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Originally Posted by papageno
If G changed with the distance between the masses (in which case we would wirte it G(r), where (r) means "function of r"), there is no guarantee that gravity is a conservative force and the planets, satellites, asteroids, comets, meteoroids, artificial probes/satellites, space junk and dust would no longer follow conical sections as orbits.
Unless you assume, against all the experimental evidence, that the Equivalence Principle is violated.
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Are your refering again to (Gm) = m, as per above? If the product of G*m remains the same no matter where G is measured, why would it affect gravity at a distance? If in proportion to the Sun's gravity, (Gm) will still respond the same whether G is changed or not (provided m is adjusted), so the same inverse square law is not violated, and all things in orbit would still follow conical sections as before. If in proportion to any other heavenly body, the same applies. The (Gm) product hasn't changed anywhere (only its internal components of G and m are mutally adjusted).
Equivalence is conserved, but that requires somebody answer my question above (re what happens to m in F = ma ?), which nobody has, or just ignored it.