Theoretical aspects of the phase probe method

Abstract

The authors discuss theoretical matters inherent in modern algorithms for processing satellite measurements’ data. Using the simplest radio navigation system MPS (abbreviation for Mandelstam, Papaleksi, Schegolev), developed in the USSR in 1936 as an example, it was shown that the main drawback of existing algorithms is that they did not use the mathematical notation of simultaneous registration of phase cycles, and all researchers, without exception, note the importance of these acts. It is proved that the operation of resolving ambiguity is not theoretically justified. It is recommended to record the duration of the measurement session, and it is proved that this can serve as an additional source of information. Based on the studies, a simple, unified, and rigorous algorithm for calculating the coordinates of the points to be determined from the results of registering phase cycles at using the radio navigation system in the phase probe mode is recorded.