CHAPTER III.

TYCHO BRAHE.

The age following that of Copernicus produced three outstanding figures

associated with the science of astronomy, then reaching the close of

what Professor Forbes so aptly styles the geometrical period. These

three Sir David Brewster has termed "Martyrs of Science"; Galileo, the

great Italian philosopher, has his own place among the "Pioneers of

Science"; and invaluable though Tycho Brahe's work was, the latter can

hardly be claimed as a pioneer in the same sense as the other two.

Nevertheless, Kepler, the third member of the trio, could not have made

his most valuable discoveries without Tycho's observations.

Of noble family, born a twin on 14th December, 1546, at Knudstrup in

Scania (the southernmost part of Sweden, then forming part of the

kingdom of Denmark), Tycho was kidnapped a year later by a childless

uncle. This uncle brought him up as his own son, provided him at the age

of seven with a tutor, and sent him in 1559 to the University of

Copenhagen, to study for a political career by taking courses in

rhetoric and philosophy. On 21st August, 1560, however, a solar eclipse

took place, total in Portugal, and therefore of small proportions in

Denmark, and Tycho's keen interest was awakened, not so much by the

phenomenon, as by the fact that it had occurred according to prediction.

Soon afterwards he purchased an edition of Ptolemy in order to read up

the subject of astronomy, to which, and to mathematics, he devoted most

of the remainder of his three years' course at Copenhagen. His uncle

next sent him to Leipzig to study law, but he managed to continue his

astronomical researches. He obtained the Alphonsine and the new Prutenic

Tables, but soon found that the latter, though more accurate than the

former, failed to represent the true positions of the planets, and

grasped the fact that continuous observation was essential in order to

determine the true motions. He began by observing a conjunction of

Jupiter and Saturn in August, 1563, and found the Prutenic Tables

several days in error, and the Alphonsine a whole month. He provided

himself with a cross-staff for determining the angular distance between

stars or other objects, and, finding the divisions of the scale

inaccurate, constructed a table of corrections, an improvement that

seems to have been a decided innovation, the previous practice having

been to use the best available instrument and ignore its errors. About

this time war broke out between Denmark and Sweden, and Tycho returned

to his uncle, who was vice-admiral and attached to the king's suite. The

uncle died in the following month, and early in the next year Tycho went

abroad again, this time to Wittenberg. After five months, however, an

outbreak of plague drove him away, and he matriculated at Rostock, where

he found little astronomy but a good deal of astrology. While there he

fought a duel in the dark and lost part of his nose, which he replaced

by a composition of gold and silver. He carried on regular observations

with his cross-staff and persevered with his astronomical studies in

spite of the objections and want of sympathy of his fellow-countrymen.

The King of Denmark, however, having a higher opinion of the value of

science, promised Tycho the first canonry that should fall vacant in the

cathedral chapter of Roskilde, so that he might be assured of an income

while devoting himself to financially unproductive work. In 1568 Tycho

left Rostock, and matriculated at Basle, but soon moved on to Augsburg,

where he found more enthusiasm for astronomy, and induced one of his new

friends to order the construction of a large 19-foot quadrant of heavy

oak beams. This was the first of the series of great instruments

associated with Tycho's name, and it remained in use for five years,

being destroyed by a great storm in 1574. Tycho meanwhile had left

Augsburg in 1570 and returned to live with his father, now governor of

Helsingborg Castle, until the latter's death in the following year.

Tycho then joined his mother's brother, Steen Bille, the only one of his

relatives who showed any sympathy with his desire for a scientific

career.

On 11th November, 1572, Tycho noticed an unfamiliar bright star in the

constellation of Cassiopeia, and continued to observe it with a sextant.

It was a very brilliant object, equal to Venus at its brightest for the

rest of November, not falling below the first magnitude for another four

months, and remaining visible for more than a year afterwards. Tycho

wrote a little book on the new star, maintaining that it had practically

no parallax, and therefore could not be, as some supposed, a comet.

