# 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.

## Key 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.