A positioning system accurately estimates transmission times of signals from a signal transmitter and measures a position of a receiver on the basis of the transmission times. The receiver 10 comprises a velocity-vector calculating unit 12 calculating velocity vectors of GPS satellites 20 on the basis...http://www.google.co.uk/patents/US20090015471?utm_source=gb-gplus-sharePatent US20090015471 - POSITIONING SYSTEM, IC CHIP FOR POSITIONING, POSITIONING METHOD, AND POSITIONING PROGRAM