Solar system effects in Schwarzschild--de Sitter spacetime

The Schwarzschild–de Sitter space–time describes the gravitational field of a spherically symmetric mass in a universe with cosmological constant $\mathrm{\Lambda }$. 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 $\mathrm{\Lambda }$ on a Doppler measurement, used to determine the velocity of the Pioneer 10 and 11 spacecraft. For $\mathrm{\Lambda }={\mathrm{\Lambda }}_0\sim {10}^{-52}{\mathrm{m}}^{-2}$ the cosmological constant plays no role for all of these effects, while a value of $\mathrm{\Lambda }\sim -{10}^{-37}{\mathrm{m}}^{-2}$, if hypothetically held responsible for the Pioneer anomaly, is not compatible with the Perihelion shift.