44 



SECULAR VARIATIONS OP THE ELEMENTS OF 



Ci= {4.365092844 — #j[9.2840950]Z> 2 : 

 G 2 = {0.6879108996— ^}[9.1824311]6 a : 

 <7 3 =— [0.6832317]& 2 ; 

 <7 4 =--[0.6834824]& 2 ; 



# 1 =+[7.8267723]Z> 3 ; 



E 2 = {43.7345641 — #j[8.2017618]Z> 3 ; 



E z = { 0.648004419— #j[0.7610455]& 3 ; 



^ 4= +[1.0655652]Z> 3 ; 



(186) 



(187) 



(188) 



=(*<>*» Zcfr). (190) 



.^=—[7.0339474]^; 



^=+[0.2724895]^; 



F 3 = { 2.770664438— g\ [1.7737962]Z> 4 



F i= {50.3649997 — #j[9.1128486]Z> 4 



^_47.8463930y+796.20272817.^-5344.10960488.(7l y (m) 



+ 12307.3911771 J vx ' ~ 1 ' * ^ ' v 



g 4 — 29.5229572.^+172.74076612.^— 323.31739720.^ 1 



+140.47094066 j 



And lastly, the values of b L , b 2 , b 3 , and & 4 become, 



^={0.00002188686 [95.3401834] j JV +[96.8635004] JV' 



+[97.3236905] JV"+[97.0504994]JV" 

 6 2 ={ 0.000001420383 .... [94.1524054] * JV +[95.6682302]JV 

 +[96.1186392] JV"+[95.8170069]JV" 

 6 3 ={ 0.0000000610884 . . . [92.7859587]} JV +[94.2994239]JV 

 +[94.7468016] JV"+[94.4366545]JV" 

 Z> 4 ={ 0.00000000812296 . . [91.9097143] } JV +[93.4227230]JV 

 +[93.8695157] JV"+[93.5577417]JV'" 

 The values of b, b', b", and b'" remain- the same as in equations (118). 

 Equations (189) and (190) give, when the second members are put equal to 0, 

 g= 5".34449540; &= 0".616685510; " 



ffl = 7 .53805074 ; g b = 2 .72773208 ; 



^ 2 =17.12785195; g 6 = 3.71791243; 



#,=17 .83599491 ; .97=22 .46062783. 



The solutions of equations (170-191) will now give the following values, re- 

 membering that the coefficients of equations (84-97) remain unchanged. For the 

 root g, we get, 



} (191) 



(192) 



#=5".3446763 ; 

 JV' =+0.10318901JV 

 JV" =+0.0652640JV 

 JV" =+0.01001010JV 

 JV /r =— 0.0001170589JV 

 JV r =— 0.0001036091JV 

 N ri =+0.0000476249 JV 

 JV r "=+0.000000750320JV 



log. 99.0136340 



" 98.8146736: 



" 98.0004383: 



" 96.0684043rc; 



" 96.0153978^; 



" 95,6778341 ; 



« 93.8752464. 



