The additional kinetic energy to be provided to a satellite of mass `m` revolving around a planet of mass `M`, to transfer it forms a circular orbit of radius `R_(1)` to another of radius `R_(2)(R_(2)gtR_(1))` is

Options

A. `GmM ((1)/(R_1^2) -(1)/(R_2^2))`
B. `GmM ((1)/(R_1) - (1)/(R_2))`
C. `2GmM ((1)/(R_1) - (1)/(R_2))`
D. `1/2 GmM ((1)/(R_1) - (1)/(R_2))`

Answer

D

Explanation

`1/2 GmM ((1)/(R_1) - (1)/(R_2))`