It has often been the good fortune of astronomers to render practical

services to humanity by their investigations, and Halley's

achievements in this respect deserve to be noted. A few years after

he had settled in England, he published an important paper on the

variation of the magnetic compass, for so the departure of the needle

from the true north is termed. This subject had indeed early engaged

his attention, and he continued to feel much interest in it up to the

end of his life. With respect to his labours in this direction, Sir

John Herschel says: "To Halley we owe the first appreciation of the

real complexity of the subject of magnetism. It is wonderful indeed,

and a striking proof of the penetration and sagacity of this

extraordinary man, that with his means of information he should have

been able to draw such conclusions, and to take so large and

comprehensive a view of the subject as he appears to have done." In

1692, Halley explained his theory of terrestrial magnetism, and

begged captains of ships to take observations of the variations of

the compass in all parts of the world, and to communicate them to the

Royal Society, "in order that all the facts may be readily available

to those who are hereafter to complete this difficult and complicated

subject."

The extent to which Halley was in advance of his contemporaries, in

the study of terrestrial magnetism, may be judged from the fact that

the subject was scarcely touched after his time till the year 1811.

The interest which he felt in it was not of a merely theoretical

kind, nor was it one which could be cultivated in an easy-chair. Like

all true investigators, he longed to submit his theory to the test of

experiment, and for that purpose Halley determined to observe the

magnetic variation for himself. He procured from King William III.

the command of a vessel called the "Paramour Pink," with which he

started for the South Seas in 1694. This particular enterprise was

not, however, successful; for, on crossing the line, some of his men

fell sick and one of his lieutenants mutinied, so that he was obliged

to return the following year with his mission unaccomplished. The

government cashiered the lieutenant, and Halley having procured a

second smaller vessel to accompany the "Paramour Pink," started once

more in September, 1699. He traversed the Atlantic to the 52nd

degree of southern latitude, beyond which his further advance was

stopped. "In these latitudes," he writes to say, "we fell in with

great islands of ice of so incredible height and magnitude, that I

scarce dare write my thoughts of it."

On his return in 1700, Halley published a general chart, showing the

variation of the compass at the different places which he had

visited. On these charts he set down lines connecting those

localities at which the magnetic variation was identical. He thus

set an example of the graphic representation of large masses of

complex facts, in such a manner as to appeal at once to the eye, a

method of which we make many applications in the present day.

But probably the greatest service which Halley ever rendered to human

knowledge was the share in which he took in bringing Newton's

"Principia" before the world. In fact, as Dr. Glaisher, writing in

1888, has truly remarked, "but for Halley the 'Principia' would not

have existed."

It was a visit from Halley in the year 1684 which seems to have first

suggested to Newton the idea of publishing the results of his

investigations on gravitation. Halley, and other scientific

contemporaries, had no doubt some faint glimmering of the great truth

which only Newton's genius was able fully to reveal. Halley had

indeed shown how, on the assumptions that the planets move in

circular orbits round the sun, and that the squares of their periodic

times are proportional to the cubes of their mean distances, it may

be proved that the force acting on each planet must vary inversely as

the square of its distance from the sun. Since, however, each of the

planets actually moves in an ellipse, and therefore, at continually

varying distances from the sun, it becomes a much more difficult

matter to account mathematically for the body's motions on the

supposition that the attractive force varies inversely as the square

of the distance. This was the question with which Halley found

himself confronted, but which his mathematical abilities were not

adequate to solve. It would seem that both Hooke and Sir Christopher

Wren were interested in the same problem; in fact, the former claimed

to have arrived at a solution, but declined to make known his

results, giving as an excuse his desire that others having tried and

failed might learn to value his achievements all the more. Halley,

however, confessed that his attempts at the solution were

unsuccessful, and Wren, in order to encourage the other two

philosophers to pursue the inquiry, offered to present a book of

forty shillings value to either of them who should in the space of

two months bring him a convincing proof of it. Such was the value

which Sir Christopher set on the Law of Gravitation, upon which the

whole fabric of modern astronomy may be said to stand.

