[Christopher149]

Originally Posted by pmangels17

For any reasonably sized object, nothing. It really only comes into play in absolutely massive objects where different portions of the object are being pulled differently by gravity (we are talking planet sized here). The Center of Mass is essentially where the mass would be if the object was a point mass, the Center of Gravity is where the gravity force would act on the object if it was only at one point.

Or for artificial satellites via gravity-gradient stabilization.