The general result derived from this immense labor was that the stars

are fewest in regions the most distant from the galactic belt; while

from these regions, which correspond to the pole of the Galaxy, they

gradually increase in number in approaching the Milky-way. The star

density was found to be extremely variable, and while some of the

telescopic gaugings detected either no star at all, or only one or two,

other gaugings gave 500 stars and even more. The average number of stars

in a field of view of his telescope, obtained for the six zones, each of

15°, into which Herschel divided up the portion of his observing belt,

extending from the Galaxy to its pole, is as follows: In the first zone,

commencing at 90° from the galactic belt and extending towards it, 4

stars per telescopic field were found; 5 in the second; 8 in the third;

14 in the fourth; 24 in the fifth and 53 in the sixth, which terminated

in the Galaxy itself. Very nearly similar results were afterwards found

by Sir John Herschel, for corresponding regions in the southern

hemisphere.

From these studies, Herschel concluded that the stellar system is of the

general form supposed by the Kantian theory, and that its diameter must

be five times as extended in the direction of the galactic plane, as it

is in a direction perpendicular to it. To explain the great branch sent

out by the Galaxy in Cygnus, he supposed a great cleft dividing the

system edgewise, about half way from its circumference to its centre.

From suppositions founded on the apparent magnitude and arrangement of

stars, he estimated that it would take light about 7,000 years to reach

us from the extremities of the Galaxy, and therefore 14,000 years to

travel across the system, from one border to the opposite one.

But Herschel's theory concerning the Milky-way rested on the erroneous

assumption that the stars are uniformly distributed in space, and also

that his telescopes penetrated through the entire depth of the Galaxy.

Further study showed him that his telescope of twenty feet, and even his

great forty-foot telescope, which was estimated to penetrate to a

distance 2,300 times that of stars of the first magnitude, failed to

resolve some parts of the Galaxy into stars. Meanwhile, the structure of

the Milky-way being better known, the irregular condensation of its

stars became apparent, while the mutual relation existing between binary

and multiple systems of stars, as also between the stars which form

clusters, was recognized, as showing evidence of closer association

between certain groups of stars than between the stars in general.

Herschel's system, which rested on the assumption of the uniform

distribution of the stars in space, and on the supposition that the

telescopes used for his gauges penetrated through the greater depths of

the Galaxy, being thus found to contradict the facts, was gradually

abandoned by its author, who adopted another method of estimating the

relative distances of the stars observed in his gaugings.

This method, founded on photometric principles, consisted in judging the

penetrating power of his telescope by the brightness of the stars, and

not, as formerly, by the number which they brought into view. He then

studied by this new method the structure of the Milky-way and the

probable distance of the clustering masses of which it is formed,

concluding that the portion of the Galaxy traversing the constellation

Orion is the nearest to us. This last result seems indicated by the fact

that this portion of the Milky-way is the faintest and the most uniform

of all the galactic belt.

More recently Otto Struve investigated the same subject, and arrived at

very nearly similar conclusions, which may be briefly stated as follows:

The galactic system is composed of a countless number of stars,

spreading out on all sides along a very extended plane. These stars,

which are very unevenly distributed, show a decided tendency to cluster

together into individual groups of different sizes and forms, separated

by comparatively vacant spaces. This layer where the stars congregate in

such vast numbers may be conceived as a very irregular flat disk,

sending many branches in various directions, and having a diameter eight

or ten times its thickness. The size of this starry disk cannot be

determined, since it is unfathomable in some directions, even when

examined with the largest telescopes. The Sun, with its attending

planets, is involved in this immense congregation of suns, of which it

forms but a small particle, occupying a position at some distance from

the principal plane of the Galaxy. According to Struve, this distance is

approximately equal to 208,000 times the radius of the Earth's orbit.

