Measurement uncertainty evaluation of the object planimetric coordinates using the rho-theta method

Abstract

Determining the planimetric coordinates of an object is a topical task of coordinate metrology, which finds application in cartography, geodesy, location and navigation. The article considers the features of measurement uncertainty evaluation the coordinates of an object on a plane using the rho-theta method. The measurement model is substantiated. Expressions for estimating the numerical values of coordinates and their combined standard uncertainties are obtained. Expressions for estimating expanded uncertainties using the kurtosis method are found. The uncertainty budgets for measuring the planimetric Cartesian object coordinates are presented. Expressions for relative standard uncertainties in measuring coordinates are written and an example of their evaluation for real metrological characteristics of measuring instruments of a base station is considered.