a first Approxhnatmi to the Orbit of a Comet, 1^5 
the errors of observation, but solely to the defects of the 
method. 
Times 
Sept. 
Longitudes. 
South Latitudes 
Longitudes of 0. 
Log. R. 
d. h. 
8 14 
• f 0 
c, 101 18 8 
a ^ a 
X, 22 14 35 
34 ^‘ 35 3 °i 
R, 0-0026648 
10 14 
112 31 31 
x°,23 98 15 
e°,348 32 22 
12 14 
6-', 124 26 47 
x',23 48 36 
29 20 
R',00021838 
From these data, I have found 
log. 40’“ = 8-2773428 
« = SS'" 2a' 56" 
i == 23 48 49 
^ 0-0006684 
4# == 80° 23' 45" 
h = 6 g 38 2ij 
= 90 58 25 
log. 10 =: 0-0071924 
cos. 7 = 9-9691708. 
r' = 1-012347 — num. (9-8913194,) x p + p* 
r'“= 1-010107 — num. (0*1132123) xp + num. (0.0143848) xp* 
V= i-oo8888 — num. (0-0104917) x p + num. (9*9763632) xp*. 
In this instance — --r — ? is positive : therefore the comet is 
nearer the sun than the earth : hence p 2. num. (9*8913194), 
or p 0-778. In order to get narrower limits, I take p = 
= o'389> or p = 0*4, for a first approximation ; then 
