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Prove that for an earth satellite, the r...

Prove that for an earth satellite, the ratio of its velocity at apogee (when farthest from the earth) to its velocity at perigee (when nearest to the earth) is the inverse ratio of its distances from apogee and perigee.

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Prove that for an earth satellite, the ratio of its velocity at apogee (when farthest from earth) to its velocity at perigee (when closer to earth) is in the inverse ratio of its distance at apogee and perigee.

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