A satellite orbiting above the equator of the earth is geosynchronous if the period is T

Chapter 13, Problem 6

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A satellite orbiting above the equator of the earth is geosynchronous if the period is T = 24 hours (in this case, the satellite stays over a fixed point on the equator). Use Keplers Third Law to show that in a circular geosynchronous orbit, the distance from the center of the earth is R 42,246 km. Then compute the altitude h of the orbit above the earths surface. The earth has mass M 5.974 1024 kg and radius R 6371 km.

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