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of Kepler when at last, after years of toil, the glorious light
broke forth, and that which he considered to be the greatest of
his astonishing laws first dawned upon him. Kepler rightly judged
that the number of days which a planet required to perform its
voyage round the sun must be connected in some manner with the
distance from the planet to the sun; that is to say, with the
radius of the planet’s orbit, inasmuch as we may for our present
object regard the planet’s orbit as circular.
Here, again, in his search for the unknown law, Kepler had no
accurate dynamical principles to guide his steps. Of course, we
now know not only what the connection between the planet’s
distance and the planet’s periodic time actually is, but we also
know that it is a necessary consequence of the law of universal
gravitation. Kepler, it is true, was not without certain surmises
on the subject, but they were of the most fanciful description.
His notions of the planets, accurate as they were in certain
important respects, were mixed up with vague ideas as to the
properties of metals and the geometrical relations of the
regular solids. Above all, his reasoning was penetrated by the
supposed astrological influences of the stars and their
significant relation to human fate. Under the influence of such a
farrago of notions, Kepler resolved to make all sorts of trials in
his search for the connection between the distance of a planet
from the sun and the time in which the revolution of that planet
was accomplished.
It was quite easily demonstrated that the greater the distance of
the planet from the sun the longer was the time required for its
journey. It might have been thought that the time would be
directly proportional to the distance. It was, however, easy to
show that this supposition did not agree with the fact. Finding
that this simple relation would not do, Kepler undertook a vast
series of calculations to find out the true method of expressing
the connection. At last, after many vain attempts, he found, to
his indescribable joy, that the square of the time in which a
planet revolves around the sun was proportional to the cube of the
average distance of the planet from that body.
The extraordinary way in which Kepler’s views on celestial matters
were associated with the wildest speculations, is well illustrated
in the work in which he propounded his splendid discovery just
referred to. The announcement of the law connecting the distances
of the planets from the sun with their periodic times, was then
mixed up with a preposterous conception about the properties of
the different planets. They were supposed to be associated with
some profound music of the spheres inaudible to human ears, and
performed only for the benefit of that being whose soul formed the
animating spirit of the sun.
Kepler was also the first astronomer who ever ventured to predict
the occurrence of that remarkable phenomenon, the transit of a
planet in front of the sun’s disc. He published, in 1629, a
notice to the curious in things celestial, in which he announced
that both of the planets, Mercury and Venus, were to make a
transit across the sun on specified days in the winter of 1631.
The transit of Mercury was duly observed by Gassendi, and the
transit of Venus also took place, though, as we now know, the
circumstances were such that it was not possible for the
phenomenon to be witnessed by any European astronomer.
In addition to Kepler’s discoveries already mentioned, with which
his name will be for ever associated, his claim on the gratitude
of astronomers chiefly depends on the publication of his famous
Rudolphine tables. In this remarkable work means are provided for
finding the places of the planets with far greater accuracy than
had previously been attainable.
Kepler, it must be always remembered, was not an astronomical
observer. It was his function to deal with the observations made
by Tycho, and, from close study and comparison of the results, to
work out the movements of the heavenly bodies. It was, in fact,
Tycho who provided as it were the raw material, while it was the
genius of Kepler which wrought that material into a beautiful and
serviceable form. For more than a century the Rudolphine tables
were regarded as a standard astronomical work. In these days we
are accustomed to find the movements of the heavenly bodies set
forth with all desirable exactitude in the NAUTICAL ALMANACK,
and the similar publication issued by foreign Governments. Let it
be remembered that it was Kepler who first imparted the proper
impulse in this direction.
[PLATE: THE COMMEMORATION OF THE RUDOLPHINE TABLES.]
When Kepler was twenty-six he married an heiress from Styria, who,
though only twenty-three years old, had already had some
experience in matrimony. Her first husband had died; and it was
after her second husband had divorced her that she received the
addresses of Kepler. It will not be surprising to hear that his
domestic affairs do not appear to have been particularly happy,
and his wife died in 1611. Two years later, undeterred by the
want of success in his first venture, he sought a second partner,
and he evidently determined not to make a mistake this time.
Indeed, the methodical manner in which he made his choice of the
lady to whom he should propose has been duly set forth by him and
preserved for our edification. With some self-assurance he
asserts that there were no fewer than eleven spinsters desirous of
sharing his joys and sorrows. He has carefully estimated and
recorded the merits and demerits of each of these would-be brides.
The result of his deliberations was that he awarded himself to an
orphan girl, destitute even of a portion. Success attended his
choice, and his second marriage seems to have proved a much more
suitable union than his first. He had five children by the first
wife and seven by the second.
