94 



SECULAR VARIATIONS OP THE ELEMENTS OP 



For the root #=5". 463855, we get, 

 , 1847131 __ 



-#; y= 



63087.5 



l 1Q 20 -■» a— i 1Q; 



Whence /?=88° 2 37".9 ; log. #=9.2468998 

 #=+0.1765630; # 



# =-(-0.0085881 

 #"=+0.0054808 

 #"=-)-0.00084153; 



#; z-- 



10467693 



10 2 



# 2 . 



-0.0000090176 

 # F =—0.0000080444 

 #"=+0.0000035813 

 #"=+0.0000000609, 



For the root <7 1 =7".248571, we get, 



_ 1656245 _ 4351968 173055600 



10-° " J1 ' 10 



Whence ft=20° 50' 7".8; log. # 1 =8.4298727. 



10 2 



# =+0.0269075 

 #' =—0.0201633 

 #"=— 0.0153761 

 #'"=—0.0025474 



For the root y 2 =17".014590, we get, 



Nr =+0.000010666; 

 # F =+0.000010891 ; 

 # rJ =— 0.00002774; 

 #/"=— 0.0000001116. 



18874270 



10 2 ' 



# 



40848060 



#2= - 



# 



3.068734 



# 2 . 



Whence (3 2 =335° 12' 0".8' 

 # 2 =+0.0014663 

 # 2 '=— 0.0112099 

 # 2 " =+0.0113035 

 # 2 '"=+0.0225521 



10 20 ~' 1 ' ~ 2— 10 1 

 log. #=7.1662319. 



#/ F =— 0.0000010862; 

 # 2 F =—0.000006540; 

 # 2 F/ =+0.0000004019; 

 # 2 FJ/ =+0.0000000294. 



For the root # 3 =17".784762, we get, 

 , 131051610 __ 



-#; y t =- 



141079200 



# 



12.088926 



10 20 ^' 3 ' a6 ~ 10 



Whence &=137° 6' 45".3 ; log. #=7.2021538. 



# 3 =+0.0015928 : #/ F = 



#' =—0.0131842 

 # 3 " =+0.0162587 

 # 3 '"=— 0.0790583 



For the root # 4 =0".6142754, we get, 



10 1 



# 5 



0.0000010705; 

 # 3 F =+0.000010999 ; 

 #"=—0.000000627; 

 #"'=—0.0000000463. 



. 3.385189 A7JF ,1.399525 53091.32 



»4=H — jqio— - N i ; y±=-\ — io*—-"* ; Zi= "»« " J 



Whence &=67° 32 18".7; log. #/ F =95.8388230 



10 1! 



jy 4 =+0.000008364 

 #; =+0.000012715 

 #" =+0.000014729 

 #'"=+0,000023832 



#/ F = +0.000068996; 

 # 4 F =+0.000077824; 

 #" =+0.00167466; 

 #,"=+0.01002282. 



