156 



SECULAR VARIATIONS OF THE ELEMENTS OF 



For the root = 2".9236175, we get, 



03679656 0.3547543 _555.2999 



~; y *~~ io 10 "io 10 " 



Whence ft=133 57' 9".9 ; log. #." =96.9640000. 



# 6 =+0.0032908 ; N" =+0.00092045 ; 



#' =+0.0019005 ; N 6 T =+0.00075109 ; 



# 6 "=+0.0017026 ; W =0.01763875 ; 



# 8 '"=+0.0012109 ; # 6 =+0.00199548. 



For the root 7 = 25".9459126, we get, 



0.3001025 0.2204575 _ 59.06886 



JC 7 == |7)i6 y~ l ~ IO 10 ' Z-l ~ IO 10 



Whence ft=306 18' 4".6 ; log. #,-=97.7996217. 



# 7 ,= -0.0002651 ; NJ r = =+0.00630408 ; 



#/ =-0.0002943 ; N, T =-0.0157084 ; 



#,"=-0.0027264 ; #/' =+0.00068938 ; 



#,"=-0.0092432 ; #/"= +0.00007695. 



26. For an increment of + I yn m , to the assumed mass of Neptune, we shall 

 obtain the preliminary computations by merely making all the coefficients positive 

 in equations (345-350). We shall then obtain the following 



Fundamental Equations for 1 u r "=+ I V or for m m =lH-17072.73. 

 4=0^+38.068863.0 +181.870184; 

 A =/+23. 173407 1.0+ 98.3296126; 



4"=/+18.7131480.0+ 72.8339084; 



60.9399039 ; 

 4 2 =0 2 +13.2015603.0+ 9.072649 ; 

 4 3 =-/+26.3912337.0+ 9.975760. 



D =^+44.5053009.0+588.060747 ; 



Z>'=0 2 + 51 - 9990747 -iH- 604 - 958351 ; 

 X> = ^4-32.1620579.0+256.0169344 ; 

 ^=^+43.9488809.0+174.214515 . 



Z> 2 =0 2 +46.5094752.0+ 33.282984 ; 

 D s=7 2 + 3.4725714.0+ 1.70970867. 



=|0+32.45034|6; ^=}0+l 7.5802549 (&; ) 



7J= 10+13.139034^. ) 



tf ={0+22.255630| [9.4381 189]Z>'; 1 

 m _ < i it cinoioro 1 1 oamrftW. 



(515) 



(516) 



C r "=+[0.3976676]&'; 

 C"'=+[0.4411620]6' 



