## 4 Results
### Pattern of the Departing Ship Trajectory
#### 4.2.2 Breakwater Phase  
The breakwater phase occurs when the outgoing ship passes the breakwater and changes course to enter the waterway. Figure 25a shows the ship's position during this phase. The average SOG was 10.45 knots and, as shown in Figure 32a, the value between 10.5 and 11 knots was the most frequent, at 32 counts. In addition, the COG had a value of between 180 and 190 degrees while passing through the breakwater, and as the course changed to 170-180 degrees prior to entering the waterway, the frequency was analyzed as shown in Figure 32b. \begin{table}
\begin{tabular}{c c c c c c c c c c c} \hline \hline
**Scaled** & \multicolumn{5}{c}{**Speed Over Ground**} & \multicolumn{5}{c}{**Course Over Ground**} \\ \cline{2-11}
**Time** & **Mean** & **Std.** & **Min** & **Median** & **Max** & **Mean** & **Std.** & **Min** & **Median** & **Max** \\ \hline TS 3\_1 & 0.31 & 0.30 & 0.00 & 0.20 & 1.10 & 166.82 & 60.43 & 0.00 & 174.50 & 322.70 \\ TS 3\_2 & 0.70 & 0.39 & 0.00 & 0.70 & 2.00 & 169.89 & 32.69 & 10.60 & 173.20 & 224.60 \\ TS 3\_3 & 1.18 & 0.89 & 0.00 & 0.90 & 4.20 & 160.96 & 31.93 & 10.60 & 169.80 & 241.70 \\ Leg 3\_1 & 1.97 & 1.31 & 0.10 & 1.70 & 6.20 & 187.98 & 54.59 & 83.40 & 207.30 & 298.20 \\ Leg 3\_2 & 3.68 & 2.27 & 0.20 & 2.95 & 9.60 & 204.77 & 45.60 & 69.20 & 226.95 & 324.50 \\ Leg 3\_3 & 7.45 & 2.39 & 1.20 & 7.80 & 12.60 & 233.12 & 12.78 & 157.50 & 235.85 & 248.10 \\ Leg 3\_4 & 9.60 & 2.07 & 1.70 & 9.75 & 13.20 & 209.32 & 10.81 & 175.30 & 207.30 & 243.10 \\ Berth 1 & 9.31 & 1.65 & 6.00 & 9.70 & 11.80 & 196.52 & 9.41 & 188.30 & 192.30 & 223.30 \\ Berth 2 & 10.35 & 1.94 & 6.50 & 10.70 & 13.10 & 195.47 & 14.27 & 171.30 & 194.60 & 232.20 \\ Berth 3 & 10.34 & 2.03 & 6.70 & 10.45 & 13.80 & 190.86 & 9.48 & 171.30 & 191.70 & 205.60 \\ \hline \hline \end{tabular}
\end{table} 
Table 11: Descriptive statistics for the right-side unberthing phase of the scaled time series. Figure 31: Boxplot time series of the unberthing phase, passing Todo on the right: (**a**) SOC; (**b**) COG; * the time series analysis for ship trajectories in the case of passing Todo on the right is expressed in 11 stages by multiplying the result scaled in Equation (1) by 10. It was divided into 3 stages in Unberth, 4 stages in Leg 1, and 3 stages in Turning Section 1 (TS 1). In addition, the boxplot was used to visually express the descriptive statistics for 11 stages. The time series boxplot of this phase was analyzed in six steps. As shown in Figure 33a, the ship's SOG was maintained above 10 knots and then decelerated to an average of 9.77 knots at the final point. The COG change is shown in Figure 33b. A vessel that sails at an average of 183.06 degrees at the starting point changes course and exits this phase at an average of 170.47 degrees. The summarized descriptive statistics are shown in Table 12. \begin{table}
\begin{tabular}{c c c c c c c c c c} \hline \hline \multirow{2}{*}{**Scaled**} & \multicolumn{4}{c}{**Speed Over Ground**} & \multicolumn{4}{c}{**Course Over Ground**} \\ \cline{2-10}  & **Mean** & **Std.** & **Min** & **Median** & **Max** & **Mean** & **Std.** & **Min** & **Median** & **Max** \\ \hline
0 & 10.47 & 1.33 & 7.60 & 10.55 & 13.20 & 183.06 & 7.79 & 167.70 & 182.15 & 200.20 \\
1 & 11.57 & 1.85 & 8.30 & 12.25 & 13.80 & 184.66 & 6.15 & 173.00 & 188.05 & 190.00 \\
2 & 10.53 & 1.35 & 7.60 & 10.60 & 13.50 & 177.08 & 9.10 & 163.00 & 177.10 & 197.00 \\
3 & 10.82 & 1.49 & 7.70 & 11.05 & 13.10 & 177.28 & 7.98 & 162.00 & 178.35 & 192.70 \\
4 & 10.77 & 0.67 & 9.60 & 10.80 & 11.70 & 171.91 & 9.96 & 162.00 & 167.35 & 189.70 \\
5 & 9.77 & 1.18 & 7.30 & 10.00 & 13.40 & 170.47 & 5.71 & 161.30 & 169.45 & 183.80 \\ \hline \hline \end{tabular}
\end{table} 
Table 12: Descriptive statistics for the departure breakwater phase of the scaled time series. Figure 33: Boxplot time series analysis of the departure breakwater phase: (**a**) SOG; (**b**) COG; * the time series analysis Figure 6. stages, from 0 to 5, by multiplying the result scaled in Equation (1) by 10.