Ship Maneuvering in Deep and Confined Waters 



Symbol 



Definition 



Physical 

 Dimension 



Remarks 



L 

 M 

 M 

 N 

 Q 



R 

 R 

 T 

 T" 



Tl 



U 



V 



V*^ 



V, 



w 

 w 



X,Y,Z 



a 



a 



b 

 c 



g 

 g 

 h 

 "h 

 k.. 



Length of hull 



Pitching moment about y axis 



Moment vector 



Yawing moment about z axis 



Torque about propeller shaft 



Turning radius 



Resistance 



Hull draught 



Propeller thrust 



Kinetic energy of liquid 



Total flow velocity 



Velocity of origin of body axes 



Speed of water current 



Ship speed over ground 



Channel width in general 



Bank spacing, half of 



Hydrodynamic forces along body 

 axes 



Y-force due to rudder 



Y-force on rudder proper 



Depth to top of rudder 



Water surface elevation 



Slope of lift coefficient curve 



Height of rudder 



Flow velocity past rudder 



Cross-flow drag coeff. , 2-dim. 



Gap between rudder and hull 



Gravity vector 



Depth of water 



Vector in general 



Coefficients of accession to 

 inertia 



L 



L = L 



-2 



-2 



LT 



lt' 

 lt" 



LT" 



L 



L 



MLT 



MLT' 



MLT 



L 

 L 



LT' 



LT-^ 



L 



Undef. 



PP 



V" = Y/^f^ 



2W = We - Wp 



i = 1,2,3 



819 



