Abstract: A method and system for accurately determining the position coordinates of a mobile GPS receiver by resolving the double difference GPS carrier phase integer ambiguity. A reference station is provided at precisely known coordinates and carrier phase data and pseudoranges for each received GPS satellite are calculated at both the reference station and the mobile GPS receiver. A communications link couples carrier phase data, pseudorange data and the known reference station position from the reference station to the mobile GPS receiver. A first Kalman filter within the mobile GPS receiver operates on GPS satellite ephemeris parameters and the calculated pseudoranges to obtain an error state vector for position and time. The GPS satellite ephemeris parameters and calculated carrier phase data are then applied to a second Kalman filter to obtain a predicted vector of velocity and clock rate error.