Outlines of Astronomy

Sir John Frederick William Herschel, only child--and, as an

astronomer, almost the only rival--of Sir William Herschel, was

born at Slough, in Ireland, on March 7, 1792. At first privately

educated, in 1813 he graduated from St. John's College, Cambridge,

as senior wrangler and first Smith's prizeman. He chose the law as

his profession; but in 1816 reported that, under his father's

direction, he was going "to take up stargazing." He then began a

re-examination of his father's double stars. In 1825 he wrote that

he was going to take nebulæ under his especial charge. He embarked

in 1833 with his family for the Cape; and his work at Feldhausen,

six miles from Cape Town, marked the beginning of southern sidereal

astronomy. The result of his four years' work there was published

in 1847. From 1855 he devoted himself at Collingwood to the

collection and revival of his father's and his own labours. His

"Outlines of Astronomy," published in 1849, and founded on an

earlier "Treatise on Astronomy" of 1833, was an outstanding

success. Herschel's long and happy life, every day of which added

its share to his scientific services, came to an end on May 11,

1871.

_I.--The Wonders of the Milky Way_

There is no science which draws more largely than does astronomy on that

intellectual liberality which is ready to adopt whatever is demonstrated

or concede whatever is rendered highly probable, however new and

uncommon the points of view may be in which objects the most familiar

may thereby become placed. Almost all its conclusions stand in open and

striking contradiction with those of superficial and vulgar observation,

and with what appears to everyone the most positive evidence of his

senses.

There is hardly anything which sets in a stronger light the inherent

power of truth over the mind of man, when opposed by no motives of

interest or passion, than the perfect readiness with which all its

conclusions are assented to as soon as their evidence is clearly

apprehended, and the tenacious hold they acquire over our belief when

once admitted.

If the comparison of the apparent magnitude of the stars with their

number leads to no immediately obvious conclusion, it is otherwise when

we view them in connection with their local distribution over the

heavens. If indeed we confine ourselves to the three or four brightest

classes, we shall find them distributed with a considerable approach to

impartiality over the sphere; a marked preference, however, being

observable, especially in the southern hemisphere, to a zone or belt

passing through _epsilon_ Orionis and _alpha_ Crucis. But if we take in

the whole amount visible to the naked eye we shall perceive a great

increase of numbers as we approach the borders of the Milky Way. And

when we come to telescopic magnitudes we find them crowded beyond

imagination along the extent of that circle and of the branches which it

sends off from it; so that, in fact, its whole light is composed of

nothing but stars of every magnitude from such as are visible to the

naked eye down to the smallest points of light perceptible with the best

telescopes.

These phenomena agree with the supposition that the stars of our

firmament, instead of being scattered indifferently in all directions

through space, form a stratum of which the thickness is small in

comparison with its length and breadth; and in which the earth occupies

a place somewhere about the middle of its thickness and near the point

where it subdivides into two principal laminæ inclined at a small angle

to each other. For it is certain that to an eye so situated the apparent

density of the stars, supposing them pretty equally scattered through

the space they occupy, would be least in the direction of the visual ray

perpendicular to the lamina, and greatest in that of its breadth;

increasing rapidly in passing from one to the other direction, just as

we see a slight haze in the atmosphere thickening into a decided

fog-bank near the horizon by the rapid increase of the mere length of

the visual ray.

Such is the view of the construction of the starry firmament taken by

Sir William Herschel, whose powerful telescopes first effected a

complete analysis of this wonderful zone, and demonstrated the fact of

its entirely consisting of stars.

So crowded are they in some parts of it that by counting the stars in a

single field of his telescope he was led to conclude that 50,000 had

passed under his review in a zone two degrees in breadth during a single

hour's observation. The immense distances at which the remoter regions

must be situated will sufficiently account for the vast predominance of

small magnitudes which are observed in it.

The process of gauging the heavens was devised by Sir William Herschel

for this purpose. It consisted simply in counting the stars of all

magnitudes which occur in single fields of view, of fifteen minutes in

diameter, visible through a reflecting telescope of 18 inches aperture,

and 20 feet focal length, with a magnifying power of 180 degrees, the

points of observation being very numerous and taken indiscriminately in

every part of the surface of the sphere visible in our latitudes.

