154 



SECULAR VARIATIONS OP THE ELEMENTS OF 



For the root g b , we get, 



g b =— 0".6735122; 

 N b =+1.23718iV 5 JF 

 N b ' =+1.133973iV/ F 

 N b " =+1.110407^/" 

 N b "' =+1.05043iV 5 JF 

 N b r =+0.964612iV/ r 

 iV 5 FJ =— 0.937483iV/ F 

 N™=—9.19928N b ir 



For the root g 6 , we get, 



# 6 =— 2".9236175; 

 N 6 =+ 3.57518iV/ r 

 JV 6 ' =+ 2.06480iV 6 /r 

 N 6 " =+ 1.84969iV 6 /F 

 N* =+ 1.285565iV 6 J ' 

 JV 6 r =+ 0.816008^/' 

 2V 6 F/ =— 19.1632iV 6 JF 

 iV 6 FJi =+ 2.16794^/" 



For the root ^r 7 , we get, 



g 7 =— 25".9459i26; 

 iV 7 =— 0.04204902^" 

 2V 7 ' =— 0.04668482V 7 " 

 2V 7 " =— 0.432476JV/ r 

 N," =— 1.4662242V/ r 

 2V 7 F =— 2.4917852V 7 JF 

 2V" 7 F/ =+0.10935472V 7 " 

 2V 7 F "=+0.01220592V 7 " 



log. 0.0924317 



" 0.0546030 



" 0.0454822 



" 0.0213676 



" 9.9843526 



" 9.9719633w 



" 0.991 1943?* 



log. 0.5532976 



" 0.3148787 



" 0.2670992 



" 0.1190940 



" 9.9116944 



" 1.2824678™ 



" 0.3360471. 



log. 8.6237552^ 



" 8.6691754™ 



" 9.6359617™ 



" 0.1662004?i 



" 0.3965106?! 



" 9.0388375; 



" 8.0865696. 



25. If we now substitute these values in equations (408) and (409), we shall 

 obtain the following quantities: — 



For the root g=— 5".1262710, we get, 



, 610397 , 1587285.2 14044917 



y=- 



I 1Q 20 



Whence 0=21° 1' 11".9 ; log. N= 

 2V =+0.1211476 

 N' =+0.0148742: 

 N" =+0.01 06545 ; 

 IV" =+0.00212865 ; 



10 20 ' 10 20 ' 



--9.0833149. 



2V JF =— 0.000025246; 

 N v =—0.000032062; 

 2V F/ =+0.00002813; 

 IV FZ =+0.000000697. 



