Whether with any combination specially directed to meet the

difficulties of this observation, the gaseous corona can be rendered

discernible, remains to be seen. I must confess my own hopes that the

problem will ever be successfully dealt with are very slight, though

not absolutely evanescent. It seems to me barely possible that the

problem might be successfully attacked in the following way. Using a

telescope of small size, for the larger the telescope the fainter is

the image (because of greater loss of light by absorption), let the

image of the sun be received in a small, perfectly darkened camera

attached to the eye-end of the telescope. Now if the image of the sun

were received on a smooth white surface we know that the prominences

and the corona would not be visible. And again, if the part of such

a surface on which the image of the sun itself fell were exactly

removed, we know (the experiment has been tried by Airy) that the

prominences would not be seen on the ring of white surface left after

such excision. Still less, then, would the much fainter image of the

corona be seen. But if this ring of white surface, illuminated in

reality by the sky, by the ring of prominences and sierra, and by

the corona, were examined through a battery of prisms (used without

a slit) adjusted to any one of the known prominence tints, the ring

of prominences and sierra would be seen in that special tint. If the

battery of prisms were sufficiently effective, and the tint were one of

the hydrogen tints--preferably, perhaps, the red--we might possibly be

able to trace the faint image of the corona in that tint. But we should

have a better chance with the green tint corresponding to the spectral

line 1474 Kirchhoff. If the ring of white surface were replaced by a

ring of green surface, the tint being as nearly that of 1474 Kirchhoff

as possible, the chance of seeing the coronal ring in that tint would

be somewhat increased; and, still further, perhaps, if the field of

view were examined through green glass of the same tint. It seems just

possible that if prisms of triple height were used, through which the

rays were carried three times, by an obvious modification of the usual

arrangement for altering the level of the rays, thus giving a power of

eighteen flint glass prisms of sixty degrees each, evidence, though

slight perhaps, might be obtained of the presence of the substance

which produces the green line. Thus variations in the condition of

the corona might be recognised, and any law affecting such variations

might be detected. I must confess, however, that a consideration of

the optical relations involved in the problem leads me to regard the

attempt to recognise any traces of the corona when the sun is not

eclipsed as almost hopeless.

It is clear that until some method for thus observing the corona has

been devised, future eclipse observations will acquire a new interest

from the light which they may throw on the coronal variations, and

their possible association in some way, not as yet detected, with the

sun-spot period. Even when a method has been devised for observing the

gaseous corona, the corona whose light comes either directly or by

reflection from solid or liquid matter will still remain undiscernible

save only during total eclipses of the sun. Many years must doubtless

pass, then, before the relation of the corona to the prominences and

the sun-spots shall be fully recognised. But there can be no question

that the solution of this problem will be well worth waiting for, even

though it should not lead up (as it most probably will) to the solution

of the mystery of the periodic changes which affect the surface of the

sun.

FOOTNOTES:

[Footnote 1: The actual condition of the sun in 1842 may be inferred

from the following table, showing the number of spots observed in 1837

the preceding year of maximum disturbance, in 1842, and in 1844 the

following year of minimum disturbance; the observer was Schwabe of

Dessau:

Days of Days without New groups

observation spots observed

1837 168 0 333

1842 307 64 68

1844 321 111 52

Only it should be noticed that nearly all the spots seen in the year

1844 belonged to the next period, the time of actual minimum occurring

early in 1844.]

[Footnote 2: The following table shows the position occupied by the

years 1851 and 1860 in this report, as compared with the year 1848

(maximum next preceding 1851), 1856 (minimum next following 1851) and

1867, minimum next following 1860:--

Days of Days without New groups

observation spots observed

1848 278 0 930

1851 308 0 141

1856 321 193 34

1860 332 0 211

1867 312 195 25

A comparison of the three tables given in these notes and the text will

afford some idea of the irregularities existing in the various waves of

sun-spots.]

