The Implications of the Sun’s Dragging Effect on Gravitational Experiments

Jose L. Parra proposed an interesting approach to model experimental values of G measured over the years with a periodic function related to Sun-Earth distance. The mean G(exp) value that can be read from the chart below is conjectured to be somewhere between 6.67352 and 6.67354 (in chart units) from which the value postulated in (2020-07-07 update: See the latest version Elementary Charge, Electron Rest Mass and Newtonian Constant of Gravitation.) is just +19 ppm away.

Parra, J. (2017) The Implications of the Sun’s Dragging Effect on Gravitational Experiments, International Journal of Astronomy and Astrophysics, 7, 174-184. doi: 10.4236/ijaa.2017.73014.

https://www.scirp.org/journal/paperinformation.aspx?paperid=78479

Abstract:
Experimental determinations of Newton’s gravitational constant, Big G, have increased, in number and precision, during the last 30 years. There is, however, a persistent discrepancy between various authors. After examining some literature proposing that the differences in Big G might be a function of the length of the day along the years, this paper proposes an alternative hypothesis in which the periodicity of said variation is a function of the relative periodicity of the Sun-Earth distance. The hypothesis introduced here becomes a direct application of the Kerr Metric that describes a massive rotating star. The Kerr solution for the equations of the General Theory of Relativity of Albert Einstein fits well with this relative periodicity and adequately predicts the arrangement of the ex-perimental G values reported by sixteen different laboratories. Also, the author explains how the Sun disturbs gravity on the surface of the Earth.

Plots of our Equation (1) (yellow) and some G(exp) points from 1998 to 2004 (points with horizontal error bars). The points with only vertical error bar (red diamonds) come from micro-variations of little g in Grasse, France.

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