42 



SECULAR VARIATIONS OF THE ELEMENTS OP 



If we now put 1-4- ^.=2.5 in the values of (i,o), (2,0), (3,0), &c., [ 1 , 1 , | g,o |, |a,o| ,&c, 

 and substitute the resulting numbers in equations (26), we shall get the following 

 values of | q,q| , |i,i| , | g,a | , &c. 



077]=ff— 7".5125167 

 [FT\=g— 18 .5962297 

 RT«1=«y — 2.7662536 

 rvF1=<y— 0.6479572. 



[77^1 =ff— 5".5702558; 

 n~nn=.y — 11 .5785090; 

 fi^]=«y— 13 .1331088 ; ; 

 |TTT| =jy — 17 .5645194 ; 

 These values give 



{^H{ni\=9 2 — 17.1487648.ff+ 64.4952569126; 

 r^^TT[=ff 2 — 18.7033646.//+ 73.1547754652; 

 [T^r^l ^.9 2 — 23.1347752.ff4- 97.83886606206 

 | TTT|riT¥l = g 2 — 24.7116178,(74-152.06181843878 

 jTrnr^l— r/ 2 — 29.1430284.,7-i- 203.37094595357 

 fiTT|[T7il =^ 2 — 30.6976282.ff+230.67674429991 



[TT7||T^1 = /7 2 — 26.1087464.r/4-139.70448617829 

 fTTT| fiTil =<7 3 — 10.2787703.74- 20.78152636644 

 |4,4||7,7l == 9 2 — 8.1604739.r/+ 4.86778928589 

 [Hl]E3=ff 2 — 21.3624833..7-}- 51.44188735405 

 [TT1FT| =ff 2 — 19.2441 869.r/-i- 12!04956092697 

 [ 6 , e H 7 , 7 1 = /7 2 — 3.4142108.J/4- 1.792413937146. 



(153) 



(154) 

 (155) 

 (156) 

 (157) 

 (158) 

 (159) 



(160) 

 (161) 

 (162) 

 (163) 

 (164) 

 (165) 



[^\T^][jy\[F^} =(f— 47.8463930.^4- 821.59840712.ff 2 ) 



—5935.67265019.ff 4-14877.555887385 J ( 166) 

 rmi|o,5l|6,6|[77T1 =ff 4 — 29.5229572.ff 3 4-230.63766404.q 2 

 —523.77824644.ff 4-250.40826811 



(167) 



The difference between these values and the similar quantities depending on the 

 assumed masses being denoted by A, we shall find the following values, 

 /\[oTo]= 0. A R7i]=— 0.0001413, 



A |rm=— 0.2637408, A[^7}=— 0.0000168, 



A[|]3=— 0.0609358, A r^1=— 0.0000014, 



A[E3=— 0.0116549, A[jZ\=— 0.0000003. 



(168) 



AH3[H3=- 

 AF^1F^1=- 

 A[I3[!I3=- 



£[o7o][T7J]=- 

 A[TTT](T¥]=- 



AtMllMN- 



ApnnF^1=- 



A[JUJ[7-JJ=- 



AR~7ir^=- 



AjTTJJI^TJI^- 

 A[J7J]jJ7JJ=- 



-0.2637408.^4-1 

 -0.0116549.^+0. 

 -0.2753957.^+4 

 -0.0609358.^+0 

 -0.3246766.^+4 

 -0.0725907.^+1 

 -0.0001581.^+0 

 -0.0001416.^+0, 

 -0.0000171.^+0 

 -0.0001427.^+0 

 -0.0000182.^+0 

 -0. 00000 17.^+0. 



4691037; 

 06492077; 

 7643529 ; 

 33942800 ; 

 1532110 ; 

 2226629 ; 

 00275386; 

 00009381 ; 

 .00001647; 

 .00040139 ; 

 .00007250; 

 0000017370. 



(169) 



