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Two-body problem with the cosmological constant and observational constraints
Astrophysics · Submitted 26 Jan 2006
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim 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.
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The abstract, sentence by sentence
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.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | 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. | contribution 0.99 | 0.89 | 0.12 | asserted 0.95 |
| s1 | Observational constraints are derived from measurements of the periastron advance in stellar systems, in particular binary pulsars and the solar system. | method 0.89 | 0.65 | 0.05 | asserted 1.00 |
| s2 | 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. | result 1.00 | 0.49 | 0.56 | asserted 0.82 |
| s3 | 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. | future work 0.83 | 0.11 | 0.13 | hedged possibility 1.00 |
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The paper
Original abstract
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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References
How the literature uses it
4 arXiv papers cite this in 5 sentences
Papers whose main result relates to this one's
States the same result 1 paper
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Up to now, Earth and Mars data give the best constraint, $\Lambda \sim 10^{-36} \mathrm{km}^{-2}$.
Papers citing it · 4 sentences without a confident label
Cites it as background 1 paper
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The path of a small test mass near a spherically-symmetric central mass $M$ including the effect of the cosmological constant $Λ$ is described by the Schwarzschild-de Sitter (SdS) geometry [ref] .
A Keplerian Limit to Static Spherical Spacetimes in Curvature Coordinates · Schwarzschild-de Sitter Orbits in Keplerian Limit · 0.98
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