2007/11/30 by Lorenzo Iorio, Matteo Luca Ruggiero
Earth and Planetary Sciences · Physics and Astronomy · #Cosmology and Gravitation Theories #Geophysics and Gravity Measurements #Solar and Space Plasma Dynamics #astro-ph #gr-qc #hep-ph #physics.space-ph
paper · pdf · doi:10.3814/2008/968393
published as Scholarly Research Exchange, vol. 2008, article ID 968393 · aastex, 23 pages, no figures, 4 tables. Accepted by Scholarly Research Exchange (SYREXE). Thanks to the referees S. Odintsov and S. Nojiri for their useful and relevant remarks
openalex publication_date 2008/01/01 · arxiv created 2008/10/30 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/31
We consider the recently estimated corrections <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mi>Δ</mml:mi><mml:mover accent="true"><mml:mover accent="true"><mml:mi>ω</mml:mi><mml:mo>¯</mml:mo></mml:mover><mml:mo>˙</mml:mo></mml:mover></mml:mrow></mml:math> to the standard Newtonian/Einsteinian secular precessions of the longitudes of perihelia <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mover accent="true"><mml:mi>ω</mml:mi><mml:mo>¯</mml:mo></mml:mover></mml:math> 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 <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>f</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mi>R</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math> 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.