Variance of Newtonian constant from local gravitational acceleration measurements

Abstract

We use IGETS absolute gravitational acceleration measurement data to study the gravitational acceleration variance. The relative variance of $\delta g/g$ in 22 years is less than $4\times 10^{-8}$. Since $\delta G/G⪅\delta g/g$, this implies the relative variance of Newtonian constant is less than $3\times 10^{-9}$ based on an sine-like oscillation hypothesis. This limit is at least 4 orders of magnitude better than the existing $G$ measurements. The scattered values of reported $G$ measurements coming from different experiments are most probably coming from systematic errors associated with these experiments and not due to intrinsic time variation of $G$. We also find that $\dot{G}/G<5.61\times 10^{-10}{\text{yr}}^{-1}$ based on a linear hypothesis. This is the best terrestrial result so far.

5 pages, 5 figures, accepted by PRD

References in corpus (2)

• Measurements of Newton's gravitational constant and the length of day
• Recent measurements of the gravitational constant as a function of time

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