论文标题
实验的静电反馈设计，以测量$ g $
Design of electrostatic feedback for an experiment to measure $G$
论文作者
论文摘要
仪器中心的扭转摆在测量引力常数的$ g $中，$ g $在International des Poids et-Mesures（BIPM）用于用两种方法来测量源和测试量组件之间的重力扭矩。在Cavendish方法中，钟摆自由移动。在静电效率方法中，通过施加相等的静电扭矩和相反的静电角度，将摆保持恒定角度。静电扭矩是由伺服器产生的。本文介绍了国家标准技术研究所的设计和实施。我们使用带有卡尔曼过滤器的数字伺服循环来实现与开放循环中相当的测量性能。我们表明，通过使用三个电极进行反馈控制的实验，可以实现小测量不确定性。
The torsion pendulum at the heart of the apparatus to measure the gravitational constant, $G$ at the Bureau International des Poids et Mesures (BIPM) is used to measure the gravitational torque between source and test-mass assemblies with two methods. In the Cavendish method, the pendulum moves freely. In the electrostatic-servo method, the pendulum is maintained at a constant angle by applying an electrostatic torque equal and opposite to any gravitational torque on the pendulum. The electrostatic torque is generated by a servo. This article describes the design and implementation of this servo at the National Institute of Standards and Technology. We use a digital servo loop with a Kalman filter to achieve measurement performance comparable to the one in an open loop. We show that it is possible to achieve small measurement uncertainty with an experiment that uses three electrodes for feedback control.