The years of Kepler’s middle life were sorely distracted by a
trouble which, though not uncommon in those days, is one which we
find it difficult to realise at the present time. His mother,
Catherine Kepler, had attained undesirable notoriety by the
suspicion that she was guilty of witchcraft. Years were spent in
legal investigations, and it was only after unceasing exertions on
the part of the astronomer for upwards of a twelvemonth that he
was finally able to procure her acquittal and release from prison.
It is interesting for us to note that at one time there was a
proposal that Kepler should forsake his native country and adopt
England as a home. It arose in this wise. The great man was
distressed throughout the greater part of his life by pecuniary
anxieties. Finding him in a strait of this description, the
English ambassador in Venice, Sir Henry Wotton, in the year 1620,
besought Kepler to come over to England, where he assured him that
he would obtain a favourable reception, and where, he was able to
add, Kepler’s great scientific work was already highly esteemed.
But his efforts were unavailing; Kepler would not leave his own
country. He was then forty-nine years of age, and doubtless a
home in a foreign land, where people spoke a strange tongue, had
not sufficient attraction for him, even when accompanied with the
substantial inducements which the ambassador was able to offer.
Had Kepler accepted this invitation, he would, in transferring his
home to England, have anticipated the similar change which took
place in the career of another great astronomer two centuries
later. It will be remembered that Herschel, in his younger days,
did transfer himself to England, and thus gave to England the
imperishable fame of association with his triumphs.
The publication of the Rudolphine tables of the celestial
movements entailed much expense. A considerable part of this was
defrayed by the Government at Venice but the balance occasioned no
little trouble and anxiety to Kepler. No doubt the authorities
of those days were even less Willing to spend money on scientific
matters than are the Governments of more recent times. For
several years the imperial Treasury was importuned to relieve him
from his anxieties. The effects of so much worry, and of the long
journeys which were involved, at last broke down Kepler’s health
completely. As we have already mentioned, he had never been
strong
from infancy, and he finally succumbed to a fever in November,
1630, at the age of fifty-nine. He was interred at St. Peter’s
Church at Ratisbon.
Though Kepler had not those personal characteristics which have
made his great predecessor, Tycho Brahe, such a romantic figure,
yet a picturesque element in Kepler’s character is not wanting.
It was, however, of an intellectual kind. His imagination, as
well as his reasoning faculties, always worked together. He was
incessantly prompted by the most extraordinary speculations. The
great majority of them were in a high degree wild and chimerical,
but every now and then one of his fancies struck right to the
heart of nature, and an immortal truth was brought to light.
I remember visiting the observatory of one of our greatest modern
astronomers, and in a large desk he showed me a multitude of
photographs which he had attempted but which had not been
successful, and then he showed me the few and rare pictures which
had succeeded, and by which important truths had been revealed.
With a felicity of expression which I have often since thought of,
he alluded to the contents of the desk as the “chips.” They were
useless, but they were necessary incidents in the truly successful
work. So it is in all great and good work. Even the most skilful
man of science pursues many a wrong scent. Time after time he
goes off on some track that plays him false. The greater the
man’s genius and intellectual resource, the more numerous will be
the ventures which he makes, and the great majority of those
ventures are certain to be fruitless. They are in fact, the
“chips.” In Kepler’s case the chips were numerous enough.
They were of the most extraordinary variety and structure.
But every now and then a sublime discovery was made of such a
character as to make us regard even the most fantastic of Kepler’s
chips with the greatest veneration and respect.
ISAAC NEWTON.
It was just a year after the death of Galileo, that an infant came
into the world who was christened Isaac Newton. Even the great
fame of Galileo himself must be relegated to a second place in
comparison with that of the philosopher who first expounded the
true theory of the universe.
Isaac Newton was born on the 25th of December (old style), 1642,
at Woolsthorpe, in Lincolnshire, about a half-mile from
Colsterworth, and eight miles south of Grantham. His father,
Mr. Isaac Newton, had died a few months after his marriage to
Harriet Ayscough, the daughter of Mr. James Ayscough, of Market
Overton, in Rutlandshire. The little Isaac was at first so
excessively frail and weakly that his life was despaired of.
The watchful mother, however, tended her delicate child with such
success that he seems to have thriven better than might have been
expected from the circumstances of his infancy, and he ultimately
acquired a frame strong enough to outlast the ordinary span of
human life.
For three years they continued to live at Woolsthorpe, the widow’s
means of livelihood being supplemented by the income from another
small estate at Sewstern, in a neighbouring part of
Leicestershire.
[PLATE: WOOLSTHORPE MANOR.
Showing solar dial made by Newton when a boy.]
In 1645, Mrs. Newton took as a second husband the Rev. Barnabas
Smith, and on
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