a gio stationary satellite orbits around the earth in a circular orbit of radius 36000km.find the time period of spy satellite orbiting few hundred meter above the earth surface. radius of earth is 6400km.

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Solution

Let ‘m’ be the mass of the satellite circling the earth in an orbit of radius ‘r’ which is suppose h km above the surface of the earth. The gravitational force on the satellite is provides the centripetal force.
mv ² /r = GMm/r ²
=> v = [GM/r] ^1/2,where r = (h+6400) km -----------------(1)
Similarly
Let the time period be T.
Circumference of the orbit is = 2πr
So, T = 2πr/v hours
Follow the path and get the desired answer!

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