a first Approximation to the Orbit of a Comet. 173 
days 45 'oi 35 
log- 1 6533428 
log. Di 9-92564,27 
days 3 o-8o 44< 
log. i* 488()127 
log. DI 9 ' 9 ^S^ 4<^7 
1*5789855 1 - 4 H 2554 
Num. 37-9303 Num. 25-9570 
hence the time of passing the perihelion is fixed for Dec. 
31*2527- 
By making the rest of the computations in No. 10, I have 
found the following elements of this comet, viz. 
Log. perih. dist. - 9*950429 
Time of passage, Dec. 25*2527 
Inclination - i^° 30^372-^^ 
Place of ascend, node 250 33 34 
Place of perihelion 109 20 21 
Motion Direct. 
Legendre, from a comparison of all the observations of this 
comet, which are only six in number, has found the following 
corrected elements, viz. 
Log. perih. dist. - 9*9502700 
Time of passage, Dec. 25*28551 
Inclination - 16° 31' 10'' 
Place of ascend, node 250 33 34 
Place of perihelion 109 23 39 
which differ very little from those found above, and prove the 
exactness of the approximation by the method in this paper. 
Neither of these two systems of elements represent the ob- 
servation of Nov. 30, with much accuracy, the errors in lon- 
gitude amounting to between -}- 2'^ and + 3' : on which 
account it is probable that there is some peculiar inexactness 
in that observation. 
