Orbital effects of Lorentzviolating standard model extension gravitomagnetism around a static body: a sensitivity analysis
Abstract
We analytically work out the longterm rates of the change of the six osculating Keplerian orbital elements of a test particle acted upon by the Lorentzviolating gravitomagnetic acceleration due to a static body, as predicted by the standard model extension. We neither restrict to any specific spatial orientation for the symmetryviolating vector {\bm s}=\lbrace \overline{s}^{\,01},\overline{s}^{\,02},\overline{s}^{\,03}\rbrace nor make a priori simplifying assumptions concerning the orbital configuration of the perturbed test particle. Thus, our results are quite general, and can be applied for sensitivity analyses to a variety of specific astronomical and astrophysical scenarios. We find that, apart from the semimajor axis a, all the other orbital elements undergo nonvanishing secular variations. By comparing our results to the latest determinations of the supplementary advances of the perihelia of some planets of the solar system, we preliminarily obtain s_{x} = (0.9 ± 1.5) × 10^{8}, s_{y} = (  4 ± 6) × 10^{9} and s_{z} = (0.3 ± 1) × 10^{9}. Bounds from the terrestrial LAGEOS and LAGEOS II satellites are of the order of s ̃ 10^{3}10^{4}.
 Publication:

Classical and Quantum Gravity
 Pub Date:
 September 2012
 DOI:
 10.1088/02649381/29/17/175007
 arXiv:
 arXiv:1203.1859
 Bibcode:
 2012CQGra..29q5007I
 Keywords:

 General Relativity and Quantum Cosmology;
 Astrophysics  Earth and Planetary Astrophysics;
 Physics  Space Physics
 EPrint:
 LaTex2e, 9 pages, no figures, 3 tables, 25 references. Typos fixed