Solar system effects in Schwarzschild-de Sitter space-time

The Schwarzschild-de Sitter space-time describes the gravitational field of a spherically symmetric mass in a universe with cosmological constant Λ. Based on this space-time we calculate Solar system effects like gravitational redshift, light deflection, gravitational time delay, perihelion shift, geodetic or de Sitter precession, as well as the influence of Λ on a Doppler measurement, used to determine the velocity of the Pioneer 10 and 11 spacecraft. For Λ=Λ0∼10−52m−2 the cosmological constant plays no role for all of these effects, while a value of Λ∼−10−37m−2, if hypothetically held responsible for the Pioneer anomaly, is not compatible with the perihelion shift.