CHAPTER VI.

CLOSING YEARS.

Soon after its publication Kepler's "Epitome" was placed along with the

book of Copernicus, on the list of books prohibited by the Congregation

of the Index at Rome, and he feared that this might prevent the

publication or sale of his books in Austria also, but was told that

though Galileo's violence was getting him into trouble, there would be

no difficulty in obtaining permission for learned men to read any

prohibited books, and that he (Kepler) need fear nothing so long as he

remained quiet.

In his various works on Comets, he adhered to the opinion that they

travelled in straight lines with varying velocity. He suggested that

comets come from the remotest parts of ether, as whales and monsters

from the depth of the sea, and that perhaps they are something of the

nature of silkworms, and are wasted and consumed in spinning their own

tails. Napier's invention of logarithms at once attracted Kepler's

attention. He must have regretted that the discovery was not made early

enough to save him a vast amount of labour in computations, but he

managed to find time to compute some logarithm tables for himself,

though he does not seem to have understood quite what Napier had done,

and though with his usual honesty he gave full credit to the Scottish

baron for his invention.

Though Eugenists may find a difficulty in reconciling Napier's

brilliancy with the extreme youth of his parents, they may at any rate

attribute Kepler's occasional fits of bad temper to heredity. His

cantankerous mother, Catherine Kepler, had for some years been carrying

on an action for slander against a woman who had accused her of

administering a poisonous potion. Dame Kepler employed a young advocate

who for reasons of his own "nursed" the case so long that after five

years had elapsed without any conclusion being reached another judge was

appointed, who had himself suffered from the caustic tongue of the

prosecutrix, and so was already prejudiced against her. The defendant,

knowing this, turned the tables on her opponent by bringing an

accusation of witchcraft against her, and Catherine Kepler was

imprisoned and condemned to the torture in July, 1620. Kepler, hearing

of the sentence, hurried back from Linz, and succeeded in stopping the

completion of the sentence, securing his mother's release the following

year, as it was made clear that the only support for the case against

her was her own intemperate language. Kepler returned to Linz, and his

mother at once brought another action for costs and damages against her

late opponent, but died before the case could be tried.

A few months before this Sir Henry Wotton, English Ambassador to Venice,

visited Kepler, and finding him as usual, almost penniless, urged him to

go to England, promising him a warm welcome there. Kepler, however,

would not at that time leave Germany, giving several reasons, one of

which was that he dreaded the confinement of an island. Later on he

expressed his willingness to go as soon as his Rudolphine Tables were

published, and lecture on them, even in England, if he could not do it

in Germany, and if a good enough salary were forthcoming.

In 1624 he went to Vienna, and managed to extract from the Treasury 6000

florins on account of expenses connected with the Tables, but, instead

of a further grant, was given letters to the States of Swabia, which

owed money to the Imperial treasury. Some of this he succeeded in

collecting, but the Tables were still further delayed by the religious

disturbances then becoming violent. The Jesuits contrived to have

Kepler's library sealed up, and, but for the Imperial protection, would

have imprisoned him also; moreover the peasants revolted and blockaded

Linz. In 1627, however, the long promised Tables, the first to discard

the conventional circular motion, were at last published at Ulm in four

parts. Two of these parts consisted of subsidiary Tables, of logarithms

and other computing devices, another contained Tables of the elements of

the sun, moon, and planets, and the fourth gave the places of a thousand

stars as determined by Tycho, with Tycho's refraction Tables, which had

the peculiarity of using different values for the refraction of the sun,

moon, and stars. From a map prefixed to some copies of the Tables, we

may infer that Kepler was one of the first, if not actually the first,

to suggest the method of determining differences of longitude by

occultations of stars at the moon's limb. In an Appendix, he showed how

his Tables could be used by astrologers for their predictions, saying

"Astronomy is the daughter of Astrology, and this modern Astrology again

is the daughter of Astronomy, bearing something of the lineaments of her

grandmother; and, as I have already said, this foolish daughter,

Astrology, supports her wise but needy mother, Astronomy, from the

profits of a profession not generally considered creditable". There is

no doubt that Kepler strongly resented having to depend so much for his

income on such methods which he certainly did not consider creditable.

