386 
Symbol Dimensionless Form 
peer 
Z; x 
gel 
ae 
Zs Z, ‘= 
b b 1 512y? 
2 
Z, fine = 
$ Seay 
s s 1 72772 
= pl-U 
3? 
Z, 
Liz Z,'= ; 
=e 
3? 
z 
a 
B 
) 
5, 
6. 
a) 
s 
6 
p p'=1 
Alex Goodman 
Definition 
Derivative of normal force component with respect to 
* .- = 
acceleration component w 
Derivative of normal force component with respect to 
bow plane angle 6, 
Derivative of normal force component with respect to 
stern-plane angle component 6, 
Normal force at zero angle of attack 
Distance along the normal axis, directed from top to 
bottom (deck to keel), with origin taken at center of 
gravity 
The angle of attack; the angle to the longitudinal body 
axis from the projection into the principal plane of 
symmetry of the velocity of the origin of the body axes 
relative to the fluid, positive in positive sense of ro- 
tation about the y-axis | 
The drift or sideslip angle; the angle to the principal 
plane of symmetry from the velocity of the origin of 
the body axes relative to the fluid, positive in the 
positive sense of rotation about the z-axis 
Angular displacement of a control surface 
Angular displacement of bow planes, positive trailing 
edge down 
Angular displacement of rudders, positive trailing 
edge port 
' Angular displacement of stern planes, positive trail- 
ing edge down 
The angle of pitch; the angle of elevation of the x- 
axis positive bow up 
Mass density of water 
Roots of stability equation, i=1, 2,... 