Finding himself unequal to the task, Halley went down to Cambridge to

see Newton on the subject, and was delighted to learn that the great

mathematician had already completed the investigation. He showed

Halley that the motions of all the planets could be completely

accounted for on the hypothesis of a force of attraction directed

towards the sun, which varies inversely as the square of the distance

from that body.

Halley had the genius to perceive the tremendous importance of

Newton's researches, and he ceased not to urge upon the recluse man

of science the necessity for giving his new discoveries publication.

He paid another visit to Cambridge with the object of learning more

with regard to the mathematical methods which had already conducted

Newton to such sublime truths, and he again encouraged the latter

both to pursue his investigations, and to give some account of them

to the world. In December of the same year Halley had the

gratification of announcing to the Royal Society that Newton had

promised to send that body a paper containing his researches on

Gravitation.

It seems that at this epoch the finances of the Royal Society were at

a very low ebb. This impecuniosity was due to the fact that a book

by Willoughby, entitled "De Historia Piscium," had been recently

printed by the society at great expense. In fact, the coffers were

so low that they had some difficulty in paying the salaries of their

permanent officials. It appears that the public did not care about

the history of fishes, or at all events the volume did not meet with

the ready demand which was expected for it. Indeed, it has been

recorded that when Halley had undertaken to measure the length of a

degree of the earth's surface, at the request of the Royal Society,

it was ordered that his expenses be defrayed either in 50 pounds

sterling, or in fifty books of fishes. Thus it happened that on June

2nd, the Council, after due consideration of ways and means in

connection with the issue of the Principia, "ordered that Halley

should undertake the business of looking after the book and printing

it at his own charge," which he engaged to do.

It was, as we have elsewhere mentioned, characteristic of Newton that

he detested controversies, and he was, in fact, inclined to suppress

the third book of the "Principia" altogether rather than have any

conflict with Hooke with respect to the discoveries there

enunciated. He also thought of changing the name of the work to De

Motu Corporum Libri Duo, but upon second thoughts, he retained the

original title, remarking, as he wrote to Halley, "It will help the

sale of the book, which I ought not to diminish, now it is yours," a

sentence which shows conclusively, if further proof were necessary,

that Halley had assumed the responsibility of its publication.

Halley spared no pains in pushing forward the publication of his

illustrious friend's great work, so that in the same year he was in a

position to present a complete copy to King James II., with a proper

discourse of his own. Halley also wrote a set of Latin hexameters in

praise of Newton's genius, which he printed at the beginning of the

work. The last line of this specimen of Halley's poetic muse may be

thus rendered: "Nor mortals nearer may approach the gods."

The intimate friendship between the two greatest astronomers of the

time continued without interruption till the death of Newton. It

has, indeed, been alleged that some serious cause of estrangement

arose between them. There is, however, no satisfactory ground for

this statement; indeed, it may be regarded as effectually disposed of

by the fact that, in the year 1727, Halley took up the defence of his

friend, and wrote two learned papers in support of Newton's "System

of Chronology," which had been seriously attacked by a certain

ecclesiastic. It is quite evident to any one who has studied these

papers that Halley's friendship for Newton was as ardent as ever.

The generous zeal with which Halley adopted and defended the

doctrines of Newton with regard to the movements of the celestial

bodies was presently rewarded by a brilliant discovery, which has

more than any of his other researches rendered his name a familiar

one to astronomers. Newton, having explained the movement of the

planets, was naturally led to turn his attention to comets. He

perceived that their journeyings could be completely accounted for as

consequences of the attraction of the sun, and he laid down the

principles by which the orbit of a comet could be determined,

provided that observations of its positions were obtained at three

different dates. The importance of these principles was by no one

more quickly recognised than by Halley, who saw at once that it

provided the means of detecting something like order in the movements

of these strange wanderers. The doctrine of Gravitation seemed to

show that just as the planets revolved around the sun in ellipses, so

also must the comets. The orbit, however, in the case of the comet,

is so extremely elongated that the very small part of the elliptic

path within which the comet is both near enough and bright enough to

be seen from the earth, is indistinguishable from a parabola.

