## 3 Results
### Convergence Time  
This subsection analyzes the convergence times relative to the required accuracy levels. Additionally, the number of observational sessions meeting the specified thresholds was determined. Convergence time was defined as the moment when the errors reached the specified threshold and remained within it for at least the next 30 min. The thresholds were defined as 10 cm for both 2D and 3D for the CNES and CODE solutions. For the BRDM and HAS solutions, the thresholds were set at 20 cm horizontally (2D) and 40 cm vertically (U), which is the main objective of the HAS service; additionally, a 40 cm threshold was applied for spatial (3D). Identical accuracy thresholds were used for both BRDM and HAS to ensure a fair comparison, as the main goal is to highlight the impact of HAS corrections relative to broadcast-only data. Figure 3 presents the results, and detailed data are provided in Appendix A. Table 5 summarizes the percentage of sessions meeting the required accuracy levels. \begin{table}
\begin{tabular}{c c c c c} \hline
**Solution** & **GNSS** & **U** & **2D** & **3D** \\ \hline \multirow{3}{*}{BRDM} & G & 80.7 & 27.4 & 35.9 \\  & E & 92.0 & 64.6 & 70.8 \\  & GE & 93.2 & 62.8 & 74.0 \\ \hline \multirow{3}{*}{HAS} & G & 45.1 & 22.2 & 26.0 \\  & E & 75.0 & 70.7 & 73.3 \\  & GE & 75.0 & 71.0 & 74.0 \\ \hline \multirow{3}{*}{CNES} & G & 99.1 & 99.5 & 97.6 \\  & E & 96.2 & 96.7 & 91.7 \\  & GE & 99.6 & 99.6 & 99.0 \\ \hline \multirow{3}{*}{CODE} & G & 100.0 & 99.5 & 99.5 \\  & E & 99.8 & 99.6 & 98.8 \\ \cline{1-1}  & GE & 100.0 & 99.8 & 99.6 \\ \hline \end{tabular}
\end{table} 
Table 5: Percentage of sessions in which the convergence time met the defined accuracy thresholds for all solutions and constellations. Figure 2: Average availability of HAS ORBIT and CLOCK corrections per satellite for the Galileo and GPS constellations. The dashed line marks the 90% availability threshold. Solutions based on CNES and CODE products demonstrated a consistently outstanding convergence performance, with success rates approaching or exceeding 99% in the most favorable configurations. For the CODE solution, convergence times were remarkably short, averaging approximately 1.2 min in 2D and 1.5 min in 3D when using GPS-only signals, with a slightly better performance observed for Galileo signals in 2D. The combined GPS+Galileo (GE) configuration yielded the best results, achieving convergence in less than 1 min in 2D and approximately 1 min in 3D, with success rates reaching up to 99.6%. The CNES solution, simulating real-time operational conditions, also demonstrated a high percentage of sessions that successfully met the defined convergence criteria, indicating a reliable convergence performance, although convergence times were slightly longer compared to CODE. For GPS-only observations, convergence thresholds were achieved in 99.5% of sessions for 2D and 97.6% for 3D positioning. However, when using Galileo-only signals, the percentage of sessions that successfully reached convergence dropped to 96.7% for 2D and 91.7% for 3D, with average convergence times increasing to 2.09 min in 2D and 2.87 min in 3D. Nevertheless, when combining GPS and Galileo signals, the CNES solution achieved convergence within approximately 1.1 min in 2D and 1.5 min in 3D, with the percentage of sessions successfully reaching convergence closely matching that of the CODE solution--up to 99.6% for 2D and 99.0% for 3D. In contrast, products based on BRDM and HAS corrections exhibited significantly longer convergence times and a lower percentage of sessions successfully reaching convergence. It should be noted that different convergence thresholds were applied for BRDM  
Figure 3: Mean convergence time with standard deviation for all solutions and constellations for U, 2D, and 3D. and HAS compared to CODE and CNES solutions.