Solved: Orbital Speed In Exercises 8790, use the result of Exercise 86 to find the speed

Chapter 12, Problem 90

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Orbital Speed In Exercises 87–90, use the result of Exercise 86 to find the speed necessary for the given circular orbit around Earth. Let \(G M=9.56 \times 10^{4}\) cubic miles per second per second, and assume the radius of Earth is 4000 miles.

The orbit of a communications satellite r miles above the surface of Earth that is in geosynchronous orbit [The satellite completes one orbit per sidereal day (approximately 23 hours, 56 minutes), and therefore appears to remain stationary above a point on Earth.]

Text Transcription:

G M=9.56 times 10^4

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