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Chin. Phys. B, 2016, Vol. 25(8): 080401    DOI: 10.1088/1674-1056/25/8/080401
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Influence of the colored noise on determining the period of a torsion pendulum

Jie Luo(罗 杰)1, Wen-Ze Zhan(占文泽)1, Wei-Huang Wu(巫伟皇)1, Cheng-Gang Shao(邵成刚)2, Dian-Hong Wang(王典洪)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, School of Physics, Huazhong University of Science and Technology, Wuhan 430074, China
Abstract  

Based on statistical properties, two typical models are considered to calculate the uncertainties for some random noise sequences on the period extraction of a torsion pendulum, which is important and instructive in the measurement of gravitational constant G with the time-of-swing method. An expression of the uncertainty for the period measurement is obtained, which is dependent on the ratio Δt/(1/λ) where Δt is the interval of the sample time and 1/λ is the length of the correlation time. The result of processing experimental data shows that as the interval of the sample time Δt gradually shortens, the uncertainty of the period becomes smaller, and further when the ratio Δt/(1/λ) is less than 1, the uncertainty remains substantially unchanged.

Keywords:  torsion pendulum      Gaussian colored noise      uncertainty      correlation time     
Received:  24 February 2016      Published:  05 August 2016
PACS:  04.80.Cc (Experimental tests of gravitational theories)  
Fund: 

Project supported by the National Natural Science Foundation of China (Grant Nos. 11175160, 11275075, and 11575160).

Corresponding Authors:  Cheng-Gang Shao     E-mail:  cgshao@mail.hust.edu.cn

Cite this article: 

Jie Luo(罗 杰), Wen-Ze Zhan(占文泽), Wei-Huang Wu(巫伟皇), Cheng-Gang Shao(邵成刚), Dian-Hong Wang(王典洪) Influence of the colored noise on determining the period of a torsion pendulum 2016 Chin. Phys. B 25 080401

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