64 SECULAR VARIATIONS OF THE ELEMENTS OF 



31. These numbers are now to be substituted in equations (134) and (135). We 



must also add the logarithm of (1+m") or 0.0413927 to those of -^ ^f-Ji\ and 

 ° vii nana 



— 7,1" in order to obtain the numbers to be used in this computation. 

 n a ' 



For the root #=5".5550002, we get, . 



1859252 



982149.1 



-; y=- 



1Q 20 > »— I 1Q 20 ' 



Whence (3=8T 28" 12". 8, log. iV=9. 25 18088 



2f =4-0.1785701; 

 & =+0.0081595; 



N" =+0.0053002 ; 



N"' =+0.00086522 ; 



10422045 

 : 10 20 ' 



N JT =— 0.000008745 

 N T =—0.000007856 

 N TI =+0.000003321 

 iV F/ =+0.0000000649 



For the root # 1 =7".3790776, we get, 

 , 1535521 



4548921 



■"1 i 1 A20 ' Vl \ 1 Q20 ' * 



Whence &=18° 39' 8".9 ; log. 2^=98.4104497. 



186 590940 

 : i0» ' 



jy; =+0.0257306; 

 jV/ =—0.0194493 ; 

 N{=— 0.0151823; 

 ^'"=—0.00269026 ; 



For the root sr 2 =17".4034121, we get, 

 39188050 



JVi /r =+0.000010755 

 N^ =+0.000011106 

 2//'=— 0.000002714 

 N™=— 0.0000001142 



65870040 



■^2 1Q20 ' 2/2 + 1Q20 > 



Whence &=329° 15' 1".2; log. ^=97.2739118. 



4.079210 

 = 10 10 



N t =+0.0018789 

 J£ =—0.0145930 



2/ 2 " =+0.0125684 

 iV 2 "=+0.0449428 



2f/ r =— 0.000001477; 

 N/ =—0.000011248; 

 N™ =+0.0000006631; 

 2V 2 FJJ =+0.00000004893. 



For the root <7 3 =18".0984790, we get, 

 82704460 



1Q20 



03 3 =+- 



81987110 



y%=- 



10 s 



5.806087 

 : 10 10 



Whence &=134° 45' 1".6 ; log. iV 3 =97.3022770. 



N s =+0.0020058 

 JV 3 ' =—0.0167491 

 2V3" =+0.0173974 

 2V'"=— 0.0572983 



N 3 ir =+0.0000004469 

 JV 3 r =+0.0000065211 

 N/'=— 0.0000003597 

 NJ"=— 0.00000002674. 



