Fundamental principles of satellite geodesy. Geocentric spatial coordinate systems and their changes in time. Time systems, calendar. Motion of a satellite in Earth´s gravity field. Unperturbed motion, gravitational influences, accelerations induced by Sun and Moon, solar wind pressure. Definition and realization of conventional inertial and terrestrial systems. Principles, methods and exploitation possibilities of satellite measurements in geodesy and geophysics (VLBI, SLR, LLR, DORIS, satellite altimetry, satellite navigation systems). Methods for determination of positions and time, accuracies and applications. GPS method. Principles of ambiguity resolution. Ionospheric and tropospheric corrections. Accuracy. Optimization of observation and processing procedures. Software systems SKI-Pro and Bernese.