Chin. Phys. Lett.  2012, Vol. 29 Issue (6): 060401    DOI: 10.1088/0256-307X/29/6/060401
GENERAL |
Influence of the Earth's Rotation on Measurement of Newton's Constant by using the Angular Acceleration Method
LUO Jie1,2, SHAO Cheng-Gang1**, WANG Dian-Hong2, TIAN Yuan2
1Department of Physics, Huazhong University of Science and Technology, Wuhan 430074
2Faculty of Mechanical and Electronic Information, China University of Geosciences, Wuhan 430074
Cite this article:   
LUO Jie, SHAO Cheng-Gang, WANG Dian-Hong et al  2012 Chin. Phys. Lett. 29 060401
Download: PDF(446KB)  
Export: BibTeX | EndNote | Reference Manager | ProCite | RefWorks
Abstract

Using the relativistic Lagrangian expression, we develop a method to derive the equation of motion of the torsion balance in a non-inertial reference frame, which is used to analyze the gravitational experiment in measuring Newton's constant G with the angular acceleration method. Our calculation shows that the Earth's rotation couples with the vibration, which should be considered in the high?accuracy experiments of determining the gravitational constant G.

Received: 21 January 2012      Published: 31 May 2012
PACS:  04.80.Cc (Experimental tests of gravitational theories)  
TRENDMD:   
URL:  
https://cpl.iphy.ac.cn/10.1088/0256-307X/29/6/060401       OR      https://cpl.iphy.ac.cn/Y2012/V29/I6/060401
Service
E-mail this article
E-mail Alert
RSS
Articles by authors
LUO Jie
SHAO Cheng-Gang
WANG Dian-Hong
TIAN Yuan

[1] The NIST Reference on Constants, Units, and Uncertainty http://physics.nist.gov/cgi-bin/cuu/Value?bg

[2] Gundlach J H and Merkowitz S M 2000 Phys. Rev. Lett. 85 2869

[3] Gundlach J H, Adelberger E G, Heckel B R and Swanson H E 1996 Phys. Rev. D 54 R1256

[4] Gundlach J H 1999 Meas. Sci. Technol. 10 454

[5] Su Y 1992 Ph. D. Dissertation (Washington DC: University of Washington)

[6] Choi K Y 2006 Ph. D. Dissertation (Washington DC: University of Washington)

[7] Luo J, Tu L C, Hu Z K and Luan E J 2003 Phys. Rev. Lett. 90 081801

[8] Luo J, Liu Q, Tu L C, Shao C G, Liu L X, Yang S Q and Zhang Y T 2009 Phys. Rev. Lett. 102 240801

[9] Tu L C, Guan S G, Luo J, Shao C G and Liu L X 2007 Phys. Rev. Lett. 98 201101

[10] Yang S Q, Zhan B F, Wang Q L, Shao C G, Tu L C, Tan W H and Luo J 2012 Phys. Rev. Lett. 108 081101

Related articles from Frontiers Journals
[1] Ke Zhang, Min-Kang Zhou, Yuan Cheng, Le-Le Chen, Qin Luo, Wen-Jie Xu, Lu-Shuai Cao, Xiao-Chun Duan, Zhong-Kun Hu. Testing the Universality of Free Fall by Comparing the Atoms in Different Hyperfine States with Bragg Diffraction[J]. Chin. Phys. Lett., 2020, 37(4): 060401
[2] Feng-Tian Han, Tian-Yi Liu, Xiao-Xia He, Qiu-Ping Wu. Design and Evaluation of a Differential Accelerometer for Drop-Tower Equivalence Principle Test with Rotating Masses[J]. Chin. Phys. Lett., 2017, 34(10): 060401
[3] HAN Feng-Tian, WU Qiu-Ping, ZHOU Ze-Bing, ZHANG Yuan-Zhong. Proposed Space Test of the New Equivalence Principle with Rotating Extended Bodies[J]. Chin. Phys. Lett., 2014, 31(11): 060401
[4] Bumned Soodchomshom. Pseudo Spin Torque Induced by Strain Field of Dirac Fermions in Graphene[J]. Chin. Phys. Lett., 2013, 30(12): 060401
[5] HU Zhong-Kun, KE Yi, DENG Xiao-Bing, ZHOU Ze-Bing, and LUO Jun. Proposed Test of the Equivalence Principle with Rotating Cold Polar Molecules[J]. Chin. Phys. Lett., 2012, 29(8): 060401
[6] ZHU Yin . Measurement of the Speed of Gravity[J]. Chin. Phys. Lett., 2011, 28(7): 060401
[7] LI Qing, LIU Lin-Xia, TU Liang-Cheng, SHAO Cheng-Gang, LUO Jun. Effect of Local Magnetic Field in G Measurement with Time-of-Swing Method[J]. Chin. Phys. Lett., 2010, 27(7): 060401
[8] LIU Lin-Xia, GUAN Sheng-Guo, LIU Qi, ZHANG Ya-Ting, SHAO Cheng-Gang, LUO Jun. Precision Measurement of Distribution of Film Thickness on Pendulum for Experiment of G[J]. Chin. Phys. Lett., 2009, 26(9): 060401
[9] LIU Lin-Xia, SHAO Cheng-Gang, TU Liang-Cheng, LUO Jun. Measurement of Density Inhomogeneity for Source Masses in Time-of-Swing Method of Measuring[J]. Chin. Phys. Lett., 2009, 26(1): 060401
[10] Sanjay Oli. String Cosmological Models in Five-Dimensional Spacetimes[J]. Chin. Phys. Lett., 2009, 26(1): 060401
[11] LIU Lin-Xia, LIU Qi, SHAO Cheng-Gang, ZHANG Ya-Ting, LUO Jun, Vadim Milyukov. Measurement of Density Inhomogeneity for Glass Pendulum[J]. Chin. Phys. Lett., 2008, 25(12): 060401
[12] LIU Lin-Xia, SHAO Cheng-Gang, LUO Jun. Gravitational Faraday Rotation of the Earth and Its Possible Test[J]. Chin. Phys. Lett., 2005, 22(12): 060401
[13] LUO Jie, WANG Dian-Hong, LIU Qi, SHAO Cheng-Gang. Precise Determination of Period of a Torsion Pendulum in Measurement of Gravitational Constant[J]. Chin. Phys. Lett., 2005, 22(9): 060401
[14] YUE Ying, FAN Shu-Hua, LIU Lin-Xia, LUO Jun. Dynamical Behaviour of a Modulated Torsion Pendulum in Test of Weak Equivalence Principle[J]. Chin. Phys. Lett., 2005, 22(8): 060401
[15] ZHOU Ze-Bing, WANG Shi-Fang, LUO Jun. Time-Domain Smoothing Processing for Equivalence-Principle Test Using Free-Fall Method[J]. Chin. Phys. Lett., 2005, 22(7): 060401
Viewed
Full text


Abstract