## 4 Simulation Experiments and Analysis Based on Error Sensitivity
\begin{table}
\begin{tabular}{c c c c c c} \hline \hline \multicolumn{1}{c}{**Stability Accuracy**} & \multicolumn{5}{c}{**Error Levels [\(m^{*}\)]**} \\ \cline{2-7} \multicolumn{1}{c}{\(\triangle\theta\) [\(\mu rad\)]} & **1** & **5** & **10** & **20** & **50** \\ \hline \multirow{8}{*}{**Error Types**} & \(\delta_{bax}\) & 7.032 & 7.028 & 7.032 & 7.029 & 7.024 \\  & \(\delta_{bay}\) & 7.026 & 7.027 & 7.026 & 7.032 & 7.028 \\  & \(\delta_{apx}\) & 7.045 & 7.116 & 7.197 & 7.371 & 7.913 \\  & \(\delta_{apx}\) & 7.023 & 7.030 & 7.026 & 7.029 & 7.026 \\  & \(\Delta\alpha_{am}\) & 7.030 & 7.032 & 7.028 & 7.027 & 7.023 \\  & \(\Delta\beta_{am}\) & 7.029 & 7.028 & 7.025 & 7.028 & 7.030 \\  & \(\Delta\alpha_{pm}\) & 7.028 & 7.030 & 7.032 & 7.024 & 7.028 \\  & \(\Delta\beta_{pm}\) & 7.026 & 7.026 & 7.027 & 7.026 & 7.023 \\  & \(\varepsilon_{ax}\) & 7.027 & 7.024 & 7.025 & 7.028 & 7.026 \\  & \(\varepsilon_{ay}\) & 7.012 & 6.948 & 6.857 & 6.696 & 6.217 \\  & \(\varepsilon_{px}\) & 7.031 & 7.026 & 7.023 & 7.029 & 7.026 \\  & \(\varepsilon_{px}\) & 7.042 & 7.096 & 7.170 & 7.324 & 7.792 \\ \hline \hline \end{tabular}
\end{table} 
Table 6: Simulation results under BD Dis of 1.5\({}^{{}^{\prime}}\)/4 Hz. \begin{table}
\begin{tabular}{c c c c c c} \hline \hline \multicolumn{1}{c}{**Stability Accuracy**} & \multicolumn{5}{c}{**Error Levels [\(m^{*}\)]**} \\ \cline{2-7} \multicolumn{1}{c}{\(\triangle\theta\) [\(\mu rad\)]} & **1** & **5** & **10** & **20** & **50** \\ \hline \multirow{8}{*}{**Error Types**} & \(\delta_{bax}\) & 15.892 & 15.898 & 15.885 & 15.892 & 15.897 \\  & \(\delta_{bay}\) & 15.884 & 15.896 & 15.901 & 15.898 & 15.899 \\  & \(\delta_{apx}\) & 15.933 & 16.075 & 16.267 & 16.626 & 17.780 \\  & \(\delta_{apx}\) & 15.890 & 15.884 & 15.890 & 15.890 & 15.892 \\  & \(\Delta\alpha_{am}\) & 15.903 & 15.894 & 15.901 & 15.895 & 15.891 \\  & \(\Delta\beta_{am}\) & 15.889 & 15.907 & 15.896 & 15.904 & 15.899 \\  & \(\Delta\alpha_{pm}\) & 15.886 & 15.890 & 15.889 & 15.902 & 15.893 \\  & \(\varepsilon_{px}\) & 15.903 & 15.886 & 15.902 & 15.891 & 15.905 \\  & \(\varepsilon_{px}\) & 15.897 & 15.881 & 15.896 & 15.904 & 15.898 \\  & \(\varepsilon_{ay}\) & 15.856 & 15.708 & 15.531 & 15.166 & 14.105 \\  & \(\varepsilon_{px}\) & 15.896 & 15.880 & 15.904 & 15.888 & 15.896 \\  & \(\varepsilon_{px}\) & 15.904 & 16.026 & 16.141 & 16.413 & 17.237 \\ \hline \hline \end{tabular}
\end{table} 
Table 4: Simulation results under BD Dis of 1.5\({}^{{}^{\prime}}\)/2 Hz. \begin{table}
\begin{tabular}{c c c c c c} \hline \hline \multicolumn{1}{c}{**Stability Accuracy**} & \multicolumn{5}{c}{**Error Levels [\(m^{*}\)]**} \\ \cline{2-7} \multicolumn{1}{c}{\(\triangle\theta\) [\(\mu rad\)]} & **1** & **5** & **10** & **20** & **50** \\ \hline \multirow{8}{*}{**Error Types**} & \(\delta_{bax}\) & 9.770 & 9.779 & 9.777 & 9.780 & 9.783 \\  & \(\delta_{bay}\) & 9.774 & 9.780 & 9.776 & 9.777 & 9.780 \\  & \(\delta_{apx}\) & 9.800 & 9.891 & 10.014 & 10.248 & 10.975 \\  & \(\delta_{apx}\) & 9.778 & 9.774 & 9.777 & 9.771 The standard deviations of the experimental samples under different error levels are defined as error sensitivity, which are denoted as \(S(x)\). \(x\) represents the objective error source. \(S(x)\) is an index which is used to evaluate the fluctuations changing along with the error levels. Therefore, \(S(x)\) can be used to evaluate the sensitivity of those error sources. \(S(x)\) is calculated by using Equation (24), where \(n_{l}\) is the number of error levels; \(\Delta\theta_{i}(x)\) is the accuracy sample value of the _ith_ error level of \(x\); \(\overline{\Delta\theta(x)}\) is the average value of \(\triangle\theta_{i}(x)\).