93 



3606 



94 



Although no source could be found for the systematic 

 lifference the residuals were arbitrarily corrected by o!5 1 

 .vhich is the mean of the five quantities given above, and 

 he resulting residuals were given the weight 0.5. 



With the application of these corrections and the 

 new system of weights, the residuals were again combined 

 to form normal place residuals with the following results : 



The columns headed Red. give the values for reducing the /!« and /id from the mean date of observation to 

 :he nearest Berlin mean midnight. The fmal residuals for the normal places arc therefore li 



The weights for the normal j)laces are the sums of the 

 veights of the individual observations in the normal place 

 ;roups. 



6. Computation of Perturbations. 



The effect of Jupiter, .Saturn, Mars, and the Earth 

 ipon the positions of the comet during the period of vi- 

 libility were computed by the method of variation of con- 

 tants. The masses used were : 



Jupiter 



Earth = 



1047.568 



I 

 355499 



Date 



1894 Nov. I I 



Dec. 1 



2 I 



1 895 Jan. 1 o 



30 

 Febr. 1 9 



Saturn = 

 Mars == 



-l-o'.'0 2 4 



-HO o 1 3 



— 0.02 1 



— 0.086 



— o. 196 

 -0-37' 



350'-6 



I 

 2680337 



-0:257 



— O. I 16 



-(-0.127 



-i-°-335 

 -t-0.302 



— 0.262 



The calculation was based u[)on Chandler's elements 

 .\. J. No. 338, referred to 1900.0. They are: 



Epoch Dec. i.o 1894. Equino.x 1900.0. 

 yl/ = 8° 22' I '.'2 



^ = 345 24 '38 



Q, = 48 48 52.9 



' = 2 57 55 5 



5" = 34 52 569 

 fi = 6o5'.'i52o 



Dec. 1 0.0 1894 was choosen as the epoch of oscu- 

 lation, and the perturbations were computed for 20 day 

 intervals beginning with 1894 Nov. 11. The resulting per- 

 turbations in the elements were : 



o'.'7 76 



0-525 

 0.809 

 3.291 

 6.933 

 I 1.708 



- 4-788 



— 1.804 

 -+- 2.082 

 -(- 7.264 

 -(- 14.078 

 -(-22.765 



— 3'-'4>6 



— 1 .100 

 -(-0.987 



-+-2-37' 

 -t-2.512 

 -+-0.81 4 



4« 



-f-o'.'oio7 

 -(-0.0062 



— 0.0091 



— 0.0361 



-0-0753 



— 0.1268 



From these the values for the dates of the normal 

 )laces were found by interpolation — the calculated values 

 )eing checked by a graphical interpolation from the curves 

 ormed by plotting the perturbations in the elements. The 

 [uantities desired, however, are the effects of the pertur- 

 -* )ations in a and 6 and these were derived from the per- 

 urbations in the elements by means of the differential 

 ormulae given in the following section for determining the 

 lefinitive corrections to the elements. These formulae are 

 he ones given by Schonfeld in A. N. No. 2692-93 and since 

 hey involve tlie three elements x, 1 and v in place of the 



usual three /, ll and (o, the perturbations in the latter ele- 

 ments must be transformed into perturbations in x, k and 

 V by means of 



dx ^ d(o -t- cosi/dO 



dX = sin (o d/ -^ cos co sin / dfi 



dv = cos ft> d/ - - sin m sin / dQ, 



This transformation togetier with the above mentioned 

 interpolation gives the following perturbations in the elements 

 for the dates of the normal p aces. 



