22 C. V. L. CHARLIER, 
The number of stars in these different divisions are seen from 
the table 
Table 2. Number of stars. 
m Bo Bi Be Bs Bs = 
< 4.99 14 18 24 55 42 153 
5.00 — 5.99 23 8 16 102 62 211 
ES HD) 37 26 40 157 104 364 
When calculating the values of R it is advisable to write the 
normal equations in a form differing from that used in the preceding 
investigation. The large numbers arrived at in those computations 
are indeed avoided if the coefficients in the normal equations are di- 
vided by the number, N, of observed stars. We attain moreover in 
this manner the advantage to get equations nearly of the same form, 
as far as the coefficients of the unknown quantities are concerned. 
I give here the normal equations obtained for the different sub- 
classes from all stars fainter than the 6" magnitude. The right mem- 
bers are here expressed in radians (o) per stellar year. 
Subclass Bo (N = 37) 
+ 0.8602 x: + 0.0525 y — 0.1484 2 = + O° 1572 
I 
+ 0.0525 x: + 0.4897 y + 0.1420 2 = + O 7158 
— 0.1485 x + 0.1420 y + 0.6501 Z = — 0.0950 
where 
BO ae Vale Ce, chia 
Subclass Bi (N = 26). 
+ 0.8929 x: — 0.1068 y — 0.1683 2 = — O° 0788 , 
— 0.1068 x + 0.4736 y — 0.0962 2 = + 0.2978 , 
— 0.1683 x: — 0.0962 y + 0.6374 2 = — 0.1595 . 
Subclass Be (N = 40). 
Oro ac — 0819707) 1901 0. C0 os 
— 0.0619 x: + 0.5294 y + 0.0211 2 = + 0.2245 , 
— 0.1921 x + 0,0211 y + 0.7045 2 = — 0.2902 . 
