ASTRONOMY: C. D. PERRINE 
493 
only, values are obtained from the stars both of Campbell's and Adams' 
catalogs which are nearly the same as those yielded by the generally 
accepted constants of the ellipsoidal theory. 
Evidence has been encountered in this investigation that the in- 
creases of radial velocity with spectral class and with decrease of 
brightness which have been observed, are in reaHty, largely at least, 
manifestations of the greater velocities which occur in the stars of 
large proper motion. When classified with respect to the size of proper 
motion and relation to the ellipsoidal axis, omitting a very few apparently 
exceptional velocities, these progressions disappear almost completely 
as will be seen from tables 2 and 3. 
TABLE 2 
According to Special Class* 
(Small fx) 
ADAMS' MT. WILSON CATALOG 
cambell's l 
O. CATALOGS 
3.0 and fainter 
2.9 and brighter 
P2 
Pi 
Mean 
P 
Pi 
Pi 
km. 
km. 
km. 
km. 
km. 
km. 
km. 
B 
(52) 8.6 
(29) 10.5 
8.2 
(60) 7.9 
(53) 8.2 
(16) 8.9 
(14) 5.3 
A. A 
(49) 9.7 
(55) 8.1 
8.5 
(56) 10.5 
(60) 9.8 
(3) 4.2 
F 
(6) 10.8 
(10) 7.3 
9.7 
(18) 12.2 
(18) 9.2 
(4) 12.3 
(3) 6.4 
G 
(23) 10.6 
(29) 7.8 
8.1 
(44) 11.4 
(32) 8.2 
(3) 2.7 
K 
(25) 11.6 
(24) 8.1 
9.7 
(80) 12.5 
(120) 10.8 
(6) 8.8 
(8) 6.2 
M 
(11) 10.0 
(13) 11.9 
8.8 
(13) 12.4 
(28) 11.0 
(2) 6.1 
(1) 1.5 
* Rejecting a few velocities of 30 km. and over. 
TABLE 3 
According to Brightness* 
SMALL H 
LARGE IX 
P2 
Pi 
P2 
P2' 
Pi 
Pi' 
km. 
km. 
km. 
km. 
km. 
km. 
2 . 9 and brighter. . . . 
(34) 13.5 
(34) 6.2 
(13) 15.9 
54.8 
(26) 13.6 
35.8 
3 to 5| 
(297) 13.6 
(317) 11.8 
(96) 26.4 
69.3 
(212) 17.6 
40.2 
5^ to 6^ 
(179) 12.4 
(169) 10.4 
(31) 45.2 
70.6 
(49) 22.3 
39.8 
* Omitting two stars in each of the two groups of 2.9 and brighter large fx because of the 
excessive effect in such small groups of their proper motions, p'^ and p[ have been reduced 
to proper motion unity to make them comparable in that respect. 
The conclusion from this investigation that the phenomenon of 
preferential motion for the ellipsoidal axis is confined to the nearer 
stars, in connection with the relation between radial velocity and proper 
motion which has been found by Kapteyn and Adams^ automatically 
