44 



O. A. Åkesson 



The quantities a and h are computed with the help of the method of least squares. 

 The weights are supposed to be about proportional to the number of observations. 

 Thus, in the zone N^-\- S^, 1 have assumed the weights to be 5, 8, 10, 13, 9, and 

 3 respectively. For tlie different zones I iiave in this way obtained the following 

 expressions for the angular velocity, considered as a function of the spot-area. 



Zone + S, 



F= 35'.4til + 0'.717 + O'.Ulo^; 



» + S., 



V = 35' 461 + 0'.646 + O'.089co ; 



» + S] 



F= 35'.461 +-0'.417 -1- O'.078(o ; 



» + S, 



V= 35'. 461 -j- 0'.095 + 0'. 162(0 ; 



» N. + S, 



V = 35'. 461 — 0'.124 4- 0'.125m ; 



» N,^ + S, 



F = 35/461 — T. 192 + O'.640co . 



The quantity h has proved positive in all the zones, and as for the size, it is 



bout the same. The zone N,. -\- S,. forms, however, an exception, due to the fact 



of a'o having got too small a value in this zone for 

 be accidental. 



: 1, which must evidently 



Fig. 1. The angular Velocity V at different Latitudes as a Function of ( 



In fig. 4 F is graphically represented as a linear function of m . These lines 

 are, undoubtedly, severally determined with considerably uncertainty, but as the 



