In the following problems, except where otherwise indicated, assume that the radius of the earth is 6378 km, the earth’s mass is 5.976(1024) kg, the mass of the sun is 1.99(1030) kg, and the gravitational constant is G = 66.73(10-12) m3/(kg • s2).
A communications satellite is in a circular orbit above the earth such that it always remains directly over a point on the earth’s surface. As a result, the period of the satellite must equal the rotation of the earth, which is approximately 24 hours. Determine the satellite’s altitude h above the earth's surface and its orbital speed.
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