It is well to notice how in this, as in many other instances, the very

circumstance which makes scientific research trustworthy caused the

unscientific to entertain doubt. If men of science were to arrange

beforehand with each other what observations they should publish, how

their accounts should be ended, what theories they would endeavour to

establish, their results would seem far more trustworthy, their theories

far more probable, than according to the method actually adopted.

Science, which should be exact, seems altogether inexact, because one

observer seems to obtain one result, another a different result.

Scientific theories seem unworthy of reliance because scientific men

entertain for a long time rival doctrines. But in another and a worthier

sense than as the words are used in the 'Critic,' when men of science do

agree their agreement is wonderful. It _is_ wonderful, worthy of all

admiration, because before it has been attained errors long entertained

have had to be honestly admitted; because the taunt of inconsistency is

not more pleasant to the student of science than to others, and the man

who having a long time held one doctrine adopts and enforces another

(one perhaps which he had long resisted), is sure to be accused by the

many of inconsistency, the truly scientific nature of his procedure

being only recognised by the few. The agreement of men of science ought

to be regarded also as most significant in another sense. So long as

there is room for refusing to admit an important theory advanced by a

student of science, it is natural that other students of science should

refuse to do so; for in admitting the new theory they are awarding the

palm to a rival. In strict principle, of course, this consideration

ought to have no influence whatever; as a matter of fact, however, men

of science, being always men and not necessarily strengthened by

scientific labours against the faults of humanity, the consideration has

and must always have influence. Therefore, when the fellow-writers and

rivals of Newton or of his followers gave in their adhesion to the

Newtonian theory; when in our own time--but let us leave our own time

alone, in this respect--when, speaking generally, a novel doctrine, or

some new generalisation, or some great and startling discovery, is

admitted by rival students of the branch of astronomy to which it

belongs, the probability is great that the weight of evidence has been

found altogether overwhelming.

Let us now, however, turn to cases in which, while many observations

seem to point to some result, it has appeared that, after all, those

observations must have been illusory.

A striking instance in point is found in the perplexing history of the

supposed satellite of Venus.

On January 25, 1672, the celebrated astronomer, J.D. Cassini saw a

crescent shaped and posited like Venus, but smaller, on the western side

of the planet. More than fourteen years later, he saw a crescent east of

the planet. The object continued visible in the latter case for half an

hour, when the approach of daylight obliterated the planet and this

phantom moon from view. The apparent distance of the moon from Venus was

in both cases small, viz., only one diameter of the planet in the former

case, and only three-fifths of that diameter in the latter.

Next, on October 23, 1740, old style, the optician Short, who had had

considerable experience in observation, saw a small star perfectly

defined but less luminous than Venus, at a distance from the planet

equal to about one-third of the apparent diameter of our moon. This is a

long distance, and would correspond to a distance from Venus certainly

not less than the moon's distance from the earth. Short was aware of the

risk of optical illusion in such matters, and therefore observed Venus

with a second telescope; he also used four eye-pieces of different

magnifying power. He says that Venus was very distinct, the air very

pure, insomuch that he was able to use a power of 240. The seeming moon

had a diameter less than a third of Venus's, and showed the same phase

as the planet. Its disc was exceedingly well defined. He observed it

several times during a period of about one hour.

Still more convincing, to all appearance, is the account of the

observations made by M. Montaigne, as presented to the Academy of

Sciences at Paris by M. Baudouin in 1761. The transit of Venus which was

to take place on June 6 in that year led to some inquiry as to the

satellite supposed to have been seen by Cassini and Short, for of course

a transit would be a favourable occasion for observing the satellite. M.

