Table of Contents
Scholarly Research Exchange
Volume 2008, Article ID 968393, 7 pages
http://dx.doi.org/10.3814/2008/968393
Research Article

Solar System Tests of Some Models of Modified Gravity Proposed to Explain Galactic Rotation Curves without Dark Matter

1Istituto Nazionale di Fisica Nucleare (INFN), Sezione di Pisa, 3 - 56127 Pisa, Italy
2Dipartimento di Fisica, Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129 Torino, Italy
3Istituto Nazionale di Fisica Nucleare (INFN), Sezione di Torino, Via Pietro Giuria, 1 10125 Torino, Italy

Received 7 September 2008; Revised 30 September 2008; Accepted 30 October 2008

Copyright © 2008 Lorenzo Iorio and Matteo Luca Ruggiero. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We consider the recently estimated corrections Δω¯˙ to the standard Newtonian/Einsteinian secular precessions of the longitudes of perihelia ω¯ of several planets of the Solar System in order to evaluate whether they are compatible with the predicted anomalous precessions due to models of long-range modified gravity put forth to account for certain features of the rotation curves of galaxies without resorting to dark matter. In particular, we consider a logarithmic-type correction and a f(R) inspired power-law modification of the Newtonian gravitational potential. The results obtained by taking the ratio of the predicted apsidal rates for different pairs of planets show that the modifications of the Newtonian potentials examined in this paper are not compatible with the secular extra-precessions of the perihelia of the Solar System's planets estimated by E. V. Pitjeva as solve-for parameters processing almost one century of data with the latest EPM ephemerides.