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Classical and Quantum Gravity 24 (2007) 2735-2741
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Cosmology in the Solar System: Pioneer effect is not cosmological
M. Lachièze-Rey1

Does the Solar System and, more generally, a gravitationally bound system follow the cosmic expansion law ? Is there a cosmological influence on the dynamics or optics in such systems ? The general relativity theory provides an unique and unambiguous answer, as a solution of Einstein equations with a local source in addition to the cosmic fluid, and obeying the correct (cosmological) limiting conditions. This solution has no analytic expression. A Taylor development of its metric allows a complete treatment of dynamics and optics in gravitationally bound systems, up to the size of galaxy clusters, taking into account both local and cosmological effects. In the solar System, this provides an estimation of the (non zero) cosmological influence on the Pioneer probe: it fails to account for the " Pioneer effect " by about 10 orders of magnitude. We criticize contradictory claims on this topic.
1 :  APC - UMR 7164 - AstroParticule et Cosmologie
APC - Cosmologie et gravitation
Physique/Relativité Générale et Cosmologie Quantique

Planète et Univers/Astrophysique

Physique/Astrophysique/Cosmologie et astrophysique extra-galactique

Planète et Univers/Astrophysique/Cosmologie et astrophysique extra-galactique
cosmology – gravitation – Pioneer effect
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