Montaigne, who had no faith in the existence of such an attendant, was

persuaded to look for it early in 1761. On May 3 he saw a little

crescent moon about twenty minutes of arc (nearly two-thirds the

apparent diameter of our moon) from the planet. He repeated his

observation several times that night, always seeing the small body, but

not quite certain, despite its crescent shape, whether it might not be a

small star. On the next evening, and again on May 7 and 10, he saw the

small companion apparently somewhat farther from Venus and in a

different position. He found that it could be seen when Venus was not in

the field of view. The following remarks were made respecting these

observations in a French work, 'Dictionnaire de Physique,' published in

1789:--'The year 1761 will be celebrated in astronomy in consequence of

the discovery that was made on May 3 of a satellite circulating round

Venus. We owe it to M. Montaigne, member of the Society of Limoges. M.

Baudouin read before the Academy of Sciences at Paris a very interesting

memoir, in which he gave a determination of the revolution and distance

of the satellite. From the calculations of this expert astronomer we

learn that the new star has a diameter about one-fourth that of Venus,

is distant from Venus almost as far as the moon from our earth, has a

period of nine days seven hours' [much too short, by the way, to be

true, expert though M. Baudouin is said to have been], 'and its

ascending node'--but we need not trouble ourselves about its ascending

node.

Three years later Roedkier, at Copenhagen, March 3 and 4, 1764, saw the

satellite of Venus with a refracting telescope 38 feet long, which

should have been effective if longitude has any virtue. He could not see

the satellite with another telescope which he tried. But several of his

friends saw it with the long telescope. Amongst others, Horrebow,

Professor of Astronomy, saw the satellite on March 10 and 11, after

taking several precautions to prevent optical illusion. A few days later

Montbaron, at Auxerre, who had heard nothing of these observations, saw

a satellite, and again on March 28 and 29 it appeared, always in a

different position.

It should be added that Scheuten asserted that during the transit of

1761 Venus was accompanied by a small satellite in her motion across the

sun's face.

So confidently did many believe in this satellite of Venus that

Frederick the Great, who for some reason imagined that he was entitled

to dispose as he pleased of the newly discovered body, proposed to

assign it away to the mathematician D'Alembert, who excused himself from

accepting the questionable honour in the following terms:--

'Your Majesty does me too much honour in wishing to baptize this new

planet with my name. I am neither great enough to become the satellite

of Venus in the heavens, nor well enough (_assez bien portant_) to be so

on the earth, and I am too well content with the small place I occupy in

this lower world to be ambitious of a place in the firmament.'

It is not at all easy to explain how this phantom satellite came to be

seen. Father Hell, of Vienna--the same astronomer whom Sir G. Airy

suspects of falling asleep during the progress of the transit of Venus

in 1769--made some experiments showing how a false image of the planet

might be seen beside the true one, the false image being smaller and

fainter, like the moons seen by Schort (as Hell called Short), Cassini,

and the rest. And more recently Sir David Brewster stated that Wargentin

'had in his possession a good achromatic telescope, which always showed

Venus with such a satellite.' But Hell admitted that the falsehood of

the unreal Venus was easily detected, and Brewster adds to his account

of Wargentin's phantom moon, that 'the deception was discovered by

turning the telescope about its axis.' As Admiral Smyth well remarks, to

endeavour to explain away in this manner the observations made by

Cassini and Short 'must be a mere pleasantry, for it is impossible such

accurate observers could have been deceived by so gross a neglect.'

Smyth, by the way, was a believer in the moon of Venus. 'The contested

satellite is perhaps extremely minute,' he says, 'while some parts of

its body may be less capable of reflecting light than others; and when

the splendour of its primary and our inconvenient station for watching

it are considered, it must be conceded that, however slight the hope may

be, search ought not to be relinquished.'

Setting aside Scheuten's asserted recognition of a dark body near Venus

during the transit of 1761, Venus has always appeared without any

attendant when in transit. As no one else claimed to have seen what

Scheuten saw in 1761, though the transit was observed by hundreds, of

whom many used far finer telescopes than he, we must consider that he

allowed his imagination to deceive him. During the transit of 1769, and

again on December 8-9, 1874, Venus certainly had no companion during her

transit.

