2008/01/01 by Lorenzo Iorio
Physics and Astronomy · #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #Relativity and Gravitational Theory #astro-ph #gr-qc #hep-ph #physics.space-ph
paper · pdf · doi:10.3814/2008/238385
published as Scholarly Research Exchange, vol. 2008, article ID 238385 · LaTex2e, 13 pages, 1 table, no figures. To appear in Scholarly Research Exchange (SYREXE). I thank the referees S. Capozziello and H.-S. Zhao
openalex publication_date 2008/01/01 · arxiv created 2008/11/10 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/31
We deal with a Yukawa-like long-range modified model of gravity (MOG) which recently allowed to successfully accommodate many astrophysical and cosmological features without resorting to dark matter. On Solar System scales, MOG predicts anomalous retrograde secular precessions of the planetary longitudes of the perihelia <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>ϖ</mml:mi></mml:math>. Their existence has been put on the test here by taking the ratios of the observationally estimated Pitjeva's corrections to the standard Newtonian/ Einsteinian perihelion precessions for different pairs of planets. It turns out that MOG, in the present form which turned out to be phenomenologically successful on astrophysical scales, is ruled out at more than 3<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>σ</mml:mi></mml:math> level in the Solar System. If and when other teams of astronomers will independently estimate their own corrections to the usual precessions of the perihelia, it will be possible to repeat such a test.