Planetary Perturbation with Cosmological Constant

Abstract

A contribution of quantum vacuum to the energy momentum tensor is inevitably experienced in the present universe. One requires the presence of non-zero cosmological constant ($Λ$) to make the various observations consistent. A case of $Λ$ in the Schwarzschild de Sitter space-time shows that precession of perihelion orbit provides a sensative solar test for non-zero $Λ$. Application of the relations involving $Λ$ to the planetery perturbation indicates the values near to the present bound on $Λ$. Also suggested are some relations in vacuum dominated flat universe with a positive $Λ$.