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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 |
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Cite this article: |
LUO Jie, SHAO Cheng-Gang, WANG Dian-Hong et al 2012 Chin. Phys. Lett. 29 060401 |
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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.
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Received: 21 January 2012
Published: 31 May 2012
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PACS: |
04.80.Cc
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(Experimental tests of gravitational theories)
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