How does celestial gravitation differ? Should it not remain the same?
No, it shouldn't, since celestial bodies are in motion, circling above the Earth. Can you, the reader, guess the direction of said orbits?
A few questions - Does rotation in CG matter? i.e. does the motion of bodies impart a force just by their rotation alone. Is matter (assuming CG operates similarly to gravity) distributed unevenly thereby causing some uneven force? Finally, how would CG account for the fact that the Eötvös effect is maximal at the equator and lessens at higher latitudes. The quick answer is that the Sun orbits around the equator, but that would cause the effect to be variable depending on the position of the Sun, which doesn't seem to be the case.
This also raises the question of the small variability of gravitational forces observed on the Earth. If you're implying that the rotation of celestial objects above the Earth is imparting a force, wouldn't that cause the variability in G to change depending on the positions of objects above the Earth?
My apologies if I am misreading what you're saying.