82 SECULAR VARIATIONS OF THE ELEMENTS OF 



For the root #=5".465974, we get, 



1834742 



#;*/=- 



1Q 20 »> 9— I 10' 



Whence /3=88° 24" 34".2, log. #=9.2440059 

 # =+0.1753904 

 #' =+0.0085130 

 N" =+0.0054295 

 #'" =+0.00083283; 



For the root ^=7". 254515, we get, 

 , 1718569 



50945.0 AT 10464937 AT3 



#; z— — ^^ — # 2 . 



10 2 



#' r =— 0.000009216: 

 j\T =—0.000008230: 

 #"=+0.000003714: 

 #"=.+0.00000006374. 



10 :o 



, 4394108 AT 173815680 . 72 



Whence ft=21° 21' 39".0 ; log. #= 

 iV; =+0.0271450: 

 JVi =—0.0203915: 

 #"=—0.0155449: 

 #/"=— 0.00257312; 



1Q 20 -1. -*— 1Q a 



=8.4336898. 



#^=+0.000010892; 

 # r =+0.000011137; 

 #"=—0.0000028801; 

 #"=—0.00000011621. 



#; y 2 =-f 

 log. N* 



For the root # 2 =17".023581, we get, 



18688360. 

 Xi ~~ 10" 



Whence /3 a =335° 14 43".7 

 # =+0.0014594: 

 ffj =—0.0111657 

 # 2 " =+0.0112699: 

 #'"=+0.0222253 : 



For the root #,= 17". 79 7850, we get, 

 , 132834470 



40529780 



# 



3.058100 



10 



:7.1641841. 



N 2 ir =— 0.000001032; 

 #/ =—0.000006246 ; 

 #"=+0.0000003924; 

 #"=+0.00000002875 



# 2 2 . 



io-° 



#; Vt=- 



143133400 



10= 



#; 



12.343316 

 : 10 10 



# 2 



Whence &=137° 8' 14".l ; log. #,=7.1992139. 



# =+0.00158203; 

 ^3'=— 0.0131097: 

 #"=+0.0161968; 

 #'"=—0.0795892: 



# 3 ' r =+0.0000010517; 

 # 3 F =+0.000010491 ; 

 #"=— 0.0000006377; 

 #"=—0.00000004714. 



For the root </ 4 =0".6222813, we get, 

 3.414548 

 10 1 



a: 4 — +- 



# JF ; y*=- 



1.395571 



#/ 



58943.27 

 10'° 



#/ F2 . 



Whence /3 4 =67° 46' 10".2 ; log. #/ 

 # 4 =+0.000007604; 

 #/ =+0.00001 154|; 

 # 4 " =+0.000013373; 

 #'"=+0.000021626; 



10 

 =95.7964432. 



#/ r =+0.000062581 ; 

 #/ =+0.000070912; 

 # 4 " =+0.00153906; 

 #"=+0.0100524. 



