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Find the expression of the orbital speed...

Find the expression of the orbital speed of satellite revolving around the earth.

Text Solution

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A satellite of mass M to move in a circular orbit, centripetal force must be acting on the satellite. This centripetal force is provided by the Earth's gravitational force.
`(Mv^2)/((R_(E) + h)) = (GMM_E)/((R_E + h)^(2))`
`v^(2) = (GM_E)/((R_E + h)) , v = sqrt((GM_E)/((R_E + h)))`
As h increases, the speed of the satellite decreases.
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