The Milky-way is mainly composed of star-clusters, two-thirds, perhaps,

of the whole number visible in the heavens being involved in this great

belt. In conclusion, our Sun is only one of the individual stars which

constitute the galactic system, and each of these stars itself is a sun

similar to our Sun. These individual suns are not independent, but are

associated in groups varying in number from a few to several thousands,

the Galaxy itself being nothing but an immense aggregation of such

clusters, whose whole number of individual suns probably ranges between

thirty and fifty millions. In this vast system our globe is so

insignificant that it cannot even be regarded as one of its members.

According to Dr. Gould, there are reasons to believe that our Sun is a

member of a small, flattened, bifid cluster, composed of more than 400

stars, ranging between the first and seventh magnitude, its position in

this small system being eccentric, but not very far from the galactic

plane.

The study of the Milky-way, of which Plate XIII. is only a part, was

undertaken to answer a friendly appeal made by Mr. A. Marth, in the

Monthly Notices of the Royal Astronomical Society, in 1872. I take

pleasure in offering him my thanks for the suggestion, and for the

facility afforded me in this study by his "List of Co-ordinates of Stars

within and near the Milky-way," which was published with it.

THE STAR-CLUSTERS

PLATE XIV

It is a well-known fact that the stars visible to the naked eye are very

unequally distributed in the heavens, and that while they are loosely

scattered in some regions, in others they are comparatively numerous,

sometimes forming groups in which they appear quite close together.

In our northern sky are found a few such agglomerations of stars, which

are familiar objects to all observers of celestial objects. In the

constellation Coma Berenices, the stars are small, but quite condensed,

and form a loosely scattered, faint group. In Taurus, the Hyades and the

Pleiades, visible during our winter nights, are conspicuous and familiar

objects which cannot fail to be recognized. In the last group, six stars

may be easily detected by ordinary eyes on any clear night, but more can

sometimes be seen; on rare occasions, when the sky was especially

favorable, I have detected eleven clearly and suspected several others.

The six stars ordinarily visible, are in order of decreasing brightness,

as follows: Alcyone, Electra, Atlas, Maia, Taygeta and Merope. Glimpses

of Celano and Pleione are sometimes obtained.

When the sky is examined with some attention on any clear, moonless

night, small, hazy, luminous patches, having a cometary aspect, are

visible here and there to the naked eye. In the constellation Cancer is

found one of the most conspicuous, called Præsepe, which forms a small

triangle with the two stars _γ_ and _δ_. In Perseus, and involved in

the Milky-way, is found another luminous cloud, situated in the

sword-handle, and almost in a line with the two stars _γ_ and _δ_ of

Cassiopeia's Chair. In the constellation Hercules, another nebulous mass

of light, but fainter, is also visible between the stars _η_ and _ζ_

where it appears as a faint comet, in the depths of space. In Ophiuchus

and Monoceros are likewise found hazy, luminous patches. In the southern

sky, several such objects are also visible to the naked eye, being found

in Sagittarius, in Canis Major and in Puppis; but the most conspicuous

are those in Centaurus and Toucan. That in Centaurus involves the star

_ω_ in its pale diffused nebulosity, and that in Toucan is involved in

the lesser Magellanic cloud.

When the telescope is directed to these nebulous objects, their hazy,

ill-defined aspect disappears, and they are found to consist of

individual stars of different magnitudes, which being more or less

closely grouped together, apparently form a system of their own. These

groups, which are so well adapted to give us an insight into the

structure and the vastness of the stellar universe, are called

_Star-clusters_.

Star-clusters are found of all degrees of aggregation, and while in some

of them, such as in the Pleiades, in Præsepe and in Perseus, the stars

are so loosely scattered that an opera glass, and even the naked eye,

will resolve them; in others, such as in those situated in Hercules,

Aquarius, Toucan and Centaurus, they are so greatly compressed that even

in the largest telescopes they appear as a confused mass of blazing

dust, in which comparatively few individual stars can be distinctly

recognized. Although only about a dozen Star-clusters can be seen in the

sky with the naked eye, yet nearly eleven hundred such objects visible

through the telescope, have been catalogued by astronomers.

