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3. Two particles move about each other in circular orbits under the influ- ence of gravitational forces, with a period 7, Their motion is suddenly stopped at a given instant of time and they are then released and allowed to fall into each other. Prove that they collide after a time T/(4√2).

3. Two particles move about each other in circular orbits under the influ- ence of gravitational forces, with a period 7, Their motion is suddenly stopped at a given instant of time and they are then released and allowed to fall into each other. Prove that they collide after a time T/(4√2).

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3. Two particles move about each other in circular orbits under the influ- ence of gravitational forces, with a period 7, Their motion is suddenly stopped at a given instant of time and they are then released and allowed to fall into each other. Prove that they collide after a time T/(4√/2). You will need the following integral: 3 dx SO VAGE-1) - 2 VA ( (1)
Transcribed Image Text:3. Two particles move about each other in circular orbits under the influ- ence of gravitational forces, with a period 7, Their motion is suddenly stopped at a given instant of time and they are then released and allowed to fall into each other. Prove that they collide after a time T/(4√/2). You will need the following integral: 3 dx SO VAGE-1) - 2 VA ( (1)
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