[grqc/0610028] A Solar System Test of Mach's Principle with Gravimetric Data
Authors: 
Alexander Unzicker, Karl Fabian 
Abstract: 
We present a new test for a possible MachSciama dependence of the
Gravitational constant G. According to Ernst Mach (18381916), the
gravitational interaction depends on the distribution of masses in the
universe. A corresponding hypothesis of Sciama (1953) on the gravitational
constant, $c^2/G = \sum m_i/r_i$, 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 $10^{10} m/s^2$. After reducing the signal by
modelling tidal, meteorologic and geophysical effects, no significant evidence
for the above dependence is found. 

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Garth Antony Barber
 Posts: 59
 Joined: July 19 2005
 Affiliation: Published independent
Post
by Garth Antony Barber » October 17 2006
Does G vary with r because of Mach's principle?
Their result was that no significant evidence for the dependence was found.
Unless, that is, M also varies with G such that GM is constant.....
http://arxiv.org/abs/grqc/0405094 this variation (in G) is normally ’hidden’ by the compensating change in atomic masses that causes GM to be constant.
Garth