THE ORBIT OF NEPTUNE. 



51 



The maximum value of Sv being less than 30", the first term will be entirely 

 neglected. The value of 8r sometimes amounts to .018, so that the correction 

 arising from the second' term may sometimes amount to 0".ll. We shall, there- 

 fore, take account of it in a few cases. 



The ephemeris which will be compared with observation in order to deduce 

 normal places of the planet will be the same with which the Greenwich obser- 

 vations are compared, namely, Walkei^'s ephemeris until the year 1854, and 

 Kowalski's ephemeris in subsequent years. It will be remembered, however, 

 that these eiDhemerides are used only for the purpose of obtaining normal places, 

 and in order to save the trouble of comparing every individual observation with 

 the provisional theory. 



§ 25. Mean corrections of the Ephemeris of l^ejptune given hy observations at the 

 different observatories, loithout correction for systematic differences. 





Gre 



ENWICH. 











Cambeidge. 







Date. 



R.A. 



Dec. 



No. 



Date. 



R.A. 



No. 



Deo. 



No. 



181G, 



Oct. 14, 



s 

 -0.050 



+ 0.48 



12 



1846, 



Oct. 13, 



s 

 — 0.014 



10 



+ 1.51 



8 





Nov. 16, 



— .070 



+ 0.55 



7 





Nov. 7, 



.000 



14 



+ 1.43 



15 



1847 



July 26, 



— .1.50 



+ 2.05 



4 



1847, 



July 27, 



— .062 



5 



+ 2.30 



4 





Aug. 20, 



— .097 



+ 2.23 



10 





Aug. 22, 



— .090 



18 



+ 2.25 



17 





Oct. 3, 



— .145 



+ 1.43 



10 





Oct. 8, 



— .100 



14 



+ 2.18 



13 





Nov. 24, 



— .056 



+ 1.76 



8 





Nov. 20, 



— .022 



13 



+ 0.66 



14 



1848, 



July 28, 



— .062 



+ 1.16 



4 



1848, 



July 22, 



— .056 



8 



+ 0.88 



8 





Aug. 81, 



+ .002 



— 0.20 



8 





Aug. 27, 



— .048 



19 



+ 1.85 



19 





Oct. 7, 



— .104 



+ 0.01 



14 





Oct. 9, 



-.018 



16 



+ 0.75 



17 





Nov. 16, 



+ .022 



+ 0.11 



4 





Nov. 19, 



+ .009 



10 



+ 1.05 



11 



1849 



Sept. 3, 



— .027 



+ 0.65 



6 



1849, 



Aug. 21, 



— .087 



15 



+ 0.72 



18 





Oct. 17, 



+ .080 



+ 1.70 



8 





Oct. 15, 



— .038 



16 



— 0.17 



16 





Nov. 28, 



— .060 



+ 1.96 



5 





Nov. 22, 



+ .090 



11 



+ 0.21 



2 



1850, 



Aug. 27, 



— .079 



— 1.00 



13 



1850, 



Aug. 29, 



— .089 



10 



+ 0.48 



11 





Oct. 16, 



+ .040 



+ 0.20 



13 





Oct. 16, 



+ .011 



14 



— 0.13 



15 





Nov. 24, 



+ .020 



— 0.52 



16 





Nov. 23, 



+ .039 



12 



+ 0.14 



13 



1851, 



Sept. 1, 



— .162 



— 1.07 



16 



1851, 



Sept. 4, 



— .054 



18 



— 1.62 



19 





Oct. 12, 



+ .060 



— 0.97 



4 





Oct. 17, 



+ .028 



11 



— 1.61 



10 





Nov. 9, 



— .040 



-1.94 



5 





Nov. 28, 



+ .014 



9 



— 1.91 



10 



1852, 



Aug. 7, 



— .260 



— 2.34 



5 



1852, 



Aug. 29, 



— .037 



15 



— 1.53 



15 





Sept. 11, 



— .160 



— 2.44 



10 





Oct. 11, 



— .048 



10 



— 2.52 



11 





Oct. 12, 



— .140 



— 3.36 



10 





Deo. 4, 



+ .038 



7 



— 2.99 



7 





Not. 22, 



— .080 



— 2.27 



5 



1853, 



Sept. 2, 



— .048 



4 



— 2.48 



5 



1853, 



Sept. 1, 



— .256 



— 2.59 



14 





Oct. 24, 



— .134 



13 



— 3.04 



13 





Oct. 11, 



— .177 



— 2.93 



16 





Nov. 27, 



+ .031 



11 



— 2.-53 



12 





Nov. 19, 



— .160 



-2.71 



3 



1854, 



Sept. 4, 



— .314 



11 



-3.-59 



12 



1854, 



Aug. 30, 



— .420 



— 3.60 



13 





Oct. 11, 



— .273 



15 



— 4.38 



3 





Sept. 24, 



— .370 



— 3.94 



11 





Nov. 24, 



— .165 



4 



— 5.17 



8 





Oct. 27, 



— .310 



— 3.68 



7 

















Deo. 5, 



— .300 



— 4.36 



4 















1855, 



Aug. 10, 



— .189 



— 0.84 



7 



1855, 



Sept. 8, 



— 0.04G 



12 



+ 0.48 



9 





Sept. 8, 



— .046 



— 0.06 



16 





Got. 12, 







+ 0.50 



C 





Oct. 22, 



+ .183 



+ 0.80 



6 





Dec. 10, 



+ 0.206 



9 



+ 3.07 



7 





Nov. 29, 



+ .177 



+ 1.51 



6 



1856, 



Sept. 12, 



— 0.099 



9 



+ 0.05 



8 



1856, 



Aug. 8, 



— .220 



— 1.06 



10 





Oct. 29, 



+ 0.120 



8 



+ 1.73 



7 





Sept. 13, 



— .080 



— 1.06 



7 





Nov. 28, 



+ 0.164 



5 



+ 2.50 



5 





Oct. 26, 



+ .076 



+ 1.41 



9 



1857, 



Sept. 14, 



— 0.030 



9 



— 0.83 



12 





Nov. 17, 



+ .123 



+ 1.67 



6 





Oct. 25, 



+ 0.104 



5 



— 0.34 



5 



1857, 



Aug. 14, 

 Sept. 22, 

 Oct. 24, 

 Dec. 5, 



— .356 



— .130 

 + .030 

 + .130 



— 2.43 

 -0.50 

 + 0.29 

 + 0.16 



5 

 12 



5 

 10 





Dec. 11, 



+ 0.175 



8 



+ 0.16 



9 



1858, 



Aug. 18, 

 Sept. 24, 

 Oct. 25, 

 Dec. 10, 



— .391 



— .260 



— .206 



— .058 



— 1.74 



— 1.81 



— 1.00 



— 0.76 



14 

 13 

 10 

 11 















1859, 



Aug. 19, 

 Sept. 28, 

 Nov. 3, 

 Dec. 16, 



— ..500 



— .446 



— .315 



— .328 



— 3.27 

 -3.11 



— 2..56 



— 1.46 



9 

 17 

 15 

 10 















