175 
a first Approximation to the Orbit of a Comet, 
log. T = 0-9031887 
log. t' = 0-6057574 
log. a = 0-1372458 
cos. 7 = 9-9411400 
r* = 0-988192 — num. (0-104392) . p 
r'’“ = o‘98i987 — iiurti. (o-^6gg2i) . p - 4 - num. (0-274492 ) . p' 
V =: 0-963404 — num. (0-244138) . p + num. (0-078386) . p“. 
In this instance — — r is positive; and therefore the comet 
is nearer the sun than the earth is : hence p < num. (0-104392), 
or p < 1.270. To get narrower limits I assume p = = 
0-635, or p 0*6 ; then 
r =: 0-585160 
0-272317 
V = 0-341949 
b" = 0-173579 
1714954 . . . log. 0-2342388 
log. a = 0-1171194 
i’' — ^ = 4“ 0-042642. 
This error being positive, the value of p must be diminished : 
therefore suppose p = 0-5 ; then 
r* = 0-602332 
O’ 29652 8 
V = 0-385635 
b'^ = o- 127590 
a"" = 1797720 . . . log. 0-2547220 
log. a=z 0-1273610 
. gi 
~ ^ — o 000297. 
b^ 