Applying these principles, Halley thought it would be instructive to

study the movements of certain bright comets, concerning which

reliable observations could be obtained. At the expense of much

labour, he laid down the paths pursued by twenty-four of these

bodies, which had appeared between the years 1337 and 1698. Amongst

them he noticed three, which followed tracks so closely resembling

each other, that he was led to conclude the so called three comets

could only have been three different appearances of the same body.

The first of these occurred in 1531, the second was seen by Kepler in

1607, and the third by Halley himself in 1682. These dates suggested

that the observed phenomena might be due to the successive returns of

one and the same comet after intervals of seventy-five or seventy-six

years. On the further examination of ancient records, Halley found

that a comet had been seen in the year 1456, a date, it will be

observed, seventy-five years before 1531. Another had been observed

seventy-six years earlier than 1456, viz., in 1380, and another

seventy-five years before that, in 1305.

As Halley thus found that a comet had been recorded on several

occasions at intervals of seventy-five or seventy-six years, he was

led to the conclusion that these several apparitions related to one

and the same object, which was an obedient vassal of the sun,

performing an eccentric journey round that luminary in a period of

seventy-five or seventy-six years. To realise the importance of this

discovery, it should be remembered that before Halley's time a comet,

if not regarded merely as a sign of divine displeasure, or as an omen

of intending disaster, had at least been regarded as a chance visitor

to the solar system, arriving no one knew whence, and going no one

knew whither.

A supreme test remained to be applied to Halley's theory. The

question arose as to the date at which this comet would be seen

again. We must observe that the question was complicated by the fact

that the body, in the course of its voyage around the sun, was

exposed to the incessant disturbing action produced by the attraction

of the several planets. The comet therefore, does not describe a

simple ellipse as it would do if the attraction of the sun were the

only force by which its movement were controlled. Each of the

planets solicits the comet to depart from its track, and though the

amount of these attractions may be insignificant in comparison with

the supreme controlling force of the sun, yet the departure from the

ellipse is quite sufficient to produce appreciable irregularities in

the comet's movement. At the time when Halley lived, no means

existed of calculating with precision the effect of the disturbance a

comet might experience from the action of the different planets.

Halley exhibited his usual astronomical sagacity in deciding that

Jupiter would retard the return of the comet to some extent. Had it

not been for this disturbance the comet would apparently have been

due in 1757 or early in 1758. But the attraction of the great planet

would cause delay, so that Halley assigned, for the date of its

re-appearance, either the end of 1758 or the beginning of 1759.

Halley knew that he could not himself live to witness the fulfilment

of his prediction, but he says: "If it should return, according to

our predictions, about the year 1758, impartial posterity will not

refuse to acknowledge that this was first discovered by an

Englishman." This was, indeed, a remarkable prediction of an event

to occur fifty-three years after it had been uttered. The way in

which it was fulfilled forms one of the most striking episodes in the

history of astronomy. The comet was first seen on Christmas Day,

1758, and passed through its nearest point to the sun on March 13th,

1759. Halley had then been lying in his grave for seventeen years,

yet the verification of his prophecy reflects a glory on his name

which will cause it to live for ever in the annals of astronomy. The

comet paid a subsequent visit in 1835, and its next appearance is due

about 1910.

