arXiv · gr-qc/0007057
Satellite non-gravitational orbital perturbations and the detection of the gravitomagnetic clock effect
Abstract
The general relativistic gravitomagnetic clock effect consists in the fact that two massive test bodies orbiting a central spinning mass in its equatorial plane along two identical circular trajectories, but in opposite directions, take different times in describing a full revolution with respect to an asymptotically inertial observer. In the field of the Earth such time shift amounts to 10^{-7} s. Detecting it by means of a space based mission with artificial satellites is a very demanding task because there are severe constraints on the precision with which the radial and azimuthal positions of a satellite must be known: delta r= 10^{-2} cm and delta phi= 10^{-2} milliarcseconds per revolution. In this paper we assess if the systematic errors induced by various non-gravitational perturbations allow to meet such stringent requirements. A couple of identical, passive laser-ranged satellites of LAGEOS type with their spins aligned with the Earth's one is considered. It turns out that all the non vanishing non-gravitational perturbations induce systematic errors in r and phi within the required constraints for a reasonable assumption of the mismodeling in some satellite's and Earth's parameters and/or by using dense satellites with small area-to-mass ratio. However, the error in the Earth's GM is by far the largest source of uncertainty in the azimuthal location which is affected at a level of 1.2 milliarcseconds per revolution.
Explore related subjects
Keep this discovery
Explore connections, maps & timelines
Lorenzo Iorio. 2001-08-07. Satellite non-gravitational orbital perturbations and the detection of the gravitomagnetic clock effect. https://doi.org/10.1088/0264-9381%2F18%2F20%2F309
Cite the original work for its findings. Save a collection to share your selection of sources.