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Admiral Smyth’s — Sidereal Chromatics

PART II. (a.) (cont.)

DOUBLE STAR COLOURS CONTINUED

Chromatic difficulties.

Under our present practice [*36], various difficulties arc presented, for the designation of hues uttered in mere parlance by several persons often means the same tints in different words, and these will not always quadrate with the chromatic language of photologists. The wonder, however, is not so great that, without a due nomenclature, we should differ so much from each other, and even from ourselves at different dates, but rather that, with such an unorganized practice, so many instances should coincide relatively. In many cases the difference of colour in the components of a double star are real; but when they are merely complementary, the fainter of the two may possibly be a white star which appears to have the colour complementary to that of its more brilliant companion. This is in consequence of a well-understood law of vision, by which the retina of the eye being excited by light of a particular colour, is rendered insensible to less intense light of the same hue, — so that the complement of the real light of the fainter star finds the retina more sensible to it, than to the ray which is identical in colour with the brighter star; and the impression of the complementary tint accordingly prevails. But the accurate perception of the colour of a celestial body often depends as much on the condition of the eye when the object is seen, as upon the object itself; and possibly the achromatism of the object-glass, which, being adapted to the solar spectrum may not be suitable to the spectrum of a star, ought to be taken into account; as well as a nice adjustment of the eyepiece, to lead to a discrimination between real and illusive appearances. The powers of colours in contrasting with each other, agree with their correlative powers of light and shade; and such are to be distinguished from their powers individually on the eye, which are those of light alone. It may assist the memory of the inexperienced observer, to remind him that the primary colours and their complementaries are in these relations —

RED   GREEN
BLUE   ORANGE
YELLOW   VIOLET

and from these a scale may be readily drawn up of the [*37] subsidiary tints and their opposites (the male and female lights of Milton.) [6]) through all the twistings of Iris: and if he will bear in mind the laws of harmonious alliance and contrast of colour, that yellow is of all hues the nearest related to light, and its complementary violet or purple to darkness, that red is the most exciting and positive of all colours, and green the most grateful, that blue is the coldest of all hues, whilst orange is the warmest, much of the apparent mystery of harmonizing the multiplied tints of primary, secondary, and tertiary colours, will be readily accounted for.

Vibrations of light.

In the present incertitude, it is suggested that, variations in colour may be ; owing to variations in stellar velocity; but in this case would there not also be as palpable a variation in brightness? If it shall be found that the tints actually vary, the comparative magnitude should also be carefully noted, to establish whether a variability in brightness accompanies the changes of colour. Sesiti, however, does not view the matter in this light: he holds that the undulations of each colour arrive in succession to our eyes, and that therefore at last, when they have all reached us, the result will appear white. In arguing the circumstances necessary for the case — as the strength of vibrations with their number and velocity in a given time — he cites Huyghens, Euler, Young, Fresnel, and Arago. Quoting Herschels data, he observes, data, he observers, that five hundred and thirty-six billions of vibrations cause us to see yellow, while six hundred and twenty-five billions exceed the number that shews blue: that is, when the tangential celerity of the moving star in relation to its companion, comes at its maximum to equal one-thirteenth [*38] of that of light. Its green colour will change insensibly into yellow on increasing its distance, and then, receding through the same steps, it will again become green; beyond which, as it approaches the eye, it will become a gill blue; finally, in the inverse order, it will turn to green, and so on. But this explanation is not admissible, as may be readily shown: for instance, if we accelerate the velocity of the star to one-fifth of that of light, we shall have the number of vibrations corresponding to red = four hundred and eighty-one billions, and seven hundred and twenty-one billions, which exceeds that of violet. In this supposition, the green star when furthest from its companion will become red, and when approaching it must be of an intensely strong violet tinge; after which, owing to its circular orbit, it will in receding again become green, thus passing through all the colours of the spectrum. These are the ratios —

536: 625::1-1/13 : 1+1/13 :: 12:14 :: 6:7.
481:721 ::1-1/5 : 1+1/5 :: 4:6 :: 2:3.

Decision enjoined.

