https://doi.org/10.1140/epjc/s10052-022-10086-6
Regular Article - Theoretical Physics
Dynamical measurements of deviations from Newton’s 
law
1
Instituto de Física Corpuscular, CSIC-Universitat de València, 46980, Paterna, Spain
2
Departamento de Física Teórica, Facultad de Física, Universitat de València, 45100, Burjassot, Spain
Received:
4
July
2021
Accepted:
2
February
2022
Published online:
18
February
2022
In Ref. Donini and Marimón (Eur Phys J C 76:696, arXiv:1609.05654, 2016), an experimental setup aiming at the measurement of deviations from the Newtonian distance dependence of gravitational interactions was proposed. The theoretical idea behind this setup was to study the trajectories of a “Satellite” with a mass 
g around a “Planet” with mass ![$$m_\mathrm{P} \in [10^{-7},10^{-5} ]$$](/articles/epjc/abs/2022/02/10052_2022_Article_10086/10052_2022_Article_10086_tex_eq5.png)
g, looking for precession of the orbit. The observation of such feature induced by gravitational interactions would be an unambiguous indication of a gravitational potential with terms different from 1/r and, thus, a powerful tool to detect deviations from Newton’s law. In this paper we optimize the proposed setup in order to achieve maximal sensitivity to look for such Beyond-Newtonian corrections. We then study in detail possible background sources that could induce precession and quantify their impact on the achievable sensitivity. We finally conclude that a dynamical measurement of deviations from newtonianity can test Yukawa-like corrections to the 1/r potential with strength as low as 
for distances as small as 
m.
© The Author(s) 2022
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