134 



SECULAR VARIATIONS OP THE ELEMENTS OF 



For the root g b , we get, 



# 5 =— 0".6616623; 

 N 5 =+1.228747iV"/ r 

 iV 6 ' =+1.12937iV/ r 

 iV 5 " =+1.107383iV/ r 

 Nl" =+1.049923iV/ r 

 NJ =+0.965320^ 7 

 N b ri =— 0.938100iV/ r 

 iV 5 FJ/ =— 9.83017iV 6 JF 



For the root c/ 6 , we get, 



g 6 =— 2".9160771; 

 JV 6 =+ 3.46445iV 6 jr 

 JV 6 ' =+ 2.02862iV 6 JF 

 JV 6 " =+ 1.82900iV 6 jr 

 N™ =+ 1.317308iV 6 /T 

 iV/ =+ 0.816421^/' 

 iV 6 F/ =— 20.11546^/^ 

 N 6 rn =+ 2.161956^/' 



For the root g 7 , we get, 



g 7 =— 25".9350099; 

 N 7 =—0.0434072^/' 

 N/ =—0.0232236^/' 

 iV 7 " =—0.442046^ 

 JV/" =— 1.489419^/" 

 N 7 r =— 2.490578iV 7 JF 

 iy 7 F/ =+0.1093334iV/ p 

 iV/ /J =+0.0122517iV 7 JP 



log. 0.0894623; 



" 0.0528360; 



" 0.0442980; 



" 0.0211576; 



" 9.9846716; 



" 9.9722493?i; 



" 0.9925608«. 



log. 0.5396342; 



" 0.3072002; 



" 0.2622141; 



" 0.1196872; 



" 9.9119142; 



" 1.3035300«; 



" 0.3348464. 



log. 8.6375619rc; 



" 8.3659300?i; 



" 9.6454670n; 



" 0.1730168?*; 



" Q.3962995rc; 



" 9.0387530; 



" 8.0881970. 



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

 obtain the following quantities:— 



For the root g=— 5".2136546, we get, 



£C=-|- 



5.51372 



y- 



15.903915. 



10 18 ' u ~ ' 10 

 Whence /3=19° 7' 7".0 ; log. iV=9.0780045. 



N =+0.1196753; K 



N' =+0.0143703 

 N" =+0.01 04268 

 iT =+0.00220757 ; 



140.64952 

 10 15 • 



=—0.000025364; 

 N v =—0.000032468; 

 i\r" =+0.000027359: 

 i\r m =+0.00000082705 . 



