English

An Autonomous Reference Frame for Relativistic GNSS

General Relativity and Quantum Cosmology 2014-01-27 v2

Abstract

Current GNSS systems rely on global reference frames which are fixed to the Earth (via the ground stations) so their precision and stability in time are limited by our knowledge of the Earth dynamics. These drawbacks could be avoided by giving to the constellation of satellites the possibility of constituting by itself a primary and autonomous positioning system, without any a priori realization of a terrestrial reference frame. Our work shows that it is possible to construct such a system, an Autonomous Basis of Coordinates, via emission coordinates. Here we present the idea of the Autonomous Basis of Coordinates and its implementation in the perturbed space-time of Earth, where the motion of satellites, light propagation, and gravitational perturbations are treated in the formalism of general relativity.

Keywords

Cite

@article{arxiv.1401.4706,
  title  = {An Autonomous Reference Frame for Relativistic GNSS},
  author = {Uroš Kostić and Martin Horvat and Sante Carloni and Pacôme Delva and Andreja Gomboc},
  journal= {arXiv preprint arXiv:1401.4706},
  year   = {2014}
}

Comments

5 pages, 3 figures, in proceedings of the 4th International Colloquium: Scientific and Fundamental Aspects of the Galileo Programme, 4-6 December 2013, Prague, Czech Republic; removed unnecessary indices from eqs. 3,6,7 and corrected minus signs in eqs. 6 and 7

R2 v1 2026-06-22T02:49:17.684Z