54 



Sven Wicksell 

 TABLE XI. 





1.0000 



0.8422 



0.6205 





4 ß< 4 0 0 



_|_ 1.5776 



4~ 0.0004 



0.2952 





4 B?, 0 



— 0.6030 



— 0.3645 



4~ 0.0807 





4 B?. 0 



-f- 1.8696 



4~ 0.1504 



— 0.1690 





*fll8. 



0.1314 



— 0.1493 



4- 0.0247 



s- 



4 ß*oo 



0.4692 



j- 0.0583 



— 0.0154 



.4. 



iß D81 



-f- 0.0270 



— 0.0894 



— 0.0314 





4 ß?„ 



+ 1 -0008 



4- 0.1105 



— 0.0607 





4 ß'o'. 3 



+ 1.1181 



4~ 0.3232 



4- 0.0560 



•6' 



4 ß OO 4 



+ 0.6483 



4-0.1671 



— 0.0084 



& 



4 ß7o8 



— 0.1591 



— O.ioii 



4" 0.0182 





4 ß7oe 



+ 1.6343 



4- 0.1560 



— 0.2381 





4 ßt'o ! 



— 1.1396 



— 0.2920 



4- 0.1245 





4 ß':', , 



+ 0.9084 



4- 0.1518 



4- 0.0201 





4 ß?i , 



4- 0.8277 



4- 0.2351 



4- 0.0517 





4 b { :\ , 



— 0.3864 



— 1.0339 



4- 0.1797 



23. Before discussing the tables we will derive the ß-characteristics. They are 



J l r iv 20 0' J 2 ' x ' 0 2 O ' u 3 ' -"O02i 



■kKs) n (s) y® 



1 2 (S) (») ' ' 1 3 (8) (s) ' '23 («) («) ' 



°i °2 °1 °3 °2 °3 



gW __ -"iß 

 jk of of of 



We see that, save the dispersions a, £Aese characteristics are abstract numbers of 

 dimension zero. They are independent of and it will be shown later on that they 

 are practically independent also if & 1 varies with galactic latitude. 



We find the following tables of the ß-characteristics for the different q . 



TABLE XII. 





1.0000 



0.8422 



0.6205 



0.4500 





1.8412 



1.6674 



1.3870 



1.1247 







1.1308 



0.9024 



0.6602 





1.0238 



0.9267 



0.7699 



0.6230 





4- 0.058 



+ 0.023 



— 0.066 



— 0.241 





— 0.053 



— 0.077 



— 0.138 



— 0.242 





— 0.005 



— 0.040 



— 0.134 



— 0.332 



