1H SECULAR VARIATIONS OF THE ELEMENTS OF 



In like manner we shall find for the root gr 1 =6".592128, 



, 0.692850 ._ 0.6389472 33.24230 



a^+'-jpr #,; y,= -JQH *iJ'%= - 10 u ^i- 



Whence ^=132 4tf 57".8; and log. #,=8.4525867. 



Therefore, for the root # we have, 



Ai =+0.028352, #/ r =+0.00000952, 



N{ =0.007838, #/ =+0.00001345, 



#/ =0.006321, #/'= 0.00000696, 



#,* =0.001325, #/"= 0.00000042. 



For the root <7 2 = 17".393390, we find, 



6.863228 v . 2.889470 ... 488.6204 . 



**=- -ir N v*=-\ 13 2 ' Za= ~" 2 



Whence /? 2 =292 49' 53".2; and log. N 2 =l. 1829906. 



^=+0.001524, N 2 ' r = 0.00000251, 



#; =0.008478, NS =0.00002140 , 



JV 2 " =+0.0069546, #/' =+0.00000208, 



JV 2 "=+0.0506672, A 2 r// =+0.00000024. 



For the root ff 3 = 1 a". 4089 14, we get, 



6.724398 .. 2.217061 , 1925.3617 .. 



Xa= "~"^ ; y * = 10" * ; z * = "To 15 3 



Whence ,=251 45' 8".6; and log. #,=7.5655490. 



# 3 =+0.003677, #,^=0.000000072, 



#,' =0.022428, # 3 r =0.000000557, 



# 3 "= +0.024477, N 3 ri =+0.0000000463, 



#,"=0.0375951, # 3 F// =+0.000000005. 



For the root ^=0", we get, 



_ 0.7256453 0.2113461 _ 27.24403 , 



** - +~ ~~f0IO "* &* JQ10 "tt Z * IQW 'f 



Whence /? 4 =106 14' 18".0; log. JV 4 =8.4431335. 



And # 4 =#;=#/=#;''=#/ r =# 4 r =#/ '=#/"= +0.027741 73. 



For the root g 6 = 0".661666, we get, 



. 0.1016992 , 0.2717211 , 77r 24.19165 .. 



*=H --- IQIO -- ^;y b = ~ w , -- #,^5^= w ^. 



Whence /? 6 =20 31' 24".6 ; and log. # 6 /r =7.0789383. 



#,=+0.001478, N^ =+0.001 1994, 



#; =+0.001 357, # 6 r =+0.0011577, 



#,"=+0.001329, # 6 r/ = 0.00112485, 



#."=+0.001259, #,"'=-0.0117882. 



