Influence of the Earth's rotation on measurement of gravitational constant G with the time-of-swing method

doi:10.1088/1674-1056/ab6584

中国物理B ›› 2020, Vol. 29 ›› Issue (2): 20401-020401.doi: 10.1088/1674-1056/ab6584

• SPECIAL TOPIC—Recent advances in thermoelectric materials and devices • 上一篇下一篇

Influence of the Earth's rotation on measurement of gravitational constant G with the time-of-swing method

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)

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

收稿日期:2019-11-15 修回日期:2019-12-13 出版日期:2020-02-05 发布日期:2020-02-05
通讯作者: Yu-Jie Tan, Hui-Jie Zhang E-mail:yjtan@hust.edu.cn;hj_zhang@cug.edu.cn
基金资助:
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).

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

Received:2019-11-15 Revised:2019-12-13 Online:2020-02-05 Published:2020-02-05
Contact: Yu-Jie Tan, Hui-Jie Zhang E-mail:yjtan@hust.edu.cn;hj_zhang@cug.edu.cn
Supported by:
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).

摘要/Abstract

摘要： 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.

关键词: the Earth's rotation, relativistic Lagrangian, G measurement, time-of-swing method

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.

Key words: the Earth's rotation, relativistic Lagrangian, G measurement, time-of-swing method

中图分类号: (Experimental tests of gravitational theories)

04.80.Cc

罗杰, 董涛, 邵成刚, 谈玉杰, 张惠捷. Influence of the Earth's rotation on measurement of gravitational constant G with the time-of-swing method[J]. 中国物理B, 2020, 29(2): 20401-020401.

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[J]. Chin. Phys. B, 2020, 29(2): 20401-020401.

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Influence of the Earth's rotation on measurement of gravitational constant G with the time-of-swing method

Influence of the Earth's rotation on measurement of gravitational constant G with the time-of-swing method

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