What, then, was it that Cassini, Short, Montaigne, and the rest supposed

they saw? The idea has been thrown out by Mr. Webb that mirage caused

the illusion. But he appears to have overlooked the fact that though an

image of Venus formed by mirage would be fainter than the planet, it

would not be smaller. It might, according to the circumstances, be above

Venus or below, or even somewhat towards either side, and it might be

either a direct or an inverted image, but it could not possibly be a

diminished image.

Single observations like Cassini's or Short's might be explained as

subjective phenomena, but this explanation will not avail in the case of

the Copenhagen observations.

I reject, as every student of astronomy will reject, the idea of wilful

deception. Occasionally an observer may pretend to see what he has not

seen, though I believe this very seldom happens. But even if Cassini and

the rest had been notoriously untrustworthy persons instead of being

some of them distinguished for the care and accuracy with which their

observations were made and recorded, these occasional views of a phantom

satellite are by no means such observations as they would have invented.

No distinction was to be gained by observations which could not be

confirmed by astronomers possessing more powerful telescopes. Cassini,

for example, knew well that nothing but his well-earned reputation could

have saved him from suspicion or ridicule when he announced that he had

seen Venus attended by a satellite.

It seems to me probable that the false satellite was an optical illusion

brought about in a different way from those referred to by Hell and

Brewster, though among the various circumstances which in an imperfect

instrument might cause such a result I do not undertake to make a

selection. It is certain that Venus's satellite has vanished with the

improvement of telescopes, while it is equally certain that even with

the best modern instruments illusions occasionally appear which deceive

even the scientific elect. Three years have passed since I heard the

eminent observer Otto Struve, of Pulkowa, give an elaborate account of a

companion to the star Procyon, describing the apparent brightness,

distance, and motions of this companion body, for the edification of the

Astronomer-Royal and many other observers. I had visited but a few

months before the Observatory at Washington, where, with a much more

powerful telescope, that companion to Procyon had been systematically

but fruitlessly sought for, and I entertained a very strong opinion,

notwithstanding the circumstantial nature of Struve's account and his

confidence (shared in unquestioningly by the observers present), that he

had been in some way deceived. But I could not then see, nor has any one

yet explained, how this could be. The fact, however, that he had been

deceived is now undoubted. Subsequent research has shown that the

Pulkowa telescope, though a very fine instrument, possesses the

undesirable quality of making a companion orb for all first-class stars

in the position where O. Struve and his assistant Lindenau saw the

supposed companion of Procyon.

I may as well point out, however, that theories so wild have recently

been broached respecting Venus, that far more interesting explanations

of the enigma than this optical one may be looked for presently. It has

been gravely suggested by Mr. Jos. Brett, the artist, that Venus has a

surface of metallic brilliancy, with a vitreous atmosphere,--which can

only be understood to signify a glass case. This stupendous theory has

had its origin in an observation of considerable interest which

astronomers (it is perhaps hardly necessary to say) explain somewhat

differently. When Venus has made her entry in part upon the sun's face

at the beginning of transit, there is seen all round the portion of her

disc which still remains outside the sun an arc of light so brilliant

that it records its photographic trace during the instantaneous exposure

required in solar photography. It is mathematically demonstrable that

this arc of light is precisely what _should_ be seen if Venus has an

atmosphere like our earth's. But mathematical demonstration is not

sufficient (or perhaps we may say it is too much) for some minds.

Therefore, to simplify matters, Venus has been provided with a mirror

surface and a glass case. (See preceding essay, on Astronomical

Paradoxes, for further details.)

The enigma next to be considered is of a more doubtful character than

the myth relating to the satellite of Venus. Astronomers are pretty well

agreed that Venus has no moon, but many, including some deservedly

eminent, retain full belief in the story of the planet Vulcan.

