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• W4382241189 abstract "The metrological characteristics of source masses are essential in the determination of the Newtonian gravitational constant $G$. This paper presents an air-bearing method to check the density uniformity of spherical source masses by measuring the mass center offset from the geometric center. With detailed error analysis, we find that the eccentricity measurement accuracy using this method has the potential to be better than $0.1text{ensuremath{mu}}text{m}$, and the uncertainty of actual experimental measurement is mainly limited by the nonsphericity of spheres. Two kinds of spherical source masses that are directly used in measurements of $G$ are measured. The eccentricity of the 57-mm-diameter spheres used in the time-of-swing method is determined to be less than $0.3text{ensuremath{mu}}text{m}$ and that of the 127-mm-diameter spheres used in the angular acceleration feedback method is less than $1.3text{ensuremath{mu}}text{m}$. Two density distribution models are discussed to estimate the uncertainty in the value of $G$ in terms of the density uniformity of source masses." @default.
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• W4382241189 date "2023-06-27" @default.
• W4382241189 modified "2023-10-03" @default.
• W4382241189 title "Determining the Eccentricity of Source Masses in the Measurement of Newtonian Gravitational Constant Using an Air-Bearing Method" @default.
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• W4382241189 doi "https://doi.org/10.1103/physrevapplied.19.064075" @default.
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