circular orbits

Two particles move about each other in circular orbits under the influence of gravitational forces, with period T. Their motion is suddenly stopped at a given instant in time, and they are released and allowed to fall into each other. Prove that they collide after time T/4√2.

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Physics: Two particles move about each other in circular orbits

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