On a comparison of many hundred such "gauges," or local enumerations, it

appears that the density of starlight (or the number of stars existing

on an average of several such enumerations in any one immediate

neighbourhood) is least in the pole of the Galactic circle [_i.e._, the

great circle to which the course of the Milky Way most nearly conforms:

_gala_ = milk], and increases on all sides down to the Milky Way itself,

where it attains its maximum. The progressive rate of increase in

proceeding from the pole is at first slow, but becomes more and more

rapid as we approach the plane of that circle, according to a law from

which it appears that the mean density of the stars in the galactic

circle exceeds, in a ratio of very nearly 30 to 1, that in its pole, and

in a proportion of more than 4 to 1 that in a direction 15 degrees

inclined to its plane.

As we ascend from the galactic plane we perceive that the density

decreases with great rapidity. So far we can perceive no flaw in this

reasoning if only it be granted (1) that the level planes are continuous

and of equal density throughout; and (2) that an absolute and definite

limit is set to telescopic vision, beyond which, if stars exist, they

elude our sight, and are to us as if they existed not. It would appear

that, with an almost exactly similar law of apparent density in the two

hemispheres, the southern were somewhat richer in stars than the

northern, which may arise from our situation not being precisely in the

middle of its thickness, but somewhat nearer to its northern surface.

_II.--Penetrating Infinite Space_

When examined with powerful telescopes, the constitution of this

wonderful zone is found to be no less various than its aspect to the

naked eye is irregular. In some regions the stars of which it is

composed are scattered with remarkable uniformity over immense tracts,

while in others the irregularity of their distribution is quite as

striking, exhibiting a rapid succession of closely clustering rich

patches separated by comparatively poor intervals, and indeed in some

instances absolutely dark and _completely_ void of any star even of the

smallest telescopic magnitude. In some places not more than 40 or 50

stars on an average occur in a "gauge" field of 15 minutes, while in

others a similar average gives a result of 400 or 500.

Nor is less variety observable in the character of its different

regions in respect of the magnitude of the stars they exhibit, and the

proportional numbers of the larger and smaller magnitudes associated

together, than in respect of their aggregate numbers. In some, for

instance, extremely minute stars, though never altogether wanting, occur

in numbers so moderate as to lead us irresistibly to the conclusion that

in these regions we are _fairly through_ the starry stratum, since it is

impossible otherwise (supposing their light not intercepted) that the

numbers of the smaller magnitudes should not go on increasing _ad

infinitum_.

In such cases, moreover, the ground of the heavens, as seen between the

stars, is for the most part perfectly dark, which again would not be the

case if innumerable multitudes of stars, too minute to be individually

discernible, existed beyond. In other regions we are presented with the

phenomenon of an almost uniform degree of brightness of the individual

stars, accompanied with a very even distribution of them over the ground

of the heavens, both the larger and smaller magnitudes being strikingly

deficient. In such cases it is equally impossible not to perceive that

we are looking through a sheet of stars nearly of a size and of no great

thickness compared with the distance which separates them from us. Were

it otherwise we should be driven to suppose the more distant stars were

uniformly the larger, so as to compensate by their intrinsic brightness

for their greater distance, a supposition contrary to all probability.

In others again, and that not infrequently, we are presented with a

double phenomenon of the same kind--_viz._, a tissue, as it were, of

large stars spread over another of very small ones, the intermediate

magnitudes being wanting, and the conclusion here seems equally evident

that in such cases we look through two sidereal sheets separated by a

starless interval.

Throughout by far the larger portion of the extent of the Milky Way in

both hemispheres the general blackness of the ground of the heavens on

which its stars are projected, and the absence of that innumerable

multitude and excessive crowding of the smallest visible magnitudes, and

of glare produced by the aggregate light of multitudes too small to

affect the eye singly, which the contrary supposition would appear to

necessitate, must, we think, be considered unequivocal indications that

its dimensions, _in directions where those conditions obtain_, are not

only not infinite, but that the space-penetrating power of our

telescopes suffices fairly to pierce through and beyond it.

It is but right, however, to warn our readers that this conclusion has

been controverted, and that by an authority not lightly to be put aside,

on the ground of certain views taken by Olbers as to a defect of perfect

transparency in the celestial spaces, in virtue of which the light of

the more distant stars is enfeebled more than in proportion to their

distance. The extinction of light thus originating proceeding in

geometrical ratio, while the distance increases in arithmetical, a

limit, it is argued, is placed to the space-penetrating power of

telescopes far within that which distance alone, apart from such

obscuration, would assign.

