130 SECULAR VARIATIONS OF TIIE ELEMENTS OF 



For the root <h= 6".631323, we get, 



, 0.768973 ... 0.6414600 Ar 33.22066 A72 



A/ * ni /V y /V & 



L4 **!> i'l in 11 l9 : in u IB 



Whence ^=129 50' 4".4; and log. ^=8.4791971. 



M =+0.030144, ^=+0.00001026, 



W =0.008215, NS =+0.00001454, 



N l "= 0.006664, N =0.000007438, 



^'"=0.001441, N 1 T "= 0.0000004539. 



For the root g 2 = 17".5137898, we get, 



6.914692 , 3.461327 AT _6089.390 



x n ~i3 2 ' y* ' 2 ' Zz * 5 



Whence /^ 2 =296 35' 29".2; and log. ^=7.1037540. 



N 2 =+0.001270, N 2 ' r = 0.000002201, 



JVj' =0.007063, N Z T =0.000019926, 



Nf =+0.005211, Ai" =+0.0000019167, 



A 2 '"=+0.048560, N. 2 "'=+0.0000002206. 



For the root g a = 18".667944, we get, 



2.032363 1783.3974 



A7 _ . 



10 13 3 ~ jo 13 3ii ~ i0 13 " 



Whence /3 8 =253 27' 40". 1 ; and log. JV 3 =7.6024178. 



N 8 =+0.004003, ^^=0.00000018, 



JV 3 ' =0.024768, N 3 r =0.00000318, 



JV 3 " =+0.025376, N 3 ri =+0.00000027, 



^'"=0.033934, A" 3 r// =+0.000000031. 



For the root # 4 =0", we get, 



0.7256453 0.2113461 _ 27.24508 



a 4 - +- ~~JO~10 "* 2/4 ~W* *' 2 *~ 10 16 



Whence /? 4 =106 14' 18".0; and N t =Nj=N t "=&c., 

 +0.02774066, log. 8.4431168. 



For the root g & = 0".6616647, we get, 



0.1016673 . _ 0.2717444 _24J L1 9412 



** - T~ ~W 1V 6 ' 2/5 - ~T 10 iV 6 > Z 6 10 * ' 



Whence /3 8 =20 30- 57".6 ; and log. JV 8 /r =7.0789098. 



N 6 =+0.001476, N,' T =+0.001 19925, 



N t ' =+0.001356, N* =+0.00115768, 



^"=+0.001329, N 6 rf = 0.00112471, 



JV 6 "'=+0.001259, ^""=0.01178812 



