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. what is the numerical value for h in meters.

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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.

what is the numerical value for h in meters. 


Derive an expression for h in terms of m, M, R, T and constants.
3 GMT²
- R
472
з |GMT
3 GMT2
h =
h =
h =
4π2
3 |GMT
h =
3 GmT²
h =
--Rh:
з |GMT
- R
2п
2n2
4π2
Transcribed Image Text:Derive an expression for h in terms of m, M, R, T and constants. 3 GMT² - R 472 з |GMT 3 GMT2 h = h = h = 4π2 3 |GMT h = 3 GmT² h = --Rh: з |GMT - R 2п 2n2 4π2
m.
M
Transcribed Image Text:m. M
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