A method and system for approximating a position using a Global Navigational Satellite System (GNSS) having a plurality of GNSS satellites and an augmentation system, the method including the steps of obtaining an initial code pseudorange measurement and an initial carrier phase measurement from a signal transmitted by a GNSS satellite in the GNSS system, receiving a code correction from the augmentation system, using the code correction to correct the initial code pseudorange measurement and the initial carrier phase measurement to mitigate for errors in the signal, to result in a corrected code pseudorange measurement and a corrected carrier phase measurement, and using a code dominated measurement in a filter which outputs apposition and ambiguity estimate.