Mapping the spacetime metric with GNSS: a preliminary study

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.

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

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