PAPER BY PROF. OBERBECK. 



195 



Furthermore, if we make the very probable assumption that the vari- 

 ations in pressure here considered depend exclusively on the moveoieut 

 of rotation, that therefore 



where jh rei)resents the pressure at the equator, then is 



P-Pn 



^3 = 



P. 



Therefore 



^3 = 



cos- 



^"(31.2 



295-G1.094 cos^ d 



=0.0413 cos- ^-0.0800 cos" ^ (19) 



But the computation of K3 had already given 

 eR' _, ^ ( 3;^, 



,="^008^ d I '1^+X2-Xi cos^' ^ \ 



wherein the appended constant can be omitted. 



Hence, the two expressions for ^3 can be put equal to each other, 

 and for the computation of the motion of rotation we obtain the two 

 equations 





+j3 =0-0413 



If in these we put 



then we shall obtain 



^=0379600°^; c=280°»; 

 f=0.00007292 



,Yi =0.0292 € 

 j2= 0.0836 xx- 



Hence, the relative angular velocity of tlip rotary motion of the air is 

 j=0.0293 s I cos- ^-0.0830 \ (20) 



This is small in comi)arison with f, the angular velocity of the earth, 

 therefore it nowhere leads to improbably large movements of the at- 

 mosphere. If we form the product xi ^1 "^^ obtain for it the value 

 13.58 metres per second. But the true linear velocity corresponding to 

 the rotatory motion is 



I 



= X- R' siu ^. 



'he maximum value of this occurs at S. latitude 56° 27' and amounts to 

 59 metres per second. From the S. pole to 1 6° 49' S. latitude the average 