_SUN-SPOTS AND COMMERCIAL PANICS._

We are not only, it would seem, to regard the sun as the ultimate

source of all forms of terrestrial energy, existent or potential, but

as regulating in a much more special manner the progress of mundane

events. Many years have passed since Sabine, Wolf, and Gauthier

asserted that variations in the daily oscillations of the magnetic

needle appear to synchronise with the changes taking place in the

sun's condition, the oscillations attaining their _maximum_ average

range in years when the sun shows most spots, and their _minimum_

range when there are fewest spots. And although it is well known that

the Astronomer Royal in England and the President of the Academy

of Sciences in France reject this doctrine, it still remains in

vogue. True, the average magnetic period appears to be about 10.45

years, while Wolf obtains for the sun-spot period 11.11 years; but

believers in the connection between terrestrial magnetic disturbances

and sun-spots consider that among the imperfect records of the past

condition of the sun Wolf must have lost sight of one particular wave

of sun-spots, so to speak. If there have been 24 such waves between

1611 and 1877, when sun-spots were fewest, we get Wolf's period

of 11.11 years; if there have been 25 such waves then, taking an

admissible estimate for the earliest epoch, we get 10.45 years, the

period required to synchronise with the period of terrestrial magnetic

changes. The matter must be regarded as still _sub judice_. This,

however, is only one relation out of many now suggested. Displays of

the aurora, being unquestionably dependent on the magnetic condition

of the earth, would of course be associated with the sun spot period,

if the magnetic period is so; and certainly the most remarkable

displays of the aurora in recent times have occurred when the sun has

shown many spots. Yet this of itself proves nothing more than had

been already known--namely, that the last few magnetic periods have

nearly synchronised with the last few sun-spot periods. It is rather

strange, too, that no auroras are mentioned in the English records

for 80 years preceding the aurora of 1716, and in the records of the

Paris Academy of Sciences one only--that of 1666, which occurred when

sun-spots were fewest. The great aurora of 1723, seen as far south

as Bologna, also occurred at the time of _minimum_ solar activity.

Here we are not depending on either Wolf's period of 11 years or

Brown's of 10-1/2 years; from records of actual observation it is

known that in 1666 and 1713 there were no sun-spots. In fact it is

worth mentioning that Cassini, writing in 1671, says, 'It is now about

20 years since astronomers have seen any considerable spots on the

sun,' a circumstance which throws grave doubt on the law of sun-spot

periodicity itself. It is at least certain that the interval from

_maximum_, spot-frequency to _maximum_, or from _minimum_ to _minimum_,

has sometimes fallen far short of 9 years, and has at others exceeded

18 years.

It appears again that certain meteorological phenomena show a tendency,

more or less marked, to run through a ten-year cycle. Thus, from the

records of rainfall kept at Oxford it appears that more rain fell under

west and south-west winds when sun-spots were largest and most numerous

than under south and south-east winds, these last being the more rainy

winds when sun-spots were least in size and fewest in number. This

is a somewhat recondite relation, and at least proves that earnest

search has been made for such cyclic relations as we are considering.

But this is not all. When other records were examined, the striking

circumstance was discovered that elsewhere, as at St. Petersburg, the

state of things observed at Oxford was precisely reversed. At some

intermediate point between Oxford and St. Petersburg, no doubt the

rainfall under the winds named was equally distributed throughout the

spot period. Moreover, as the conditions thus differ at different

places, we may assume that they differ also at different times. Such

relations appear then to be not only recondite, but complicated.

When we learn that during nearly two entire sun-spot periods cyclones

have been somewhat more numerous in the Indian Seas when spots are

most numerous than when the sun is without spots, and _vice versâ_,

we recognise the possible existence of cyclic relations better worth

knowing than those heretofore mentioned. The evidence is not absolutely

decisive; some, indeed, regard it as scarcely trustworthy. Yet there

does seem to have been an excess of cyclonic disturbance during the

last two periods of great solar disturbance, precisely as there was

also an excess of magnetic disturbance during those periods. The

excess was scarcely sufficient, however, to justify the rather daring

statement made by one observer, that 'the whole question of cyclones

is merely a question of solar activity.' We had records of some very

remarkable cyclonic disturbances during the years 1876 and 1877, when

the sun showed very few spots, the actual _minimum_ of disturbance

having probably been reached late in 1877. A prediction that 1877 would

be a year of few and slight storms would have proved disastrous if

implicit reliance had been placed on it by seamen and travellers.

