82 
of the parabolic hypothesis with three complete observations 
very remarkable ?” 
** Markree Observatory, Collooney, 
“5th May, 1854. 
** Dear Sir,—A set of elements can hardly be regarded 
complete without the addition of the constants for facilitating 
the computation of the heliocentric co-ordinates. They are 
here subjoined,— 
x=asin(A+yv)sec*l pv 
y=bsin(B+v) sec*} v 
z=csin(C+,) sec*} v 
log. a = 9°2990850 + 20:0 d 
log. b = 9°3470892 - 12-4d 
log. c= 9°4044724- 28d 
A = 198° 56'54"2 - 025d 
B= 334 54 32°5-0°57d 
i 
C= 82 53 25°7+0:28d 
pecs, a’ | Values of d. 
| 
T= March 24:01376 | March 22, -O°77 
1:04 
log nee 0:8361840 | April 1, +0-27 
he | 1-08 
it + 1-35 
| bg 
log m=0°7963117 ) al, + 2°54 
v = True anomaly. 
m = Mean daily motion, if Barker’s table be used. 
q = perihelion distance. 
T = time of perihelion passage. 
‘«« The longitude of the ascending node was diminished 16’, 
in deducing the constants from the elements: this referred 
the axis of x nearly to the apparent equinox of March 31; 
the small equations annexed will reduce precisely to the ap- 
