A 100 kg satellite is placed into a near circular orbit with an average path radius of 6.671 x 10^6 around the Earth.  a). Calculate the period of the satellite. b). Calculate the speed of the satellite. c). Explain why a satellite of 1000 kg at the same radius would have the same period.

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter8: Central-force Motion
Section: Chapter Questions
Problem 8.37P
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A 100 kg satellite is placed into a near circular orbit with an average path radius of 6.671 x 10^6 around the Earth. 

a). Calculate the period of the satellite.

b). Calculate the speed of the satellite.

c). Explain why a satellite of 1000 kg at the same radius would have the same period.

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