So, if I could curl up and occupy that ONE point at the exact center of mass, all of the forces surrounding me would be equal and opposite in all directions. Fair enough. Off by a micron or two, though, and I’m smushed!
Hardly. You would be surrounded by approximately 4000 miles of matter whose non uniform density complicates the problem quite a bit, but the field of unbalanced matter would be relatively small and quite distant. Even being several miles off wouldn't matter.
ML/NJ