6o6 



SMITHSONIAN MISCELLANEOUS COLLECTIONS 



VOL. 51 



sent anticyclones of different intensity and extent. In the suc- 

 ceeding example we shall adopt the following values: 



X = o. 0001 2, which value applies exactly to the geographic lati- 

 tude 55*°- 



k — 0.00008, a value of the coefficient of friction that has been 

 deduced from the average angle of deflection as determined for 

 North America and approximately for Norway. 



y = 0.00004. 



R = 400,000. 



The meter, second, and kilogram, are adopted as units. The 

 assumed value of 7- is such that for r = R the formula (4) gives 

 a velocity of about 1 1 meters per second corresponding nearly to a 

 wind of force 5 on the Beaufort Scale. 



Since the velocity of the descending current of air according to 

 our hypothesis is equal to y multiplied by the elevation above the 

 earth's surface, therefore the assumption that 7- = 0.00004 is equiva- 

 lent to the statement that this velocity is 4 centimeters per second 

 at the altitude 1000 meters, or 12 centimeters per second at the 

 altitude 3000 meters, at least in so far as that hypothesis is appli- 

 cable to such a great altitude. Therefore we have to deal with 

 very small vertical velocities that are not at all improbable. In 

 Ids numerical example for a cyclone Oberbeck assumes that the 

 vertical component of the velocity is 2.4 times as large as this. 



Under the above given assumptions our theory gives the follow- 

 ing results for the wind velocity V (in meters per second), the 

 angle of deflection $, gradient G and difference of pressure (b — B) 

 in millimeters of mercury, for a series of different distances r 

 expressed in kilometers from the center. 



v 



<!> 



G 



b - B. 



Interior region. 



kilometers 

 meters 



millimeters 

 millimeters 



Exterior region 



V 



</> 



G 



B - b 



kilometers 

 meters 



millimeters 

 millimeters 



