Linear and Non Linear Effects on the Newtonian Gravitational Constant as deduced from the Torsion Balance

TL;DR

This paper investigates the linear and nonlinear dynamics affecting the torsion balance used to measure the Newtonian gravitational constant, highlighting a nonlinear effect that influences oscillation periods and could impact measurement accuracy.

Contribution

It introduces a detailed analysis of nonlinear effects in torsion balance experiments, providing new insights into factors affecting the measurement of the gravitational constant.

Findings

Identification of a nonlinear effect altering oscillation periods

Enhanced understanding of factors influencing measurement uncertainty

Potential improvements in experimental accuracy

Abstract

The Newtonian gravitational constant has still 150 parts per million of uncertainty. This paper examines the linear and nonlinear equations governing the rotational dynamics of the torsion gravitational balance. A nonlinear effect modifying the oscillation period of the torsion gravitational balance is carefully explored.