A spherical planet has a mass Mp and Diameter Dp. A particle of mass m falling freely near the surface of this planet will experience an acceleration due to gravity, equal to :

\(\frac{GM_P}{D_P^2}\) \(\frac{4GM_Pm}{D_P^2}\) \(\frac{4GM_P}{D_P^2}\) \(\frac{GM_Pm}{D_P^2}\)

\(\frac{4GM_P}{D_P^2}\)

g = \(\frac{GM}{R^2}\)    = \(\frac{GM_P}{(D_P/2)^2}\)    = \(\frac{4GM_P}{D_P^2}\)