Orbital effects of Lorentz-violating standard model extension gravitomagnetism around a static body: a sensitivity analysis
Abstract
We analytically work out the long-term rates of the change of the six osculating Keplerian orbital elements of a test particle acted upon by the Lorentz-violating gravitomagnetic acceleration due to a static body, as predicted by the standard model extension. We neither restrict to any specific spatial orientation for the symmetry-violating 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 non-vanishing 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 sx = (0.9 ± 1.5) × 10-8, sy = ( - 4 ± 6) × 10-9 and sz = (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:
- 10.1088/0264-9381/29/17/175007
- arXiv:
- arXiv:1203.1859
- Bibcode:
- 2012CQGra..29q5007I
- Keywords:
-
- General Relativity and Quantum Cosmology;
- Astrophysics - Earth and Planetary Astrophysics;
- Physics - Space Physics
- E-Print:
- LaTex2e, 9 pages, no figures, 3 tables, 25 references. Typos fixed