For rapid static mode global positioning system (GPS) satellite surveying, our data processing method uses linear combinations of dual-frequency carrier phase observables, which are double differencing wide lane signals between the satellites and the receivers. Wide lane ambiguity parameters estimated in a least squares sense lead to corresponding candidate integer ambiguities on L1 carrier waves. This shortens the search time appreciably in order to resolve the integer ambiguities. A contrast statistic and an ambiguity function provide indices which are utilized together to guarantee the correctness of the relative position solutions. Coordinate repeatabilities obtained are qualified for the generation of local ground control points. With five vertical control points, geometric heights From GPS surveying are transformed into orthometric heights. They are then compared to heights independently derived from precise levelling. Accuracies in height ranging from +/- 0.8 to 1.6 cm are realizable for an experiment area of about 4 km by 5 km.