As a consequence of the high compressibility of gases, this central
concentration of weight reaches its extreme limit in a purely
gaseous mass. The opposite extreme is reached in a mass of uniform
incompressible liquid such as water, in which there can be no central
concentration at all. As a mass of this latter type increases its speed
of rotation, the slightly flattened-orange shape merely gives place to
the shape of a more flattened orange. The tendency of a gaseous mass
to form a sharp edge round the equator is entirely absent, and the
cross-section of its figure remains elliptical throughout. At a still
higher speed of rotation, the equator loses its circular shape and it
too becomes elliptical. The figure has now three unequal diameters,
but every cross-section is strictly elliptical; the figure is an
“ellipsoid.” After this, its longest diameter begins to elongate until
the mass, still ellipsoidal in shape, has formed a cigar-shaped figure
with a length nearly three times its shortest diameter.
A new series of events now begins. The mass of liquid gradually
concentrates about two distinct points on its longest diameter, a waist
or furrow forming across its middle. This furrow gets deeper and deeper
until it has cut the body into two distinct detached masses, which now
rotate in orbital motion about one another and form a binary star. The
sequence of events is shewn in fig. 11; diagrams of the final stage as
represented by actual binary stars have already been given on p. 54.
For comparison the sequence of shapes assumed by a rotating mass of
gas is shewn in fig. 12, this being identical with the sequence of
observed nebular shapes which is actually observed, and is illustrated
photographically in Plate XVI (p. 207).
The two chains of configurations shewn in figs. 11 and 12 represent,
it will be remembered, the two extreme cases of a rotating body whose
substance is distributed with complete uniformity, and of a rotating
body whose substance is very highly condensed towards its centre. As
the constitutions of actual astronomical bodies must lie somewhere
between these two extremes, we might naturally expect such a body to
follow a series of configurations intermediate between the two shewn
in figs. 11 and 12. Theory shews that as a matter of fact it does
not. All bodies having less than a certain critical degree of central
condensation follow the sequence shewn in fig. 11, or a sequence
differing only immaterially from this; all bodies having more than
this critical amount of central condensation follow the sequence shewn
in fig. 12. Thus when this critical degree of central condensation
is reached there is a sudden swing over from fig. 11 to fig. 12. In
brief, every rotating body conducts itself either as if it were purely
liquid, or as if it were purely gaseous; there are no intermediate
possibilities.
[Illustration: Fig. 11. The sequence of configurations of a rotating
mass of liquid.]
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