An autonomous reference frame for relativistic positioning system

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 (ABC), via emission coordinates. Here we present the idea of the ABC and its implementation in the perturbed space-time of Earth, where the motion of satellites, the light propagation, and the gravitational perturbations are treated in the formalism of general relativity.