150 SECULAR VARIATIONS OF THE ELEMENTS OF 



For the root &=— 6".5971682, we get, 



, 702346 _ 650773.9 _ 33379780 



X i- H TQ20 ' 2/l ^Q20 ' Z l ^Q20 » 



Whence /? 1 =132° 49' 3".9 ; log. ^=8.4576530. 



N x =+0.0286850; N X I¥ =+0.000009582 



N; =—0.00795527 



N;' =—0.00641252 

 N;" =—0.00134306 



For the root g 2 =— 17".4073173, we get, 



NS =+0.000013530 

 #/' =— 0.000007180 

 iV=— 0.0000004267 



68779790 , 28706100 4.840416 



; y 2 =- 



~2 2Q 20 , U2 ~T JQ20 ' "2 jqio . 



Whence &=292° 39' 13".8; log. iV 2 =7.1874476. 



JV 2 =+0.0015397; N/ r =—0.000002485 ; 



iV 2 '=— 0.0085764; N 2 T =—0.000021105; 



jy 2 " =+0.0070528; 2V 2 F/ =+0.0000021066; 



iV 2 '"=+0.0508607 5 iV/ J =+0.0000002417. 



For the root g a =— 18".4175195, we get, 



67277160 _ 22295350 _ 1.9362943 



^3 JQ20 ' 2/3 JQ20 ' Z 3 JQ10 » 



Whence &=251° 39' 34".l ; log. iV 3 =97.5635231. 



iV 3 =+0.0036604; ^=—0.00000006466; 



iVT 3 ' =—0.0223376 ; N 3 r =—0.00000042853 ; 



2V 3 " =+0.0243961 ; N 3 TI =+0.000000036083 ; 



N z "'=— 0.0377972 ; N 3 T1 =+0.00000000039585. 



For the root <7 4 =0", we 



_ 0.7324877 _ 0.2141555 _ 27.41415 



X i -\ Jqio > 2/4 JQ10 ' Z i 1Q10 » 



Whence /3 4 =106° 17' 49".9 ; log. iV 4 =98.4446362. 



iV 4 =iV 4 '=^ 4 "=iV 4 '"=iV/ F =i^ r =^ 4 r/ =iV/"=+0.0278379 



For the root # 6 =— 0".6675803, we get, 



0.1042216 0.2727222 _ 245.6575 



x i — ~\ JqTo ' 2/5 — + 2O 10 ' %b 10 10 ' 



Whence &=20° 55' 5". 7 ; log. i\r/ r =97.0749906. 



jV 5 =+0.00146716 ; ^=+0.00118851 



$1 =+0.0013459; NJ =+0.00114755 



N» =+0.00131823; N 6 n =—0.00110001 



JV 6 '"=+0.00124781 ; #/' '=-0.0117785. 



