a first Approximation to the Orbit of a Comet, 171 
a* = 4*633380 . . . log. 0*6658978 
log. a = 0*3329489 
^ = + 0*008461. 
A comparison of the two errors will show that p = 0*17 nearly: 
this value being substituted, we get 
f = 1*242087 
1*012874 
V = 1*088439 
h" 0*078083 
a' = 4-509922 . . . log. 0*6541690 
log. a = 0*3270845 
5^ — . 0*001822. 
a 
By comparing this error with the last, it will be found that ^ 
is between 0*175 and 0*176: I therefore put p = 0*176; and 
as the errors are now small, I employ the complete final equa- 
tion: then 
= 1*252617 
1*014527 
V = 1*093647 
= 0*079850 
= 4*534288 . . . log. 0*6565091 
log. a = 0*3282546 
1 + i + TI .- T ‘= 1-002846 
— “X 1*002846 = — 0*000067. 
= 0*177: then 
1*254378 
1*014803 
Z a 
« 
1 next put p 
