MOVEMENT OF AIR IN ANTICYCLONES POCKELS 603 



i.e., the "normal" 4 while in the inner ascending region the angle 

 of deflection from the gradient increases as we proceed inward.) 

 Hence in the interior region of an anticyclone of the special struc- 

 ture here assumed the paths of the winds are logarithmic spirals. 

 The distribution of barometric pressure remains now to be deter- 

 mined by substituting the value of V n and V t above determined 

 in the equation (la'). This latter equation is thus transformed 

 into the following: 



r(2k + r )( p 



1 + (*" +- r f ] r 



yl 2 



2k 



These expressions need only to be multiplied by a constant factor 



P 



in order to obtain the gradient G or the change of barometric 



P 



pressure per in kilometers in the direction of the radius vector r : 



10 333 X 981 



to this end the constant a has the numerical value — 



700 X in 000 



= 0.0012 and p has the value 1.293 where the units are a kilogram 

 of mass, meter of length and second of mean solar time. 



Equation (6) shows that in the interior region of the anticyclone 

 the gradient is simply proportional to r as we found to be also the 

 case with the velocity of the wind. In the exterior region of the anti- 

 cyclone according to equation (6') the law is much more complex 



4 This term was introduced by Guldberg and Mohn in 1876. See No- 

 XI of this present volume, pp. 143—146. — C. A. 



