THE ORBIT OF NEPTUNE. 



23 



ACTION OF URANUS. 



I.— ;zrO;y' = 0; . = 0. 



f 





 



+ 1 

 — 1 



2 

 — 2 



8 

 — 3 



4 

 — 4 



5 

 — 5 



6 

 — 6 



7 

 — 7 



S 

 — 8 



9 

 — 9 



h 

 aDah 

 De'h 

 i-Duh 



+ 1135.50 



+ 367.47 



+ 6.96 



— lO.Si 



— 840.31 



+ 3025.10 



+ 12.62 



— 2.66 



+ 187.98 

 + 478.7 



— 4.1 



— 8.36 



+ 100.37 



+ 369.3 



-7.6 



— 6.1 



+ 65.83 

 + 266.9 



— S.7 



— 4.3 



+ 31.76 

 + 178.5 



— 8.4 



— 3.0 



+ 18.29 

 + 121.4 



— 7.4 



— 2.1 



+ 10.63 

 + 81.2 



— 6.2 



— 1.4 



+ 6.2 

 + 63.6 



— 6.0 



— 1.0 



+ 3.7 

 + 36 

 — 4 



L 



e'W 

 £ 



+ 3005.97 

 6.96 

 



+ 1747.45 

 + 12.52 

 + 3.56 



+ 1919.99 



— 4.1 



— 1.6 



+ 1232.4 



— 7.6 



— 1.3 



+ 799.6 



— 8.7 



— 0.9 



+ 619.6 



— 8.4 



— 0.7 



+ 336.3 



— 7.4 



— 0.5 



+ 216.9 



— 6.2 



— 0.3 



+ 138.9 



— 6.0 



— 0.2 



+ 91 



Sv^aiuiN- f) 

 N+ f 

 N—lf 





-17.853 

 + 0.013 

 —0.060 

 + 0.000 

 — 0.001 



— n.sos 



— 0.112 



— 0.096 



— 0.001 



— 0.001 



— 4.197 



— 0.066 



— 0.0.57 



— 0.001 

 -0.091 



— 2.043 



— 0.0 42 



— 0.037 



— 1.061 

 — 0.028 

 i- 0.025 



— 0.!572 



— O.OIS 



— 0.017 



— 0..'!17 



— 0.012 



— 0.011 



— 0.17S 



— O.OOS 



— O.OOS 



— 0.102 



a log r -i- cos A' 

 N-f 



N+f 





+ 361 

 

 



-81 

 — 1 

 + 1 



— 43 

 — 1 



+ 1 



— 24 

 

 



— 14 

 

 



— 8 

 

 



— 5 

 

 



— 3 

 

 





 



a/3 -^ sin (N- V) 



\n+t] 





— 0.030 

 + 0.083 



+ 0.065 

 + 0.030 



" 

 + 0.028 

 + 0.014 



+ 0.014 

 + 0.007 



+ 0.008 

 + 0.004 



+ 0.006 



+ o.ooi; 



+ 0.003 

 + 0.001 



+ 0.002 

 + 0.001 





11.-^=1;/: 



1; t = 0. 



^{N- f) 

 N-lf 

 N-V f 



+ 4.8 

 + 24.8 

 + 24.6 



+6.2 

 1-30.6 

 1-30.3 



+ 0.30 

 + 1.9 

 + 35.1 



+ 0.33 

 + 1.65 



+ 38.5 

 + 6.1 

 + 38.6 

 + 38.3 



+ 0.32 

 + 1.16 

 + 37.4 

 + 4.1 

 + 37.4 

 + 37.2 



+ 0.24 

 + 0.38 

 + 27.93 

 + 2.10 

 + 27.93 

 + 27.81 



+ 0.05 



— 0.66 

 + 6.69 



— 0.82 

 + 6.69 

 + 5.65 



0.116 



— 0.001 



0.002 







— 0.24 



— 1.32 



— 28.77 



— 2.24 



— 28.77 

 -28.96 



— 4.80 

 -38.29 

 -38.-17 



— 0.783 



— O.OOS 

 + 0.002 



— 0.91 

 + 1.05 



-107.13 



— 3.01 

 - 107.13 

 - 107.20 



+ 0.36 

 + 0.20 

 - 40.77 



4 



5 



6 



— 4 



— 5 



— 6 



+ 0.48 



+ 0.60 



+ 0.46 



+ 1.24 



+ 2.00 



+ 2.37 



h66.1 



+ 68.0 



+ 63.0 



+ 6.1 



+ 6.8 



+ 7.3 



-56.1 



+ 68.0 



+ 63.0 



f 58.9 



+ 67.6 



+ 62.4 



" 







