Achieving Synchronous Orbit The space shuttle orbits the earth in about 90 min at an altitude of about 125 mi, but a communication satellite must always remain above a fixed location on the earth, in synchronous orbit with the earth. Since the earth rotates 15° per hour, the angular velocity of a communication satellite must be 15° per hour. To achieve a synchronous orbit with the earth, the radius of the orbit of a satellite must be 6.5 times the radius of the earth (3950 mi). What is the linear velocity in miles per hour of such a satellite?
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