Bayesian test of Brans-Dicke theories with planetary ephemerides: Investigating the strong equivalence principle

TL;DR

This study applies Bayesian methods to planetary ephemerides to test Brans-Dicke theories, focusing on the strong equivalence principle, and finds marginal evidence for SEP violation affecting parameter constraints.

Contribution

It introduces a Bayesian approach to test Brans-Dicke theories with planetary data, emphasizing SEP violation effects and improving parameter constraints.

Findings

Marginal evidence for SEP violation in planetary ephemerides.

Constraints on Brans-Dicke parameter are approaching those from Cassini and pulsar data.

Future spacecraft data will further tighten these constraints.

Abstract

Context: We are testing the Brans-Dicke class of scalar tensor theories with planetary ephemerides. Aims: In this work, we apply our recently proposed Bayesian methodology to the Brans-Dicke case, with an emphasis on the issue of the strong equivalence principle (SEP). Methods: We use an MCMC approach coupled to full consistent planetary ephemeris construction (from point-mass body integration to observational fit) and compare the posterior distributions obtained with and without the introduction of potential violations of the SEP. Results: We observe a shift in the confidence levels of the posteriors obtained. We interpret this shift as marginal evidence suggesting that the effect of violation of the SEP can no longer be assumed to be negligible in planetary ephemerides with the current data. We also notably report that the constraint on the Brans-Dicke parameter with planetary ephemerides is getting closer to the figure reported from the Cassini spacecraft alone, but also to the constraints from pulsars. We anticipate that data from future spacecraft missions, such as BepiColombo, will significantly enhance the constraints based on planetary ephemerides.