English

Mapping the spacetime metric with GNSS: a preliminary study

General Relativity and Quantum Cosmology 2009-12-23 v1

Abstract

In order to do relativistic gravimetry one needs to define a system of null coordinates for a given constellation of satellites. We present here three methods in order to find the null coordinates of an event in a Schwarzschild geometry. We implement these three methods for the weak gravitational field of the Earth, compare their precision and time of computation.

Keywords

Cite

@article{arxiv.0912.4418,
  title  = {Mapping the spacetime metric with GNSS: a preliminary study},
  author = {P. Delva and J. T. Olympio},
  journal= {arXiv preprint arXiv:0912.4418},
  year   = {2009}
}

Comments

7 pages, 2 figures, Proceedings of the "2nd International Colloquium - Scientific and Fundamental Aspects of the Galileo Programme", 14 - 16 October 2009, Padova, Italy

R2 v1 2026-06-21T14:27:18.830Z