Research on least squares adjustment of high precision network of triangulateration

Abstract

AbstractThe Helmert method has been widely used in data processing for high precision network which consists of different types of observations. For triangulaterations, the analyses show that the iterative calculation cannot be achieved smoothly while applying the initial coordinates of the unknown points, which come from the direct field observations. One reason lies in that model errors may arise from the non-linear observation functions’ linearisation using Taylor’s theorem. While that problem could be avoided when using the traditional adjustment solutions of the unknown points as the initials in high precision networks. Moreover, if enough redundant observations have been measured, improved two-time-weighting estimation (ITTWE) will solve the problem more conveniently and efficiently, from which weight matrix determined by the posteriori estimation of the electric distance measurement instrument. The data processing results from a real nuclear power plant project show consistency between Helmert and ...