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

¹ Géoazur, Université Côte d’Azur, Observatoire de la Côte d’Azur, CNRS, 250 Av. A. Einstein, 06250 Valbonne, France
e-mail: vincenzo.mariani@geoazur.unice.fr
² Université Côte d’Azur, Observatoire de la Côte d’Azur, CNRS, Artemis, bd. de l’Observatoire, 06304 Nice, France
³ Bureau des Affaires Spatiales, 2 rue du Gabian, 98000 Monaco
⁴ IMCCE, Observatoire de Paris, PSL University, CNRS, 77 Av. Denfert-Rochereau, 75014 Paris, France

Received: 27 September 2023
Accepted: 29 November 2023

Abstract

Aims. We are testing the Brans–Dicke class of scalar tensor theories with planetary ephemerides.

Methods. 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).

Results. 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.

Conclusions. We observe a shift in the confidence levels of the posteriors obtained. We interpret this shift as marginal evidence 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, and 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.