Admitting these and the like grounds, as the laws of new stars and binary systems may be somewhat elucidated thereby, I strongly recommend repeated examinations of the brightness and colours of stars to the well-equipped amateur, who is also happily possessed of a good eye, perseverance, and accurate notation. But even thus prepared, I would advise him, before entering upon the undertaking, to study well the third chapter of the great work of my highly-esteemed friend Sir John Herschel, on the Uranography of the Southern Hemisphere: it treats of Astrometry, or the numerical expression of the apparent magnitudes of the stars. In a more advanced state of this question the measurement of brightness should always accompany that of colours, since a change in the one might possibly produce variation in the other: and who can say that numerical measures may not be made with such extreme precision hereafter, that the distance of stars thereby may be given? The observer must not however be unnerved by the difficulties, some of them apparently insuperable [*39], which beset the inquiry: nor by the philosophers assertion that nothing short of a separate and independent estimation of the total amount of the red, the yellow, and the blue rays in the spectrum of each star would suffice for the resolution of the problem of astrometry, in the strictness of its numerical acceptation; and this the actual state of optical science leaves us destitute of the means even of attempting, with the slightest prospect of success. This might indeed be a damper to our argument, so that at least as stars differing in colour are concerned; but perseverance in a good cause has often been rewarded with marvellous accomplishments, — and it is well to remember that

By many blows that work is done,

Which cannot be achieved with one.

On stellar velocity.

These remarks will hardly be impinged upon in practice, by taking one objection to the facts upon which Sestini’;s theory is founded, namely, the velocity of the stars; since, in the present day-even admitting proper motions and translations in space to their fullest extent-it is not necessary to consider the possible rate of sidereal movements as capable of bearing any sensible ratio to the speed of light. In citing the case of the orbital velocity of the companion of a double star, he should have applied it to α Centauri, an object of which we know all the elements, its distance from us and from each other in miles, the mass of the components as compared to our Sun, their quantity of light as compared to the same, and the periodic time; — all these we know to a greater degree of confidence than those of any other similar body. Now the theory fails upon this test; for the mean orbital velocity of the companion may be assumed as 2.5 miles per second, while Sestinis limits of 1/13 and 1/5 of the velocity of light would make it fifteen thousand and thirty-eight thousand miles, in the same time. The velocity of light assumed here is, however, it must always be remembered, that of the Sun; that determined by direct observations of the solar orb itself, or by the eclipses or Jupiters satellites, whose reflections still give us solar light, [*40] and traversing the same medium, whatever it be, filling the planetary spaces. But we may reasonably expect, and, indeed, the experiments detailed above, on the spectra of different stars, appear to indicate, if not actually to prove, that the light of some of the stars is absolutely of a distinct nature, and radically of a different composition, to that of the Sun; while the media also which the rays have to pass through may be of a kind unknown in any part off the whole of our planetary circles, and of a nature the peculiarities of which we are at present profoundly ignorant of.

Evidently, therefore, when the speed of transmission of the stellar rays comes into play, we may have to deal with velocities very different to that on which our correction for aberration — which depends upon solar light-is rounded: the speed of transmission of which element, the velocity of electric light, and the speed of sidereal light, appear to depend upon, or be affected by, different causes. Granting that, however, and to the widest extent; extending even the somewhat doubtful experiments which have been made on the velocity of electric light, as compared with the solar, and on the transmission off ordinary light through air and through the denser medium of water; still there is nothing as yet to show, that we are likely to meet with any kind of light moving at so slow a rate, as to bear the proportion (which Sestini’s theory requires) to the actual speed at which any star has been found to move.

There is, however, another way in which the peculiar habitude of rays of light may produce a difference of colour in a star, and make it even run through the whole of the colours of the spectrum iota one end to the other and back again, in a greater or less space of time according to the particular circumstances of the case. This will occur if the different coloured rays of which the white beam is composed undergo intrinsically in themselves, or by reason of the nature of the medium which they traverse, any difference in the velocity of their transmission.

Emission and undulation.

According to the Newtonian doctrine of emission, the [*41] separate colours are actually produced by different degrees of velocity: and he concluded — from experiment— that the transparent parts of bodies, according to their several sizes, reflect rays of one colour and transmit those of another. But, according to the undulating theory, which has since been shown by Young and Fresnel to be far more probable than the other, if not really to be the true theory, the various tints are produced by means of undulations of different lengths; and the physicists have even been able to measure the comparative extent of these minute waves, or undulations, and have assigned them decimal proportions as follows:

Colour Parts of an Inch. [7]
Red0.00002582
Orange0.00002319
Yellow0.00002270
Green0.00002073
Blue0.00001912
Indigo0.00001690
Violet0.00001572

Now, though this by itself may say nothing with respect to the rapidity with which each undulation may be transmitted, it renders the probability of such a difference extremely great; and, though that difference be so very small that there is no hope of ever being able to make it manifest to any scientific apparatus of overt the most delicate description, yet, on account of the vast remoteness of the stars, the effect may become at length, very sensible. For, although the [*42] difference in the rate of propagation by the waves of each ray may be the smallest conceivable quantity, yet, if that different rate be kept up during the whole of the one thousand years that we suspect must be occupied by the light of some of the stars in reaching us, notwithstanding that it may travel on the average one hundred and ninety-two thousand miles in a second, it is manifest that, after continuing to grow during so great a length of time, a very decided effect, may at last be produced.

