XXV 



THE THEORY OF THE MOVEMENT OF THE AIR IN 

 STATIONARY ANTICYCLONES WITH CONCENTRIC 

 CIRCULAR ISOBARS 



By Dr. F. Pockels 



[Translated fromthe Meteorologische Zeitschrijt, January, 1893. Vol. X,pp. 9-19] 



The solution of the hydrodynamic differential equations for 

 the movement of the air in stationary cyclones with circular iso- 

 bars as attained b) T Oberbeck under certain simplifying assumptions 1 

 does not allow of application to the case of the analogous anti- 

 cyclone. This circumstance led Oberbeck to the conclusion that 

 there is really an important difference between anticyclones and 

 cyclones, in that the former must be a phenomenon dependent on 

 the latter and must originally cover ring-like regions adjoining the 

 cyclones. But on the other hand the synoptic weather charts show 

 us that quite frequently well rounded anticyclones continue to exist 

 for a long period of time although no well defined cyclones are 

 present; consequently a mathematical presentation of the move- 

 ment of the air in such anticyclones founded on the principles of 

 hydrodynamics must be possible, quite independent of the reason 

 for the existence of these anticyclones. In the following memoir 

 I will attempt to give such a presentation of this problem as may 

 be of interest as a supplement to Oberbeck's investigation, not- 

 withstanding the fact that it is based on certain special assumptions. 



The hypotheses under which I shall treat this problem are the 

 same as those that were adopted by Oberbeck, viz.. 



(1) That the system of winds is a stationary system, that is to 

 say, the movement at any place is independent of the time. 



(2) That the air is an incompressible fluid (this is allowable 

 because of the insignificance of the ordinary differences of pressure) 

 and that the temperature is constant. 



(3) That the portion of the earth's surface under consideration 

 is a plane surface and that the geographic latitude has a constant 



1 A. Oberbeck: Annalen der Physik und Chemie, 1882, N. F., XVII, 

 pp. 108-148. 



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