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THE ACCURACY IMPROVEMENT OF ANGULAR MEASUREMENTS BY THE MEANS OF SYSTEMATIC ERRORS MODELS INCORPORATING

А.В. Банников, Viktor Gordeev

Abstract

Object. In high-precision work including surveying observations of deformations the researcher often encounters with the problem of interpreting survey measurements. The quality of such measurements and their functions are characterized by root-mean-square deviation. In this article authors consider a method that improves the quality of equalizing angular measurements using the example of circular (360-degree) techniques. The initial data were taken from one of classic calculation work «The results processing of horizontal directions measuring». Research Methods. The research tool is parametric equalizing, taking into account the systematic errors models in circular techniques in angular measurements at the station: alternating errors, correction to the initial direction and non-closure of the horizon. This method allows not only to obtain a strict adjustment solution and complete covariance matrix of directions, but also to check the significance of systematic errors using Student's t-test. Results. Taken into the consideration three systematic errors models, one of them, namely non-closure of the horizon models has not always stood the test of significant. Secondly, a covariance matrix of horizontal directions enabling to find the standard deviation of horizontal angles as the standard deviation of the function from the equalized parameter values has been obtained. Conclusion. The presented approach of processing angular measurements allows one to obtain a strict adjustment solution, to model various effects of systematic errors and to check their significance using Student's t-test. An increase in the assessment of the measurement?s quality based on a specific example is shown in comparison with the traditional equalizing. The above-mention allows to interpret the measurements more reliably and credibly.

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DOI resolver: doi.org/10.5593/sgem2020/2.2/s09.007

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