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Influence of the Earth's rotation on measurement of gravitational constant G with the time-of-swing method |
| Jie Luo(罗杰)1, Tao Dong(董涛)1, Cheng-Gang Shao(邵成刚)2, Yu-Jie Tan(谈玉杰)2, Hui-Jie Zhang(张惠捷)1 |
1 School of Mechanical Engineering and Electronic Information, China University of Geosciences, Wuhan 430074, China;
2 MOE Key Laboratory of Fundamental Physical Quantities Measurement&Hubei Key Laboratory of Gravitation and Quantum Physics, PGMF and School of Physics, Huazhong University of Science and Technology, Wuhan 430074, China |
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Abstract In the measurement of the Newtonian gravitational constant G with the time-of-swing method, the influence of the Earth's rotation has been roughly estimated before, which is far beyond the current experimental precision. Here, we present a more complete theoretical modeling and assessment process. To figure out this effect, we use the relativistic Lagrangian expression to derive the motion equations of the torsion pendulum. With the correlation method and typical parameters, we estimate that the influence of the Earth's rotation on G measurement is far less than 1 ppm, which may need to be considered in the future high-accuracy experiments of determining the gravitational constant G.
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Received: 15 November 2019
Revised: 13 December 2019
Accepted manuscript online:
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PACS:
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04.80.Cc
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(Experimental tests of gravitational theories)
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| Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 11575160 and 11805074) and the Postdoctoral Science Foundation of China (Grant Nos. 2017M620308 and 2018T110750). |
Corresponding Authors:
Yu-Jie Tan, Hui-Jie Zhang
E-mail: yjtan@hust.edu.cn;hj_zhang@cug.edu.cn
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Cite this article:
Jie Luo(罗杰), Tao Dong(董涛), Cheng-Gang Shao(邵成刚), Yu-Jie Tan(谈玉杰), Hui-Jie Zhang(张惠捷) Influence of the Earth's rotation on measurement of gravitational constant G with the time-of-swing method 2020 Chin. Phys. B 29 020401
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