88 SECULAR VARIATIONS OF THE ELEMENTS OF 



For the root 0=5".46387S, we get, 



, 1846778 A7 .61805.2,, 10467663... 



*=+ 10 -^ ?=+ jo -~ N > Z= ' KP ^* 



Whence (3=SS 4' 59".6 ; log. #=9.2468080. 



N =+0.1765257; #"=0.0000090343; 



N> =+- 0085861 5 ^ =0.0000080536; 



#" =-(-0.0054795 ; N VI =+0.00000:35299 ; 



N" =+0.00084131 ; #"'=+0.0000000562. 



For the root ^=7".248636, we get, 



1657215 _4358217 _173063980 



X l - H -- /Sf-lJ 111 20 "!? Z l ~"20" ~~-"l 



Whence /3,=20 49' 9".6 ; log. #,=8.4304273. 



JVi =+0.0269418; #/ r = +0.000010692; 



JVY =0.0201896; #, r =+0.000010909 ; 



Nf =0.0153962; ^i"= 0.000002753 ; 



JV, =0.00255069; N l r "= 0.0000001086. 



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



18857840 40818170 _ 3.068621 xr2 



^ 2 ~ 20 Z2 ~ 10 ' 



10 20 2 ~ 101 



Whence /3 2 =335 12 1 11".5 ; log. # 2 =7.1659197. 



# 2 =+0.0014652; #/" == 0.0000010637; 



# 2 ' =0.0112020 ; N, r =0.0000063803 ; 



N 2 " =+0.01 12957 ; N t T ' =+0.00000039104 ; 



# a '"=+0.0225336 ; # 2 F7/ =+0.0()000002851. 



For the root 3 =17".784902, we get, 



131044100 141058200 _ 12.091655 



'"> 2/3 I'JO ** 2 3 1 " 



Whence /3 3 =137 6' 27".7 ; log. # 3 =7.2020253. 



# 3 =+0.0015923; # 3 ' r =+0.000001 0764;. 



# 3 ' =0.0131805 ; # 3 r =+0.0000109855 ; 



# 3 " =+0.0162544 ; # 3 r/ =0.0000006246 ; 



#T= 0.0790463 ; #/"= 0.0000000460. 



For the 'root 0r 4 =0".6280042, we get, 



3.295099 r 1.261747 53937.18 



z =-r inio ^4 ; 2/4= ,mo ^4 ; .=- im o ^4 



Whence /3 4 =69 2' 50".4 ; log. #/ r =95.8156910. 



# 4 =+0.000007965 ; # 4 ' r =+0.000065417 ; 



# 4 ' =+0.000011808 ; #/ =+0.00007374!) ; 



# 4 " =+0.000013989; # 4 " =+0.00156804; 



#,"=+0.000022614; # 4 r ' 7 =+0.01004537. 



