A Determination of the Local Gravitational Acceleration for the Tsinghua Tabletop Kibble Balance
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866916251166572544 |
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| author | Liu, Weibo Li, Nanjia Ma, Yongchao Hu, Ruo Wu, Shuqing Zhao, Wei Huang, Songling Li, Shisong |
| author_facet | Liu, Weibo Li, Nanjia Ma, Yongchao Hu, Ruo Wu, Shuqing Zhao, Wei Huang, Songling Li, Shisong |
| contents | 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 $μ$Gal ($k=2$), is achieved for the Tsinghua tabletop Kibble balance experiment. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_08541 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A Determination of the Local Gravitational Acceleration for the Tsinghua Tabletop Kibble Balance Liu, Weibo Li, Nanjia Ma, Yongchao Hu, Ruo Wu, Shuqing Zhao, Wei Huang, Songling Li, Shisong Instrumentation and Detectors 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 $μ$Gal ($k=2$), is achieved for the Tsinghua tabletop Kibble balance experiment. |
| title | A Determination of the Local Gravitational Acceleration for the Tsinghua Tabletop Kibble Balance |
| topic | Instrumentation and Detectors |
| url | https://arxiv.org/abs/2405.08541 |