Standard Clocks, Orbital Precession and the Cosmological Constant

We discuss the influence of the cosmological constant on the gravitomagnetic clock effect and the gravitational time delay of electromagnetic rays. Moreover, we consider the relative motion of a binary system to linear order in the cosmological constant $\mathrm{\Lambda }$. The general expression for the effect of $\mathrm{\Lambda }$ on pericenter precession is given for arbitrary orbital eccentricity.