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

2024/05/14 by Weibo Liu, Nanjia Li, Liu, Weibo +13 · 2 citations
Earth and Planetary Sciences · #FOS: Physical sciences #Geophysics and Gravity Measurements #Instrumentation and Detectors (physics.ins-det)

paper · pdf · doi:10.48550/arxiv.2405.08541

openalex publication_date 2024/05/14 · openalex created_date 2024/05/16 · openalex updated_date 2026/07/28

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 109. 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 μGal (k=2), is achieved for the Tsinghua tabletop Kibble balance experiment.

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