313 



Normal Places of Leverrier. 





t = 1846 



Obs. Geo. Ion. No. of Obs. 



Obs. Geo. lat. No. of Obs 



ObE 



.— Eph. 



Obs.--Eph. 



No. 



years. 



A 



hh 



S 



hh 





A* 



AcC 



-^ 



, ^ V 



f . .K.. ... ^ 



^^.A,^ 



t A . _ .^ 



,^.A,«-X 



r<.^^^\ 



/■S-A,*^ 





d 



O ' " 





O ' 







" 



" 



1 



215.5670 



327 9 49.34 



(1) 



— 31 36.24 



(1) 



— 



16.75 



— 0.63 



2 



223.5441 



326 57 9.04 



(1) 



44.09 



(1) 



— 



7.27 



— 1.03 



3 



270.5 



325 46 25.82 



(16) 



57.99 



(16) 



— 



1.02 



+ 0.84 



4 



276.5 



39 54.23 



(13) 



56.14 



(13) 



+ 



0.27 



+ 1.51 



5 



282.5 



34 16.11 



(13) 



56.09 



(13) 



+ 



1.12 



+ 0.03 



6 



290.5 



28 21.99 



(12) 



53.16 



(12) 



+ 



3.13 



+ 0.80 



7 



293.5 



24 25.25 



(18) 



51.13 



(19) 



+ 



4.19 



+ 0.56 



8 



306.5 



22 32.46 



(16) 



47.61 



(6) 



+ 



3.02 



+ 0.23 



9 



313.5 



22 40.00 



(4) 



45.15 



(3) 



+ 



2.40 



— 0.68 



10 



319.5 



24 6.40 



(4) 



41.51 



(6) 



+ 



1.95 



+ 0.51 



11 



325.5 



26 50.59.? 



(4) 



37.30.? 



(4) 



+ 



3.77.? 



+ 2.21.? 



12 



334.5 



33 9.44 



(7) 



33.92 



(6) 



+ 



2.46 



— 1.13 



13 



345.5 



44 26.93 



(4) 



30.79 



(4) 



+ 



0.96 



— 0.03 



14 



353.5 



54 58.01 



(2) 



27.10 



(2) 



— 



0.72 



+ 1.51 



15 



359.5 



326 4 2.52 



(3) 



26.04 



(3) 



— 



0.23 



+ 0.77 



16 



372.5 



326 26 39.11 



(3) 



23.60 



(3) 



— 



4.40 



+ 1.28 



The residual errors show, in the course of six months, a sensible 

 deviation of the orbit from the circular form. They also show, that 

 for an eccentricity greater than 0.06, the true anomaly must be 

 nearly d= 90° ; a possible, but it may be said an improbable case. 



The next step was to make equations of condition of the form 

 o^=ax-\-hy-\-cz-\-n. In which a, &, c, are computed co- 

 efficients; X is 50 X A r , 2/ is 10 x A v, z = A Ag^o ? >* is the daily 

 increase of the true heliocentric longitude, Ajqq the longitude on the 

 300th day of the year. Finally, n is the equivalent heliocentric value 

 of A « above, with sign changed. The number of equations was re- 

 duced to 9, by taking, first, the third of the mean of 1 and 2 ; next 

 3, 4, 5, 6, and 7; then the mean of 8, 9, and 10. No. II is re- 

 jected; then the mean of 12 and 13, and lastly of 14, 15, and 16. 

 To these nine conditional equations equal weights were assigned as 

 follows : — 



= 



— 0.303 X a; 

 + 3.016 

 + 3.363 

 + 3.685 

 + 4.038 

 + 4.268 

 + 4.594 

 + 4.248 

 + 3.332 



-2.700X2/ +i-Xz 



— 3.000 



— 2.400 



— 1.800 



— 1.000 



— 0.200 

 + 1.267 

 + 3.950 

 + 6.133 



+ 1 

 + 1 

 + 1 



+ 1 

 + 1 

 + 1 

 + 1 

 + 1 



Residual error 



+ 3.88 



— d'08 



+ 1.00 



+ 0.49 



— 0.27 



+ 0.19 



— 1.10 



+ 0.22 



— 3.07 



— 1.03 



— 4.12 



— 1.31 



— 2.44 



+ 1.03 



— 1.73 



— 0.13 



+ 1.81 



— 0.16 



