Re: How small can you go?
Frame-dragging does happen, yes (or, to be fussy, GR predicts it, and there is sone experimental evidence I think). But it does not involve a change in G – obviously, since it's predicted by GR and G is a constant in GR. GPS satellites, while they do need to account for GR effects, don't need to account fir frame-dragging I believe, which is a very tiny effect around the Earth.