Rainfall and atmospheric pressure in India have been found to vary

in a cyclic manner, of late years at any rate, the periods being

generally about 10 or 11 years. The activity of the sun, as shown by

the existence of many spots, apparently makes more rainfall at Madras,

Najpore, and some other places; while at Calcutta, Bombay, Mysore,

and elsewhere it produces a contrary effect. Yet these effects are

produced in a somewhat capricious way: for sometimes the year of actual

_maximum_ spot frequency is one in which rainfall is below the average

(instead of above) at the former stations, and above the average

(instead of below) at the latter. It is only by taking averages--and in

a somewhat artificial manner--that the relation seems to be indicated

on which stress has been laid.

Since Indian famines are directly dependent on defective rainfall, it

is natural that during the years over which observation has hitherto

extended the connection apparently existing between sun-spots and

Indian rainfall should seem also to extend itself to Indian famines. It

was equally to be expected that since cyclones have been rather more

numerous, for some time past, in years when sun-spots have been most

numerous, shipwrecks should also have been somewhat more frequent in

such years. Two years ago Mr. Jeula gave some evidence which, in his

opinion, indicated such a connection between sun-spots and shipwrecks.

He showed that in the four years of fewest spots the mean percentage

of losses was 8.64; in four intermediate years the mean percentage was

9.21; in three remaining years of the eleven-year cycle--that is, in

three years of greatest spot frequency the mean percentage was 9.53.

Some suggested that possibly such events as the American war, which

included two of the three years of greatest spot frequency, may have

had more effect than sun-spots in increasing the percentage of ships

lost; while perhaps, the depression following the commercial panic of

1866 (at a time of fewest sun-spots) may have been almost as effective

in reducing the percentage of losses as the diminished area of solar

maculation. But others consider that we ought rather to regard the

American war as yet another product of the sun's increased activity in

1860-61, and the great commercial panic of 1866 as directly resulting

from diminished sun-spots at that time, thus obtaining fresh evidence

of the sun's specific influence on terrestrial phenomena instead of

explaining away the evidence derived from Lloyd's list of losses.

This leads us to the last, and, in some respects, the most singular

suggestion respecting solar influence on mundane events--the idea,

namely, that commercial crises synchronise with the sun-spot period,

occurring near the time when spots are least in size and fewest in

number; or, as Professor Jevons (to whom the definite enunciation of

this theory is due) poetically presents the matter, that from 'the sun,

which is truly "of this great world both eye and soul," we derive our

strength and our weakness, our success and our failure, our elation in

commercial mania, and our despondency and ruin in commercial collapse.'

We have better opportunities of dealing with this theory than with the

others, for we have records of commercial matters extending as far back

as the beginning of the eighteenth century. In fact, we have better

evidence than Professor Jevons seems to have supposed, for whereas in

his discussion of the matter he considers only the probable average

of the sun-spot period, we know approximately the epochs themselves

at which the _maxima_ and _minima_ of sun spots have occurred since

the year 1700. The evidence as presented by Professor Jevons is very

striking, though when examined in detail it is rather disappointing.

He presents the whole series of decennial crises as follows:--1701?

