13 



The smallness of the values of x' — ji, and /3' — (3, on which the concluded posi- 

 tion of the plane of the whole orbit depends, would have deprived this result of 

 all its value, if the errors of observation had not also been extremely small, so 

 as to bear a corresponding proportion to the measured path. There is, how- 

 ever, one advantage in the smallness of v' — v, that the errors arising from the 

 neglected terms, (the daily variations of r and i',) are also very small. 



1 subjoin the Disturbed Elements I, as far as they could be completed at this 

 time. 



DISTURBED ELEMENTS, I. 



Perihelion point -----«:= unknown. 



Ascending node ^ = 129° 48' 23". 2 m. eq. Jan. 1, 1847. 



Inclination i = 1° 45' 19". 9 



Eccentricity ------e=0.0 



Mean daily siderial motion - jj, = 21". 65857 



Epoch of mean longitude - - e = unknown. 



Period in tropical years - - - T = 163^.8259 



True daily angular motion - - v ^ 21.65857 



Heliocentric Longitude - - - x = 326° 69' 41".5 1847, Sept. 28th, m. noon. Green. 



No. 26. With the Disturbed Elements I, I computed with every possible 

 precision an Ephemeris of Neptune, from August 1, 1846, to February 1, 1847, 

 and then compared with it all the standard observations yet received, after 

 applying all the small corrections, and treating them in the same manner as 

 the places of September 26 and December 26, mentioned above. The available 

 observations comprehended one hundred and sixteen nights' works in all. 

 They may be thus classified : 



MERIDIAN OBSERVATIONS. 

 No. of nights observed. Observatory. Instrument. Observer. 



f '^ S / ^ N / \ /■ * 



5 Gottingen, Meridian Circle, Gauss, 



13 Altona, " Petersen, 



17 Hamburg, " Rumker, 



4 Dorpat, " Madler, 



4 Konigsberg, " Wichmann, 



3 Geneva, " Plantamour, 



2 Turin, " Plana, 

 8 Cambridge, E. " Challis, 



5 Washington, Transit Inst., Almy, 



4 " " Keith, 



6 " Mural Circle, Coffin, 

 1 " " Page, 



3 " Ertel Mer. Circle, Maynard, 



5 « " Hubbard. 



