CHAPTER XL.

THE NATURE OF NEBULÆ.

The relations of white to green nebulæ are obscure. Unitive links

between the two classes have yet to be established. In most respects

they stand at present widely apart. They present a superficial likeness,

but their dissimilarities seem to be radical. They are unconnected by

any marked spectral affinities; they differ organically in structure;

their distribution on the sphere is regulated by opposite principles.

Hence their genealogical precedence remains unsettled. It would be rash

to say that either family developed from the other, or even that they

are collateral offshoots from a common stock. That a line of continuity

will, sooner or later, become traceable is more than likely, but we must

wait for the guidance of facts with regard to it; premature divinatory

efforts are usually good for less than nothing.

As to the constitution of white nebulæ, we seem on the verge of knowing

something definite. Premonitions of their being a species of

fine-grained star-cluster have become audible. The subject, however, is

not ripe for discussion. A comparatively advanced stage has, on the

other hand, been reached by the problems connected with gaseous nebulæ,

since their spectra let us, to a certain extent, into the secret of

their composition. This, on the whole, seems to be remarkably uniform.

Individual differences, it is true, both physical and chemical,

distinguish the various members of the class; but they are of a

subordinate kind. We may then safely attempt to generalise as regards a

few of their more obvious properties. Three of these can be at once

enumerated:—

(1) Gaseous nebulæ are almost perfectly transparent.[1171]

(2) They shine with extreme feebleness.

(3) Their mass is vanishingly small in proportion to their bulk.

We will take each point separately. That nebulæ offer no appreciable

obstacle to the transmission of light is attested by the unaltered

radiance of stars shining through them. No absorption that can possibly

be due to the cosmic fog in which they are plunged to depths of many

millions of miles, is traceable in the spectra of such objects as Θ

Orionis, of ρ Ophiuchi, of Maia or Merope in the Pleiades. Similarly,

the central stars of planetary nebulæ shine through an interposed

medium, the extent of which is measured by the radius of each gaseous

globe; and this, by a rough minimum estimate, can rarely be less, and

must often be a great deal more than 50,000 to 60,000 million miles. Yet

from the heart of these extraordinary formations the light of their

nuclei comes to us, so far as it is possible to judge, absolutely

intact. The impotence of comets for light-stoppage is thus vastly

enhanced in nebulæ.

The feebleness of their luminosity is a matter of direct observation. A

shining superficies, unlike a shining point, loses none of its lustre

with increased distance. Its area of course diminishes according to the

law of inverse squares, but every minute element of that area continues

to radiate with the same intensity as before. The sun, for instance, is

no less _bright_ as viewed from Neptune than when it crosses the

meridian of Khartoum, but it is 900 times _smaller_. So with the nebulæ.

They are really as faint as they appear. Using the best available data,

Mr. Ranyard arrived at the conclusion that a planetary of the most vivid

kind emits per square mile less than (1)/(22,000) millionth of the light

sent abroad by the solar photosphere. This implies—adopting the result

of Langley’s experiment at Pittsburg—that white-hot iron glows at least

4,000,000 times more powerfully than the bluish disc of the “Saturn” or

the “Owl” nebula. Moreover, the differences in areal lustre between one

nebula and another represent actual varieties of emissive strength.

Remoteness has nothing to do with producing them. A _debilissima_—a

“breath-stain” on the sky—may be as near to us as the great hiatus in

the vault through which Huygens half-imagined the blazing of empyrean

fires.

Finally, nebulæ being prodigiously voluminous and of apparently

insignificant mass, must be of exceedingly low mean density. This

fundamental fact was realised with uncompromising distinctness by Mr.

