Solar System Motions and the Cosmological Constant: A New Approach

We use the corrections to the Newton-Einstein secular precessions of the longitudes of perihelia ̇𝜛 of some planets (Mercury, Earth, Mars, Jupiter, Saturn) of the Solar System, phenomenologically estimated as solve-for parameters by the Russian astronomer E. V. Pitjeva in a global fit of almost one...

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Main Author: Lorenzo Iorio
Format: Article
Language:English
Published: Wiley 2008-01-01
Series:Advances in Astronomy
Online Access:http://dx.doi.org/10.1155/2008/268647
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author Lorenzo Iorio
author_facet Lorenzo Iorio
author_sort Lorenzo Iorio
collection DOAJ
description We use the corrections to the Newton-Einstein secular precessions of the longitudes of perihelia ̇𝜛 of some planets (Mercury, Earth, Mars, Jupiter, Saturn) of the Solar System, phenomenologically estimated as solve-for parameters by the Russian astronomer E. V. Pitjeva in a global fit of almost one century of data with the EPM2004 ephemerides, in order to put on the test the expression for the perihelion precession induced by a uniform cosmological constant Λ in the framework of the Schwarzschild-de Sitter (or Kottler) space-time. We compare such an extra rate to the estimated corrections to the planetary perihelion precessions by taking their ratio for different pairs of planets instead of using one perihelion at a time for each planet separately, as done so far in literature. The answer is negative, even by further rescaling by a factor 10 (and even 100 for Saturn) the errors in the estimated extra precessions of the perihelia released by Pitjeva. Our conclusions hold also for any other metric perturbation having the same dependence on the spatial coordinates, as those induced by other general relativistic cosmological scenarios and by many modified models of gravity. Currently ongoing and planned interplanetary spacecraft-based missions should improve our knowledge of the planets' orbits allowing for more stringent constraints.
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spelling doaj-art-87b99b6682814a1dabe594eb62ffa92b2025-02-03T01:02:28ZengWileyAdvances in Astronomy1687-79691687-79772008-01-01200810.1155/2008/268647268647Solar System Motions and the Cosmological Constant: A New ApproachLorenzo Iorio0INFN-Sezione di Pisa, 56127 Pisa, ItalyWe use the corrections to the Newton-Einstein secular precessions of the longitudes of perihelia ̇𝜛 of some planets (Mercury, Earth, Mars, Jupiter, Saturn) of the Solar System, phenomenologically estimated as solve-for parameters by the Russian astronomer E. V. Pitjeva in a global fit of almost one century of data with the EPM2004 ephemerides, in order to put on the test the expression for the perihelion precession induced by a uniform cosmological constant Λ in the framework of the Schwarzschild-de Sitter (or Kottler) space-time. We compare such an extra rate to the estimated corrections to the planetary perihelion precessions by taking their ratio for different pairs of planets instead of using one perihelion at a time for each planet separately, as done so far in literature. The answer is negative, even by further rescaling by a factor 10 (and even 100 for Saturn) the errors in the estimated extra precessions of the perihelia released by Pitjeva. Our conclusions hold also for any other metric perturbation having the same dependence on the spatial coordinates, as those induced by other general relativistic cosmological scenarios and by many modified models of gravity. Currently ongoing and planned interplanetary spacecraft-based missions should improve our knowledge of the planets' orbits allowing for more stringent constraints.http://dx.doi.org/10.1155/2008/268647
spellingShingle Lorenzo Iorio
Solar System Motions and the Cosmological Constant: A New Approach
Advances in Astronomy
title Solar System Motions and the Cosmological Constant: A New Approach
title_full Solar System Motions and the Cosmological Constant: A New Approach
title_fullStr Solar System Motions and the Cosmological Constant: A New Approach
title_full_unstemmed Solar System Motions and the Cosmological Constant: A New Approach
title_short Solar System Motions and the Cosmological Constant: A New Approach
title_sort solar system motions and the cosmological constant a new approach
url http://dx.doi.org/10.1155/2008/268647
work_keys_str_mv AT lorenzoiorio solarsystemmotionsandthecosmologicalconstantanewapproach