488 ASTRONOMY: H. RAYMOND 
components of motion in the three principal directions be [u], [v], [w], 
we have 
M = V (2Xi/7r), [v] = V (2X2/7r), M = V (2X3 /tt) 
provided the components are distributed according to the error law. 
They have merely the broad characters of such distribution, — sufficient 
to justify the process in the same sense that the customary method of 
finding the 'probable error/ without inquiring too diligently as to 
whether the errors of observation are actually distributed in the manner 
assumed in theory, is justified. 
TABLE 1 
Systematic Motion 
POLE OF PREFERENCE 
POLE OF AVOIDANCE 
MEA> 
SQUARE MOTIONS 
GROUP 
Al 
Di 
Aj 
Ds 
Ki 
B 
100?6 
-38?4 
180?4 
+ 12?6 
4.58 
1 
94 
1.33 
A 
92.4 
+ 1.8 
182.9 
+ 15.2 
25.65 
9 
15 
2.57 
F 
93.1 
+2.1 
185.2 
+45.9 
58.05 
28 
78 
22.66 
G 
93.8 
+3.4 
185.4 
+24.4 
32.26 
15 
81 
9.96 
K 
93.1 
+ 11.3 
191.2 
+35.3 
29.30 
18 
71 
11.46 
M 
94.0 
+25.3 
205.1 
+37.2 
28.14 
12 
58 
3.48 
X 
83.9 
+30.2 
192.6 
+29.0 
21.08 
12 
72 
5.33 
S 
91.9 
+ 4.2 
183.8 
+24.9 
28.91 
14 
99 
9.89 
L 
92.5 
+35.3 
211.7 
+34.5 
745.6 
261 
4 
194.7 
All 
92.3 
+ 16.9 
184.7 
+ 8.1 
107.3 
58 
7 
31.8 
TABLE 2 
Solar Motion 
GROUP 
NUMBER 
SOLAR APEX 
MEAN MOTIONS 
A 
D 
M 
[u]/M 
[v]/M 
[w]/M 
B 
492 
274?2 
+39?3 
2^33 
0.73 
0.47 
0.40 
A 
1647 
266.7 
+27.9 
4.03 
1.00 
0.60 
0.32 
F 
656 
262.9 
+27.0 
6.36 
0.96 
0.67 
0.60 
G 
446 
256.6 
+45.8 
2.60 
1.74 
1.22 
0.97 
K 
1227 
272.5 
+38.4 
4.02 
1.08 
0.86 
0.67 
M 
223 
272.2 
+45.7 
3.45 
1.23 
0.82 
0.43 
X 
693 
271.4 
+42.1 
3.06 
1.20 
0.93 
0.60 
S 
5384 
269.0 
+32.1 
3.83 
1.12 
0.81 
0.66 
L 
559 
269.3 
+31.5 
22.17 
1.01 
0.61 
0.52 
All 
5943 
269.1 
+32.3 
5.42 
1.53 
1.13 
0.83 
