Patent ID: 7994972

Claim:
A method or operating a satellite navigation system comprising a ground segment that includes at least a central ground processor, a space segment comprising at least one satellite, and a user segment comprising at least one user device, said method comprising: said central ground processor determining at least one of satellite orbit and a satellite clock correction information parameterized from a first function system; said central ground processor transmitting said at least one of satellite orbit and satellite clock correction information via a transmission path that is one of i) a direct transmission to said user device and ii) a transmission to said at least one satellite for retransmission to said user device; and said user device using said at least one of satellite orbit and satellite clock correction information to determine position of said user device; wherein said first function system comprises a first system of advancing differentiable functions that characterize the at least one of satellite orbit and satellite clock corrections, with a high approximation quality and a long range of influence.