140 SECULAR VARIATIONS OF THE ELEMENTS OF 



For the root &=— 6".708872, we get, 



, 6.90464 AT 8.259874 A7 372.8292 ._, 

 ^ 2/i= T7«S— -tfiJ z i= TTub— ^i- 



-1— I 10 1B -1, tfl 10 15 -l» "1 1Q 



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



JVx =+0.028876, iV7 r =+0.000010724, 



JVi' =—0.0086913, JVr =+0.000015283, 



JV 1 "=~ 0.0068988, -^"=—0.0000076500, 



JVi'"=— 0.0014686, N™=— 0.00000047644. 



For the root g 2 =— 17".327793, we get, 



6.999264 _ 3.944520 _ 4077 .099 



^ JQ13 ^; Hi + JQ13 ""2> 2 2 " jq 13 -" 2 • 



Whence &=299° 24' 14".3; and log. iV 2 =7.2945933. 



JST 2 =+0.0019706, _2V 2 JF =— 0.0000040523, 



jy? =—0.0108902, JV/ =—0.000033445, 



JV 7 "/ =+0.0083764, iV 2 " =+0.0000032793, 



JV 2 '"=+0.0416986, _2V7"=+0.00000037702. 



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



6.863743 AT 2.942093 ... 2202.062 „. 



N* ; 2/ 3 = T7^ — #» ; 2 3 = — = STr — j\r 3 «. 



*"3 — 10 13 10 13 10 

 Whence /? 3 =246° 47' 52".7; and log. iV 3 =7.5303588. 



JV 3 =+0.0033912, N 3 17 =+0.0000001979, 



2ft =—0.0212985, 21/ =+0.0000060102, 



JV 3 " =+0.0242373, W/ 1 =—0.0000005144, 



.2^'"=— 0.0275294, _ZV" 3 "=— 0.00000005978. 



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



, 0.7257311 __ 0.2112699 ,_ 27.24758 „„ 



~4 I 10 „ -4, .V4— 10 , -»4. "4— 1Q 



Whence &=106° 13' 51".5; and log. iV 4 =8.4431120, _/V 4 =0.02774035. 



For the root g b = — 0.6616640, we get, 



, 0.1016924 0.2718731 241.9923 



-" B , y b — -| Yixio J - V e » z 5 — i TTvio -"5 "• 



■"5 T^ 1Q10 -*-'& > #5 I 1Q10 -"-'5 > "5 T^ I q 



Whence /3 6 =20° 30' 42".3; and log. iV/ =7.0790118. 



j\T 5 =+0.0014747, 2T b IT =+0.00119953, 



JV 5 ' =+0.0013543, 2TJ =+0.00115794, 



JV 5 " =+0.0013265, W=— 0.00112520, 



JV 6 W =+0.0012585, JV 5 "=— 0.01179220. 



