Vortex Theory for Bodtes Moving tn Water 
We use the classical formula 
curl curl A = Vdivin © AA, 
a2 
where A is the Laplace operator: A = v- = Lasinage a and V 
the operator ne Os , the system of rectangular axes 
Me ee SG 
O(x, » X55 xX being right- hace By Poisson's formula : 
i) 
-V(M) if M e D.. 
fr if MeD 
e 
Furthermore it is easily seen that 
n AV a 
1, fff et) 
psf ae MM! ase) + fff erp a = | ; 
e (nV) yor. 
div A if at dS(M') + | 
curl A 
iH 
curl 
