186 S. Schuster and H. Schwanecke 
dP, ae = OKA , 1 
ap Pelli) iu be C, Kk Kp cos #? b TA Rr + K, oes i. 
A,b,h, 2 A i hy 
+ as sin § F (34 
7 3 a) 
and 
dc 
a = Ce K ale cos ® b ae Kz + K, + Kz 
p A,byh, 2 a i hy 
OTB 3 
with 
1 OK 
a = h at 
Bake | Dee aie eee ea 
b iy 
Being the terms dCy /dB and dCp y/ 4p the position of the initial lateral metacenter above 
lowest point can be “found [7]: 
eu y (35) 
Analogously, stabilizing moment and lateral force for any inclination B can be found. The 
different values K,, and dK ,/dA have to be taken [7] considering the wetted breadth for 
both panels relative to the profile length. In addition to that a dependence on B appears, 
i.e., for the moment there has to be written: 
Mt ees M 
Lee he Ea ee 
fi oA A oh 2B 
For the case of the submerged dihedral foil as well as of a submerged flat foil all the terms 
taking care of the change of the aspect ratio and of the breadth will disappear. The rolling 
stability of submerged foils therefore is principally less than that of dihedral foils piercing 
the surface. 
As in the case of vertical stabilization, a lateral stabilization might be possible for 
submerged foils as well if the depth of submergence is low or if horizontal stabilizing plates 
are arranged near the free surface. 
