Relativistic Positioning Systems and Gravitational Perturbations
- Andreja Gomboc
FMF, University of Ljubljana; Centre of Excellence Space.si
In order to achieve high accuracy relativistic positioning system several gravitational perturbations need to be taken into account. We consider the system of satellites, such as the Galileo system, in the background of Schwarzschild metric and describe gravitational perturbations due to Earth's rotation, multipoles, tides, and gravity of the Moon, the Sun, and planets in the Hamiltonian formalism. We will present the status of our work under the ESA Slovenian PECS project Relativistic Global Navigation System and our future plans.