## 4 Results
### Pattern of the Departing Ship Trajectory
#### 4.2.1 Unherthing Phase
After that, it turned to the south again from Leg 1_3. At this time, in the part of Turning Section 1, it plotted a course of about 188.90 degrees. The following analyzes the case of passing Todo on the right side, as is shown in Figure 29. Likewise, in Figure 29a, during the unherthing stage, 0-1 knots occupied the largest percentage of 80 or more to the unherthing of the vessel. After that point, according to Figure 29b, the SOG was more diversely distributed than in the left-side case. In particular, the ratio of 9-10 knots was analyzed as being the second most frequent after the ratio in the range of 1-2 knots, and it seems that the SOG increased rapidly during Leg 1. In Turning Section 1, an average of 10.02 knots was determined, and it was also noted that the ship continued passing through at the increased SOG. This corresponds to Figure 29c, with the most frequently measured speed comprising 10-11 knots. \begin{table}
\begin{tabular}{c c c c c c c c c c c} \hline \hline \multirow{2}{*}{**Scaled Time**} & \multicolumn{4}{c}{**Speed Over Ground**} & \multicolumn{4}{c}{**Course Over Ground**} \\ \cline{2-11}  & **Mean** & **Std.** & **Min** & **Median** & **Max** & **Mean** & **Std.** & **Min** & **Median** & **Max** \\ \hline TS 3\_1 & 0.24 & 0.25 & 0.00 & 0.20 & 1.00 & 178.92 & 48.49 & 0.00 & 177.30 & 345.00 \\ TS 3\_2 & 0.74 & 0.44 & 0.10 & 0.70 & 3.00 & 200.06 & 30.32 & 110.80 & 192.30 & 259.50 \\ TS 3\_3 & 1.04 & 0.54 & 0.10 & 1.10 & 2.60 & 196.78 & 27.03 & 125.60 & 192.40 & 277.50 \\ Leg 3\_1 & 1.38 & 0.88 & 0.40 & 1.15 & 5.80 & 224.21 & 53.54 & 8.90 & 229.85 & 357.00 \\ Leg 3\_2 & 2.62 & 1.61 & 0.10 & 2.30 & 6.70 & 239.37 & 61.14 & 9.80 & 263.85 & 358.10 \\ Leg 3\_3 & 4.94 & 1.57 & 0.80 & 5.10 & 8.30 & 258.06 & 22.67 & 199.30 & 261.90 & 327.80 \\ Leg 3\_4 & 7.09 & 1.07 & 5.00 & 7.00 & 10.40 & 211.20 & 19.19 & 185.10 & 203.60 & 258.60 \\ Berth 1 & 8.92 & 0.91 & 7.50 & 8.80 & 12.70 & 190.60 & 3.47 & 181.00 & 190.60 & 200.90 \\ Berth 2 & 10.22 & 0.97 & 8.40 & 10.50 & 11.80 & 188.61 & 2.60 & 184.00 & 189.50 & 193.40 \\ Berth 3 & 10.67 & 1.04 & 8.40 & 10.90 & 12.10 & 187.50 & 3.84 & 179.90 & 187.95 & 197.90 \\ \hline \hline \end{tabular}
\end{table} 
Table 10: Descriptive statistics for left-side unherthing phase of the scaled time series. Figure 27: Frequency analysis for the COG of the left side unherthing phase: (**a**) Unherthing; (**b**) Leg 1; and (**c**) Turning Section 1. In the case of the COG analysis results, according to Figure 30a, as the ship is un-berthing to the south, the value of between 150 and 200 degrees was the most frequent with 157 counts. In Leg 1, as the ship passes the right side of Todo to the southwest, as is shown in Figure 30b, the range 230-240 degrees exhibited the highest frequency at 118 counts. Moreover, in Turning Section 1 in Figure 30c, turning south again, the value of 195-200 degrees constituted the highest percentage. Figure 28: Boxplot time series of the unherthing phase passing through Todo to the left: (**a**) SOC; (**b**) COG; * the time series analysis for ship trajectories in the case of passing Todo on the left is expressed in 11 stages by multiplying the result scaled in Equation (1) by 10. It was divided into 3 stages in Unherth, 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. Figure 30: Frequency analysis of the COG during the right-side unherthing phase: (**a**) Unherthing; (**b**) Leg 1; and (**c**) Turning Section 1. The time series analysis of the ships passing on the right side of Todo is shown in Figure 31. In the case of the SOG, as is shown in Figure 31a, the difference with the analysis results of left-side passing is that it increases rapidly in Leg 1. Furthermore, the SOG decreases slightly in changing course in the southerly direction during Turning Section 1, and then increases to 10 knots or more as it continues.