Precise Determination of Period of a Torsion Pendulum in Measurement of Gravitational Constant
LUO Jie1, WANG Dian-Hong1, LIU Qi2, SHAO Cheng-Gang2
1Faculty of Mechanical and Electronic Engineering, China University of Geosciences, Wuhan 430074
2Department of Physics, Huazhong University of Science and Technology, Wuhan 430074
Precise Determination of Period of a Torsion Pendulum in Measurement of Gravitational Constant
LUO Jie1;WANG Dian-Hong1;LIU Qi2;SHAO Cheng-Gang2
1Faculty of Mechanical and Electronic Engineering, China University of Geosciences, Wuhan 430074
2Department of Physics, Huazhong University of Science and Technology, Wuhan 430074
Abstract: The period of a torsion pendulum would vary under the disturbances of environmental noise factors. In order to subtract the period of the pendulum from external influence, we employ the correlation method to determine the period with a high precision. Theoretical analysis shows that the relative precision is improved to be proportional to 1/m3/2 with the number of the period m, compared with the conventional statistical mean that is proportional to 1/m1/2, which is significant for the determination of gravitational constant with the swing time method.
LUO Jie;WANG Dian-Hong;LIU Qi;SHAO Cheng-Gang. Precise Determination of Period of a Torsion Pendulum in Measurement of Gravitational Constant[J]. 中国物理快报, 2005, 22(9): 2169-2172.
LUO Jie, WANG Dian-Hong, LIU Qi, SHAO Cheng-Gang. Precise Determination of Period of a Torsion Pendulum in Measurement of Gravitational Constant. Chin. Phys. Lett., 2005, 22(9): 2169-2172.