Dr. Brinkley's elements of 
2. dp = ,000 
dt = -1-4,901 and — 1,547, substituting in equation (13) 
t= — 1,547 
o = — 3°9 
3. dp= -f ,005 
dt == 5,442 and — - 1,838 
° = — 137 
the value of dp therefore exceeds -f- ,005. 
The last result shows, that with this value of dp , the errors 
ofV— U and V 7 — U' are reduced to comparatively small 
quantities, and it may be useless in this first process to endea- 
vour to reduce them still more. 
Therefore we may now make/>== ,0865 + ,005 = ,0915, 
and t = 19,9118 — 1,838 = 18,0738. 
With these values we obtain, having corrected the sun's 
places and comet's observed places for aberration, and made 
the computations to seven places of figures. 
April 8 
O t II 
S 0 / II 
0 / a 
136 53 51=. 
2 9 47 32 = 0 
50 5 I l6 — 7T 
21 
1/4 50 48—*' 
2 4 59 H -&' 
43 38 4= 7 r‘ 
May 3 
148 48 45=>" 
2 3 12 5—0" 
39 56 29—7/ 
v= r 55' 6 ", V'= 1 1” S3' 33". 
On account of the great changes that have taken place in 
some of these quantities, particularly in the longitudes ; it 
will be better to re-compute dv, dir, dp, &c. &c. 
This in common cases would be unnecessary. 
The new values are 
