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Calculate the period of revolution of a ...

Calculate the period of revolution of a polar satellite orbiting close to the surface of the Earth.

Text Solution

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h is negligible as satellite is close to the Earth surface.
` therefore R + h ~~ R`
`g_h = g`
`R = 6400 km = 6.4 xx 10^6 m`
` T = 2pi sqrt(R/g)`
`= 2 xx 3.14 sqrt((6.4 xx 10^6)/(9.8))`
` = 5.705 xx 10^3` second
85 minute (approx.)
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