52) REPORT—1885. 
dh _ i da * XSaee Wiehe tira 
apt a o+(G —2),y n=15°, y—o=14°'49, 
Y=t+h—a 
=[(y—n)r+a,—h ol+[h+9]—[aator+ (0) 
P= >on ae or. 
For the sake of brevity, put 
T= (y- a)r, 
so that T is r converted to angle at the rate of 14°49 per hour. Then 
we have 
‘ig (Gor ee BD 
Similarly putting a, for ©’s R.A. at )’s transit, we have 
y=t+h—a, 
=[y— rte, —hel+[ hot ar]—[at er (0) 
so that 
Soa pa Cae 
Then let 
A=0;5=-0,, + >», » « ¢¢ ie eee 
So that A is the apparent time of }’s transit, reduced to angle at 15° 
per hour, and we have 
p=T+A+ (o-Se)> een 
dt 
It is only in the two principal tides that we need regard the changes 
of R.A. since )’s transit, and in all the smaller terms we may simply put 
Y=T, J,=T+A. 
The first pair of terms of (28) now become 
M, cos 2[T— (Ge-#)r-H)+8 cos 2[T4+A+ (0-5 r— ], 
and these are -e equal to 
M, cos 2(T—p)+8 cos 2(T +A—Z) 
Ir fda a, ! x 
+ia0( ap? yee sin 2(T—) — Ge a8 sin 2[T+4A—Z] (84) 
We may now collect together all the results, and write them in the 
form of a schedule. 
* It would be better to put 
A=a,—a,+ 22" q, 
13 fimo 1 
If this be used the correction (40) for ©’s change of R.A. becomes small. 
