THE ORBIT OP URANUS. 



61 



Perturbations of the Latitude produced by Neptune. 





 1 

 2 



1,-3 



2 



— 1 







+ 1 



-3 



-2 



-1 







3,-5 



6,— - 





—21.65 

 + 1.08 

 +19.32 







+2.73 

 —9.39 



l-7j— sin N 



X h siu iV 







— 4.00 

 +19.32 



0.00 



— 1.6ti'+ .01—0.01 

 +9.39 — .01 



+ 14.58+7.0 —14.7 +7.0 

 1.16—2.05+ 4.04;- 2.40 



dt 



= m'aiix 



I 

 — 3.90—1.(17 

 + 19.31J+9.39 



—34,215 

 + 3.74 

 + 15.77 



+ 10.52 

 — 2.1)0 

 —33.38 

 + 5.81 

 +18.79 







+2.32 

 —7.87 



+5.06 

 —2.38 





 +2.04 



I +1.76i 

 — 2.80—1.48—0.24 

 +16.25+7.75 I 



—14 7 i+7.0 



-0.07 +0.02 + 3 97,-2.4 



—10.6 



+ 3.65 







— 2.12 



+5.0 I 

 —2.28+0.36+0.04 



+9-8S— 0-01 



1 041—1.53+0.04 



9.52+19.56+9.32+0.08 



+3.5 



—2.0 







+ 7.4 +3.6 — 7.4 

 — 3.06—2.00+ 3.12 

 —24.4 



+ 6.58+1.73— 1.20 

 + 13.661— 7.28 +14.68, +7.00 +0.18 

 1.511+0.22— 1.51—0.22 











+0.48 +0.05 

 + 7.87 

 0.54—1.98+0.26 

 ■0.04 

 



— 2.96—1.63+ 2.53 



17.4 



+ 6.:J4+1.34— 0.59 

 + 9.42—5.37 

 1.72+0.32 



+ 1.76: 

 — 3.04—1.48 

 +16.25+7.75 



—10.6 +5.0 +0.027 

 + 4.01—2.24 —0.010 

 + 9.88!- 0.01 —0.264 

 — 3.65— 1.00 [—2.283] 

 +19.64+9.32 —0.143 



ik 



- 0.008 



— 0.073 



+0.045 

 —0.006 

 —0.540 

 —0.057 

 —0.081 



— 7.4 1+3.5 

 + 3.60—2.0 

 + 7.87 



— 3.18—0.28 

 —14.86 +6.96 



— 1.51—0.22 



+0.017 

 —0.010 

 —0.128 

 +0.108 

 -0.199 

 +0.008 



2.4 

 —12.0 



-1.7 +0.5 + 3.0 —1.7 —0.008 +0.004 +0.008 +0.004 

 +6.8 + 5.8 I —0.070 +0.023 



-0.22—1.97+0.30—2.56+0.08 +0.051 — O.OIl —0.020 —0.001 

 +10-57'+5.04 +0.25 —0.071 + 10.82 +4.97 [— 1.8n2] [—1 056] [—2.127] [+0.977] 

 — 1.72i— 0.32— 0.02+0.021— 1.74— 0.30J +0.013 +0.002 ] +0.013 —0.002 



+0.021 

 —0.036 



—0.022 

 +0.014 





 +0.035 

 —0.040 



—0.013 



+0.009 







[+0.802] 



—0.072 



—0.008 

 +0.006 





 —0 029 

 —0.106 

 +0.001 



8, 



+ 0.030 

 —0.073 



—0.045 

 +0.020 

 + 0.028 

 + 0.046 

 —0.083 



—0.027 

 +0.016 

 + 0.078 



—0.012 

 + 0.036 



—0.022 

 +0.012 





 —0.022 

 +0.040 



—0,013 

 +0.0U9 

 



[+1.431] [—0.393] 