Assumed instance.

If a new star suddenly appears in any part of the sky, the rays of light immediately travel off to announce the fact everywhere, and to us amongst the number of other orbs; and it matters not whether the light consist in the emission of particles, or the propagation of waves of different orders, as many of Aragos couriers as there are different colours in the spectrum are sent off with the intelligence; and, if one is able to accomplish the great intervening distance between the star and us in a less space of time than the others, and so arrive before them, we shall see the star of that colour first, say violet. In that case the next to arrive would be the yellow, and then arriving and mixing with the blue, already come, would make the star change from pure blue to green; while the positive red, arriving last of all, and joining themselves to the existing green, would at length make the star appear white; and, if it preserved the same lust. re, it would ever after continue white.

Reminder.

But be it recollected that, in the ideas evoked by the discrepancies of colour-estimates, I am only throwing out suggestions, not advocating an hypothesis; still it must be admitted that variations of colour ought to accompany variations of brightness, though such variation of hue has not hitherto been detected in some stars that notably vary in splendour. With this confession, we will proceed in the vision thus conjured up, and return to the celestial body in white; only reminding the reader, that little is correctly understood of light in its causes [*43] and principles of existence, and that Bacon has told us — revtè scire est per causas scire. [8]

Argument resumed.

If the above-cited star be shown for only an instant of time as an electric spark, then we might see it varying through each of the different colours, blue, yellow, and red, separately and distinctly. Allowing that, for example, the blue ray was to traverse the space between the star and ourselves in three years, the yellow in three years and one week, and the red in three years and two weeks, and supposing the above to apply only to the central portion of each coloured ray, which should gradually vary with filaments of different velocities so as to join insensibly with those of the neighbouring one; then, three years after the striking of this stellar spark, we should see a blue star appear in the sky, and lash for one week; then the star would appear yellow during another week, and red during another; after which it would be lost altogether. Or if there be actual separations between the different colours, as is more than hinted at by the discovery of the black bands in the spectrum, then the star, after appearing of one colour, might even disappear for a time before the next colour began to arrive.
Again, if a star which has existed for ages be on a sudden extinguished, the rays last emitted will be the couriers to announce the fact; and, supposing the star to have been white, three years afterwards (in the above particular example), the last of the blue rays having arrived before the last of the others, the blue will be deficient in the star, and from white it will become orange; after a week all the yellow ones will have come in, and the star will be red; and, when the final rays of this colour have arrived, it will totally disappear. [*44]
But if the star shines permanently, and has so shone from time immemorial, then, whatever might be the difference of time elapsing between the blue and red rays shot from the star at the same instant reaching us, we should see the star white; for blue and yellow and red rays of different dates of emission would all be reaching our eyes together.

Practical exemplification.

This case can be exemplified by looking through a prism at a white surface of unlimited extent and equal brightness, when it will be seen as white as before; for the multitudinous spectra formed by all the component points of the whole surface overlaying each other, the red of one coming to the blue and yellow of others, will form white light as completely as if the three colours of one point be concentrated together again. Here was Goethes error: he gazed at a white wall through a prism, and, finding it white still, kicked at Newton&8217;s theory to produce an absurd one of his own. But had he looked at the edges of the wall — which is a similar case to the birth or death of a star — he would have seen the blue half of the spectrum on one side, and the, red on another: everything, in fact, with a sensible breadth will have coloured borders, blue on one side and red on the other. If one part of the wall, however, be brighter than another, the strong blue of that portion thrown on to the fainter red of another, will give flint a bluish tinge, and vice versa; and so with the stars; if their brightness should alter, or, in the common though singularly erroneous parlance, their magnitudes vary, the strong blue of a bright, epoch arriving with faint red of a dull period, will make blue appear to us as the predominating colour; will cause indeed the stars light to appear decidedly blue at one time, and, mutatis mutandis, red at another, although all the while the stars colour may not really have altered at all; but may have been really, and would have appeared to observers close by, as white as ever, varying only in quantity and not in quality. Real alterations in colour may doubtless occur, yet evidently may also often be only consequences of alterations in brightness, which may be brought about by many regular and periodical phenomena, and certainly [*45] do not require the introduction of any such startling reason, as the conflagration that was lugged in to explain the tints through which the variable star of 1572 passed, as it gradually died out. Of the sky, where it had so suddenly appeared a few months previously. Of this, at least, we may be certain, that there are periodical variations in the brightness of the stars, and that some alteration of colour should thereby be produced; but whether to a sensible extent or not, is only to be determined by experiment. β Persei has been selected by Arago as a measurable instance For testing this matter by observation, because it changes so very rapidly in brightness in a short space of time; but, though he did not succeed in detecting any alteration of colour we must not despair; for, while on the one hand his means of determining the colour seem to have had no sensible degree of exactness, it is easily possible to assume such a difference of velocities for the various coloured rays of the star, and such a distance for them to traverse, as should completely annihilate the expected good effect of the quickness and frequent recurrence of the changes in this particular star. Many other stars might indeed be picked out where the natural circumstances are more promising, while further steps towards the perfection of the means of observation, would allow of many more still being made subservient to the inquiry.