Halley next entered upon a labour which, if less striking to the

imagination than his discoveries with regard to comets, is still of

inestimable value in astronomy. He undertook a series of

investigations with the object of improving our knowledge of the

movements of the planets. This task was practically finished in

1719, though the results of it were not published until after his

death in 1749. In the course of it he was led to investigate closely

the motion of Venus, and thus he came to recognise for the first time

the peculiar importance which attaches to the phenomenon of the

transit of this planet across the sun. Halley saw that the transit,

which was to take place in the year 1761, would afford a favourable

opportunity for determining the distance of the sun, and thus

learning the scale of the solar system. He predicted the

circumstances of the phenomenon with an astonishing degree of

accuracy, considering his means of information, and it is

unquestionably to the exertions of Halley in urging the importance of

the matter upon astronomers that we owe the unexampled degree of

interest taken in the event, and the energy which scientific men

exhibited in observing it. The illustrious astronomer had no hope of

being himself a witness of the event, for it could not happen till

many years after his death. This did not, however, diminish his

anxiety to impress upon those who would then be alive, the importance

of the occurrence, nor did it lead him to neglect anything which

might contribute to the success of the observations. As we now know,

Halley rather over-estimated the value of the transit of Venus, as a

means of determining the solar distance. The fact is that the

circumstances are such that the observation of the time of contact

between the edge of the planet and the edge of the sun cannot be made

with the accuracy which he had expected.

In 1691, Halley became a candidate for the Savilian Professorship of

Astronomy at Oxford. He was not, however, successful, for his

candidature was opposed by Flamsteed, the Astronomer Royal of the

time, and another was appointed. He received some consolation for

this particular disappointment by the fact that, in 1696, owing to

Newton's friendly influence, he was appointed deputy Controller of

the Mint at Chester, an office which he did not retain for long, as

it was abolished two years later. At last, in 1703, he received what

he had before vainly sought, and he was appointed to the Savilian

chair.

His observations of the eclipse of the sun, which occurred in 1715,

added greatly to Halley's reputation. This phenomenon excited

special attention, inasmuch as it was the first total eclipse of the

sun which had been visible in London since the year 1140. Halley

undertook the necessary calculations, and predicted the various

circumstances with a far higher degree of precision than the official

announcement. He himself observed the phenomenon from the Royal

Society's rooms, and he minutely describes the outer atmosphere of

the sun, now known as the corona; without, however, offering an

opinion as to whether it was a solar or a lunar appendage.

At last Halley was called to the dignified office which he of all men

was most competent to fill. On February 9th, 1720, he was appointed

Astronomer Royal in succession to Flamsteed. He found things at the

Royal Observatory in a most unsatisfactory state. Indeed, there were

no instruments, nor anything else that was movable; for such things,

being the property of Flamsteed, had been removed by his widow, and

though Halley attempted to purchase from that lady some of the

instruments which his predecessor had employed, the unhappy personal

differences which had existed between him and Flamsteed, and which,

as we have already seen, prevented his election as Savilian Professor

of Astronomy, proved a bar to the negotiation. Greenwich Observatory

wore a very different appearance in those days, from that which the

modern visitor, who is fortunate enough to gain admission, may now

behold. Not only did Halley find it bereft of instruments, we learn

besides that he had no assistants, and was obliged to transact the

whole business of the establishment single-handed.

In 1721, however, he obtained a grant of 500 pounds from the Board of

Ordnance, and accordingly a transit instrument was erected in the

same year. Some time afterwards he procured an eight-foot quadrant,

and with these instruments, at the age of sixty-four, he commenced a

series of observations on the moon. He intended, if his life was

spared, to continue his observations for a period of eighteen years,

this being, as astronomers know, a very important cycle in connection

with lunar movements. The special object of this vast undertaking

was to improve the theory of the moon's motion, so that it might

serve more accurately to determine longitudes at sea. This

self-imposed task Halley lived to carry to a successful termination,

and the tables deduced from his observations, and published after his

death, were adopted almost universally by astronomers, those of the

French nation being the only exception.

