On the anomalous acceleration in the solar system

Abstract

We study the impact of the cosmological environment on the solar gravitational system by the imbedding formalism of Gautreau. It appears that the cosmic mean-mass density and the cosmological constant give negligibly small contribution to gravity potentials. On the contrary, the cosmic acceleration beyond the Robertson-Walker geometry can considerably influence the curvature of spacetime in the solar system. The resulting anomalous constant acceleration towards the Sun is an order of magnitude smaller than that measured by Pioneer 10 and 11. However, it is larger than second order terms of potentials, thus well within the sensitivity of new gravity probes such as the LATOR mission.