82 
5. Correction-terms. . 
The following relations now apply '): 
a= Am -0.04 X sin d + 0.22 Y sin d 
b cos d = Ansind + 0.93 A — 0.04 Y cos?d 
c cos d= — (0.93 Y + 0.20 Y cos? d — 0,04 X cos? d) 
a’ = —0.93 Z cos 0 — 0.10 Z eos? d—0.21 X cos d sin? d—0.03 Y cos d sin? d 
b' = 0.93 Y sin d + 0.04 Keos? db sin d + 0.08 Z cos? db sin d 
ce = An +0.98 X sin S+-0.20 X cos? d sind+ 0 04 Yeos° d sind 40.43 Zeos° d sind 
where Am and An represent the corrections of the constants of 
precession m and » and X, Y, Z the components of the motion 
of the sun. 
The following are considered as correction-terms: 
in a : the terms that do not depend upon Am 
» Ocosd: ,, a Ei & seamen 
5 COS O's 40 zb ae om AP ee Es Sr hd 
BÀ in ij kee be 2 
Ken she F PGA AS ad ve muss 
ek ol dan eN PE PLE a vo Amand X 
These correction-terms are calculated by means of values for the 
constants deduced from a preliminary solution: 
B-groups F-groups 
X = + 0"43 + 0"43 
Y = — 2"4 —1"6 
A 4 2'5 
They are then subtracted from the immediate results of the 
equations. The following table contains the results thus corrected. 
(See p. 83). 
The figures in this table will now serve for the determination of 
the constants of precession and solar motion: Am, An, X, Y, Z, the 
actual unknown quantities of our problem. For this purpose, however, 
the relative weights of the differences in @ and d between Kistner 
and the four zone-catalogues must first be deduced. 
6. Relative accuracy of the differences formed. Weights to be 
attributed to them. 
Auwers ®) gives a table of the mean errors of the various zone- 
catalogues of the A. G. deduced from a comparison with RoOMBERG. 
There are also values for the mean errors given in the zone-cata- 
logues themselves. Both are given below p. 84. 
1) These Proc. 18, 684, .693 
2) Astron. Nachr. 3842— 44. 
