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Influence of the environmental noise on determining the period of a torsion pendulum |
Luo Jie (罗杰)a, Tian Yuan (田苑)a, Shao Cheng-Gang (邵成刚)b, Wang Dian-Hong (王典洪)a |
a Faculty of Mechanical and Electronic Information, China University of Geosciences, Wuhan 430074, China;
b School of Physics, Huazhong University of Science and Technology, Wuhan 430074, China |
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Abstract The environmental noise can restrict the accuracy of period estimation since the torsion pendulum is sensitive to weak forces. Two typical models for the environmental noise are proposed to make an evaluation. Generally, the stationary environmental noise is modeled as a white noise, and contributes to the period uncertainty as a function of the initial amplitude, the quality factor, the variance of noise and the time length. As to a sudden sharp disturbance acting on the pendulum, a narrow impulse model is constructed. It results in a sharp jump in the phase difference, which can be excluded with the 3σ criterion for a correction. An experimental data analysis for the measurement of the gravitational constant G with the time-of-swing method shows that the period uncertainty due to the environmental noise is about one and a half times the fundamental thermal noise limit. Though this result is dependent on the ambient environment, the analysis is instructive to improve the measurement accuracy of experiments.
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Received: 18 September 2014
Revised: 12 October 2014
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 Basic Research Program of China (Grant No. 2010CB832800), the National Natural Science Foundation of China (Grant Nos. 11175160 and 11275075), and the Natural Science Foundation of Key Projects of Hubei Province, China (Grant No. 2013CFA045). |
Corresponding Authors:
Shao Cheng-Gang
E-mail: cgshao@mail.hust.edu.cn
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Cite this article:
Luo Jie (罗杰), Tian Yuan (田苑), Shao Cheng-Gang (邵成刚), Wang Dian-Hong (王典洪) Influence of the environmental noise on determining the period of a torsion pendulum 2015 Chin. Phys. B 24 030401
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[1] |
Gillies G T and Ritter R C 1993 Rev. Sci. Instrum. 64 283
|
[2] |
Heyl P R 1930 J. Res. Natl. Bur. Stand. 5 1243
|
[3] |
Heyl P R and Chrzanovski P 1942 J. Res. Natl. Bur. Stand. 29 1
|
[4] |
Luther G G and Towler W R 1982 Phys. Rev. Lett. 48 121
|
[5] |
Karagioz O V and Izmailov V P 1996 Measurement Techniques 39 979
|
[6] |
Bagley C H and Luther G G 1997 Phys. Rev. Lett. 78 3047
|
[7] |
Luo J, Hu Z K, Fu X H and Fan S H 1998 Phys. Rev. D 59 042001
|
[8] |
Newman R D and Bantel M K 1999 Meas. Sci. Technol. 10 445
|
[9] |
Saulson P R 1990 Phys. Rev. D 42 2437
|
[10] |
González G I and Saulson P R 1995 Phys. Lett. A 201 12
|
[11] |
Adelberger E G, Gundlach J H, Heckel B R, Hoedl S and Schlamminger S 2009 Progress in Particle and Nuclear Physics 62 102
|
[12] |
Chen Y T and Cook A 1990 Class. Quantum Grav. 7 1225
|
[13] |
Luo J, Shao C G, Tian Y and Wang D H 2013 Phys. Lett. A 377 1397
|
[14] |
Luo J, Shao C G and Wang D H 2009 Class. Quantum Grav. 26 195005
|
[15] |
Li Q, Liu L X, Tu L C, Shao C G and Luo J 2010 Chin. Phys. Lett. 27 070401
|
[16] |
Luo J, Shao C G, Wang D H and Tian Y 2012 Chin. Phys. Lett. 29 060401
|
[17] |
Fan X D, Liu Q, Liu L X, Milyukov V and Luo J 2008 Phys. Lett. A 372 547
|
[18] |
Milyukov V K, Luo J, Tao C and Mironov A P 2008 Gravitation and Cosmology 14 368
|
[19] |
Milyukov V 2010 9th Asia-Pacific International Conference on Gravitation and Astrophysics, June 29-July 02, 2009, Wuhan, China, pp. 3-15
|
[20] |
Goldblum C E, Ritter R C and Gillies G T 1988 Rev. Sci. Instrum. 59 778
|
[21] |
Snyder J J 1980 Appl. Opt. 19 1224
|
[22] |
Hu Z K and Luo J 1999 Rev. Sci. Instrum. 70 4412
|
[23] |
Shao C G, Luan E J and Luo J 2003 Rev. Sci. Instrum. 74 2849
|
[24] |
Tian Y L, Tu Y and Shao C G 2004 Rev. Sci. Instrum. 75 1971
|
[25] |
Luo J and Wang D H 2008 Rev. Sci. Instrum. 79 094705
|
[26] |
Tu L C, Li Q, Wang Q L, Shao C G, Yang S Q, Liu L X, Liu Q and Luo J 2010 Phys. Rev. D 82 022001
|
[27] |
Landau L D and Lifshitz E M 1980 Statistical Physics (Part 1) (3rd edn.) (Oxford: Pergamon)
|
[28] |
Hu Z K, Luo J and Hsu H 1999 Phys. Lett. A 264 112
|
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