More than seventeen years ago the astronomical world was startled by the

announcement that a new planet had been discovered, under circumstances

unlike any which had heretofore attended the discovery of fresh members

of the solar system. At that time astronomers had already become

accustomed to the discovery, year after year, of several asteroids,

which are in reality planets, though small ones. In fact, no less than

fifty-six of these bodies were then known, whereof fifty-one had been

discovered during the years 1847-1858 inclusive, not one of these years

having passed without the detection of an asteroid. But all these

planets belonged to one family, and as there was every reason to believe

that thousands more travel in the same region of the solar system, the

detection of a few more among the number had no longer any special

interest for astronomers. The discovery of the first known member of the

family had indeed been full of interest, and had worthily inaugurated

the present century, on the first day of which it was made. For it had

been effected in pursuance of a set scheme, and astronomers had almost

given up all hopes of success in that scheme when Piazzi announced his

detection of little Ceres. Again the discovery of the next few members

of the family had been interesting as revealing the existence of a new

order of bodies in the solar system. No one had suspected the

possibility that besides the large bodies which travel round the sun,

either singly or attended by subordinate families of moons, there might

be a ring of many planets. This was what the discovery of Ceres, Pallas,

Juno, and Vesta seemed to suggest, unless--still stranger thought--these

were but fragments of a mighty planet which had been shattered in

long-past ages by some tremendous explosion. Since then, however, this

startling theory has been (itself) exploded. Year after year new members

of the ring of multitudinous planets are discovered, and that, not as

was recently predicted, in numbers gradually decreasing, but so rapidly

that more have been discovered during the last ten years than during the

preceding twenty.

The discovery of the giant planet Uranus, an orb exceeding our earth

twelve and a half times in mass and seventy-four times in volume, was a

matter of much greater importance, so far as the dignity of the

planetary system was concerned, for it is known that the whole ring of

asteroids together does not equal one-tenth part of the earth in mass,

while Uranus exceeds many times in volume the entire family of

terrestrial planets--Mercury, Venus, the Earth, and Mars. The detection

of Uranus, unlike that of Ceres, was effected by accident. Sir W.

Herschel was looking for double stars of a particular kind in the

constellation Gemini when by good fortune the stranger was observed.

The interest with which astronomers received the announcement of the

discovery of Uranus, though great, was not to be compared with that with

which they deservedly welcomed the discovery of Neptune, a larger and

more massive planet, revolving at a distance one-half greater even than

the mighty space which separates Uranus from the sun, a space so great

that by comparison with it the range of 184,000,000 of miles, which

forms the diameter of our earth's orbit, seems quite insignificant. It

was not, however, the vastness of Neptune's mass or volume, or the awful

remoteness of the path along which he pursues his gloomy course, which

attracted the interest of astronomers, but the strangeness of the

circumstances under which the planet had been detected. His influence

had been felt for many years before astronomers thought of looking for

him, and even when the idea had occurred to one or two, it was

considered, and that, too, by an astronomer as deservedly eminent as Sir

G. Airy, too chimerical to be reasonably entertained. All the world now

knows how Leverrier, the greatest living master of physical astronomy,

and Adams, then scarce known outside Cambridge, both conceived the idea

of finding the planet, not by the simple method of looking for it with a

telescope, but by the mathematical analysis of the planet's disturbing

influence upon known members of the solar system. All know, too, that

these mathematicians succeeded in their calculations, and that the

planet was found in the very region and close to the very point

indicated first by Adams, and later, but independently, and (fortunately

for him more publicly) by Leverrier.

None of these instances of the discovery of members of the solar system

resembled in method or details the discovery announced early in the year

1859. It was not amid the star-depths and in the darkness of night that

the new planet was looked for, but in broad day, and on the face of the

sun himself. It was not on the outskirts of the solar system that the

planet was supposed to be travelling, but within the orbit of Mercury,

hitherto regarded as of all planets the nearest to the sun. It was not

hoped that any calculation of the perturbations of other planets would

show the place of the stranger, though certain changes in the orbit of

Mercury seemed clearly enough to indicate the stranger's existence.

