STUDIES IN STELLAR Statistics II. 15 
S. Faint stars. Regarding the stars fainter than the 5" magni- 
tude the knowledge of the radial velocities is still very scanty. In 
the catalogue of GYLLENBERG there are only 32 stars of the type 5 
between the 5" and the 6" magnitude, with known radial velocity, 
out of 214. I have examined the radial velocities of these 32 stars and 
found a solar velocity almost identical to that found from the B-stars 
brighter than the 5" magnitude, while on the other hand the coordi- 
nates of the Apex come out rather discordant. The components of the 
mean velocity of these 32 stars have the values 
UM" = — Ieee à 
V" = + 3878, 
W" = — 1.218 , 
all expressed in Siriometers per stellar year. 
Hence we get 
Oxo 
almost the same value (44ss) as from the brighter stars, whereas the 
values of the components differ considerably from those given in (10). 
Taking into consideration that the values of the components deduced 
from the 32 faint stars have large mean errors amounting to about 
one Siriometer per stellar year, there is, however, no reason to accept 
a systematie motion of the faint B-stars in relation to the bright ones. 
This being the case we may deduce the value of À even from 
the B-stars fainter than 5".o, with the help of their known proper 
motions. Treating them in the same manner as the brighter stars, I 
have obtained the following normal equations. 
From the proper motions in right ascension we get. 
145.030 U" 9.570. VIS (5072 PR 
9.570 U" + 69,970 V'' = + 17.3573 R 
where the factors of R, in the right members, are expressed in se- 
conds of are per year, and must be multiplied by 4.s4sı to be expres- 
sed in radians per stellar year. 
