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Measurements of Gravitational Attractions at small Accelerations

Bartel, W. ; Elvers, C. W. ; Jönsson, L. LU ; Kempf, G. ; Krause, H. ; Loehr, B. ; Lohrmann, E. ; Meyer, H. ; Steffen, P. and Wuensch, E. (2025) In Classical and Quantum Gravity 42(4).
Abstract

Gravitational interactions were studied by measuring the influence of small external field masses on a microwave resonator. It consisted of two spherical mirrors, which acted as independent pendulums individually suspended by strings. Two identical field masses were moved along the axis of the resonator symmetrically and periodically between a near and a far position. Their gravitational interaction altered the distance between the mirrors, changing the resonance frequency, which was measured and found consistent with Newton’s law of gravity. The acceleration of a single mirror caused by the two field masses at the closest position varied from 5.4⋅10−12ms−2 to 259⋅10−12 ms−2.

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author
; ; ; ; ; ; ; ; and
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
dark matter, fit of inverse Lorenz curve, microwave Fabry-Perot interferometer, Newton’s law of gravity, small gravitational acceleration
in
Classical and Quantum Gravity
volume
42
issue
4
article number
045013
publisher
IOP Publishing
external identifiers
  • scopus:85217049723
ISSN
0264-9381
DOI
10.1088/1361-6382/ada7bb
language
English
LU publication?
yes
id
6a793362-4afe-478b-817b-50d5efb1aad0
date added to LUP
2025-03-21 11:00:20
date last changed
2025-04-04 15:29:50
@article{6a793362-4afe-478b-817b-50d5efb1aad0,
  abstract     = {{<p>Gravitational interactions were studied by measuring the influence of small external field masses on a microwave resonator. It consisted of two spherical mirrors, which acted as independent pendulums individually suspended by strings. Two identical field masses were moved along the axis of the resonator symmetrically and periodically between a near and a far position. Their gravitational interaction altered the distance between the mirrors, changing the resonance frequency, which was measured and found consistent with Newton’s law of gravity. The acceleration of a single mirror caused by the two field masses at the closest position varied from 5.4⋅10<sup>−12</sup>ms<sup>−2</sup> to 259⋅10<sup>−12</sup> ms<sup>−2</sup>.</p>}},
  author       = {{Bartel, W. and Elvers, C. W. and Jönsson, L. and Kempf, G. and Krause, H. and Loehr, B. and Lohrmann, E. and Meyer, H. and Steffen, P. and Wuensch, E.}},
  issn         = {{0264-9381}},
  keywords     = {{dark matter; fit of inverse Lorenz curve; microwave Fabry-Perot interferometer; Newton’s law of gravity; small gravitational acceleration}},
  language     = {{eng}},
  number       = {{4}},
  publisher    = {{IOP Publishing}},
  series       = {{Classical and Quantum Gravity}},
  title        = {{Measurements of Gravitational Attractions at small Accelerations}},
  url          = {{http://dx.doi.org/10.1088/1361-6382/ada7bb}},
  doi          = {{10.1088/1361-6382/ada7bb}},
  volume       = {{42}},
  year         = {{2025}},
}