a first Approximation to the Orbit of a Comet, i6i 
h* = 0-086843 
a* = 4-022438 . . . log. o 6044892 
log. a = 0-3022446 
6* — ^ 0-027826. 
This error is nearly equal to the former, but it has an op- 
posite sign : hence p will be nearly = 0-35. Suppose p = 0*35, 
then 
f- = 0-992821 
=. 0-926888 
V = 0-930800 
h* = 0058 109 
= 3*8394^8 . . . log. 0-3842654 
log. a = o 2921327 
4 - 6 * 
^ =z — 0*002298. 
By comparing this error with the last, we get a nearer value 
of p, viz. p = 0*354 : and the approximation is now far enough 
advanced to take in all the terms of the final equation in making 
the next substitution, viz. p = 0*354 : then 
r = 0-994422 
0-931729 
V = 0-932985 
6* = 0-060181 
a* = 3-852302 . . . log. 0*5857202 
1 + 
X 
3 
r*-r'*‘* 
log. a = 0-2928601 
I * 
+ TI • F = 
1*001434 = — 0*000212. 
MDCCCXIV. 
Y 