Ranyard in 1892.[1172] Taking, for illustrative purposes, the Orion

nebula to be a sphere 20′ in diameter, composed uniformly of materials

1,000,000 times rarer than atmospheric air at sea-level, he found that

its mass would be such as to impart, to a body at a distance from its

centre equal to that of α Centauri from ourselves, a circular velocity

of 180, or a parabolic velocity of 255 miles per second. In the

neighbourhood of the nebula, accordingly, there should be a marked

prevalence of large proper motions. A star, travelling across the line

of sight under the influence of its attraction at the rate of 100 miles

a second, would, it was shown, have an annual displacement on the sphere

of no less than 25·5″, and this independently of remoteness. For with

the same angular dimensions, the solid contents of the nebula would

increase as the cube of the distance assumed for it; while the seeming

velocities of bodies in gravitational dependence upon it would undergo

no change. This is rendered obvious by a moment’s consideration. For

take any given star circulating round its centre of gravity at the rate,

let us suppose, of 100 miles a second. And let us further suppose, to

begin with, that the distance of the system is such that light would

spend ten years on the journey thence to our eyes. Let us now double

that distance and follow out the consequences. First, the nebula is

eight times more massive than would have comported with the previous

arrangement. Next, the revolving star is twice as far from it as before,

since the apparent interval has not changed. Whence we easily gather, by

the application of Kepler’s third law, that it now moves with double its

previous speed. But its distance has, by hypothesis, also been doubled;

consequently, its proper, or apparent motion remains just what it was.

If, then, the stars about the Orion nebula were really in swift

circulation, they should appear to be conspicuously progressive. This,

however, is so far from being the case that the region is one of

exceptional fixedness. The spectroscopic information at command is to a

corresponding effect. The six brightest stars of the constellation,

measured at Potsdam in 1892, proved to be all affected, in varying

degrees, by the retreat of our system from that locality of the heavens,

but gave no signs of travelling rapidly on their own account. The

conclusion is inevitable that the Orion nebula—and it may be accepted as

typical—contains inestimably less matter than should be comprised by it

if its average density were that of a Crookes vacuum. Mr. Ranyard,

indeed, assigned to it a consistence not exceeding (1)/(10,000)

millionth that of air at standard pressure, which, he continued, “would

about correspond to the mean density of the solar nebulous mass,

supposing it to have been spherical when its radius was a little more

than 107 astronomical units, or when the sun occupied a sphere with a

radius of a little more than three and a half times the distance of

Neptune.” The potential solar system in those days lay muffled in the

haze of a small planetary nebula.

Yet it is impossible to conceive of nebulæ as formed simply of matter in

an aerial condition. They are no mere vague effusions. They possess

definite and characteristic structure. Lord Rosse,[1173] indeed, thought

sharpness of contours distinctive of the gaseous kind. Mr. Maunder[1174]

speaks of their “strange and complicate shapes, showing here and there

strongly-marked outlines”; and he adverts to the difficulty of

explaining this peculiarity in vast, uncontrolled extensions of rarefied

gas. The abolition of this incongruity was one of the strong points of

Sir Norman Lockyer’s “meteoritic hypothesis” of nebular constitution.

The spectroscope, it is true, pronounced against it; nebular chemistry

has very little in common with the chemistry of “uranoliths”; yet amid

much that was precarious or unsound, the valuable idea was introduced

that a proportion of solid matter must enter into the composition of

nebulæ. Its condition and distribution, however, remain unknown. It

would seem to be devoid of light, for the faint continuous spectrum

accompanying the nebular bright lines would be displayed even by a

homogeneous gaseous mass, unless its radiations were of purely

superficial origin.[1175] But here we meet the unresolved enigma of

nebular luminosity. How do they shine? Is it through the direct agency

of heat? Experimental evidence does not countenance this view. In the

laboratory, hydrogen and helium can be induced to give out their

characteristic rays only under the stress of electrical excitement. The

concomitant high temperature might—as Sir William Huggins pointed out in

1891[1176]—prevail only along the path of the discharge, while the

surrounding gases remained cool, producing inequalities in

heat-distribution similar to those believed to exist in vacuum tubes.

