THE ORBITS OF THE EIGUT PRINCIPAL PLANETS. 



23 



0.21770124./+ 

 0.01632389./+ 

 0.00787688.0*+ 



0.00002157./+ 



+ 

 + 

 + 

 + 



Computation of the Equations of the Fowrth Degree, 



— fi7Tirr72l[773ir?^1 =— 24.50564851./+ 566.64705848.0— 

 _ [E3[hZ]EZ][Lj]=— 0.30970734./+ 5.22941589.0— 



- EgEana[ia=- 



- EEEHESEI]" 

 +2EgE3[EaES= 

 +2EgEmi3Eg= 



+3EaE3Eai51]= 

 +2EgEgiiaiin]= 



+ [73[niEEE!l= 



+ QIT]Q2][E^EI3 = 

 + [Ho]E3En][IZl= 

 -2d3ET][in]E!]= 

 -2EHIH!]E!II!I!1= 



-2EgEgEaEg= 



Sum of preceding terms= — 



Add pT7][TTI][i3[[DD = 



/— 47.51OO615.0 8 +8O9.58472777.0 2 — 5804.51597614.0 

 Sum is the value of equation (53). 



Whence we get/— 47.5100615./ + 784.52744834./ | _ 

 —5224.32519913.0 + 11982 - 285i 1576 



6.66710860.0 



0.30431699.0— 



0.22738681.0— 



0.00052594.0— 



0.70396439.0— 



0.40998748.0— 



0.00055368.0— 



0.00045875.0— 



+ 

 + 



+ 



2396 

 19. 

 49. 

 1. 

 1. 

 0. 

 3. 

 7. 

 0. 

 0. 

 

 

 

 

 

 



25.O5727943.0 2 + 580.19077701.0+ 2479 



01393568 

 51966234 

 95243773 

 18862983 

 56439984 

 00318986 

 92126177 

 19645470 

 00723785 

 ,00519060 

 .06742367 

 00052850 

 .00012858 

 01193875 

 00588878 

 00052136 

 32266834 



14461.60808412 



(Z>Zi> ***>). (82) 



57.682490072 

 0.140126895 

 0.063879543, 

 0.008008749 

 0.002192532 

 0.000200132 



In like manner, 



- EHE3II3EI]=- 



- E3[It]E3E£]=- 



- [E3E3[E3[I3=- 



- Ed]E3[IZIE«]=- 



- [E3Ei]Ei]E3=- 

 +2E3EEEI]Cn!]= 

 +3EgiEgEgiia= 

 +2[T3[^][Ej]Ei]= 



+2[T3[T3EI]E3= 

 + [^[^[TTg^^ 



+ EgE3E3EIl= 



-2H3[±3[III][!Z]= 

 -2[i3iigEgiia=: 



-3E3EgiII]E!l= 



Sum of preceding terms= — 



Add E3[I3E3[ni]= 



/— 29.5227974./+230.634324285 

 Sum is value of equation (54). 

 Whence we get / —29.5227974./ +172 

 —323.307557093.0+140 



/+196. 



<f+ 1 



2 + 1 



2 + o, 



a + o 



,/+ 0, 



+ o 



+ 0. 



+ 0, 



+ 0, 



940082515.0—103.390798939 



143482030.0— 0.682095055 



667804687.0— 0.924082807 



154121732.0— 0.096501781 



022536218.0— 0.045563277 



004275316.0— 0.010295162 



508856230.0— 0.329716905 



010061979.0— 0.027833971 



008860222.0— 0.066561313 



000639958.0— 0.011900801 



+ 3.684731101 



+ 0.000028044 



+ 0.000017559 



— 0.020330689 



— 0.016087486 



— 0.000044382 

 57.896897923.0 2 +2OO.46O72O887.0— 109.937035864 



/— 523.768277980.0+250.403089395 



737426362./) , (m 



.466053531 } -«* Z* Z» Zt)- (*U 



