@Article{Baeza-Ballesteros_etal2022, author="Baeza-Ballesteros, J. and Donini, A. and Nadal-Gisbert, S.", title="Dynamical measurements of deviations from Newton{\textquoteright}s 1/r(2) law", journal="European Physical Journal C", year="2022", publisher="Springer", volume="82", number="2", pages="154--30pp", abstract="In Ref. Donini and Marimon (Eur Phys J C 76:696, arXiv:1609.05654, 2016), an experimental setup aiming at the measurement of deviations from the Newtonian 1/r(2) distance dependence of gravitational interactions was proposed. The theoretical idea behind this setup was to study the trajectories of a {\textquoteleft}{\textquoteleft}Satellite{\textquoteright}{\textquoteright} with a mass m(S) similar to O(10(-9)) g around a {\textquoteleft}{\textquoteleft}Planet{\textquoteright}{\textquoteright} with mass m(P) is an element of [10(-7), 10(-5)] 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{\textquoteright}s 1/r(2) 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 alpha similar to 10(-2) for distances as small as lambda similar to 10 $\mu$m.", optnote="WOS:000757843300001", optnote="exported from refbase (https://references.ific.uv.es/refbase/show.php?record=5147), last updated on Thu, 10 Mar 2022 08:55:19 +0000", issn="1434-6044", doi="10.1140/epjc/s10052-022-10086-6", opturl="https://arxiv.org/abs/2106.08611", opturl="https://doi.org/10.1140/epjc/s10052-022-10086-6", language="English" }