Newton's Principia : $b The mathematical principles of natural philosophyNewton, Isaac
General
Newton's Principia : $b The mathematical principles of natural philosophy
Newton, Isaac
Celestial mechanics -- Early works to 1800; Mechanics -- Early works to 1800
Towards the close of a pleasant day in the early autumn of 1666,
he was seated alone beneath a tree, in his garden, absorbed in
meditation. He was a slight young man; in the twenty-fourth year of
his age; his countenance mild and full of thought. For a century
previous, the science of Astronomy had advanced with rapid strides.
The human mind had risen from the gloom and bondage of the middle
ages, in unparalleled vigour, to unfold the system, to investigate
the phenomena, and to establish the laws of the heavenly bodies.
Copernicus, Tycho Brahe, Kepler, Galileo, and others had prepared and
lighted the way for him who was to give to their labour its just value,
and to their genius its true lustre. At his bidding isolated facts
were to take order as parts of one harmonious whole, and sagacious
conjectures grow luminous in the certain splendour of demonstrated
truth. And this ablest man had come—was here. His mind, familiar with
the knowledge of past effort, and its unequalled faculties developed
in transcendant strength, was now moving on to the very threshold of
its grandest achievement. Step by step the untrodden path was measured,
till, at length, the entrance seemed disclosed, and the tireless
explorer to stand amid the first opening wonders of the universe.
The nature of gravity—that mysterious power which causes all bodies
to descend towards the centre of the earth—had, indeed, dawned upon
him. And reason busily united link to link of that chain which was
yet to be traced joining the least to the vastest, the most remote to
the nearest, in one harmonious bond. From the bottoms of the deepest
caverns to the summits of the highest mountains, this power suffers
no sensible change: may not its action, then, extend to the moon?
Undoubtedly: and further reflection convinced him that such a power
might be sufficient for retaining that luminary in her orbit round
the earth. But, though this power suffers no sensible variation, in
the little change of distance from the earth's centre, at which we
may place ourselves, yet, at the distance of the moon, may not its
force undergo[Pg 17] more or less diminution? The conjecture appeared most
probable: and, in order to estimate what the degree of diminution might
be, he considered that if the moon be retained in her orbit by the
force of gravity, the primary planets must also be carried round the
sun by the like power; and, by comparing the periods of the several
planets with their distances from the sun, he found that, if they were
held in their courses by any power like gravity, its strength must
decrease in the duplicate proportion of the increase of distance. In
forming this conclusion, he supposed the planets to move in perfect
circles, concentric to the sun. Now was this the law of the moon's
motion? Was such a force, emanating from the earth and directed to the
moon, sufficient, when diminished as the square of the distance, to
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