A satellite navigation system generates a smooth and flexible parameterization of satellite orbits and/or clock corrections. The satellite orbit(s) and/or the satellite clock corrections, are described by a first function system of advancing differentiable functions having a high approximation quality and long range of influence. Satellite orbits and/or clock corrections parameterized from the first function system are transmitted from a central ground processing unit to satellite(s) and then to a user device. (Alternatively, transmission may be effected via only a ground infrastructure.) In addition, a second advancing function system of at least continuous functions of moderate approximation quality and a very short range of influence may be provided, which permits a conversion to the first function system, particularly via the user terminal. Thus, the time required to determine the first navigation information (the time to the first fix) can be significantly shortened.