If, on the other hand, nebular emissions were of simply thermal

production, the whole radiating mass should be at nearly the same pitch

of incandescence; for if the temperature were lower in some than in

other of its parts, absorption lines or reversals would betray the fact,

and the nebular spectrum bears no legible marks of selective

light-stoppage. Yet it is eminently improbable that formations so

circumstanced are, in their entirety, excessively hot. Their solid

inclusions should, if they were, glow powerfully, and strong continuous

radiance would replace the dim band, grey through faintness, actually

seen. On the supposition, however, that electrical discharges cause the

glow of nebulæ, their average temperature, judging by Dr. Scheiner’s

experimental results, might approximate to absolute zero.

The word “temperature,” indeed, when applied to matter in the last stage

of attenuation, has an extremely dubious meaning. Taking the kinetic

theory of gases to represent the literal truth, we find the effects of

heating upon them to be twofold, namely, increase (1) of translatory,

(2) of internal energy, the latter being perhaps a consequence of the

former. Since, then, their constituent particles travel faster when heat

is applied, they come into mutual collision more frequently and more

violently. That is to say, if their number per unit volume remains the

same. Let, however, the density of the gas be reduced, other things

being unchanged, what will ensue? There will be fewer encounters in

equal times, but they will _not_ be less violent, since the mean rate of

the molecules has undergone no alteration. Hence, apart from one

qualifying circumstance, the same species of vibration should be set

going as when the gas was denser and equally hot. The qualifying

circumstance is this. During the lengthened intervals between the

collisions, the molecules are radiating—that is, imparting energy to the

ether. If their free paths were sufficiently protracted, they would—if

that be possible—lose all they possess, and need to be fully restocked

at each encounter. The comparative isolation of the molecules would

accordingly result in their being mostly dark, and what we must call

cold; so that the extreme subtlety of matter seems incompatible with a

high temperature in any intelligible sense of the term. But there is

more. Reduction of pressure would have for its immediate result a

general diminution of luminosity. In all probability, it would also

produce a selective effect, for if, as seems likely, certain modes of

molecular vibration are more persistent than others, they would, with

the progress of cooling after each impact, tend to predominate, and the

balance of intensity among the spectral lines of a glowing gas would

thus be sensibly altered. Here, then, an explanation might be sought of

the spectral anomalies of hydrogen in nebulæ. Nevertheless, it does not

run quite smoothly, since up to the limit of possible rarefaction in

vacuum tubes the crimson line of hydrogen gains consistently in

strength.[1177] A corresponding difficulty presents itself in connection

with the helium spectrum.[1178] “Green tubes” are at a higher degree of

exhaustion than “yellow.” Yet in nebulæ the green ray is invisible;

nebular helium radiates only D_{3} with a few members of the same “set.”

By means of artificial exhaustion, accordingly, the nebular spectrum

cannot apparently be imitated. The only experimental clue to its origin,

in fact, is in Professor J. J. Thomson’s observation (already mentioned)

that F and C are of interchangeable intensity at the negative and

positive poles of a hydrogen tube.

To recapitulate. Two fundamental problems regarding gaseous nebulæ press

for solution—one connected with their structural forms, the other with

the nature of their light. Do they continuously fill the spaces they

appear to occupy, or should we figure them to ourselves as collections

of discrete bodies comparatively wide apart? In the former case the dark

gaps and chasms which form one of their leading features should be

ascribed, not to the absence of matter, but to defect of shining power,

illuminative, not architectural contours being disclosed by them. In the

latter, chiaroscuro effects would be reliable indices to the

distribution of material.

Secondly, we are confronted with the mystery of their shining. Why and

how are they lucent? Are they bright as a consequence of thermal or

electrical stimulation, or is their radiance some undefined species of

luminescence or phosphorescence? The answer must be given in view of the

three following peculiarities of their spectra: (1) The leading hydrogen

line in them is F, not C. (2) Helium shines in them as if in a “yellow”

tube. (3) Reversals are absent; lines of absorption make no assured

appearance, either as superimposed upon, or as subjacent to lines of

emission. None of these points are easy to decide. Their consideration

involves doubts and queries of an abstruse nature; but it will not

therefore be neglected. Indeed, such a region of inquiry as is here

presented, where we feel that at every step the Unknown may merge into

the Unknowable, has a particular and an illimitable fascination.

Problems in astrophysics · 第 40 / 42 章