Disclosed herein is a 
system for rapidly resolving position with 
centimeter-level accuracy for a mobile or stationary 
receiver [4]. This is achieved by estimating a set of parameters that are related to the integer cycle ambiguities which arise in tracking the 
carrier phase of 
satellite downlinks [5,6]. In the preferred embodiment, the technique involves a navigation 
receiver [4] simultaneously tracking transmissions [6] from 
Low Earth Orbit Satellites (LEOS) [2] together with transmissions [5] from 
GPS navigation satellites [1]. The rapid change in the line-of-
sight vectors from the 
receiver [4] to the LEO 
signal sources [2], due to the orbital motion of the LEOS, enables the resolution with integrity of the integer cycle ambiguities of the 
GPS signals [5] as well as parameters related to the integer cycle 
ambiguity on the LEOS signals [6]. These parameters, once identified, enable real-time 
centimeter-level positioning of the receiver [4]. In order to achieve high-precision position estimates without the use of specialized 
electronics such as atomic clocks, the technique accounts for instabilities in the 
crystal oscillators driving the 
satellite transmitters, as well as those in the reference [3] and user [4] receivers. In addition, the 
algorithm accommodates as well as to LEOS that receive signals from ground-based transmitters, then re-transmit frequency-converted signals to the ground.