The general Characteristics of the frequencyfunction of stellar movements 1 1 



Here two different cases may be separated 

 l:o when a -j- ß -f- 7 is an odd number. 

 Then clearly 

 (14) Kft = 0- 



2:o when a -f ß -f 7 is an even number. 



Then we proceed as follows, taking for instance the case of the moment X 211 : 

 We differentiate the equation (2*) first according to A, then according to D, 

 and obtain 



l li — î-jT /'/ / äx dy dz x 2 yz e ' ' 

 ( 27r ) JJJ 



1 3 1 Si 8A _1 J_ a 2 A 

 V4' 3 J J J - 2 ■ 2 ^ dl ■ W x ~ 2 ^ dA d D l 



or multipying with A 



Now as 

 we find 



and consequently 



4- 1 U — D 



A -' \8v (;il / ilf 



1_ / dM V _ 



A ~~ Ux n J ~' 110 101 " 011 ^ 20u - 



Similarly dealing with the other moments we find 



(15) 











^400 



=3V 2 0 0 





,J ' 0 0 2 



V 101 ^031 3 V 0 2 0 V 0 1 1 



^310 



=-' 3V 2 0 0 V 1.0 



^202 



= 2v 2 

 w i 01 



4- v v X = 2v 2 4- v v 

 i ' 2 0 0 ' 0 0 2 A 0 2 2 " ' 0 1 1 ~ 0 2 0 0 0 2 



^20 



— 9v 2 4- v v 



110 1 '200 1120 



^30! 





V 101 X 013 = 3v o02 V ull 



^130 



= 3V 020 V 110 



S 0 4 



= 3v o 0 3 





^040 



= 3V 0 2 0 













^ 211 



— 9v 

 "'101 



V 1 1 0 "f* V 800 V 011 







^121 

 X 112 



— 2v 

 "Hi 1 



— 5>v 



J ' 1 0 1 



V L!0 + V 020 V 101 

 V 0 1 1 ~t~ V 0 0 2 V 1 1 0 ■ 



According to equation (4*) now 



I 3 # 2 io = -v 30 o 



nm M B ilo --.V il0 |2 £ 201 



[2 B 1-0 = -v li0 [2 * X01 



[3 B 08 .=-v oso [3 £ 0Ü3 



LË, ^0 2 1 = V 0 2 1 ^111 

 ^012 = V 0 1 2 



