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arXiv · 2405.08541

A Determination of the Local Gravitational Acceleration for the Tsinghua Tabletop Kibble Balance

Weibo Liu·Nanjia Li·Yongchao Ma·Ruo Hu·Shuqing Wu·Wei Zhao·Songling Huang·Shisong Li
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Abstract

The Kibble balance requires a measurement of the local gravitational acceleration, $g$, with a typical relative measurement uncertainty of $10^{-9}$. In this paper, the determination of $g$ for the Tsinghua tabletop Kibble balance is presented. A polynomial fitting method is proposed for blind transfers of the absolute gravitational acceleration using relative gravimeters, showing agreement with the value obtained by the tide correction within a few parts in $10^{9}$. Horizontal and vertical gravity gradients are extracted by mapping the gravity distribution at different heights. The self-attraction effect of major components in the experiment, as well as some time-varying systematic effects, are modeled. The final determination of the gravitational acceleration at the mass position, with an uncertainty of 5.4 $\mu$Gal ($k=2$), is achieved for the Tsinghua tabletop Kibble balance experiment.

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Weibo Liu, Nanjia Li, Yongchao Ma, Ruo Hu, Shuqing Wu, Wei Zhao, Songling Huang, Shisong Li. 2024-05-14. A Determination of the Local Gravitational Acceleration for the Tsinghua Tabletop Kibble Balance. https://arxiv.org/abs/2405.08541

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