A satellite of mass m revolves around the earth of radius R at a height x from its surface. If g is the acceleration due to gravity on the surface of the earth, the orbital speed of the satellite is

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For the satellite, the gravitational force provides the necessary centripetal force i.e. ​ ( R + X ) 2 GM e ​ m ​ = ( R + X ) Mv 0 2 ​ ​ and R 2 GM e ​ ​ = g ∴ v 0 ​ = ( R + X g R 2 ​ ) 1/2 ​

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