On the possibility of testing the Brane-World scenario with orbital motions in the Solar System

Abstract

Recently it has been suggested to use the perigee of the proposed LARES/WEBER-SAT satellite in order to measure the secular precession which would be induced on such Keplerian orbital element by a weak-field modification of gravity occurring in some Brane-World scenarios put forth by Dvali, Gabadadze and Porrati. This precession, derived for the first time by Lue and Starkman, amounts to 4\times 10-3 milliarcseconds per year for an Earth orbiting satellite. In this paper we show that, according to the recently released EIGEN-CG01C Earth gravity model the quite larger systematic errors due to the Newtonian part of the terrestrial gravitational potential would vanish any attempts to detect a so small effect. The situation is much more favorable in the Solar System scenario. Indeed, the non-Newtonian perihelion advance of Mars, which is the currently best tracked planet, has recently been measured with an accuracy of 1\times 10^-4 arcseconds per century; the Dvali precession is 4\times 10^-4 arcseconds per century. A suitable combination of the perihelia and the nodes of Mars and Mercury, which disentangles the Dvali effect from the competing larger Newtonian and general relativistic precessions, might allow to reach a 1-sigma 47% level of accuracy.

LaTeX2e, 20 pages, 5 tables, no figures, 33 references. Accepted for publication in Jornal of Cosmolgy and Astroparticle Physics (JCAP)

References in corpus (3)

• On the possibility of measuring the solar oblateness and some relativistic effects from planetary ranging
• Is it possible to measure the Lense-Thirring effect on the orbits of the planets in the gravitational field of the Sun?
• LARES/WEBER-SAT, frame-dragging and fundamental physics

Cited by in corpus (13)

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• An Assessment of the Systematic Uncertainty in Present and Future Tests of the Lense-Thirring Effect with Satellite Laser Ranging
• First preliminary tests of the general relativistic gravitomagnetic field of the Sun and new constraints on a Yukawa-like fifth force from planetary data
• On the effects of the Dvali-Gabadadze-Porrati braneworld gravity on the orbital motion of a test particle
• Conservative evaluation of the uncertainty in the LAGEOS-LAGEOS II Lense-Thirring test
• Fluid sphere: stability problem and dimensional constraint
• LARES/WEBER-SAT and the equivalence principle
• Orbital effects of Sun's mass loss and the Earth's fate
• How the orbital period of a test particle is modified by the Dvali-Gabadadze-Porrati gravity?
• On the perspectives of testing the Dvali-Gabadadze-Porrati gravity model with the outer planets of the Solar System
• Radar Signal Delay in the Dvali-Gabadadze-Porrati Gravity in the Vicinity of the Sun