The stars composing the different clusters visible in the heavens vary

greatly in number, and while in some clusters there are only a few, in

others they are so numerous and crowded that it would be idle to try to

count them, their number amounting to several thousands. It has been

calculated by Herschel that some clusters are so closely condensed, that

in an area not more than ⅒ part of that covered by the Moon, at least

5,000 stars are agglomerated.

When the group in the Pleiades is seen through the telescope it appears

more important than it does to the naked eye, and several hundreds of

stars are found in it. In a study of Tempel's nebula, which is involved

in the Pleiades, I have mapped out 250 stars, mostly comprised within

this nebula, with the telescope of 6⅓ inches aperture, which I have

used for this study.

As a type of a loose, coarse cluster, that in Perseus is one of the

finest of its class. It appears to the naked eye as a single object, but

in the telescope it has two centres of condensation, around which

cluster a great number of bright stars, forming various curves and

festoons of great beauty. Among its components are found several yellow

and red stars, which give a most beautiful contrast of colors in this

gorgeous and sparkling region. In a study which I have made of this twin

cluster, I have mapped out 664 stars belonging to it, among which are

two yellow and five red stars.

While some clusters, like those just described, are very easily

resolvable into stars with the smallest instruments, others yield with

the greatest difficulty, even to the largest telescopes, in which their

starry nature is barely suspected. Owing to this peculiarity,

star-clusters are usually divided into two principal classes. In the

first class are comprised all the clusters which have been plainly

resolved into stars, and in the second all those which, although not

plainly resolvable with the largest instruments now at our disposal,

show a decided tendency to resolvability, and convey the impression that

an increase of power in telescopes is the only thing needed to resolve

them into stars. Of course this classification, which depends on the

power of telescopes to decide the nature of these objects, is arbitrary,

and a classification based on spectrum analysis is now substituted for

it.

The star-clusters are also divided into globular and irregular clusters,

according to their general form and appearance. The globular clusters,

which are the most numerous, are usually well-defined objects, more or

less circular in their general outlines. The rapid increase of

brightness towards their centres, where the stars composing them are

greatly condensed, readily conveys the impression that the general form

of these sparkling masses is globular. The irregular clusters are not so

rich in stars as the former. Usually their stars are less condensed

towards the centre, and are, for the most part, so loosely and

irregularly distributed, that it is impossible to recognize the outlines

of these clusters or to decide where they terminate. The globular

clusters are usually quite easily resolvable into stars, either partly

or wholly, although some among them do not show the least traces of

resolvability, even in the largest instruments. This may result from

different causes, and may be attributed either to the minuteness of

their components or to their great distance from the Earth, many

star-clusters being at such immense distances that they are beyond our

means of measurement.

As has been shown in the preceding section, the star-clusters are found

in great number in the Galaxy; indeed, it is in this region and in its

vicinity that the greater portion of them are found. In other regions,

with the exception of the Magellanic clouds, where they are found in

great number and in every stage of resolution, the clusters are few and

scattered.

[PLATE XIV.--STAR-CLUSTER IN HERCULES.

From a study made in June, 1877]

The star-cluster in the constellation Hercules, designated as No. 4,230

in Sir J. Herschel's catalogue, and which is represented on Plate XIV.,

is one of the brightest and most condensed in the northern hemisphere,

although it is not so extended as several others, its angular diameter

being only 7' or 8'. This object, which was discovered by Halley in

1714, is one of the most beautiful of its class in the heavens.

