A satellite of mass m circles a planet of mass M and radius R in an orbit at a height 2R above the surface of the planet. What minimum energy is required to change the orbit to one for which the height of the satellite is 3R above the surface of the planet?
A) $\frac{G m M}{24 R}$
B) $\frac{G m M}{15 R}$
C) $\frac{G m M}{12 R}$
D) $\frac{2 G m M}{21 R}$
E) $\frac{3 G m M}{5 R}$

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The Answer of A satellite of mass m circles a planet of mass M and radius R in an orbit at a height 2R above the surface of the planet. What minimum energy is required to change the orbit to one for which the height of the satellite is 3R above the surface of the planet?
A) $\frac{G m M}{24 R}$
B) $\frac{G m M}{15 R}$
C) $\frac{G m M}{12 R}$
D) $\frac{2 G m M}{21 R}$
E) $\frac{3 G m M}{5 R}$

A Satellite of Mass M Circles a Planet of Mass GmM24R\frac{G m M}{24 R}24RGmM​

A Satellite of Mass M Circles a Planet of Mass $\frac{G m M}{24 R}$