Development of Relative Ultra-Long Base Positioning Algorithm in GNSS

There are absolute and relative (differential) methods for determining coordinates. Relative methods are characterized by higher accuracy due to mutual compensation of slowly changing components of the errors of primary measurements. There are known algorithms for solving the navigation problem on short bases, when errors associated with the ionosphere and troposphere are strongly correlated, as a result of which they are compensated. At ultra-long-distance bases, such errors are uncorrelated, so this approach requires the development of algorithms that provide high accuracy in estimating the coordinate-time parameters of the consumer. This paper describes a new approach to positioning on an ultra-long base, which includes a solution to non-integer phase ambiguity, delay compensation methods, and an algorithm for determining consumer coordinates. As a result of testing the developed algorithm, it was possible to achieve an estimate of the consumer's coordinates with an error of no more than 1 meter.