According to Herschel, it is composed of thousands of stars between the

tenth and fifteenth magnitudes. Undoubtedly the stars composing this

group are very numerous, although those which can be distinctly seen as

individual stars, and whose position can be determined, are not so many

as a superficial look at the object would lead us to suppose. From a

long study of this cluster, which I have made with instruments of

various apertures, I have not been able to identify more stars than are

represented on the plate, although the nebulosity of which this object

mainly consists, and especially the region situated towards its centre,

appeared at times granular and blazing with countless points of light,

too faint and too flickering to be individually recognized. Towards its

centre there is quite an extended region, whose luminous intensity is

very great, and which irresistibly conveys the impression of the

globular structure of this cluster. Besides several outlying appendages,

formed by its nebulosity, the larger stars recognized in this cluster

are scattered and distributed in such a way that they form various

branches, corresponding with those formed by the irresolvable

nebulosity. At least six or seven of these branches and wings are

recognized, some of which are curved and bent in various ways, thus

giving this object a distant resemblance to some crustacean forms.

Although I have looked for it with care, I have failed to recognize the

spiral structure attributed to this object by several observers. Among

the six appendages which I have recognized, some are slightly curved;

but their curves are sometimes in opposite directions, and two branches

of the upper portion make so short a bend that they resemble a claw

rather than a spiral wing. The spectrum of this cluster, like that of

many objects of its class, is continuous, with the red end deficient.

A little to the north-east of this object is found the cluster No.

4,294, which, although smaller and less bright than the preceding, is

still quite interesting. It appears as a distinctly globular cluster

without wings, and much condensed towards its centre. The stars

individually recognized in it, although less bright than those of the

other cluster, are so very curiously distributed in curved lines that

they give a peculiar appearance to this condensed region.

A little to the north of _γ_ Centauri may be found the great _ω_

Centauri cluster, No. 3,531, already referred to above. This magnificent

object, which appears as a blazing globe 20' in diameter, is, according

to Herschel, the richest in the sky, and is resolved into a countless

number of stars from the twelfth to the fifteenth magnitude, which are

greatly compressed towards the centre. The larger stars are so arranged

as to form a sort of net-work, with two dark spaces in the middle.

The great globular cluster No. 52, involved in the lesser Magellanic

cloud, in the constellation Toucan, is a beautiful and remarkable

object. It is composed of three distinct, concentric layers of stars,

varying in brightness and in degree of condensation in each layer. The

central mass, which is the largest and most brilliant, is composed of an

immense number of stars greatly compressed, whose reddish color gives to

this blazing circle a splendid appearance. Around the sparkling centre

is a broad circle, composed of less compressed stars, this circle being

itself involved in another circular layer, where the stars are fainter

and more scattered and gradually fade away.

Many other great globular clusters are found in various parts of the

heavens, among which may be mentioned the cluster No. 4,678, in

Aquarius. This object is composed of several thousand stars of the

fifteenth magnitude, greatly condensed towards the centre, and, as

remarked by Sir J. Herschel, since the brightness of this cluster does

not exceed that of a star of the sixth magnitude, it follows that in

this case several thousand stars of the fifteenth magnitude equal only a

star of the sixth magnitude. In the constellation Serpens the globular

clusters No. 4,083 and No. 4,118 are both conspicuous objects, also No.

4,687 in Capricornus. In Scutum Sobieskii the cluster No. 4,437 is one

of the most remarkable of this region. The stars composing it, which are

quite large and easily made out separately, form various figures, in

which the square predominates.

Among the loose irregular clusters, some are very remarkable for the

curious arrangement of their stars. In the constellation Gemini the

cluster No. 1,360, which is visible to the naked eye, is a magnificent

object seen through the telescope, in which its sparkling stars form

curves and festoons of great elegance. The cluster No. 1,467, of the

same constellation, is remarkable for its triangular form. In the

constellation Ara the cluster No. 4,233, composed of loosely scattered

stars, forming various lines and curves, is enclosed on three sides by

nearly straight single lines of stars. In Scorpio the cluster No. 4,224

is still more curious, being composed of a continuous ring of loosely

scattered stars, inside of which is a round, loose cluster, which is

divided into four parts by a dark cross-shaped gap, in which no stars

are visible.