How to observe.

The failures made heretofore may therefore be regarded in the same light as those in the oldest inquiry of finding the parallax of the fixed stars, viz. not as reasons For leaving off, but for trying again more energetically, more extensively, and with more accurate means than before; and, although I may not be prepared just at present to describe any perfectly satisfactory method of observation, stilt, as some amateurs desirous of pursuing the subject may like to see such hints as lily experience has incidentally given rise to, presented in some rather more practical form, I have thrown them together as follows:
In any method of determining colours of stars, three possible sources of error have to be met: 1. The state of the [*46] atmosphere generally at the time in altering the colour of all the stars above the horizon; 2. The effect of altitude in varying on different stars the apparent colour produced by the atmosphere; and 3. The effect on the eye of the necessary quantity of some sort or other of artificial light, for the propose of writing down or examining the dimensions of the instrument, the face of the clocks, &c. &c.

First source.

The first can only be culminated by extensive observations of a number of stars, especially circumpolar ones, all throughout the year. Although the colours of some stars may vary in a small number of months, weeks, or even days, the mean of them all may be considered to be safely depended on for a tolerably constant quantity; and each star should be examined and tested for its colour every night, by comparison with the mean of all the rest; and where any decided variation appears to be going on through the year, that star should at once be excluded from the standard list, and its difference from the mean of the others stated as its colour for each nights observation.

Second source.

The second source of error is to be met by observations of the same star through a large part of its path from rising to culminating, or a number of stars of known colour at various altitudes, combined with a correction something similar to that for refraction, as varying in a proportion not far from the tangent of the zenith distance; and which would consequently require the altitude of every body observed to be carefully noted, as a decidedly necessary element introducing the observations.
Low stars, however, should be eschewed, and each observer should confine himself as far as possible to his zenith stars; for, in addition to the low ones being so much fainter to him, than to one to whom they are vertical, and in addition to the colouring and absorbing effect of the atmosphere increasing so excessively low down on the horizon, the envelope acts so strongly there as a prism, that, combined with the bad definition prevailing, I have sometimes seen a large star of a [*47] really white colour appear like a blue and red handkerchief fluttering in the wind: the blue and red about as intense and decided as they could well be. This shows the extreme importance of noting not only the altitude of the star, which determines also the degree of prismatic effect, but of distinguishing in the observation any difference between the upper and lower parts of the star. In the Sun and Moon, bodies of very sensible breadth, — this effect is not so evident; the surface will still be white or coloured uniformly by the atmosphere, and the upper and lower borders will alone show the prismatic colours, half on one edge and the other half on the other, as in the case off the white wall mentioned above; but the star under discussion, being merely a point of light, is wholly acted on, and exhibits as complete a spectrum as could be contrived without any of the white or self-compensating intermediate portion.
Combined with this is the colouring effect of the object-glass, and any deficiency in its achromaticity; though these, being nearly the same on all the stars, will not affect the difference observed: yet the latter quality of the eyepiece will be of more consequence, unless the star be brought very rigorously into the centre of the field off view, and kept there the whole time that it is under observation. A well achromatized eyepiece should be specifically used, and its assigned magnifying power always recorded.

Third source.

