Influence of Yukawa-type additions to a Newtonian gravitational potential on the perihelion precession of bodies in the solar system

Abstract

The results of theoretical studies of the influence of Yukawa-type additions to a Newtonian gravitational potential on the perihelion precession of bodies in the solar system are presented. An expression for the precession angle due to such additions is obtained. It is shown that, with certain relationships between the parameters in the Yukawa potential, their contribution to the perihelion precession of the trans-Neptunian objects 2000 OO₆₇, 2006 SQ₃₇₂, 2009 FW₅₄, 2013 BL₇₆, and 2003 VB₁₂ is of order 0.01″ over the period, exceeding the contribution of general relativistic terms by at least an order of magnitude. The fundamental possibility of perihelion precession of these trans-Neptunian objects in the retrograde direction is established. Observational data on the precession of planets in the solar system are used to place constraints on the parameters of the added Yukawa potential.