Title: Testing fundamental physics in the solar system
Description: We use observations of solar system bodies to derive constraints on departures from General Relativity (GR). We also characterize the initial science data from the Apache Point Observatory Lunar Laser-ranging Operation (APOLLO). The millimeter-precision APOLLO data will enable an order-of-magnitude improvement in several tests of gravitational physics. This work is motivated by the current dark energy crisis. Multiple independent astrophysical observations suggest that the Universe is accelerating in its expansion. GR with Einstein's cosmological constant can give rise to acceleration, but no viable theory can compute the observed dark energy density from first principles. A plausible alternative to dark energy is that GR breaks down on cosmological scales. There is no shortage of speculative gravity theories that could replace GR. Many of these predict observable deviations from GR in the solar system. We look for the evidence of such deviations in two ways: (1) searching for Lorentz symmetry violation using Lunar Laser Ranging (LLR) data and (2) searching for anomalous perihelion precession using planetary range and Doppler measurements. Our constraints on Lorentz symmetry violation are presented in the Standard-Model Extension (SME) framework. No evidence for Lorentz violation is seen at the level of 10 -6 to 10 -11 in the six dimensionless SME parameters to which LLR is sensitive.

We also show that any universal anomalous precession of the planetary perihelia must be less than 0.02 arcseconds per century. This constraint has direct relevance to the Dvali-Gabadadze-Porrati (DGP) theory of braneworld gravity, which can explain the accelerating Universe without a cosmological constant. DGP theory posits that gravity weakens above a cross-over scale r c = 5 Gpc. As a result, DGP predicts a uniform anomalous perihelion precession rate for the planets of dω/dt = 5 × 10 -4 arcseconds per century. Our precession constraint requires r c > 0.13 Gpc, a factor of 40 away from the DGP prediction. Finally, we characterize the first 22 months of science data from APOLLO, a new LLR observatory. We show that the median nightly range uncertainty is 1.8 mm, and that there is no evidence for any systematic measurement error introduced by the APOLLO instrument on time-scales of minutes to hours.