## 3 Results
### Results of RTK/RTN Surveys
\begin{table}
\begin{tabular}{l c} \hline \hline \multicolumn{2}{c}{**Adjustment Report-Influence Factors and Their Parameters**} \\ \hline \hline Terrestrial measurements & Assumed errors _a priori_ \\ \hline - horizontal angles & 0.0020 gon \\ \hline - vertical angles & 0.0010 gon \\ \hline - slope distances & 0.001 m + 5 ppm \\ \hline \hline \multicolumn{2}{c}{GNSS surveying} & average error from variance-covariance \\ \multicolumn{2}{c}{matrix of surveying vectors} \\ \hline - vectors (fast static procedure) & 0.017 m \\ \hline \hline \multicolumn{2}{c}{**Adjustment results**} & **Mean errors _a posteriori_** \\ \hline - horizontal angles & 0.0018 gon \\ \hline - vertical angles & 0.0008 gon \\ \hline - slope distances & 0.003 m \\ \hline - vectors (fast static procedure) & 0.004 m \\ \hline \multicolumn{2}{c}{**Results of final rigorous adjustment**} \\ \hline - m\({}_{0}\) indicator _a posteriori_ for horizontal angles & 1.53 \\ \hline - m\({}_{0}\) indicator _a posteriori_ for vertical angles & 1.07 \\ \hline - m\({}_{0}\) indicator _a posteriori_ for slope distances & 0.60 \\ \hline - m\({}_{0}\) indicator _a posteriori_ for GNSS vectors & 0.82 \\ \hline Global m\({}_{0}\) indicator _a posteriori_ (theoretical m\({}_{0}\) = 1) & 1.06 \\ \hline Root mean square error in horizontal plane & 0.0033 m \\ \hline Root mean square error in vertical plane & 0.0029 m \\ \hline \hline \end{tabular} NoED between reference coordinates and surveys performed by RTK/RTN GNSS  
\end{table} 
Table 4: Results of rigorous adjustment of terrestrial and satellite surveys performed using smart station equipment in multi-variant measurements. Figure 5: Number of maximum differences in positioning after applying GNSS static occupation and with use the individual type of corrections in RTK/RTN surveys. In accordance with the adopted recommendations [40], for accuracy estimation of the real-time GNSS positioning, the following characteristics were used: \(\pm 8\) mm + 1 ppm \(\times\) D for the horizontal (Hz) component and \(\pm 15\) mm + 1 ppm \(\times\) D for the vertical (V) component, where D is the distance to the nearest reference station. The expected accuracy for the scenario of the real-time technique measurements of nine measurement points were also calculated and the results are presented below in Table 6.  
It can be noticed that, if the total of differences of coordinates (D\({}_{\chi}\), D\({}_{\rm Y}\), and D\({}_{\rm Z}\)) presented in Table 5 are included, the range would be obtained that corresponds fairly well with the expected accuracy assessing the uncertainty interval calculated for the horizon \begin{table}
\begin{tabular}{c c c c c c} \hline \hline \multirow{2}{*}{**Point**} & \multirow{2}{*}{**D [m]**} & \multicolumn{4}{c}{**Accuracy Assessing by Uncertainty [m]**} \\ \cline{3-6}  & & **u(Hz)** & **u(V)** & **U\({}_{86}\)(3D)** & **U\({}_{99}\)(3D)** \\ \hline
1000 & 1325.375 & 0.0093 & 0.0163 & 0.019 & 0.057 \\ \hline
18970 & 1252.585 & 0.0093 & 0.0163 & 0.019 & 0.057 \\ \hline
10010 & 1197.575 & 0.0092 & 0.0162 & 0.019 & 0.057 \\ \hline
10020 & 1102.643 & 0.0091 & 0.0161 & 0.018 & 0.054 \\ \hline
10030 & 1051.773 & 0.0091 & 0.0161 & 0.018 & 0.054 \\ \hline
10040 & 963,924 & 0.0090 & 0.0160 & 0.018 & 0.054 \\ \hline
18966 & 901.319 & 0.0089 & 0.0159 & 0.018 & 0.054 \\ \hline
10070 & 739.494 & 0.0087 & 0.0157 & 0.018 & 0.054 \\ \hline
10080 & 632.409 & 0.0086 & 0.0156 & 0.018 & 0.054 \\ \hline \hline \end{tabular}
\end{table} 
Table 6: Expected accuracy of real-time GNSS surveys.