ite moves in a circular orbit around the Earth and completes one circle in the same time T during which the Earth completes one revolution around its own axis. The satellite has mass m and the Earth has mass M and radius R

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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 A geosynchronous satellite moves in a circular orbit around the Earth and completes one circle in the same time T during which the Earth completes one revolution around its own axis. The satellite has mass m and the Earth has mass M and radius R. In order to be geosynchronous, the satellite must be at a certain height h above the Earth’s surface.

Part (a)  Derive an expression for h in terms of mMRT and constants. 

Part (b)  Calculate the numerical value for h in meters. 

3 GmT2
h
3 |GMT
3 GMT2
h
R
h =
-
472
3 |GMT
h =
з |GMT
h
3 GMT2
- R
Rh =
-
2n2
2п
4n2
||
Transcribed Image Text:3 GmT2 h 3 |GMT 3 GMT2 h R h = - 472 3 |GMT h = з |GMT h 3 GMT2 - R Rh = - 2n2 2п 4n2 ||
m.
Transcribed Image Text:m.
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