Additional Solar System Gravitational Anomalies

This article is motivated by uncertainty in experimental determinations of the gravitational constant, G, and numerous anomalies of up to 0.5 percent in Newtonian gravitational force on bodies within the solar system. The analysis sheds new light through six natural experiments within the solar system, which draw on published reports and astrophysical databases, and involve laboratory determinations of G, orbital dynamics of the planets and the moons of Earth and Mars, and non-gravitational acceleration (NGA) of 'Oumuamua and comets. In each case, values are known for all variables in Newton's Law F=G.M.m/R-2, except for the gravitational constant, G. Analyses determine the gravitational constant's observed value, G, which-across the six settings-varies with the mass of the smaller, moving body, m, so that G = G x (0.998 + 0.00016 x ln(m)). While further work is required, this examination shows a scale-related Newtonian gravity effect at scales from benchtop to Solar System, which contributes to the understanding of symmetry in gravity and has possible implications for Newton's Laws, dark matter, and formation of structure in the universe.