THE GREAT COMET OF 1858. 



95 



In forming equations of condition from these normals, it will be advantair 



use residuals from elements nearer the truth than those of Searle 



ments, computed from three provisional 

 comet's apparition, will serve this purpose 



The following 



mbracing the whole period of 



T 



1858, Sept. 29.971007, Paris Mean Time. 



(0 = 



= 129 6 39.40, 



8 = 



= 165 19 10.67, 



• 



t = 



= 116 58 10.87, 



9> = 



= 85 2 43.72, 



\ogq = 



= 9.7622760, 



Mean Equinox and Ecliptic, 1858.0 



log a 

 P 



2.18982, 

 1926 y .3. 



The places of the Sun used will be taken from Hansen and Olufsen's Talks du 



Soldi, substituting, ho 



the Pulkova constants of 



d aberration 



A 



comparison of the Greenwich observations of the Sun, for 1858-59, shows a pretty 

 good representation of observation by these tables. And the small differences that 

 remain may be much modified by the introduction of corrections peculiar to the 

 observer and the instrument. And knowing the difficulty that attends the consider- 

 ation of this matter, I do not propose to inquire further into it. 



The following are the equations of condition that result from the above normals. 

 The logarithms of the coefficients are given instead of the coefficients themselves, and 

 the variations of the elements are supposed to be expressed in seconds of arc, 0''-.0001 

 in ST being equivalent to 1", and 0.00001 in 8 logq and Be; the righUiand members 

 are A a cos S and A S. 



Equations from the Right Ascensions. 



9.8GG2 d log q +9.3875 8e +8.7810 5 T— 9.2176 8w— 9.2190 *t +9.8566 S Q 



'.'.8551 

 9.8000 

 9.7273 

 ■9.4914 



+9 



+9 

 +0 



+0, 



-f-o. 



+0. 

 +0. 



+0. 



+9. 



+9.0785 

 +8.5855 

 +8.2393 

 7.3061 

 8.3465 

 8.1188 

 +9.1757 

 +9.5597 

 +9.6413 

 +9.6892 

 +9.7175 

 +9.7263 

 +9.7084 

 +9.6084 

 +9.2739 



+8.7925 

 +8.7743 

 +8.7146 



+8.3722 

 —8.8318 

 9.4913 

 9.7442 

 9.4693 

 8.7919 



+7 

 +8, 



+8. 



+8. 

 +8. 

 +8. 



9.2008 

 9.1247 

 9.0325 

 8.7217 

 +8.7980 

 +9.4492 

 +9.5448 

 9.1112 

 9.6233 

 9.6984 

 9.5057 

 <i.6900 

 9.6505 

 9.5379 

 9.2732 



9.3646 +9.7651 

 ■9.5208 +9.6436 



9.5931 



9.6767 



9.7498 



9.7556 



.9.4468 

 +7.5105 



8.8691 +9 

 9.2986 +9 

 9.4785 +9. 



+9. 



+9.5496 



+9.3190 



8.6312 



9.6671 



9.8318 



.7024 



9.5929 



9.6946 +9 



9.8103 



+•' 



9.8974 +9 



+1.17 



+0.92 



+0.18 



+0.75 



+1. 5 



+0.55 

 +0.33 

 +0.38 

 +2.07 



+1.58 

 +2.71 

 +2.99 

 +2.24 

 +2.43 

 +2.44 

 +".10 



Weight. 



(M2 









0.62 



o.7c 



1.73 



2.57 



2.09 



■J. 27 



1.19 



n.79 



0.72 

 0.46 



o.62 

 o.60 



i.67 



0.41 



