PAPER BY PROF. OBERBEOK. 165 



In accordance with these conditions our results are now as follows : 

 (a) for the outer region 



c R 2 i A 



c EU A \ 



c R 2 /" A 2 



<» = n - /l -4- — 



c R 2 i X ) 



(29) 



tan £ = j 

 (b) for the inner portion 



A 



M 



a? 



(30) 



* = -*{'+*=*' *' f l r) \ 



tan e = ^_./(r) 



In these equations 6 indicates the angle between the direction of the 

 wind and direction of the gradient, which latter coincides of course 

 with the radius of the circle. 



These expressions differ from the solutions given by Guldberg and 

 Mohn (not to speak of some small changes in the notatiou) by the 

 introduction of the function/ (r) in whose place the factor 1 is given 

 by them. 



The above-given expressions are subject to oue limitation. It is 

 necessary that we have jj. > z or fc > c, since otherwise for r = o f(r) 

 would become infinitely great, and in the inner region a deviation of 

 the wind from the gradient toward the left would occur instead of to- 

 ward the right-hand side. 



The deviation of the wind direction from the gradient is constant in 

 the outer region, but in the inner region it increases continuously and 

 for r = o it attains the limiting value — 



A 



tan € = 



Tc-c' 



I pass now on to the computation of the pressure. According to 

 equation (17) we have for the outer region — 



/ A 2 \ 

 P a = constant — kcp a y 1 + , ., J 



