110 SECULAR VARIATIONS OF THE ELEMENTS OF 



For the root ffl = 6".708S72, we get, 



6.90464 . 8.259874 372.8292 2 



Whence ^=140 6' 26".4; and log. ^=8.4605329, 



JVi =+0.028876, jy/ F =+0.000010724, 



JVi =0.0086913, JV/ =+0.000015283, 



Ni =0.0068988, JVi" =0.0000076500, 



_ZVi"'= 0.0014686, N 1 T "= 0.00000047644. 



For the root g,= 17":327793, we get, 



6.999264 3.944520 _ 4077.099 



^2 To 13 2 ' ^ 2 ' 10 13 Z2 ~ 10 13 



\Vhence /? 2 =299 24' 14".3; and log. JV 2 =7.2945933. 



JVi =+0.0019706, ^'"=0.0000040523, 



JV 2 ' =0.0108902, iV/ =0.000033445, 



J\r 2 " =+0.0083764, JV 2 " =+0.0000032793, 



iV 2 "'=+0.0416986, Nt"= +0.00000037702. 



For the root g 3 = 18". 726623, we get, 



6.863743 2.942093 _ 2202.062 



X 3 - ^ 13 ^ 3 - 13 " Z 3~ 13 



JQ13 3~ 10 1 



Whence /3 8 =246 47' 52".7 ; and log. ^,=7.5303588. 



2f, =+0.0033912, JST 3 ' T =+0.0000001979, 



JV 3 ' =0.0212985, 1V 3 T =+0.0000060102, 



JVs" ==+0.0242373, JV 3 r/ =0.0000005144, 



N= 0.0275294, N S T "= 0.00000005978. 



For the root <7 4 =0", we get, 



0.7257311 0.21 12699 _ 27.24758 



X * JQ10 -"* .V* JQ10 " Z 4 



Whence |8 4 =106 13' 51".5; and log. ^=8.4431120, JV 4 =0.02774035. 



For the root g & = 0.6616640, we get, 



OJ016924 0.2718731 .241.9923, 



x i> IO -"i > Vf> +~ ~io -^ V 6 > Z 6 IO -" 



Whence /? 6 =20 30 7 42".3; and log. JV/ r =7.0790118. 



iV s =+0.0014747, N 6 ' r =+0.001 19953, 



JV 6 ' =+0.0013543, jy/ =+0.00115794, 



^"=+0.0013265, jV 5 r/ = 0.00112520, 



jy,"=+0.0012685, N, Y "= 0.01179220. 