The third difficulty may be best counteracted by using one eye for the field of the telescope, and the other for writing down, &tc.; having the artificial lights used for these purposes as faint and making the, them as white as possible, with various other little practical details which will best occur to each observer.
We then come to the grand difficulty: viz. the manner in vehicle the colour is to be determined; the methods are two: first, by the senses; second, by instrumental means. The first is that which has been employed hitherto, and will doubtless still be the only method employed for a considerable time by amateurs; and, though so very vague, yet may — by the education and the practice of the senses, combined with the corrections [*48] above considered — be carried to considerable perfection: still the education must be much more systematic, and the practice much more constant, than they have hitherto been. Nor will the pursuit be altogether unfruitful, even if it only relieves science by thereby proving a negative; but to the zealous aspirant there is a hopeful guerdon, because much of the theory of the universe may be finally revealed by this elegant and difficult element.
Some certain standard of colours must be kept and constantly referred to: the colours of precious stones have been used for this purpose; but, though very properly in one point of view, as being by their brightness more comparable to stars than ordinary pigments, yet astronomers in general have not much acquaintance with anything so valuable and costly; and, if they had, would find that the colour of each star is not certainly to be defined by the jewel, i.e. that under the same name many different colours may be found; and different observers will therefore be giving the same name to stars not resembling each other; in addition to which there is not a sufficient range or colours amongst the precious stones to meet all the cases which occur in nature in the heavens, and they neither admit of being mixed, to form varieties of colour, nor of being modified, to show graduations in their own colour; a most important defect. These qualities, however, are possessed by the water colours of the present day; the greater part of them are very permanent, and the others, which are not so, are capable of being prepared fresh and fresh; the number of colours moreover is great, the combinations that may be formed of them almost endless; and graduations of each may be made, from nearly white to all but black. Not only must a scale of them be had in possession, and frequently referred to, but it must be made and remade by the observer, as a mode of impressing the colours on his memory; and, unless he can carry them in his mind, he need not attempt the chromatic observation of stars; for as he cannot see the star and his scale of colour at the same time and side by [*49] side, the estimate of the star depends entirely on the accidentals of memory. [9]

A word to the tyro.

Not to be too dogmatical, however, with the willing neophyte in his outset, we may observe, that, though the aptitude thus recommended may be troublesome to attain, it is approach aisle by opening trenches; and nature has kindly provided many individuals with the requisites for receiving delicate impressions by the senses. Now the source of colours is acknowledged to be light: each primary tone being surrounded by its harmonizing secondary, which is again bordered by its tertiary; and the perceptive faculty at ones distinguishing their several shades is an endowment of the most pleasing power, whether exerted in a passion for stars, flowers, and mundane finery — or in contributing to render the painters art impressive to the imagination, and delightful to the eye. While therefore a spectator is able to enjoy the sensitive perception of the varied gradations of hues and tints, he need not involve himself in the vexata questio as to colours being material or not — whether entities or individualities. That they are not yet really reducible to a single principle is no reason why they should not be used most comprehensibly, and every advance must be duly encouraged for the results that may ensue.

ENDNOTES

[6] The notion of male light being imparted hy the Sun, and female light by the Moon, is as old as the hills. Pliny, in his CYCLOPÆDIA (lib. ii. esp. 100 and 101,) mentions it as a condition, which we have been taught; and he details the influences of the masculine and feminine stars. here, probably, Milton imbibed the hint to which I alluded in the Cycle ( I. page . 301)—

Other suns, perhaps,
With their attendant moons, thou wilt descry,
Communicating male and female light.

[7] These lengths of an undulation lead to tile astounding inference, that, on viewing a red object, the membrane of the eye trembles at tho rate of 480,000,000,000,000 of times in every two beats of a seconds’ pendulum! The researches and discoveries of Huyghens, Young, Malus, Fresnel, Arago, Poisson, Airy, Wheatstone, and others, bare rendered the hypothesis of an undulatory propagation of light almost a demonstrated truth. It is a theory, says Herschel, which, if not founded in nature, is certainly one of the happiest fictions that the genius of man has yet invented to group together natural phenomena, as well as the most fortunate in the support it has received from all classes of new phenomena, which at their discovery seemed in irreconcilable opposition to it. It is, in fact, all its applications and details, one succession felicities; inasmuch that we may almost be induced to say, if it be not true, it deserves to be.

[8] In a letter of March 10th, 1860, the Master of Trinity, Dr. Whewell, says — If I was writing a review of your splendid volume (Spectulum Hartwellianum), I should of course try to find some fault in it by way of showing my acuteness : and I should say— At page 324, we read Bacon has told us — rectrè scire est percauses scire. We may remark that it was Aristotle who said this in Greek, and his followers in Latin. We may add that it is not a maxim which has done much good in science, for the first step is to learn the laws of the phenomena. The cause afterwards if we can: but, if we cannot, we have still learned something.

[9] Chromatography is not near perfection as the power of the eye and state of art would lead us suppose that Mr. Chevreul’s beautiful work on Colours, which has appeared since the above was printed, will yield a useful standard of tints for astrometry, as well as for manufacture, so as to afford an easy and ready reference.


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