It was probably Galileo whose praise of the new Tables induced the Grand

Duke of Tuscany to send Kepler a gold chain soon after their

publication, and we may perhaps regard it as a mark of favour from the

Emperor Ferdinand that he permitted Kepler to attach himself to the

great Wallenstein, now Duke of Friedland, and a firm believer in

Astrology. The Duke was a better paymaster than either of the three

successive Emperors. He furnished Kepler with an assistant and a

printing press; and obtained for him the Professorship of Astronomy at

the University of Rostock in Mecklenburg. Apparently, however, the

Emperor could not induce Wallenstein to take over the responsibility of

the 8000 crowns, still owing from the Imperial treasury on account of

the Rudolphine Tables. Kepler made a last attempt to secure payment at

Ratisbon, but his journey thither brought disappointment and fatigue and

left him in such a condition that he rapidly succumbed to an attack of

fever, dying in November, 1630, in his fifty-ninth year. His body was

buried at Ratisbon, but the tombstone was destroyed during the war then

raging. His daughter, Susanna, the wife of Jacob Bartsch, a physician

who had helped Kepler with his Ephemeris, lost her husband soon after

her father's death, and succeeded in obtaining part of Kepler's arrears

of salary by threatening to keep Tycho's manuscripts, but her

stepmother was left almost penniless with five young children. For their

benefit Louis Kepler printed a "Dream of Lunar Astronomy," which first

his father and then his brother-in-law had been preparing for

publication at the time of their respective deaths. It is a curious

mixture of saga and fairy tale with a little science in the way of

astronomy studied from the moon, and cast in the form of a dream to

overcome the practical difficulties of the hypothesis of visiting the

moon. Other writings in large numbers were left unpublished. No attempt

at a complete edition of Kepler's works was made for a long time. One

was projected in 1714 by his biographer, Hantsch, but all that appeared

was one volume of letters. After various learned bodies had declined to

move in the matter the manuscripts were purchased for the Imperial

Russian library. An edition was at length brought out at Frankfort by C.

Frisch, in eight volumes, appearing at intervals from 1858-1870.

Kepler's fame does not rest upon his voluminous works. With his peculiar

method of approaching problems there was bound to be an inordinate

amount of chaff mixed with the grain, and he used no winnowing machine.

His simplicity and transparent honesty induced him to include

everything, in fact he seemed to glory in the number of false trails he

laboriously followed. He was one who might be expected to find the

proverbial "needle in a haystack," but unfortunately the needle was not

always there. Delambre says, "Ardent, restless, burning to distinguish

himself by his discoveries he attempted everything, and having once

obtained a glimpse of one, no labour was too hard for him in following

or verifying it. All his attempts had not the same success, and in fact

that was impossible. Those which have failed seem to us only fanciful;

those which have been more fortunate appear sublime. When in search of

that which really existed, he has sometimes found it; when he devoted

himself to the pursuit of a chimera, he could not but fail, but even

then he unfolded the same qualities, and that obstinate perseverance

that must triumph over all difficulties but those which are

insurmountable." Berry, in his "Short History of Astronomy," says "as

one reads chapter after chapter without a lucid, still less a correct

idea, it is impossible to refrain from regrets that the intelligence of

Kepler should have been so wasted, and it is difficult not to suspect at

times that some of the valuable results which lie embedded in this great

mass of tedious speculation were arrived at by a mere accident. On the

other hand it must not be forgotten that such accidents have a habit of

happening only to great men, and that if Kepler loved to give reins to

his imagination he was equally impressed with the necessity of

scrupulously comparing speculative results with observed facts, and of

surrendering without demur the most beloved of his fancies if it was

unable to stand this test. If Kepler had burnt three-quarters of what he

printed, we should in all probability have formed a higher opinion of

his intellectual grasp and sobriety of judgment, but we should have lost

to a great extent the impression of extraordinary enthusiasm and

industry, and of almost unequalled intellectual honesty which we now get

from a study of his works."

Professor Forbes is more enthusiastic. In his "History of Astronomy," he

refers to Kepler as "the man whose place, as is generally agreed, would

have been the most difficult to fill among all those who have

contributed to the advance of astronomical knowledge," and again _à

propos_ of Kepler's great book, "it must be obvious that he had at that

time some inkling of the meaning of his laws--universal gravitation.

From that moment the idea of universal gravitation was in the air, and

hints and guesses were thrown out by many; and in time the law of

gravitation would doubtless have been discovered, though probably not by

the work of one man, even if Newton had not lived. But, if Kepler had

not lived, who else could have discovered his Laws?"

APPENDIX I.

LIST OF DATES.

