Question

A satellite is orbiting around the earth. By what percentage should we increase its velocity so as to enable it escape away from earth

Answer 1

We know that the maximum orbital velocity of a satellite orbiting near the earth surface is,  

v = (gR)^½ = v0  

And the escape velocity Ve = v0*(2)^ ½ = 1.414*v0  

Increase in the velocity = Ve – v0 = (1.414 - 1.000)v0 = 0.414 v0  

Therefore, percentage increase = 41.4%

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