One of his first explanations, however, dealt with certain
irregularities in the moon's motion around the earth. If the solar
system would consist of the earth and moon alone, then the path of the
moon would be that of an ellipse, with one of the foci of this ellipse
occupied by the earth. Unfortunately for the simplicity of the problem,
there are other bodies relatively near in space, particularly that huge
body, the sun. The sun not only exerts its pull on the earth but also
on the moon. However, as the sun is much further away from the moon
than is the earth, the earth's attraction for its satellite is much
greater, despite the fact that the sun is much huger and weighs far
more than the earth. The greater pull of the earth in one direction,
and a lesser pull of the sun in another, places the poor moon between
the devil and the deep sea. The situation gives rise to a complexity of
forces, the net result of which is that the moon's orbit is not quite
that of an ellipse. Newton was able to account for all the forces that
come into play, and he proved that the actual path of the moon was
a direct consequence of the law of inverse squares in actual operation.
The "Principia." The law of gravitation, embodying also laws of motion,
which we shall discuss presently, was first published in Newton's
immortal "Principia" (1686). A selection from the preface will disclose
the contents of the book, and, incidentally, the style of the author:
"... We offer this work as mathematical principles of philosophy; for
all the difficulty in philosophy seems to consist in this--from the
phenomena of motions to investigate the forces of nature, and then from
these forces to demonstrate the other phenomena; and to this end the
general propositions in the first and second book are directed. In the
third book we give an example of this in the explication of the system
of the world; for by the propositions mathematically demonstrated
in the first book, we there derive from the celestial phenomena the
forces of gravity with which bodies tend to the sun and the several
planets. Then, from these forces, by other propositions which are
also mathematical, we deduce the motions of the planets, the comets,
the moon and the sea. I wish we could derive the rest of the phenomena
of nature by the same kind of reasoning from mechanical principles;
for I am induced by many reasons to suspect that they may all depend
upon certain forces by which the particles of bodies, by some causes
hitherto unknown, are either mutually impelled towards each other,
and cohere in regular figures, or are repelled and recede from each
other...."
Public-domain text, read in full here on John Shaqi.
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