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Figure 8 Turning trajectories and time histories of parameters
 
Ship A
 
Ship B
 
Table 1 Coefficients of correlation of simplified estimation equation
Index ψ1(10) ψ2(10) ψ1(20) ST AD DT
b0 109.824 129.985 54.325 -0.425 6.288 0.356
b1 6.865 -14.023 -1.063 -0.456 0.112 1.761
b2 -119.877 -160.810 -59.357 4.958 0.290 1.185
b3 4.466 -14.474 -13.994 1.152 4.096 -2.599
b4 -76.321 -63.442 -24.287 1.638 - -
b5 197.039 127.863 27.173 -5,719 - -
 
 
where, b0 - b5 are coefficients which have different values for each performance index as shown in Table 1. They had defined by the sea trial data in manoeuvring performance data base [21], σa is the same coefficient as shown in equation (7). The hydrodynamic derivatives Y'v, Y'r, N'v & N'r in equation (10) is calculated by Inoue's approximate formulae [22]. Δ, γ & l'R are given by,
 
 
 γ is a flow straightening coefficient and l'R is a experimental coefficient. aγ, aτ0 & aτ1) are given by experimental results. Besides, aH is an interaction coefficient between rudder and a ship hull and FN is a normal force of rudder.







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