These considerations amply explain why the molecules of the stars must
necessarily remain aggregated now that the aggregates have once been
formed, but the question of how and why these aggregates formed in the
first instance is far more complex. What, for instance, determined that
there should be about 10⁵⁶ molecules in each star rather than 10⁵⁴ or
10⁵⁸?
GRAVITATIONAL INSTABILITY
It is natural to enquire whether the forces which now keep a star
together may not also have been responsible for its falling together
in the first instance. This leads us to study the aggregating power of
gravitation in some detail.
Five years after Newton had published his law of gravitation, Bentley,
the Master of Trinity College, wrote him, raising the question of
whether the newly discovered force of gravitation would not account for
the aggregation of matter into stars, and we find Newton replying, in a
letter of date December 10, 1692:
It seems to me, that if the matter of our sun and planets,
and all the matter of the universe, were evenly scattered
throughout all the heavens, and every particle had an innate
gravity towards oil the rest, and the whole space throughout
which this matter was scattered, was finite, the matter on
the outside of this space would by its gravity tend towards
all the matter on the inside, and by consequence fall down
into the middle of the whole space, and there compose one
great spherical mass. But if the matter were evenly disposed
throughout an infinite space, it could never convene into
one mass; but some of it would convene into one mass and
some into another, so as to make an infinite number of
great masses, scattered great distances from one to another
throughout all that infinite space. And thus might the sun
and fixed stars be formed, supposing the matter were of a
lucid nature.
An exact mathematical investigation on which I embarked in 1901, not
only confirms Newton’s conjecture in general terms, but also provides
a method for calculating what size of aggregates would be formed under
the action of gravitation.
Public-domain text, read in full here on John Shaqi.
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