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用摆动时间法测定牛顿引力常数G

Determination of the Newtonian gravitational constant G with time-of-swing method.

作者信息

Luo Jun, Liu Qi, Tu Liang-Cheng, Shao Cheng-Gang, Liu Lin-Xia, Yang Shan-Qing, Li Qing, Zhang Ya-Ting

机构信息

Department of Physics, Huazhong University of Science and Technology, Wuhan 430074, People's Republic of China.

出版信息

Phys Rev Lett. 2009 Jun 19;102(24):240801. doi: 10.1103/PhysRevLett.102.240801. Epub 2009 Jun 16.

Abstract

We present a new value of the Newtonian gravitational constant G by using the time-of-swing method. Several improvements greatly reduce the uncertainties: (1) measuring the anelasticity of the fiber directly; (2) using spherical source masses minimizes the effects of density inhomogeneity and eccentricities; (3) using a quartz block pendulum simplifies its vibration modes and minimizes the uncertainty of inertial moment; (4) setting the pendulum and source masses both in a vacuum chamber reduces the error of measuring the relative positions. By two individual experiments, we obtain G = 6.673 49(18) x 10;{-11} m;{3} kg;{-1} s;{-2} with a standard uncertainty of about 2.6 parts in 10;{5}.

摘要

我们通过摆动时间法给出了牛顿引力常数G的一个新值。多项改进措施极大地降低了不确定性:(1)直接测量纤维的滞弹性;(2)使用球形源质量使密度不均匀性和偏心率的影响最小化;(3)使用石英块摆简化了其振动模式并使惯性矩的不确定性最小化;(4)将摆和源质量都置于真空室内减少了测量相对位置的误差。通过两个独立实验,我们得到G = 6.673 49(18)×10⁻¹¹ m³ kg⁻¹ s⁻²,标准不确定性约为10⁵分之2.6。

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