THE MASS-LUMINOSITY RELATION
155
theory to be tested was put forward. Only two stars in Hertzsprung’s
list are omitted, viz. the companions of Sirius and Procyon, the former
because it is a “white dwarf” to which our theory does not apply and the
latter because the spectrum is unknown and it is impossible to guess what
corrections may be involved. The bright component of o 2 Eridani which
is also a white dwarf is for that reason not represented in Fig. 2, although
(presumably by a cancelling of errors) it happens to agree with the curve.
Table 19.
Eclipsing Variables.
Star
Gr.
Type
T e
cos i
Mass
B/a
-R(® =1)
m (bol.)
m (cale.)
O-G
V Puppis
1
B 1
19000
•274
19-2
•417
7-60
m
- 4-61
m
- 5-00
m
+ 0-4
YCygni
3
B 2
18000
•088
16-6
•166
4-60
- 3-29
- 4-66
+ 1-4
¡3 Lyrae
2
B 8
12500
•467
13-9
•219
12-09
- 3-80
- 3-98
+ 0-2
u Herculis
1
B 3
17000
•268
7-6
•290
4-29
- 2-89
- 2-90
0-0
U Ophiuchi
1
B 9
11500
•105
5-36
•240
3-07
- 0-47
- 1-69
+ 1-2
Z Vulpec.
2
B 3
17000
•013
5-24
•262
3-94
- 2-70
- 1-98
- 0-7
RS Vulpec.
4
A 0
10500
•000
4-34
•252
5-16
- 1-20
- 1-05
- 0-2
U Coronae
2
B 3
17000
•148
4-27
•167
2-90
- 2-04
- 1-43
- 0-6
[3 Aurigae
1
A 0 p
10500
•228
2-38
•158
2-80
0-13
0-77
- 0-6
TX Herculis
3
A 2
9800
•065
2-04
•125
1-33
2-04
1-35
+ 0-7
TV Cassiop.
4
A 0
10500
•176
1-83
•272
2-45
0-34
1-68
- 1-3
Z Herculis
2
F 2
7600
•139
1-56
•117
1-77
2-53
2-55
0-0
W Ursae Maj.
1
F 8 p
6200
•244
0-74
•323
0-70
5-42
5-81
- 0-4
Table 20.
Cepheid Variables.
Star
Type
T e
Period
Mass
m (vis.)
m (bol.)
m (cale.)
O-C
d
m
m
m
m
Y Ophiuchi
G 2
4800
17-113
26-2
- 4-0
- 4-21
- 4-43
+ 0-22
rj Aquilae
G 0
5100
7-176
13-9
- 2-62
- 2-76
- 3-19
+ 0-43
S Cephei
F 9
5200
5-366
11-3
- 2-19
- 2-30
- 2-77
+ 0-47
SU Cassiop.
F 5
6000
1-950
6-82
- 1-2
- 1-20
- 1-74
+ 0-54
RR Lyrae
A 9
7300
0-567
4-14
- 0-35
- 0-36
- 0-61
+ 0-25
The star 80 Tauri omitted here is included in the fuller discussion of the
Hyades which follows. The parallax given by Hertzsprung for /3 Aurigae
depends on the probable assumption that it is a member of the Ursa
Major stream, but since it is near the stream apex the probable error is
rather large.
The stars 8 Equulei and e Hydrae have been added*. Their parallaxes
are obtained by a comparison of the visual and spectroscopic orbits
* Aitken, The Binary Stars, p. 209.