Solar System Constraints on the Dvali-Gabadadze-Porrati Braneworld Theory of Gravity

A number of proposals have been put forward to account for the observed accelerating expansion of the Universe through modifications of gravity. One specific scenario, Dvali-Gabadadze-Porrati (DGP) gravity, gives rise to a potentially observable anomaly in the solar system: all planets would exhibit a common anomalous precession, $d\ensuremath{\omega}/dt$, in excess of the prediction of general relativity. We have used the Planetary Ephemeris Program (PEP) along with planetary radar and radio tracking data to set a constraint of $|d\ensuremath{\omega}/dt{|}_{\mathrm{obs}}l0.02$ arcseconds per century on the presence of any such common precession. This sensitivity falls short of that needed to detect the estimated universal precession of $|d\ensuremath{\omega}/dt{|}_{\mathrm{DGP}}=5\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}4}$ arcseconds per century expected in the DGP scenario. We discuss the fact that ranging data between objects that orbit in a common plane cannot constrain the DGP scenario. It is only through the relative inclinations of the planetary orbital planes that solar system ranging data have sensitivity to the DGP-like effect of universal precession. In addition, we illustrate the importance of performing a numerical evaluation of the sensitivity of the data set and model to any perturbative precession.