 0.049 +0.071 



8/3 





 + .080 

 +■016 



.012 

 +.020 

 — .002 



—0.017 

 +0.011 

 +0.041 

 —0.053 

 —0.217 

 + 0.008 



+.007 —.002 

 +.201I— .046 

 —.008'— .037 

 + .364I+.084 

 +.060 +.007 



+.002'— .001 



+.062 



+ .008 



+ .326 



+.002 



—0.008 

 +0.006 





 +0.004 

 +0.101 

 —0.001 



+.002 

 +.023 —.(104 

 —.004'+. (141 

 +.303 +.1174 

 —.090 

 —.013 



+ 



1.8 

 



—1.40 

 

 + 5.58+1.01— 0.22 

 + 6.25—3.89 

 1.66 +0.33 



-1.4 

 



-0.04 



+0.5 

 +4.0 



+ 2.3 

 + 4.0 



—1.4 

 



1.75[+0.28— 1.97+0.24 

 + 7.43+3.54+0.30—0.09:+ 7.73+3--i-'> 

 — 1.66'— 0.33— 0.03+0.01— l.ij9 — 0.32 



— 8.4 

 + 4.63+0.76 

 4- 4.03 —2.79 



— 1.45+0.31 



— 5.0 I 

 + 3.63+0.01 

 + 2.49—2.00 



— 1.19+0.27 



— 4.0 I 

 + 2.76,+0..''.0 

 -I- 1.49—1.41 



+2.8 + 2.80, —0.022 +0.007 



0.03+0.04—1.46+0.24—1.49+0.28 +0 019 —0.003 —0.006 —0.001 

 + 5. 15'-i-2.45 +0.31—0.101+ 5.40-1-2-3.5 -i-0.(i33 +0.022 +0.045 —0.019 

 1.45 —0.31 —0.04'+0.02,— 1.49—0.26 [+0.190]'[+0.041] [+0.195] [—0.038] 



—0.005 

 —0.038 

 +O.(i30 

 +0.107 

 -1-0.024 



+0.003 





 —0.005 

 +0.(167 

 -1-0.005 



+ 0,005 

 + 0.013 

 —0.010 

 + 0.131 

 + 0.025 



+0.003 





 —0.001 

 -0.059 

 —0.004 



—.014 



—.004 



+ .075 







—.026 

 



022 —.004 

 008'+. 006 

 048-I-.010 



-.047 



•,001 



01 

 012 



109 





—.003 

 



—.028 

 038+,(i(Jl 

 018 



1+1.9 I + 1.9 ] 



1—1.17+0,20— 1.17+0.20 



+ 3.52 +1.68'+0.30|— 0.10+ 3.82+1.5S 

 1.19,-0.27 —0.04+0.02— 1.231—0.25 



+ 



+1.3 



—0.91+0.16 



2.38I+1.14+0.27'— 0.09 



— 0.97!+0.22;— 0.97 — 0.22j +0.02 



+ 1,3 



— 0.9l'+0.16 

 + 2.65+1.05 



— 0.97,-0.20 



—0.012 

 +0.012 

 -1-0.013 

 —0.021 



—0,008 

 +0.007 

 -i-0.006 

 —0.008 





 —0.002 

 + 0.(111 

 —0.005 







—0.002 

 +0.000 

 —0.002 



+ 0.004 

 —0 (104 

 + 0,(120 

 — 0.022 



+ 0.003 

 + 0.002 

 + 0.011 

 —0.008 





 —0.001 

 — 0.008 

 + 0.004 









 —0.004 

 + 0,002 



—,010 

 —.028 

 —.010 

 +.015 



—,006 

 —,008 

 +.014 

 +.002 



•f,002 

 —.008 











+ .001 

 —,004 











003!+. 002 



—.003 

 + .0(14 

 + .002 



— .002 











Secular term, ik = + 1".2.'; T 



M = — 1 '.25 Tcos V 



The terms Mc and hr;, which aix^ inclosed in brackets, arc of very long period, 

 and are therefore omitted in forming the values of ^[3 in the last two columns 



