Norrbin 



Dimensional numbers are given in metric units unless other- 

 wise stated. Generally coefficients and relations are expressed in 

 non-dimensional forms. In addition to the non-dimensionalizing 

 "prime" system usually adopted use is here made of a new "bis" 

 system, further presented in Section III. 



A dot above a variable stands for a derivation with respect 

 to time. Partial derivatives of forces and moments are designated 

 by the proper subscript attached to the force or moment symbol. 



TABLE I 



Symbol Definition ... ^^ , Remarks 



Dimension 



2 

 Ag Channel section area L. 



2 



A Section area of hull L 



Ajj Added mas s, i=l,2,3;j = l,2,3 M 



" " I = 4,5,6; j = 4,5,6 ML^ 



" " i = 1,2,3; j = 4,5,6 ML 



Aj^ Added mass in horizontal oscill. 



in a free surface, neglecting 

 gravity M 



A' Added mass in horizontal oscill. , 



unbounded fluid M 



2 

 A|, Total proj, area of rudder L 



2 

 Ap^ Moveable proj. area of rudder L 



B Beam of hull L 



Cq Cross -flow drag coeff, , 3-dim. 



D Diameter of propeller L 



F Force vector MLT 



Fpj, Froude number on depth - F^^^ = V/Vgh 



Froude number on length - F^l = V/vgL = V" 



Moment of inertia 



Ijj Mass product of inertia 



J Propeller advance coefficient 



K Rolling moment about x axis 



Kq Propeller torque coeff. 



K* Propeller thrust coeff. 



818 



