Influence of the colored noise on determining the period of a torsion pendulum  

作　　者：罗杰 占文泽 巫伟皇 邵成刚 王典洪 

机构地区：[1]School of Mechanical Engineering and Electronic Information, China University of Geosciences [2]MOE Key Laboratory of Fundamental Physical Quantities Measurement, School of Physics,Huazhong University of Science and Technology

出　　处：《Chinese Physics B》2016年第8期81-85,共5页中国物理B（英文版）

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

摘　　要：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 ？t/（1/λ） where ？t 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 ？t gradually shortens, the uncertainty of the period becomes smaller, and further when the ratio ？t/（1/λ） is less than 1, the uncertainty remains substantially unchanged.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 ？t/（1/λ） where ？t 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 ？t gradually shortens, the uncertainty of the period becomes smaller, and further when the ratio ？t/（1/λ） is less than 1, the uncertainty remains substantially unchanged.

关 键 词：torsion pendulum Gaussian colored noise UNCERTAINTY correlation time 

分 类 号：O314[理学—一般力学与力学基础]