'FIRST ELLIPTIC ELEMENTS. 

 o I II 



rt= 48 21 2.93 mean equinox, January 1, 1847. 

 g2= 130 4 35.03 " " "■ " " 



i = 1 46 59.54 

 e = 0.00857741 

 ^= 21".55448 



f = 328° 31' 56".36. Epoch for mean noon Greenwich, Jan. 1, 1847. 

 T= 164.6181 tropical years. 



The corrections of the first elements of Neptune, fcommunicated by me to 

 Prof. Peirce on the 6th of Marcli, 1848, were. 



d 7t ^ 



— 



1 8 56.43 



iSl = 



— 



14.22 



d i = 



— 



0.57 



de = 



+ 



0.00014205 



rf^ = 



+ 



0".0 



d,= 



+ 



47.84 



rfT = 



+ 



c.oooo 



Hence were obtained the second elliptic elements of Neptune, which form 

 the basis of all the Ephemerides here offered for publication. 



SECOND ELLIPTIC ELEMENTS OF NEPTUNE. 



Perihelion . 

 Node . . . 

 Inclination . 

 Eccentricity 

 Mean daily motion 

 Mean anomaly 



7t = 47 14 37.27 mean equinox, Jan. 1, 1850. 

 g2 = 130 6 51.58 " " " " 



i = 1 46 58.97 



e = 0.00871946 



^ = 21".55448 

 M = 287° 54' 21". 36 mean noon, Greenwich, Jan. 1, 1850. 



For 1846 and 1847, the eight-day Ephemeris from these elements was com- 

 pared with a former Ephemeris computed from my fourth disturbed elements, 

 and the place was then interpolated for each day. The computations were 

 made for the mean equinox of January 1, 1847, and the reductions to apparent 

 places were computed, as for a fixed star, by Bessel's constants in the Nautical 

 Almanac. 



*See my paper of April 15th, 1848, Smithsonian Contributions, Vol. ii.; also Proceedings of the American Academy for 

 December 7th, 1847. These were used by Dr. Gould in 1848. 



t See Smithsonian Contributions, above; see also Proceedings of the American Academy for April 4th, 1849, in which, 

 however, the value of d e should read = + 0.00014205. 



