3 SECULAR VARIATIONS OP THE ELEMENTS OF 



For the root #=5".463878, we get, 



, 1846778 Ar . 61805.2 , T 10467663 __ 



x =-\ — i^o— N > y=-\ — yo^ ; z= — io* 5- • 



Whence /3=88° 4' 59".6 ; log. iV=9.2468080. 



X =+0.1765257; N ir =— 0.0000090343 



N' =+0.0085861 

 N" =+0.0054795 



N r =—0.0000080536 

 N TI =+0.0000035299 



N>» =+0.00084131 ; ^"=+0.0000000562. 



For the root # 1 =7".248636, we get, 



_ 1657215 _4358217 _173063980 



X <- H JQ20 -Nl> 2/l 1Q20 -"l» Z l '■ 1Q20 -"1 ' 



Whence /? 1= 20° 49' 9".6 ; log. ^=8.4304273. 



N, =+0.0269418 

 NJ =—0.0201896 

 NS =—0.0153962 



JV/ F =+0.000010692 

 N/ =+0.000010909 

 iV/' = — 0.000002753 



Nf =—0.00255069 ; N t " J =— 0.0000001086. 



For the root # 2 =17".014687, we get, 



18857840 40818170 _ 3.068621 Ar2 



~2 1Q20 "-'25 i/2 I JQ20 ^'25 ~2 ^Q 



Whence /? 2 =335° 12' 11".5; log. iV 2 =7.1659197. 



N 2 =+0.0014652; N 2 IT =—0.0000010637 ; 



N. 2 '=— 0.0112020; N 2 7 =—0.0000063803; 



JV 2 " =+0.0112957; . N 2 TI =+0.00000039104; 



JV 2 "'=+0.0225336 ; * iV 2 Fr/ =+0.00000002851. 



For the root g a = 17". 784902, we get, 



, 131044100 ,_ 141058200 ,_ 12.091655 _ r . 



£B 3=H yq* N * ; y ^ 10 55 N * m > %= jQib^ N£ 



Whence &=137° 6' 27".7 ; log. #,=7.2020253. 



N 3 =+0.0015923 

 N; =—0.0131805 

 #"=+0.0162544 

 N'"=— 0.0790463 



For the root <7 4 =0".6280042, we get, 



N 3 ir =+0.000001 0764 

 N 3 r =+0.0000109855 

 #"=— 0.0000006246 

 N™=— 0.0000000460. 



, 3.295099 , Tir 1.261747 . TIT 53937.18 ArJF2 



**=-) — jq M - N * ; y±=— i&»— N *> z s= 1010 N * • 



Whence &=69° 2' 50". 4 ; log. #/ F =95.8156910. 



# =+0.000007965 

 Nl =+0.000011808 

 #" =+0.00001 3989 

 #'"=+0.000022614 



# JF =+0.00006541 7; 

 #/ =+0.000073749; 

 #/' =+0.00156804; 

 #"=+0.01004537. 



