602 SMITHSONIAN MISCELLANEOUS COLLECTIONS VOL. 51 



is negative throughout the whole exterior region and the factor 

 in brackets in the expression for V t in (3') is therefore positive; 

 hence V t is everywhere finite and negative whatever may be 

 the absolute value of 7- and therefore the intensity of the descending 

 current in the inner region of the anticyclone need not be subject 

 to any limitation whatever. Hence from the expressions (3) and 

 (3') there result at once the following values of the absolute wind 

 velocity, V = V V\ + V] and of the tangent of the angle of 

 deviation, tan^ = V t /V n namely, 

 in the inner region (r<i?) 



V = irryj 1 





x 



tan (p = 7— — (5) 



k + r 



in the outer region (r>7?) 



R2 I / r ~ f U ~ V \ * 



(4') 



in I X l 1 T o ^ 2 >\ (5') 



Hence the velocity of the wind in the inner regions is proportional 

 to the distance r from the center, but in the outer region at a suffi- 

 ciently great distance from the boundary circle it is inversely pro- 

 portional to that distance. The maximum wind occurs in the 

 outer region in the neighborhood of the boundary between it and 

 the inner region or even at this boundary itself depending on the 

 values of X, k and y. 



In accord with the expression (5) the angle of deviation is con- 

 stant in the interior region and smaller than the "normal" value 



which is given by tg <p = - 



k 



On the other hand in the outer region in accord with equation (5') 



the angle increases with distance and rapidly approaches this 



"normal" value. (It should be remarked that conversely, for 



cyclones there is in the outer region a constant angle of deviation, 