+ 0.40 

 + 2.6 

 + 44.6 



0.014 — 0.012 



+ 0.286 +0.236+0.179 

 + 0.003 ■ ■ " """ 



+ 0.002 



+ 2 



+ 0.002 



+ 2 



III. 



I; 3'=.^; izrO. 



aDah 

 De'h 

 iDuh 



"(N-f) 

 LN+f) 



■m{N-r) 

 x{N+V) 



— 5 

 + 



— 4 

 6 



— 3 



4 



— 2 

 3 



— 1 

 2 





 1 



+ 1 

 



+ 6.5 

 + 34.1 



— 2.0 

 



+ 96.6 



— 2.0 

 + 0.1 



+ 9.0 



+ 36.0 



— 1.7 







+ 108.6 



+ 0/2 



+ 11.4 

 + 32.1 



— 1.3 

 



+ 108.7 



— 1.3 

 + 0.2 



+ 12.7 

 + 17.4 



— 1.0 

 + 0.5 



+ 79.8 



— 1.0 

 + 0.1 



— 219.7 

 + 444.1 

 + 1.01 

 + 2.75 

 + 223.3 

 + 1.01 

 — 0.95 



— 17.00 



— 69.6 



— 1.60 

 + 2..31 



— 163.0 



— 1.60 

 0.00 



— 62.71 

 — 120.66 

 — 1.29 

 + 3.23 

 — 178.40 

 — 1.29 

 + 0.27 



+ 0.138 



+ 0.184 



+ 0.220 



+ 0.202 



+ 0.760 



— 0.766 



— 1.762 



+ 0.004 

 + 0.001 



+ 0.00 i 

 + 0.006 



+ 0.004 

 + 0.006 



+ 0.004 

 + 0.005 



+ 0.006 

 



+ 0.001 

 ^+0.001 



— 0.005 

 



— 2 



-2 



— 3 



— 3 



+ 31 







— 26 















+ 0.002 



+ 0.004 



+ 0.012 



+ 0.036 









+ 0.001 



+ 0.014 



+ 0.012 



+ 0.028 



2 

 -1 



3 



— 2 



4 

 — 3 



6 



— 4 



6 

 — 5 



7 

 — 6 



— 67.-573 

 -161.67 

 + 0.61 

 + 3.61 

 8506.72 

 + 0.61 

 + 0.49 



— 4.5.20 



— 170.23 

 + 2.96 

 + 3.48 



— 871.70 

 + 2.96 

 + 0.57 



— 33.27 



— 157.9 

 + 4.S6 

 + 3.09 



— 694.2 

 + 4.86 

 + 0.66 



— 23.66 



— 135.8 

 + 6.0 

 + 2.6 



— 443.5 

 + 6.0 

 + 0.5 



— 16.41 



— 110.3 

 + 6.4 

 + 2.2 



— 331.0 

 + 6.4 

 + 0.4 



— 11.20 



— 86.4 

 + 6.2 

 + 1.4 



— 244.6 

 + 6.2 

 + 0.3 



2163.606 



+ 9.279 



+ 3.098 



+ 1.531 



+ 0.S64 



+ 0.504 





+ 0.116 

 + 0.104 



+ 0.054 

 + 0.049 



+ 0.035 

 + 0.032 



+ 0.026 

 + 0.022 



+ 0.018 

 + 0.016 





+ 61 

 + 1 

 — 1 



+ 29 

 + 1 



— 1 



+ 17 



+ 11 



+ 6 





— 0.0 16 



— 0.021 



— 0.011 



— 0.007 



— 0.004- 





— 0.028 



— 0.011 



— 0.006 



— 0.004 



— 0.002- 



- 0.00- 

 -0.001 



