152 



SECULAR VARIATIONS OF THE ELEMENTS OF 



,.1 



E =— [9.9807377]6"; 



E' =— j^+22.2497227|[8.9723624]&"; , 



E"=— { #+17.5578996 1[9.7501125]6"; j 



E"=— [1.0016537J&". j 



F =+[8.1679376]?/"; 

 F'=— [9.1453586]?/'; 

 .F"=— {#+14.604409 j [0.7927855]?/"; [ 

 ■{#+34.3888650 } [9.6907241]?/'. j 



F'"=- 



.B 1 ={ i H-4.6079205}J 1 ; 5 2 ={#+ 0.7255099|i 2 ; ) 



B A = {(/+18.8315378 \b. z . J 



C 1 =— {#+4.201 3246 \ [9.5433087]Z> 2 ; 1 



C 2 =— { #+0. 7437838 j [9.434971 1]6 2 ; • 



C 3 =+[0.8644527]6 2 ; f 



C 4 =+[0.8654649]6 2 . J 



E 1 =— [8.3529341]5 3 ; 1 

 # 2 =— {#+39.7796075 J[8.7437718]6 3 ; 

 E s =— { #+ 0.6616869 j [0.7242832]6 3 ; 

 E i= — [0.9859407]6 3 . 



(507) 



(508) 



(509) 



(510) 



(511) 



i^=+[7.7244692]6 4 ; 



^=—[0.3564628]^; 



F 3 =—\g-{- 2.7812615 J[1.5514854]& 4 ; 



7^=— {#+45.77751 1 [9.4626364]6 4 . 



(512) 



#*+47.5111025.#3+773.1351541.#M , g 



+4957.025771^+10802.91193 ( ~^' * 15 * 2 ' ^ ' ^ 10 -' 



^+29.5535550.^+95.6630308.^ 1 ■ 

 +52.197094.(7 + 0.534229 J _ ^ 4 ' * 6 ' * 6 ' %7; ' ^ ; 



The values of b x , b 2 , & 3 , and 6 4 are given by equations (406) ; and the values of 

 b, b', b", and V" are given by equations (405), by merely multiplying the coefficients 

 ofi^"by 1+^=1.05. 



If we now put the equations (513) and (514) equal to nothing, they will give 



9=— 5".1224110; #*=— 0".0104337: 



3-!=— 6 .5865615 ; # 5 =— .6748372 ; 



# 2 =— 17.3929254; # 6 =— 2.9245347: 



g 3 =— 18 .4092044 ; # 7 =— 25 .9437494. 



