Two-body problem with the cosmological constant and observational constraints

Details Two-body problem with the cosmological constant and observational constraints Two-body problem with the cosmological constant and observational constraints

2006-01-26

arxiv.org/abs/astro-ph/0601612v1

Phys.Rev. D73 (2006) 044015

Astronomy and Astrophysics

Astrophysics

8 pages, accepted for publication in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.73.044015

We discuss the influence of the cosmological constant on the gravitational equations of motion of bodies with arbitrary masses and eventually solve the two-body problem. Observational constraints are derived from measurements of the periastron advance in stellar systems, in particular binary pulsars and the solar system. Up to now, Earth and Mars data give the best constraint, Lambda < 10^{-36} km^{-2}; bounds from binary pulsars are potentially competitive with limits from interplanetary measurements. If properly accounting for the gravito-magnetic effect, this upper limit on $\Lambda$ could greatly improve in the near future thanks to new data from planned or already operating space-missions.

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