Among the 1,034 objects which are now classified as clusters more or

less resolvable, 565 have been absolutely resolved into stars, and 469

have been only partly resolved, but are considered as belonging to this

class of objects. In Sir J. Herschel's catalogue there are 102 clusters

which are Considered as being globular; among them 30 have been

positively resolved into stars.

The agglomeration of thousands of stars into a globular cluster cannot

be conceived, of course, to be simply the result of chance. This

globular form seems clearly to indicate the existence of some bond of

union, some general attractive force acting between the different

members of these systems, which keeps them together, and condenses them

towards the centre. Herschel regards the loose, irregular clusters as

systems in a less advanced stage of condensation, but gradually

concentrating by their mutual attraction into the globular form.

Although the stars of some globular clusters appear very close together,

they are not necessarily so, and may be separated by great intervals of

space. It has been shown that the clusters are agglomeration of suns,

and that our Sun itself is a member of a cluster composed of several

hundreds of suns, although, from our point of observation, these do not

seem very close together. So far as known, the nearest star to us is a

Centauri, but its distance from the Earth equals 221,000 times the

distance of the Sun from our globe, a distance which cannot be traversed

by light in less than three years and five months. It seems very

probable that if the suns composing the globular clusters appear so near

together, it is because, in the first place, they are at immense

distances from us, and in the second, because they appear nearly in a

line with other suns, which are at a still greater distance from us, and

on which they accordingly are nearly projected. If one should imagine

himself placed at the centre of the cluster in Hercules, for instance,

the stars, which from our Earth seems to be so closely grouped, would

then quite likely appear very loosely scattered around him in the sky,

and would resemble the fixed stars as seen from our terrestrial station.

Judging by their loose and irregular distribution, the easily resolvable

clusters would appear, in general, to be the nearer to us. It is

probable that the globular clusters do not possess, to a very great

degree, the regular form which they ordinarily present to us. It seems

rather more natural to infer that they are irregular, and composed of

many wings and branches, such as are observed in the cluster in

Hercules; but as these appendages would necessarily be much poorer in

stars than the central portions, they would be likely to become

invisible at a great distance, and therefore the object would appear

more or less globular; the globular form being simply given by the close

grouping of the stars in the central portion. It would seem, then, that

in general, the most loosely scattered and irregular clusters are the

nearest to us, while the smallest globular clusters and those resolvable

with most difficulty are the most distant.

In accordance with the theory that the clusters are composed of stars,

the spectrum of these objects is in general continuous; although, in

many cases, the red end of the spectrum is either very faint or

altogether wanting. Many objects presenting in a very high degree the

principal characteristics exhibited by the true star-clusters, namely, a

circular or oval mass, whose luminous intensity is greatly condensed

toward the centre, have not yielded, however, to the resolving power of

the largest telescopes, although their continuous spectrum is in close

agreement with their general resemblance to the star-clusters. Although

such objects may remain irresolvable forever, yet it is highly probable

that they do not materially differ from the resolvable and partly

resolvable clusters, except by their enormous distance from us, which

probably reaches the extreme boundary of our visible universe.

THE NEBULÆ

PLATE XV

Besides the foggy, luminous patches which have just been described, a

few hazy spots of a different kind are also visible to the naked eye on

any clear, moonless night. These objects mainly differ from the former

in this particular, that when viewed through the largest telescopes in

existence they are not resolved into stars, but still retain the same

cloudy appearance which they present to the unassisted eye. On account

of the misty and vaporous appearance which they exhibit, these objects

have been called _Nebulæ_.

Of the 26 nebulous objects visible to the naked eye in the whole

heavens, 19 belong to the class of star-clusters, and 7 to the class of

nebulæ. Among the most conspicuous nebulæ visible to the unassisted

eye, are those in the constellations Argo Navis, Andromeda and Orion.

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