Surely the secret of the universe is discovered! But, wait a bit; is it
discovered? Is this force of gravity sufficient for the purpose? It must
vary inversely with the square of the distance from the centre of the
earth. How far is the moon away? Sixty earth's radii. Hence the force of
gravity at the moon's distance can only be 1/3600 of what it is on the
earth's surface. So, instead of pulling it 16 ft. per second, it should
pull it 16/3600 ft. per second, or 16 ft. a minute.[17] How can one
decide whether such a force is able to pull the moon the actual amount
required? To Newton this would seem only like a sum in arithmetic. Out
with a pencil and paper and reckon how much the moon falls toward the
earth in every second of its motion. Is it 16/3600? That is what it
ought to be: but is it? The size of the earth comes into the
calculation. Sixty miles make a degree, 360 degrees a circumference.
This gives as the earth's diameter 6,873 miles; work it out.
The answer is not 16 feet a minute, it is 13·9 feet.
Surely a mistake of calculation?
No, it is no mistake: there is something wrong in the theory, gravity is
too strong.
Instead of falling toward the earth 5-1/3 hundredths of an inch every
second, as it would under gravity, the moon only falls 4-2/3 hundredths
of an inch per second.
With such a discovery in his grasp at the age of twenty-three he is
disappointed--the figures do not agree, and he cannot make them agree.
Either gravity is not the force in action, or else something interferes
with it. Possibly, gravity does part of the work, and the vortices of
Descartes interfere with it.
He must abandon the fascinating idea for the time. In his own words, "he
laid aside at that time any further thought of the matter."
So far as is known, he never mentioned his disappointment to a soul. He
might, perhaps, if he had been at Cambridge, but he was a shy and
solitary youth, and just as likely he might not. Up in Lincolnshire, in
the seventeenth century, who was there for him to consult?
True, he might have rushed into premature publication, after our
nineteenth century fashion, but that was not his method. Publication
never seemed to have occurred to him.
His reticence now is noteworthy, but later on it is perfectly
astonishing. He is so absorbed in making discoveries that he actually
has to be reminded to tell any one about them, and some one else always
has to see to the printing and publishing for him.
I have entered thus fully into what I conjecture to be the stages of
this early discovery of the law of gravitation, as applicable to the
heavenly bodies, because it is frequently and commonly misunderstood. It
is sometimes thought that he discovered the force of gravity; I hope I
have made it clear that he did no such thing. Every educated man long
before his time, if asked why bodies fell, would reply just as glibly as
they do now, "Because the earth attracts them," or "because of the force
of gravity."
Public-domain text, read in full here on John Shaqi.
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