60 Dr. Brinkley's elements of 
Repeating the computation with these values we obtain 
April 8 
O I n 
So /II 
0 / II 
136 22 43 = , 
2 10 16 43=0 
51 2 44=* 
21 
144 28 59=/ 
256 34 = 0 / 
43 43 35 =®-' 
May 3 
148 30 40=/ 
2 3 3 35=0" 
39 59 5 6 = w " 
V = 8° 6' 29 V'= 12 0 8' 7" 
and thence U — V= — 13" and U' — V'= — 11 
Substituting these values on the right hand side of equations 
( 14) and (13), and solving the equations 
dp = — ,0001249 and dt = ,014049 
and the new values of p and t are^>=, 092800, and £=17.9456, 
which are sufficiently exact. From these new values of dp 
and dt we very easily get from the above values of dv &c. &c. 
April 8 
O / II 
s o /II 
0 /II 
136 25 33=^ 
2 10 13 5 7=0 
51 1 39=* 
21 
144 30 56=/ 
2 5 5 52=0' 
43 43 3 — x ' 
May 3 
148 32 16 — y" 
233 20 = 0" 
39 59 36— *■" 
V= 8 ° 5 ' 24 " V'=i2 e 6'45" 
The differences between the first values of / 3 , / 3 ' &c. &c. and 
these correct values, seem deserving of notice. 
It remains to find the place of the node, inclination of the 
orbit, and the place of perihelion. 
For this purpose it is very convenient and sufficiently exact* 
to compute, in the spherical triangle formed by the sides 
* We are enabled to use this short process for finding the inclination, in conse- 
quence of being able to compute so readily the new values of dV, and dV as well as 
of dn, d@. Sec. Sec. by substituting in the values above given, the last values of dp, 
dt. This may be considered as another advantage of this method of correcting the 
approximate elements of a comet’s orbit. 
