The minimum energy required to launch a satellite of mass from the surface of Earth of mass and radius in a circular orbit at an altitude of from the surface of the Earth is [2024]
(1)
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Energy of satellite on surface of earth,
The energy at distance
Energy required to launch the satellite,
A satellite of mass is orbiting the earth (of radius R) at a height from its surface. The total energy of the satellite in terms of , the value of acceleration due to gravity at the earth’s surface, is [2016]
(2)
Total energy of satellite at height from the earth's surface,
...(i)
Also,
or, ...(ii)
From eqns. (i) and (ii),