Lambda Perturbations of Keplerian Orbits

Abstract

To estimate influence of the "dark energy" on the Keplerian orbits, we solve the general relativistic equations of motion of a test particle in the field of a point-like mass embedded in the cosmological background formed by the Lambda-term with realistic cosmological Robertson-Walker asymptotics at infinity. It is found that under certain relations between three crucial parameters of the problem--the initial radius of the orbit, Schwarzschild and de Sitter radii--the specific secular perturbation caused by the Lambda-term becomes significant, i.e. can reach the rate of the standard Hubble flow. This fact is interesting both by itself and may have important consequences for the long-term dynamics of planets and stellar binary systems.

REVTeX4, 17 pages, 2 EPS figures; v2: text substantially extended, new formulas added

References in corpus (6)

• Solar system effects in Schwarzschild--de Sitter spacetime
• Scales Set by the Cosmological Constant
• Two-body problem with the cosmological constant and observational constraints
• A New Application of the Lunar Laser Retroreflectors: Searching for the "Local" Hubble Expansion
• Influence of the cosmological expansion on small systems
• Can (dG/dt)/G Bound the Local Cosmological Dynamics?