96 



THE GREAT COMET OF 1858. 



Equations from the Deviations. 



4-0.4209 3 log q +9.8023 d e— 8.9052 ST +9 



-fO.4008 



-j-0.4014 



-j-0.4094 



4-0.4223 



4-0.4444 



4-0.5294 



+0.G902 



4-0.6299 



4-0.4712 



4-0.3824 



4-0.3437 



-f-0.3297 



4-0.3304 



4-0.3495 



4-0.3754 



4-9.6194 

 4-9.3636 

 4-9.1945 

 4-8.9104 

 4-8.5223 

 4-7.9961 

 9.1747 

 9.4551 

 9.1778 



.4943 



4-8.7707 

 4-9.1485 

 4-9.3778 

 4-9.6005 

 -j-9.7620 



8.9529 

 9.0475 

 9.0967 

 9.1314 



.9832 



+9.2695 



4-9.9580 

 4-9.8831 

 4-9.5374 

 -j-9.2865 

 4-9.1361 

 4-9.0385 

 4-8.9605 

 4-8.8879 

 4-8.8403 



+9 

 +9 



+9 



+9 



+9 



9.1089 



9.9980 

 9.9774 

 9.7775 

 9.7031 

 9.6986 

 9.7200 

 9.7595 

 •9.8280 

 9.8951 



d to 



8.6591 di 



8.7826 



8.8411 



8.8276 

 8.7090 



+8.5811 

 4-8.1283 

 4-9.3709 

 4-9.5341 

 4-9.5768 



+9.4755 



9.2068 

 9.2140 

 9.2258 

 9.2238 

 9.0928 



+7.0656 



4-9.0218 +9.0810 



+9.7179 

 8.3321 

 9.3505 

 9.1944 

 8.8537 



+9.5823 +7.6943 

 4-9.5616 4" 8 -9410 



+9.3028 



8 



+9.2523 +9.4895 



+4.59 



+3.61 



4-1.61 

 -j-1.72 



4-2.81 

 -j-2.21 

 4-1.00 



4-0.25 

 1.12 



0.40 



+0.26 

 4-1.90 

 4-0.53 

 4-2.06 

 4-1.97 



-fl.68 



Weight. 



0.29 

 0.47 

 0.60 

 0.70 

 1.71 

 2.57 

 2.04 

 2.24 

 1.15 

 0.79 

 0.72 

 0.44 

 0.62 

 0.60 

 0.60 

 0.39 



The operati 



carried through with logarithms of five decimal places, the 



want of breadth in the page has compelled the omission of the last figure in the above 



coefficients 



The resulting normal equations 



+211.720 

 4- 6.2418 

 4- 9.9751 

 16.7517 

 0.8780 

 + 1.5523 



+6 

 +1 



0.9109 

 ■0.0865 



— 0. 

 +0 



+9 



•0.9109 



+3 



4.1916 



+1 



+2 



16.7517 d w —0.8780 a » +1.5523 3 8—81.633 



+ 



0.0865 

 4.1916 



3.3057 



•0.6452 



+1 



0.8845 



0.8845 +3 



+0 



+0 

 +2 



3.3057 



+0 

 +3 



+ 



+ 



9.5672 



0.5563 



2.6113 



:0 

 :0 



:0 

 ;0 







The solution of these gives, 



Slogq 



+0.44, 



be 



+2.99, 



dT 



if 



0.36, 



d 



0) 



+l".81, 



di 



ft 



0.32, 



8Q, 



+2"04 



And the sum of the squares of the residuals is reduced from 87.378 to 13.547, makin 



the probabl 



of a normal of the weight unity, ±0".487; adopting 



the elements with their probable errors are (which elements it will be remembered 

 are the osculating of Oct. 2) : 





