Measurement of the Newtonian gravitational constant based on the principle of free fall

Wang, Yong; Ke, XiaoPing; Zhang, Weimin; Xu, Haiming; Wang, HuBiao; Chai, Hua

doi:10.1007/s11434-009-0091-9

Cited by 1 publication

(1 citation statement)

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“…The most classical method to measure G is based on the torsion balance [1][2][3][4][5][6][7], and later the developed methods include the precision balance method [8,9], the double simple pendulum interference method [10], the free-fall method [11,12], the atomic interference method [13][14][15][16][17][18][19] and the measurement method using the superconducting gravimeter [20], etc. This * Author to whom any correspondence should be addressed.…”

Section: Introductionmentioning

confidence: 99%

A proposal for designing the source mass to accurately determine G with atom interferometry

Zhao¹,

Tan²,

Wang³

et al. 2021

Metrologia

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The Newtonian gravitational constant G has proved to be one of the most difficult constants to measure in physics. The improvement of measuring G with the atomic interferometry method is significantly limited by the positioning accuracy of the atom clouds and source masses, and the measurement accuracy of the atomic velocity. In this article, we propose an idea for designing the source masses to determine G with atom interferometry, in which a nearly uniform gravitational field in the motion region of the atom clouds is constructed. This design can greatly reduce the influence of the uncertainty of the atomic initial position and velocity on the precision of G measurement, since these atomic initial conditions affect the interferometer phase shift by coupling themselves with the gravitational gradient. Finally, we present a scheme for measuring G with a relative standard uncertainty of 27 parts per million.

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