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 As some numerical calculation on this equation, it was found that a series of deceleration telegraph orders, which composed the standard deceleration maneuvers, had been executed at each twice the time of constant Tp of the Eqs. (2). The standard deceleration orders based on this model and their simulated responses are shown in Fig. 7. A thick solid line, a thin solid line and dotted lines in the figure show a series of the standard deceleration orders, the simulated response and results of the questionnaire. Residual distances to the destination at each telegraph order were roughly coincided with results of the questionnaire. A verification of the model was executed using a ship-handling simulator. Fig. 8 shows a comparison of maneuvers of the model with the experts. A thick black solid line and thin gray solid lines show the model and the experts. This developed deceleration maneuver model was in agreement with the maneuvers of experts.
 
Fig. 8 
Comparison of deceleration maneuver of the model and that of the experts in simulator experiments
 
Fig. 9 
Schematic relation among the advance, current speed and object speed
 
 As shown in Fig. 9, the advance of the standard deceleration maneuver can be found by the definite integral from 0 to 2Tp of vessel speed: v(t), which is a solution of Eqs. (2). The following Eqs. (3) is a solution of the half down standard deceleration maneuver and the Eqs. (4) is of the graduated deceleration maneuver from the full ahead to the dead slow ahead.
 
 
DF-D = TPKP(O.865nF + 2nH +2ns + 1.135np) ・・・(4)
 
Fig. 10 
Rudder angles used by the experts for course alterations in simulator experiments
 
Fig. 11 
Schematic definition of the standard steering to alter course and relation among trajectory yaw rate, yaw angle and rudder angle
 







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