A satellite of mass m is in circular orbit of radius $$3 R_E$$ about earth (mass of earth $$M_E$$, radius of earth $$R_E$$). How much additional energy is required to transfer the satellite to an orbit of radius $$9 R_E$$ ?

A

$$\frac{GM_Em}{3R_E}$$

B

$$\frac{GM_Em}{18R_E}$$

C

$$\frac{3 GM_Em}{2R_E}$$

D

$$\frac{GM_Em}{9R_E}$$