Throughout his life Halley had been singularly free from illness of

every kind, but in 1737 he had a stroke of paralysis. Notwithstanding

this, however, he worked diligently at his telescope till 1739, after

which his health began rapidly to give way. He died on January 14th,

1742, in the eighty-sixth year of his age, retaining his mental

faculties to the end. He was buried in the cemetery of the church of

Lee in Kent, in the same grave as his wife, who had died five years

previously. We are informed by Admiral Smyth that Pond, a later

Astronomer Royal, was afterwards laid in the same tomb.

Halley's disposition seems to have been generous and candid, and

wholly free from anything like jealousy or rancour. In person he was

rather above the middle height, and slight in build; his complexion

was fair, and he is said to have always spoken, as well as acted,

with uncommon sprightliness. In the eloge pronounced upon him at the

Paris Academie Des Sciences, of which Halley had been made a member

in 1719 it was said, "he possessed all the qualifications which were

necessary to please princes who were desirous of instruction, with a

great extent of knowledge and a constant presence of mind; his

answers were ready, and at the same time pertinent, judicious, polite

and sincere."

[PLATE: GREENWICH OBSERVATORY IN HALLEY'S TIME.]

Thus we find that Peter the Great was one of his most ardent

admirers. He consulted the astronomer on matters connected with

shipbuilding, and invited him to his own table. But Halley possessed

nobler qualifications than the capacity of pleasing Princes. He was

able to excite and to retain the love and admiration of his equals.

This was due to the warmth of his attachments, the unselfishness of

his devotion to his friends, and to a vein of gaiety and good-humour

which pervaded all his conversation.

BRADLEY.

James Bradley was descended from an ancient family in the county of

Durham. He was born in 1692 or 1693, at Sherbourne, in

Gloucestershire, and was educated in the Grammar School at

Northleach. From thence he proceeded in due course to Oxford, where

he was admitted a commoner at Balliol College, on March 15th, 1711.

Much of his time, while an undergraduate, was passed in Essex with

his maternal uncle, the Rev. James Pound, who was a well-known man of

science and a diligent observer of the stars. It was doubtless by

intercourse with his uncle that young Bradley became so expert in the

use of astronomical instruments, but the immortal discoveries he

subsequently made show him to have been a born astronomer.

The first exhibition of Bradley's practical skill seems to be

contained in two observations which he made in 1717 and 1718. They

have been published by Halley, whose acuteness had led him to

perceive the extraordinary scientific talents of the young

astronomer. Another illustration of the sagacity which Bradley

manifested, even at the very commencement of his astronomical career,

is contained in a remark of Halley's, who says: "Dr. Pound and his

nephew, Mr. Bradley, did, myself being present, in the last

opposition of the sun and Mars this way demonstrate the extreme

minuteness of the sun's parallax, and that it was not more than

twelve seconds nor less than nine seconds." To make the significance

of this plain, it should be observed that the determination of the

sun's parallax is equivalent to the determination of the distance

from the earth to the sun. At the time of which we are now writing,

this very important unit of celestial measurement was only very

imperfectly known, and the observations of Pound and Bradley may be

interpreted to mean that, from their observations, they had come to

the conclusion that the distance from the earth to the sun must be

more than 94 millions of miles, and less than 125 millions. We now,

of course, know that they were not exactly right, for the true

distance of the sun is about 93 millions of miles. We cannot,

however, but think that it was a very remarkable approach for the

veteran astronomer and his brilliant nephew to make towards the

determination of a magnitude which did not become accurately known

till fifty years later.

Among the earliest parts of astronomical work to which Bradley's

attention was directed, were the eclipses of Jupiter's satellites.

These phenomena are specially attractive inasmuch as they can be so

readily observed, and Bradley found it extremely interesting to

calculate the times at which the eclipses should take place, and then

to compare his observations with the predicted times. From the

success that he met with in this work, and from his other labours,

Bradley's reputation as an astronomer increased so greatly that on

November the 6th, 1718, he was elected a Fellow of the Royal Society.

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