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Does G with r vary because of Mach's Principle?
A Solar System Test of Mach's Principle with Gravimetric Data
http://arxiv.org/abs/gr-qc/0405094
A Solar System Test of Mach's Principle with Gravimetric Data
The result?We present a new test for a possible Mach-Sciama dependence of the Gravitational constant G. According to Ernst Mach (1838-1916), the gravitational interaction depends on the distribution of masses in the universe. A corresponding hypothesis of Sciama (1953) on the gravitational constant, [itex]c^2/G = \sum m_i/r_i[/itex], can be tested since the elliptic Earth orbit should then cause minute annual variations in G. The test is performed by analyzing the gravity signals of a network of superconducting gravimeters (SG) which reach a precision of [itex]10^{-10} m/s^2[/itex].
Unless, that is, M also varies with G such that GM is constant...After reducing the signal by modelling tidal, meteorologic and geophysical effects, no significant evidence for the above dependence is found
http://arxiv.org/abs/gr-qc/0405094
Garththis variation (in G) is normally ’hidden’ by the compensating change in atomic masses that causes GM to be constant.
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