Muller & Biskupek 2007
https://iopscience.iop.org/article/10.1088/0264-9381/24/17/017/meta
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I proposed a theory where I derived an epoch-dependent Law of Gravitation. This and other measurements would collide with my theory.
My claim is that these analyses suffer from Confirmation Bias and are incorrect.
In simple terms, the Moon is receding with 4 cm/year and has an average orbit radius of 384,400,000 meters.
This means that
1/r*dr/dt=1.04E-10/yr
My theory predicts 1/G*dG/dt=c/R0=H0=0.74E-10/yr
where R0 is the 4D radius (13.58 GLY) of the Universe and H0=Hubble Constant of 72 km/s/mpc.
Leaving 41% of the observed receding velocity to be explained by tidal interactions, frame dragging and the use of incorrect Laws of Gravitation and Dynamics.
The Lunar Ranging results are equivalent to saying that we know the dynamics and can explain receding velocity with a 1:1000 precision. The effect of a variable G is supposed to be below 2E-13/year.
So, I think it is ludicrous and no conclusion about epoch-dependent G can be derived from this paper.
Later I will explain why this other article is wrong:
Constraining a possible variation of G with Type Ia supernovae
Jeremy Mould & Syed A. Uddin
https://arxiv.org/pdf/1402.1534.pdf