COMET OF 1 889-1896-1903 



245 



Applying these differences to the ephemeris places of the 

 comet, we have the following observed normal places, together 

 with their adopted weights. 



Table VII. 



Observed Normal Places. 



2 3 . Pcj'tiirbatioiis. 



-The perturbations as computed in 9 were 

 reintegrated for the period of visibility of each appearance, mak- 

 ing the respective osculating epochs, 1889 Sept. 30.5, 1896 Oct. 

 23.5, and 1903 Sept. 18.5 for which dates the elements used in 

 computing the ephemeris are osculating. From the new tables 

 thus formed were found by interpolation the perturbations of the 

 elements for the dates of normal places. These perturbations of 

 the elements were then transformed into the corresponding per- 

 turbations of right ascension and declination by means of the 

 coefficients of the equations of condition, as determined in 24. 

 In using these coefficients it was necessary to recompute those 



