46 



Walter Gyllenberg 



TABLE XIV. 



The values of the skewness — £ — and the excess — E— in the three main 

 directions of the galactic system. 



The skewness. 











H 





Z 



Sp. Group 

















N 



S 



N 



s 



N 



S 



B 



62 



1 +0.081 



82 



i— 0.374 







A 



57 



— 0.141 



42 



— 0.128 



50 



+ 0.016 



F and G 



67 



— 0.083 



62 



+ 0.039 



45 



4- 0.059 



K and M 



109 



— 0.15!) 



118 



+ 0.068 



90 



4- 0.013 



magn. < 4.9 



295 



— 0.134 



304 



+ 0.007 



196 



4" 0.008 







T Ii e 



excès 



s. 







Sp. Group. 





M 



z 





N 



E 



N 



E 



N 



E 



B 



62 



-f 0.014 



82 



+ 0.181 







A 



57 



— 0.114 



42 



+ 0.000 



50 



— 0 01« 



F and G 



67 



— 0.053 



62 



— 0.02« 



45 



4- ci; i2 



K and M 



109 



— 0.024 



118 



+ 0.075 



90 



4- 0.021 



magn. <L4.9 



295 



+ 0.004 



304 



+ 0.109 



196 



4- 0.116 



remarkable. Further the large difference between the values of S for the class B 

 stars in the S and H directions is very striking. 



The most interesting of these values are perhaps the results from the group 

 magn. < 4.9, since for this group it is possible to get a comparison with the same 

 characteristics found from proper motion observations. 



Recently Mr. Wicksell has finished an investigation of the proper motions 

 of the stars of magnitude brighter than 6.0, in which he gives the characteristics 

 up to the fourth order of the frequency function of the linear motions referred to 

 a system of coordinates very nearly coincident with the galactic system used in this 

 chapter and denoted by G. 



From his tables, which lie kindly lent me, it appears that the skewness and 

 the excess of the motions as projected on the S, II and Z axes are as given in the 

 following cheme. To get a comparison I reprint the values from table XIV adding 

 the mean errors. 