Deeming authorship beneath the dignity of a noble he was very reluctant

to publish, but he was convinced of the importance of increasing the

number and accuracy of observations, though he was by no means free from

all the erroneous ideas of his time. The little book contained a certain

amount of astrology, but Tycho evidently did not regard this as of very

great importance. He adopted the view that the very rarity of the

phenomenon of a new star must prevent the formulation and adoption of

definite rules for determining its significance. We gather from lectures

which he was persuaded to deliver at the University of Copenhagen that,

though in agreement with the accepted canons of astrology as to the

influence of planetary conjunctions and such phenomena on the course of

human events, he did not consider the fate predicted by anyone's

horoscope to be unavoidable, but thought the great value of astrology

lay in the warnings derived from such computations, which should enable

the believer to avoid threatened calamities. In 1575 he left Denmark

once more and made his way to Cassel, where he found a kindred spirit in

the studious Landgrave, William IV. of Hesse, whose astronomical

pursuits had been interrupted by his accession to the government of

Hesse, in 1567. Tycho observed with him for some time, the two forming a

firm friendship, and then visited successively Frankfort, Basle, and

Venice, returning by way of Augsburg, Ratisbon, and Saalfeld to

Wittenberg; on the way he acquired various astronomical manuscripts,

made friends among practical astronomers, and examined new instruments.

He seemed to have considered the advantages of the several places thus

visited and decided on Basle, but on his return to Denmark to fetch his

family with the object of transferring them to Basle, he found that his

friend the Landgrave had written to King Frederick on his behalf,

urging him to provide the means to enable Tycho to pursue his

astronomical work, promising that not only should credit result for the

king and for Denmark but that science itself would be greatly advanced.

The ultimate result of this letter was that after refusing various

offers, Tycho accepted from the king a grant of the small island of

Hveen, in the Sound, with a guaranteed income, in addition to a large

sum from the treasury for building an observatory on the island, far

removed from the distractions of court life. Here Tycho built his

celebrated observatory of Uraniborg and began observations in December,

1576, using the large instruments then found necessary in order to

attain the accuracy of observation which within the next half-century

was to be so greatly facilitated by the invention of the telescope. Here

also he built several smaller observing rooms, so that his pupils should

be able to observe independently. For more than twenty years he

continued his observations at Uraniborg, surrounded by his family, and

attracting numerous pupils. His constant aim was to accumulate a large

store of observations of a high order of accuracy, and thus to provide

data for the complete reform of astronomy. As we have seen, few of the

Danish nobles had any sympathy with Tycho's pursuits, and most of them

strongly resented the continual expense borne by the King's treasury.

Tycho moreover was so absorbed in his scientific pursuits that he would

not take the trouble to be a good landlord, nor to carry out all the

duties laid upon him in return for certain of his grants of income. His

buildings included a chemical laboratory, and he was in the habit of

making up elixirs for various medical purposes; these were quite

popular, particularly as he made no charge for them. He seems to have

been something of a homoeopathist, for he recommends sulphur to cure

infectious diseases "brought on by the sulphurous vapours of the Aurora

Borealis"!

King Frederick, in consideration of various grants to Tycho, relied

upon his assistance in scientific matters, and especially in

astrological calculations; such as the horoscope of the heir apparent,

Prince Christian, born in 1577, which has been preserved among Tycho's

writings. There is, however, no known copy in existence of any of the

series of annual almanacs with predictions which he prepared for the

King. In November, 1577, appeared a bright comet, which Tycho carefully

observed with his sextant, proving that it had no perceptible parallax,

and must therefore be further off than the moon. He thus definitely

overthrew the common belief in the atmospheric origin of comets, which

he had himself hitherto shared. With increasing accuracy he observed

several other comets, notably one in 1585, when he had a full equipment

of instruments and a large staff of assistants. The year 1588, which saw

the death of his royal benefactor, saw also the publication of a volume

of Tycho's great work "Introduction to the New Astronomy". The first

volume, devoted to the new star of 1572, was not ready, because the

reduction of the observations involved so much research to correct the

star places for refraction, precession, etc.; it was not completed in

fact until Tycho's death, but the second volume, dealing with the comet

of 1577, was printed at Uraniborg and some copies were issued in 1588.