It must suffice here to observe that the objection alluded to, if

applicable to any, is equally so to every part of the galaxy. We are not

at liberty to argue that at one part of its circumference our view is

limited by this sort of cosmical veil, which extinguishes the smaller

magnitudes, cuts off the nebulous light of distant masses, and closes

our view in impenetrable darkness; while at another we are compelled, by

the clearest evidence telescopes can afford, to believe that star-strewn

vistas _lie open_, exhausting their powers and stretching out beyond

their utmost reach, as is proved by that very phenomenon which the

existence of such a veil would render impossible--_viz._, infinite

increase of number and diminution of magnitude, terminating in complete

irresolvable nebulosity.

Such is, in effect, the spectacle afforded by a very large portion of

the Milky Way in that interesting region near its point of bifurcation

in Scorpio, where, through the hollows and deep recesses of its

complicated structure, we behold what has all the appearance of a wide

and indefinitely prolonged area strewed over with discontinuous masses

and clouds of stars, which the telescope at last refuses to analyse.

Whatever other conclusions we may draw, this must anyhow be regarded as

the direction of the greatest linear extension of the ground-plan of the

galaxy. And it would appear to follow also that in those regions where

that zone is clearly resolved into stars well separated and _seen

projected on a black ground_, and where, by consequence, it is certain,

if the foregoing views be correct, that we look out beyond them into

space, the smallest visible stars appear as such not by reason of

excessive distance, but of inferiority of size or brightness.

_III.--Variable, Temporary and Binary Stars_

Wherever we can trace the law of periodicity we are strongly impressed

with the idea of rotatory or orbitual motion. Among the stars are

several which, though in no way distinguishable from others by any

apparent change of place, nor by any difference of appearance in

telescopes, yet undergo a more or less regular periodical increase and

diminution of lustre, involving in one or two cases a complete

extinction and revival. These are called periodic stars. The longest

known, and one of the most remarkable, is the star _Omicron_ in the

constellation Cetus (sometimes called Mira Ceti), which was first

noticed as variable by Fabricius in 1596. It appears about twelve times

in eleven years, remains at its greatest brightness about a fortnight,

being then on some occasions equal to a large star of the second

magnitude, decreases during about three months, till it becomes

completely invisible to the naked eye, in which state it remains about

five months, and continues increasing during the remainder of its

period. Such is the general course of its phases. But the mean period

above assigned would appear to be subject to a cyclical fluctuation

embracing eighty-eight such periods, and having the effect of gradually

lengthening and shortening alternately those intervals to the extent of

twenty-five days one way and the other. The irregularities in the degree

of brightness attained at the maximum are also periodical.

Such irregularities prepare us for other phenomena of stellar variation

which have hitherto been reduced to no law of periodicity--the phenomena

of temporary stars which have appeared from time to time in different

parts of the heavens blazing forth with extraordinary lustre, and after

remaining awhile, apparently immovable, have died away and left no

trace. In the years 945, 1264, and 1572 brilliant stars appeared in the

region of the heavens between Cepheus and Cassiopeia; and we may suspect

them, with Goodricke, to be one and the same star with a period of 312,

or perhaps 156 years. The appearance of the star of 1572 was so sudden

that Tycho Brahe, a celebrated Dutch astronomer, returning one evening

from his laboratory to his dwellinghouse, was surprised to find a group

of country people gazing at a star which he was sure did not exist half

an hour before. This was the star in question. It was then as bright as

Sirius, and continued to increase till it surpassed Jupiter when

brightest, and was visible at midday. It began to diminish in December

of the same year, and in March 1574 had entirely disappeared.

In 1803 it was announced by Sir William Herschel that there exist

sidereal systems composed of two stars revolving about each other in

regular orbits, and constituting which may be called, to distinguish

them from double stars, which are only optically double, binary stars.

