156 SECULAR VARIATIONS OF THE ELEMENTS OF 



For the root # 6 =— 2".9236175, we get, 



0.3619656 



y« 



0.3547543 



10 10 ' a *~~ 10 10 



Whence &=133° 57' 9".9 ; log. N 6 ir =96.9640000 

 N 6 =+0.0032908 

 JV 8 ' =+0.0019005 

 JV 6 " =+0.0017026 

 jV 6 "=+0.0012109 



555.2999 

 10 10 ' 



tf t " = +0.00092045 

 N 6 r =+0.00075109 

 iV 6 FJ =— 0.01763875 

 JV 6 r/ =+0.00199548. 



For the root g 1 =— 25".9459126, we get, 



0.3001025 



2/7 = 



0.2204575 



10 io . i/7— i 10 



Whence /3 7 =306° 18' 4".6 ; log. iV/ F =97.7996217 

 N 7 =—0.0002651 ; 

 JV/=— 0.0002943; 

 iV 7 "=— 0.0027264; 

 iV 7 '"=— 0.0092432 ; 



59.06886 

 10 10 



N 7 zr =+0.00630408 ; 

 N 7 T =—0.0157084; 

 2V 7 rj =+0.00068938 ; 

 JV7"=+0.00007695. 



26. For an increment of -\- T \m T ", 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 fi TIZ =-\-^; or for ra" =4-^17072.73. 



A =/+38.068863 .g +181.870184; 

 ^'=^+23.1734071.^+ 98.3296126 

 .A" = /+18.7131480.#+ 72.8339084 ; 

 ^ 1= /+18.4537418.#+ 60.9399039 

 J 4 2 =/+13.2015603.#+ 9.072649; 

 J. 3 =<7 2 +26.3912337.#+ 9.975760. 



(515) 



j) =# 2 +44 .5053009 .#+588.060747 ; 

 J>'=# 2 +51.9990747.<7+604.958351 ; 

 D" = 2 2 +32.1620579.#+256.0169344 ; 

 i) i= ^_j_ 43 .9488809.*7+174.214515 ; 

 Z> 2 =# 2 +46.5094752.#+ 33.282984; 

 D 3 =f+ 3.4725714..9+ 1.70970867. 



2?==f#+32.45034JZ>; 



B > = |^+17.5802549 \b;) 

 B"=y+13.1390U\h. J 



G =— |<7+22.255630j [9.4381 189]Z>'; "] 



C =— {. ^+17.6102612 \ [9.1 138076]&'; ! 



<7" = +[6.3976676]&'; | 



(7'"=+[0.4411620]6' J 



(516) 



(517) 



(518) 