(such query marks are his own), 1711, 1721, 1731-32, 1742 (?), 1752

(?), 1763, 1772-73, 1783, 1793, 1804-5 (?), 1815, 1825, 1836-9 (1837

in the United States), 1847, 1857, 1866 and 1878. The average interval

comes out 10.466 years, showing, as Jevons points out, 'almost perfect

coincidence with Brown's estimate of the average sun-spot period.' Let

us see, however, whether these dates correspond so closely with the

years of _minimum_ spot-frequency as to remove all doubt. Taking 5-1/4

years as the average interval between _maximum_ and _minimum_ sun-spot

frequency, we should like to find every crisis occurring within a year

or so on either side of the _minimum_ though we should prefer perhaps

to find the crisis always following the time of fewest sun-spots,

as this would more directly show the depressing effect of a spotless

sun. No crisis ought to occur within a year or so of _maximum_ solar

disturbance; for that, it should seem, would be fatal to the suggested

theory. Taking the commercial crises in order, and comparing them with

the known (or approximately known) epochs of _maximum_ and _minimum_

spot frequency, we obtain the following results (we italicize numbers

or results unfavourable to the theory):--The doubtful crisis of 1701

followed a spot _minimum_ by _three_ years; the crisis of 1711 preceded

a _minimum_ by one year; that of 1721 preceded a _minimum_ by two

years; 1731-32, preceded a _minimum_ by one year; 1742 preceded a

_minimum_ by _three_ years; 1752 followed a _maximum_ by _two_ years;

1763 followed a _maximum_ by _a year and a half_; 1772-73 came _midway_

between a _maximum_ and a _minimum_; 1783 preceded a _minimum_ by

nearly two years; 1793 came nearly midway between a _maximum_ and a

_minimum_; 1804-5 coincided with a _maximum_; 1815 preceded a _maximum_

by two years; 1825 followed a _minimum_ by _two_ years; 1836-39

_included_ the year 1837 of _maximum_ solar activity (that year being

the time also when a commercial crisis occurred in the United States);

1847 preceded a _maximum_ by a _year and a half_; 1866 preceded a

_minimum_ by a year; and 1878 followed a _minimum_ by a year. Four

favourable cases out of 17 can hardly be considered convincing. If we

include cases lying within two years of a _minimum_, the favourable

cases mount up to seven, leaving ten unfavourable ones. It must be

remembered, too, that a single decidedly unfavourable case (as 1804,

1815, 1837) does more to disprove such a theory than 20 favourable

cases would do towards establishing it. The American panic of 1873,

by the way, which occurred when spots were very numerous, decidedly

impairs the evidence derived from the crises of 1866 and 1878.

_NEW PLANETS NEAR THE SUN._

Perhaps no scientific achievement during the present century has been

deemed more marvellous than the discovery of the outermost member (so

far as is known) of the sun's family of planets. In many respects,

apart from the great difficulty of the mathematical problem involved,

the discovery appealed strongly to the imagination. A planet seventeen

hundred millions of miles from the sun had been discovered in March,

1781, by a mere accident, though the accident was not one likely to

occur to any one but an astronomer constantly studying the star-depths.

Engaged in such observation, but with no idea of enlarging the known

domain of the sun, Sir W. Herschel perceived the distant planet Uranus.

His experienced eye at once recognised the fact that the stranger

was not a fixed star. He judged it to be a comet. It was not until

several weeks had elapsed that the newly discovered body was proved

to be a planet, travelling nearly twice as far away from the sun as

Saturn, the remotest planet before known. A century only had elapsed

since the theory of gravitation had been established. Yet it was at

once perceived how greatly this theory had increased the power of the

astronomer to deal with planetary motions. Before a year had passed

more was known about the motions of Uranus than had been learned about

the motion of any of the old planets during the two thousand years

preceding the time of Copernicus. It was possible to calculate in

advance the position of the newly discovered planet, to calculate

retrogressively the path along which it had been travelling, unseen

and unsuspected, during the century preceding its discovery. And now

observations which many might have judged to be of little value, came

in most usefully. Astronomers since the discovery of the telescope had

formed catalogues of the places of many hundreds of stars invisible to

the naked eye. Search among the observations by which such catalogues

had been formed, revealed the fact that Uranus had been seen and

catalogued as a fixed star twenty-one several times! Flamsteed had seen

it five times, each time recording it as a star of the sixth magnitude,

so that five of Flamsteed's stars had to be cancelled from his lists.