That which since then has been most assiduously watched, and has offered

phenomena of the greatest interest, is _gamma Virginis_. It is a star of

the vulgar third magnitude, and its component individuals are very

nearly equal, and, as it would seem, in some slight degree variable. It

has been known to consist of two stars since the beginning of the

eighteenth century, the distance being then between six and seven

seconds, so that any tolerably good telescope would resolve it. When

observed by Herschel in 1780 it was 5.66 seconds, and continued to

decrease gradually and regularly, till at length, in 1836, the two stars

had approached so closely as to appear perfectly round and single under

the highest magnifying power which could be applied to most excellent

instruments--the great refractor of Pulkowa alone, with a magnifying

power of a thousand, continuing to indicate, by the wedge-shaped form of

the disc of the star, its composite nature.

By estimating the ratio of its length to its breadth, and measuring the

former, M. Struve concludes that at this epoch the distance of the two

stars, centre from centre, might be stated at .22 seconds. From that

time the star again opened, and is now again a perfectly easily

separable star. This very remarkable diminution, and subsequent

increase, of distance has been accompanied by a corresponding and

equally remarkable increase and subsequent diminution of relative

angular motion. Thus in 1783 the apparent angular motion hardly amounted

to half a degree per annum; while in 1830 it had decreased to 5 degrees,

in 1834 to 20 degrees, in 1835 to 40 degrees, and about the middle of

1836 to upwards of 70 degrees per annum, or at the rate of a degree in

five days.

This is in entire conformity with the principles of dynamics, which

establish a necessary connection between the angular velocity and the

distance, as well in the apparent as in the real orbit of one body

revolving about another under the influence of mutual attraction; the

former varying inversely as the square of the latter, in both orbits,

whatever be the curve described and whatever the law of the attractive

force.

It is not with the revolutions of bodies of a planetary or cometary

nature round a solar centre that we are concerned; it is that of sun

round sun--each perhaps, at least in some binary systems, where the

individuals are very remote and their period of revolution very long,

accompanied by its train of planets and their satellites, closely

shrouded from our view by the splendour of their respective suns, and

crowded into a space bearing hardly a greater proportion to the enormous

interval which separates them than the distances of the satellites of

our planets from their primaries bear to their distances from the sun

itself.

A less distinctly characterised subordination would be incompatible with

the stability of their systems and with the planetary nature of their

orbits. Unless close under the protecting wing of their immediate

superior, the sweep of their other sun, in its perihelion passage round

their own, might carry them off or whirl them into orbits utterly

incompatible with conditions necessary for the existence of their

inhabitants.

_IV.--The Nebulæ_

It is to Sir William Herschel that we owe the most complete analysis of

the great variety of those objects which are generally classed as

nebulæ. The great power of his telescopes disclosed the existence of an

immense number of these objects before unknown, and showed them to be

distributed over the heavens not by any means uniformly, but with a

marked preference to a certain district extending over the northern pole

of the galactic circle. In this region, occupying about one-eighth of

the surface of the sphere, one-third of the entire nebulous contents of

the heavens are situated.

The resolvable nebulæ can, of course, only be considered as clusters

either too remote, or consisting of stars intrinsically too faint, to

affect us by their individual light, unless where two or three happen to

be close enough to make a joint impression and give the idea of a point

brighter than the rest. They are almost universally round or oval, their

loose appendages and irregularities of form being, as it were,

extinguished by the distance, and only the general figure of the

condensed parts being discernible. It is under the appearance of objects

of this character that all the greater globular clusters exhibit

themselves in telescopes of insufficient optical power to show them

well.

The first impression which Halley and other early discoverers of

nebulous objects received from their peculiar aspect was that of a

phosphorescent vapour (like the matter of a comet's tail), or a gaseous

and, so to speak, elementary form of luminous sidereal matter. Admitting

the existence of such a medium, Sir W. Herschel was led to speculate on

its gradual subsidence and condensation, by the effect of its own

gravity, into more or less regular spherical or spheroidal forms, denser

(as they must in that case be) towards the centre.

Assuming that in the progress of this subsidence local centres of

condensation subordinate to the general tendency would not be wanting,

he conceived that in this way solid nuclei might arise whose local

gravitation still further condensing, and so absorbing the nebulous

matter each in its immediate neighbourhood, might ultimately become

stars, and the whole nebula finally take on the state of a cluster of

stars.

Among the multitude of nebulæ revealed by his telescope every stage of

this process might be considered as displayed to our eyes, and in every

modification of form to which the general principle might be conceived

to apply. The more or less advanced state of a nebula towards its

segregation into discrete stars, and of these stars themselves towards a

denser state of aggregation round a central nucleus, would thus be in

some sort an indication of age.

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