A planet of mass M is in an orbit of eccentricity e = 1 – α where α << 1, about the Sun. Assume that the motion of the Sun can be neglected and that only gravitational forces act. When the planet is at its greatest distance from the Sun, it is struck by a comet of mass m, where m << M, traveling in a tangential direction. Assuming that the collision is completely inelastic (that is, the planet and the comet becomes a single body after the collision), find the minimum kinetic energy the comet must have to change the new orbit to a parabola. (Please type answer no write by hend)

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A planet of mass M is in an orbit of eccentricity e = 1 – α where α << 1, about the Sun. Assume that the motion of the Sun can be neglected and that only gravitational forces act. When the planet is at its greatest distance from the Sun, it is struck by a comet of mass m, where m << M, traveling in a tangential direction. Assuming that the collision is completely inelastic (that is, the planet and the comet becomes a single body after the collision), find the minimum kinetic energy the comet must have to change the new orbit to a parabola.

(Please type answer no write by hend)

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