Johann Kepler, born 1571; school at Maulbronn, 1586; University of

Tübingen, 1589; M.A. of Tübingen, 1591; Professor at Gratz, 1594;

"Prodromus," with "Mysterium Cosmographicum," published 1596; first

marriage, 1597; joins Tycho Brahe at Prague, 1600; death of Tycho, 1601;

Kepler's optics, 1603; Nova, 1604; on Comets, 1607; Commentary on Mars,

including First and Second Laws, 1609; Professor at Linz, 1612; second

marriage, 1613; Third Law discovered, 1618; Epitome of Copernican

Astronomy, 1618-1621; Rudolphine Tables published, 1627; died, 1630.

APPENDIX II.

BIBLIOGRAPHY.

For a full account of the various systems of Kepler and his predecessors

the reader cannot do better than consult the "History of the Planetary

Systems, from Thales to Kepler," by Dr. J.L.E. Dreyer (Cambridge Univ.

Press, 1906). The same author's "Tycho Brahe" gives a wealth of detail

about that "Phoenix of Astronomers," as Kepler styles him. A great

proportion of the literature relating to Kepler is German, but he has

his place in the histories of astronomy, from Delambre and the more

modern R. Wolfs "Geschichte" to those of A. Berry, "History of

Astronomy" (University Extension Manuals, Murray, 1898), and Professor

G. Forbes, "History of Astronomy" (History of Science Series, Watts,

1909).

GLOSSARY.

Apogee: The point in the orbit of a celestial body when it is furthest

from the earth.

Apse: An extremity of the major axis of the orbit of a body; a body is

at its greatest and least distances from the body about which it

revolves, when at one or other apse.

Conjunction: When a plane containing the earth's axis and passing

through the centre of the sun also passes through that of the moon

or a planet, at the same side of the earth, the moon or planet is in

conjunction, or if on opposite sides of the earth, the moon or

planet is in opposition. Mercury and Venus cannot be in opposition,

but are in inferior or superior conjunction according as they are

nearer or further than the sun.

Deferent: In the epicyclic theory, uneven motion is represented by

motion round a circle whose centre travels round another circle, the

latter is called the deferent.

Ecliptic: The plane of the earth's orbital motion about the sun, which

cuts the heavens in a great circle. It is so called because

obviously eclipses can only occur when the moon is also

approximately in this plane, besides being in conjunction or

opposition with the sun.

Epicycle: A point moving on the circumference of a circle whose centre

describes another circle, traces an epicycle with reference to the

centre of the second circle.

Equant: In Ptolemy's excentric theory, when a planet is describing a

circle about a centre which is not the earth, in order to satisfy

the convention that the motion must be uniform, a point was found

about which the motion was apparently uniform,[4] and this point was

called the equant.

[Footnote 4: I.e. the _angular_ motion about the equant was uniform.]

Equinox: When the sun is in the plane of the earth's equator the lengths

of day and night are equal. This happens twice a year, and the times

when the sun passes the equator are called the vernal or spring

equinox and the autumnal equinox respectively.

Evection: The second inequality of the moon, which vanishes at new and

full moon and is a maximum at first and last quarter.

Excentric: As an alternative to epicycles, planets whose motion round

the earth was not uniform could be represented as moving round a

point some distance from the earth called the excentric.

Geocentric: Referred to the centre of the earth; e.g. Ptolemy's theory.

Heliocentric: Referred to the centre of the sun; e.g. the theory

commonly called Copernican.

Inequality: The difference between the actual position of a planet and

its theoretical position on the hypothesis of uniform circular

motion.

Node: The points where the orbit of the moon or a planet intersect the

plane of the ecliptic. The ascending node is the one when the planet

is moving northwards, and the line of intersection of the orbital

plane with the ecliptic is the line of nodes.

Occultation: Usually means when a planet or star is hidden by the moon,

but it also includes "occultation" of a star by a planet or of a

satellite by a planet or of one planet by another.

Opposition v. Conjunction.

Parallax: The error introduced by observing from some point other than

that required in theory, e.g. in geocentric places because the

observations are made from the surface of the earth instead of the

centre, or in heliocentric places because observations are made from

the earth and not from the sun.

Perigee: The point in the orbit of a celestial body when it is nearest

to the earth.

Precession: Owing to the slow motion of the earth's pole around the pole

of the ecliptic, the equator cuts the ecliptic a little earlier

every year, so that the equinox each year slightly precedes, with

reference to the stars, that of the previous year.

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