Early in 1860 Leverrier had announced that the position of Mercury's

path was not precisely in agreement with calculations based on the

adopted estimates of the masses of those planets which chiefly disturb

the motions of Mercury. The part of the path where Mercury is nearest to

the sun, and where, therefore, he travels fastest, had slightly shifted

from its calculated place. This part of the path was expected to move,

but it had moved more than was expected; and of course Mercury having

his region of swiftest motion somewhat differently placed than was

anticipated, himself moved somewhat differently.

Leverrier found that to explain this feature of Mercury's motion either

the mass of Venus must be regarded as one-tenth greater than had been

supposed, or some unknown cause must be regarded as affecting the motion

of Mercury. A planet as large as Mercury, about midway between Mercury

and the sun, would account for the observed disturbance; but Leverrier

rejected the belief that such a planet exists, simply because he could

not 'believe that it would be invisible during total eclipses of the

sun.' 'All difficulties disappear,' he added, 'if we admit, in place of

a single planet, small bodies circulating between Mercury and the sun.'

Considering their existence as not at all improbable, he advised

astronomers to watch for them.

It was on January 2, 1860, that Leverrier thus wrote. On December 22,

1859, a letter had been addressed by a M. Lescarbault of Orgeres to

Leverrier, through M. Vallee, hon. inspector-general of roads and

bridges, announcing that on March 26, 1859, about four in the afternoon,

Lescarbault had seen a round black spot on the face of the sun, and had

watched it as it passed across like a planet in transit--not with the

slow motion of an ordinary sun-spot. The actual time during which the

round spot was visible was one hour, seventeen minutes, nine seconds,

the rate of motion being such that, had the spot crossed the middle of

the sun's disc, at the same rate, the transit would have lasted more

than four hours. The spot thus merely skirted the sun's disc, being at

no time more than about one forty-sixth part of the sun's apparent

diameter from the edge of the sun. Lescarbault expressed his conviction

that on a future day, a black spot, perfectly round and very small, will

be seen passing over the sun, and 'this point will very probably be the

planet whose path I observed on March 26, 1859.' 'I am persuaded,' he

added, 'that this body is the planet, or one of the planets, whose

existence in the vicinity of the sun M. Leverrier had made known a few

months ago' (referring to the preliminary announcement of results which

Leverrier published afterwards more definitely).

Leverrier, when the news of Lescarbault's observation first reached him,

was surprised that the observation should not have been announced

earlier. He did not consider the delay sufficiently justified by

Lescarbault's statement that he wished to see the spot again. He

therefore set out for Orgeres, accompanied by M. Vallee. 'The

predominant feeling in Leverrier's mind,' says Abbe Moigno, 'was the

wish to unmask an attempt to impose upon him, as the person more likely

than any other astronomer to listen to the allegation that his prophecy

had been fulfilled.'

'One should have seen M. Lescarbault,' says Moigno, 'so small, so

simple, so modest, and so timid, in order to understand the emotion with

which he was seized, when Leverrier, from his great height, and with

that blunt intonation which he can command, thus addressed him: "It is

then you, sir, who pretend to have observed the intra-mercurial planet,

and who have committed the grave offence of keeping your observation

secret for nine months. I warn you that I have come here with the

intention of doing justice to your pretensions, and of demonstrating

either that you have been dishonest or deceived. Tell me, then,

unequivocally, what you have seen."' This singular address did not bring

the interview, as one might have expected, to an abrupt end. The lamb,

as the Abbe calls the doctor, trembling, stammered out an account of

what he had seen. He explained how he had timed the passage of the black

spot. 'Where is your chronometer?' asked Leverrier. 'It is this watch,

the faithful companion of my professional journeys.' 'What! with that

old watch, showing only minutes, dare you talk of estimating seconds. My

suspicions are already too well confirmed.' 'Pardon me, I have a

pendulum which beats seconds.' 'Show it me.' The doctor brings down a

silk thread to which an ivory ball is attached. Fixing the upper end to

a nail, he draws the ball a little from the vertical, counts the number

of oscillations, and shows that his pendulum beats seconds; he explains

also how his profession, requiring him to feel pulses and count

pulsations, he has no difficulty in mentally keeping record of

successive seconds.

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