Given the perihelion distance, p, and aphelion distance, q, for an elliptical orbit, show that the velocity at perihelion, v p , is given by v p = √((2GMSun /(q + p)) . (q/p)) . (Hint: Use conservation of angular momentum to relate v p and vq , and then substitute into the conservation of energy equation.)

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Given the perihelion distance, p, and aphelion distance, q, for an elliptical orbit, show that the velocity at perihelion, v p , is given by v p = √((2GMSun /(q + p)) . (q/p)) . (Hint: Use conservation of angular momentum to relate v p and vq , and then substitute into the conservation of energy equation.)

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