It is shown that the position of landmarks urban land area up to 2 hectares should be determined with errors in relation to the items city geodetic network mt = 0,05 m, for sites larger area – mt = 0,10 m. Formulas calculate the parameters theodolite moves (angular and linear residuals, stroke lengths and the number of sides) and the parameters of the cadastral survey (distances to landmarks).
For a polygonal land plot with n vertices, it is proposed to determine along each side of the plot the coordinates of additional points. By performing a linear approximation on these data, n straight line equations can be obtained. The intersection of the (i – 1)th and ith straight lines will give the coordinates of the ith boundary marker, by which, using the known formulas, the area of the land lot can be calculated. Model studies of approximation accuracy and accuracy of determining the coordinates of boundary marks were made. It is shown that if the coordinates of intermediate points in every 2 meters along the sides of a square with side length 20 meters, the accuracy of definition of coordinates of boundary marks can be increased in 1.8 times and in 2.4 times if the points in every 1 meter. The corresponding number of times will also increase the accuracy of determining the area of the plot.
The problem of strict equation of geodetic networks developed by a set of stations of satellite navigation systems is raised, which is caused by the fact that as a result of post-processing by existing programs receive covariance matrices of errors of increments of spatial coordinates for each measured side of the geodetic network separately. The matrix does not take into account the correlation that is caused by the fact that the results of observations of many satellites are used simultaneously to determine the coordinate increments on all measured sides of the network. It is shown that for a rigorous equation, the covariance matrix of satellite measurement errors should be determined as a result of correlation analysis, and the equation should be performed by the regularized least squares method.
Method of bearing directions adjustment is based. This method eliminates bearing angles.
The algorithm of weight optimization is based in consecutive order. The necessary formulas are given for its practical realization .