Besides the comet observations it included an account of Tycho's system

of the world. He would not accept the Copernican system, as he

considered the earth too heavy and sluggish to move, and also that the

authority of Scripture was against such an hypothesis. He therefore

assumed that the other planets revolved about the sun, while the sun,

moon, and stars revolved about the earth as a centre. Geometrically this

is much the same as the Copernican system, but physically it involves

the grotesque demand that the whole system of stars revolves round our

insignificant little earth every twenty-four hours. Since his previous

small book on the comet, Tycho had evidently considered more fully its

possible astrological significance, for he foretold a religious war,

giving the date of its commencement, and also the rising of a great

Protestant champion. These predictions were apparently fulfilled almost

to the letter by the great religious wars that broke out towards the end

of the sixteenth century, and in the person of Gustavus Adolphus.

King Frederick's death did not at first affect Tycho's position, for the

new king, Christian, was only eleven years old, and for some years the

council of regents included two of his supporters. After their deaths,

however, his emoluments began to be cut down on the plea of economy, and

as he took very little trouble to carry out any other than scientific

duties it was easy enough for his enemies to find fault. One after

another source of income was cut off, but he persevered with his

scientific work, including a catalogue of stars. He had obtained plenty

of good observations of 777 stars, but thought his catalogue should

contain 1000 stars, so he hastily observed as many more as he could up

to the time of his leaving Hveen, though even then he had not completed

his programme. About the time that King Christian reached the age of

eighteen, Tycho began to look about for a new patron, and to consider

the prospects offered by transferring himself with his instruments and

activities to the patronage of the Emperor Rudolph II. In 1597, when

even his pension from the Royal treasury was cut off, he hurriedly

packed up his instruments and library, and after a few weeks' sojourn at

Copenhagen, proceeded to Rostock, in Mecklenburg, whence he sent an

appeal to King Christian. It is possible that had he done this before

leaving Hveen it might have had more effect, but it can be readily seen

from the tone of the king's unfavourable reply that his departure was

regarded as an aggravation of previous shortcomings. Driven from Rostock

by the plague, Tycho settled temporarily at Wandsbeck, in Holstein, but

towards the end of 1598 set out to meet the Emperor at Prague. Once

more plague intervened and he spent some time at Dresden, afterwards

going to Wittenberg for the winter. He ultimately reached Prague in

June, 1599. Rudolph granted him a salary of at least 3000 florins,

promising also to settle on him the first hereditary estate that should

lapse to the Crown. He offered, moreover, the choice between three

castles outside Prague, of which Tycho chose Benatek. There he set about

altering the buildings in readiness for his instruments, for which he

sent to Uraniborg. Before they reached him, after many vexatious delays,

he had given up waiting for the funds promised for his building

expenses, and removed from Benatek to Prague. It was during this

interval that after considerable negotiation, Kepler, who had been in

correspondence with Tycho, consented to join him as an assistant.

Another assistant, Longomontanus, who had been with Tycho at Uraniborg,

was finding difficulty with the long series of Mars observations, and it

was arranged that he should transfer his energies to the lunar

observations, leaving those of Mars for Kepler. Before very much could

be done with them, however, Tycho died at the end of October, 1601. He

may have regretted the peaceful island of Hveen, considering the

troubles in which Bohemia was rapidly becoming involved, but there is

little doubt that had it not been for his self-imposed exile, his

observations would not have come into Kepler's hands, and their great

value might have been lost. In any case it was at Uraniborg that the

mass of observations was produced upon which the fame of Tycho Brahe

rests. His own discoveries, though in themselves the most important made

in astronomy for many centuries, are far less valuable than those for

which his observations furnished the material. He discovered the third

and fourth inequalities of the moon in longitude, called respectively

the variation and the annual equation, also the variability of the

motion of the moon's nodes and the inclination of its orbit to the

ecliptic. He obtained an improved value of the constant of precession,

and did good service by rejecting the idea that it was variable, an idea

which, under the name of trepidation, had for many centuries been

accepted. He discovered the effect of refraction, though only

approximately its amount, and determined improved values of many other

astronomical constants, but singularly enough made no determination of

the distance of the sun, adopting instead the ancient and erroneous

value given by Hipparchus.

His magnificent Observatory of Uraniborg, the finest building for

astronomical purposes that the world had hitherto seen, was allowed to

fall into decay, and scarcely more than mere indications of the site may

now be seen.

Kepler · 第 3 / 6 章