A satellite is shifted slowly from a circular orbit of radius R to another circular orbit of radius 4R. Minimum energy that must be supplied is:
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A satellite is shifted slowly from a circular orbit of radius R to another circular orbit of radius 4R. Minimum energy that must be supplied is:

G1 Physics · Accepted Answer

Total energy in a circular orbit is E=−GMm/(2r). Thus E_i=−GMm/(2R), E_f=−GMm/(8R). Required energy ΔE=E_f−E_i=3GMm/(8R).