392
DIFFUSE MATTER IN SPACE
We add for comparison the corresponding results for V Puppis and
Krueger 60 adopting V = 8 and V = 50 km. per sec. respectively, which
are about the average velocities for stars of their class.
Star
dM/dl
L/c 2
Ratio
V Puppis
1-8.10 11
2-9.10 16
165000
Sun
4-8.10 8
4-2.10 12
8800
Krueger 60
1-9.10 7
4-7.10 10
2500
Probably R ought to have been taken greater than the photospheric
radius of the star. I suppose that if an atom from space encountered the
solar corona it would be tangled up with it sufficiently to be captured by
the sun. But allowing for all uncertainties it seems clear that the loss of
mass by radiation cannot be compensated by accretion in any ordinary
type of star.
267. Loss of mass by escape of atoms has been considered by a number
of writers. According to E. A. Milne* the loss from a star by reason of
thermal velocities is quite negligible for all elements. There seems to be
some possibility of escape of the chromospheric atoms acted upon by
intense radiation pressure; but calculations are not as yet very definite f.
But in any case it is difficult to believe that the loss by escaping atoms
can be at all comparable with the loss of mass by radiation. The radiation
of the sun carries away a mass of 6.10 -11 gm. per sq. cm. per sec. We have
found (§ 254) that the average density of the calcium chromosphere is of
order 10~ 17 gm. per cu. cm.; so that the whole chromosphere would have
to move steadily outwards at 60 km. per sec. in order to carry away as
much mass as the radiation does !
The radiation of mass of the sun is equivalent to the escape of a billion
calcium atoms per second from each square centimetre of its surface.
It seems then that change of mass of a star by radiation far outweighs
any material accretion or loss. If that is so, the calculation of the duration
of stages of evolution in Table 41 must be accepted as definitive. As
already explained grave difficulties then arise as to the coexistence of
giants and dwarfs in the same cluster; it seems almost necessary to throw
over the idea of any important advance in evolution in the life-time of the
clusters, and it then becomes a question whether there is any point in
retaining the idea for stars in general. Somewhere in the present tangle
of evolution and sources of energy I have been misled; and my guidance
of the reader must terminate with the admission that I have lost my way.
* Trans. Camb. Phil. Soc. 26, p. 483 (1923).
t The problem is discussed by M. C. Johnson, Monthly Notices, 85, p. 813 (1925)-