Lemonnier had actually seen Uranus twelve times, and only escaped the

honour of discovering the planet (as such) through the most marvellous

carelessness, his astronomical papers being, as Arago said, 'a very

picture of chaos.' Bradley saw Uranus three times.[3] Mayer saw the

planet once only.

It was from the study of the movements of Uranus as thus seen, combined

with the planet's progress after its discovery, that mathematicians

first began to suspect the existence of some unknown disturbing body.

The observations preceding the discovery of the planet range over an

interval of ninety years and a few months, the earliest observation

used being one made by Flamsteed on December 23, 1690. There is

something very strange in the thought that science was able thus to

deal with the motions of a planet for nearly a century before the

planet was known. Astronomy calculated in the first place where the

planet had been during that time; and then, from records made by

departed observers, who had had no suspicion of the real nature of the

body they were observing, Astronomy corrected her calculations, and

deduced more rigorously the true nature of the new planet's motions.

But still stranger and more impressive is the thought that from

researches such as these, Astronomy should be able to infer the

existence of a planet a thousand million miles further away than Uranus

itself. How amazing it would have seemed to Flamsteed, for example, if

on that winter evening in 1693, when he first observed Uranus, he had

been told that the orb which he was entering in his lists as a star of

the sixth magnitude was not a star at all, and that the observation he

was then making would help astronomers a century and a half later to

discover an orb a hundred times larger than the earth, and travelling

thirty times farther away from the sun.

Even more surprising, however, than any of the incidents which preceded

the discovery of Neptune was this achievement itself. That a planet so

remote as to be quite invisible to the naked eye, never approaching

our own earth within less than twenty-six hundred millions of miles,

never even approaching Uranus within less than nine hundred and fifty

millions of miles, should be detected by means of those particular

perturbations (among many others) which it produced upon a planet not

yet known for three-quarters of a century, seemed indeed surprising.

Yet even this was not all. As if to turn a wonderful achievement into

a miracle of combined skill and good fortune, came the announcement

that, after all, the planet discovered in the spot to which Adams

and Leverrier pointed was not the planet of their calculations, but

travelled in an orbit four or five hundred millions of miles nearer to

the sun than the orbit which had been assigned to the unknown body.

Many were led to suppose that nothing but a most marvellous accident

had rewarded with such singular success the calculations of Adams

and Leverrier. Others were even more surprised to learn that the new

planet departed strangely from the law of distances which all the other

planets of the solar system seemed to obey. For according to that law

(called Bode's law) the distance of Neptune, instead of being about

thirty times, should have been thirty-nine times the earth's distance

from the sun.

In some respects the discovery of a planet nearer to the sun than

Mercury may seem to many far inferior in interest to the detection of

the remote giant Neptune. Between Mercury and the sun there intervenes

a mean distance of only thirty-six millions of miles, a distance

seeming quite insignificant beside those which have been dealt with

in describing the discovery of Uranus and Neptune. Again it is quite

certain that any planet between Mercury and the sun must be far

inferior to our own earth in size and mass, whereas Neptune exceeds

the earth 105 times in size and 17 times in mass. Thus a much smaller

region has to be searched over for a much smaller body. Moreover,

while mathematical calculation cannot deal nearly so exactly with an

intra-Mercurial planet as with Neptune, for there are no perturbations

of Mercury which give the slightest information as to the orbital

position of his disturber, the part of the heavens occupied by the

intra-Mercurial planet is known without calculation, seeing that the

planet must always lie within six or seven degrees or so of the sun,

and can never be very far from the ecliptic.

Yet in reality the detection of an intra-Mercurial planet is a problem

of far greater difficulty than that of such a planet as Neptune, while

even now when most astronomers consider that an intra-Mercurial planet

has been detected, the determination of its orbit is a problem which

seems to present almost insuperable difficulties.

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