12. We have seen that some of those stars, which we have the best means
of examining, are, in mass, one third, or less, of our Sun. If such a
mass, at the distance of the fixed stars, were diffused through a sphere
equal in radius to the earth's orbit, it would still appear to us as a
point; as is evident by this, that the fixed stars, for the most part,
have no discoverable annual parallax; that is, the earth's orbit appears
to them a point. If one of the fixed stars, Sirius, for instance, be in
this diffused condition, such a circumstance will not, mechanically
speaking, prevent his having planets revolving round him; for, as we
have said, the attraction of his whole mass, in whatever state of
spherical diffusion, will be the same as if it were collected at the
centre. But such a state of diffusion will make him so unlike our Sun,
as much to break the force of the presumption that he must have planets
because our Sun has. If the luminous matter of the stars gradually
cools, grows dark, and solidifies, such diffusion would imply that the
time of solidification is not yet begun; and therefore that the solid
planets which accompany the luminous central body are not yet brought
into being. If there be any truth in this hypothetical account of the
changes, through which the matter of the stars successively passes; and
if, by such changes, planetary systems are formed; how many of the fixed
stars may never yet have reached the planetary state! how many, for want
of some necessary mechanical condition, may never give rise to permanent
orbits at all!
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