6lO SMITHSONIAN MISCELLANEOUS COLLECTIONS VOL. 51 



The wind-velocity at the boundary of the interior region is 



r R 

 V R = - = 12. 16 meter per second 



4 cos <p 



which is rather larger than for the preceding solution as tabulated 

 above. 



In case y = k and n = 2 the equation (la') becomes 



idp_ 3__ 2 / lf ! \ x l B / i?' 



= -7/ 



r 1 - _ . U-iPr 2--1 X 



p dr 4 ' \ 2 R 2 / 2 \ r 2 



X 



i? 2 / \ r 



1 + 2 £L log ( 1 



2 R 2 



3 M R\ ( , 1 r 2 



+ leg 1 1 — 



2 r 2 \ 2 i? 2 



and for r = R this gives the special value of the gradient at that 

 distance 



p 1 J/? 



C B =£11^:== 1.484 mn 



per in kilometers or one degree of a great circle which now holds 

 good for both sides of the boundary circle. In the interior region 

 the gradient now diminishes with distance from the center more 

 slowly than in the previous case when w is constant; therefore in 

 spite of the above given smaller value of G the total difference of 

 pressure between the center and the boundary circle still remains 

 about as large as before. In the exterior region the distribution 

 of pressure and wind remains very similar to that of the example 

 previously computed, it is indeed plausible that this depends prin- 

 cipally on the total intensities of the descending currents (which 

 are the same in our two examples) and only slightly on the horizontal 

 distribution of the descending velocities. 



Perhaps it would be of interest to compare the solutions that 

 we have obtained in the manner above explained for cyclones 

 under various special assumptions as to y and n, with cases actually 

 observed, in order to ascertain what law as to the ascending cur- 

 rent best corresponds with the facts. In the case of anticyclones 

 the data presented in the daily synoptic weather chart is not so well 

 adapted to such a comparison with theory because the differences 

 of pressure and the wind force are generally too slight to be obtained 

 from them with sufficient accuracy. 



