1891; Orbit.of the Comes of Sirius. 43 
Then : 
— °08152 « — :04736 a7 + 1—0 
And : | 
x 98815 and — 5°535 
Measurements by compass give, 
x = 3°81 and — 5°54 
Making x — 0, 
Then : 
+ *40828 y — :051338 y? + i 0. 
And : 
y = 1°916 and — 9:920. 
Measurements by compass give, 
y = 1:925 and — 9:920. 
But the general equation to the ellipse is, 
axt+Bytye4+oxyteyvr+1—0 
‘Therefore, substituting : 
oi—a—)  0Sloa2, 
e058) 
e047 36: 
5 = + 03262, 
e = — ‘05138. 
1V.—DETERMINATION OF ALL THE ELEMENTS EXCEPT PERIODIC 
TIME AND PERI-ASTRON DATE. 
- As already determined : 
= 08152 [891127] n 
8B = + *40828 [961097] 
y— — ‘04736 | 867542] n 
05138 [8°71038] » 
j= 4203962, *[8'51856] 
The following elegant formulae, given by Prof. Kowalsky, Kazan, 
determine the relations between these co-efficients and the elements of 
the true orbit : 
2; . 
—— Cos 20 = (y — #) — 7@@ — 8B”) 
Le Oe) ee 
