The Galileo satellite constellation and modifications to the inverse-square law for Gravitation

TL;DR

This paper investigates how modifications to Newtonian gravity, inspired by theories like ungravity and $f(R)$ models, could be tested using Galileo satellite data to measure potential deviations from the inverse-square law.

Contribution

It proposes a method to detect power-law corrections to gravity using satellite-based observables, linking theoretical models with practical measurement techniques.

Findings

Potential to constrain parameters of modified gravity theories

Feasibility of using Galileo satellite data for testing gravity laws

Insights into deviations from Newtonian potential

Abstract

We consider the impact of a power-law correction to the Newtonian potential, inspired by ungravity or $f(R)$ extensions of the Standard Model, and draw conclusions on the possibility of measuring the relevant parameters through observables made available by the Galileo satellite positioning system.