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ABERRATION (Lat. ab, from or away, er...

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Originally appearing in Volume V01, Page 55 of the 1911 Encyclopedia Britannica.
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ABERRATION (See also:Lat. ab, from or away, errare,, to wander)  , a deviation or wandering, especially used in the figurative sense: as in See also:ethics, a deviation from the truth; in See also:pathology, a See also:mental derangement; in See also:zoology and See also:botany, abnormal development or structure . In See also:optics, the word has two See also:special applications: (I) See also:Aberration of See also:Light, and (2) Aberration in See also:Optical Systems . These subjects receive treatment below . I . ABERRATION OF LIGHT This astronomical phenomenon may be defined as an apparent See also:motion of the heavenly bodies; the stars describing annually orbits more or less elliptical, according to the See also:latitude of the See also:star; consequently at any moment the star appears to be displaced from its true position . This apparent motion is due to the finite velocity of light, and the progressive motion of the observer with the See also:earth, as it performs its yearly course about the See also:sun . It may be familiarized by the following illustrations . See also:Alexis See also:Claude Clairaut gave this figure: Imagine See also:rain to be falling vertically, and a See also:person carrying a thin perpendicular See also:tube to be See also:standing on the ground . If the See also:bearer be stationary, rain-drops will See also:traverse the tube without touching its sides; if, however, the person be walking, the tube must be inclined at an See also:angle varying as his velocity in See also:order that the rain may traverse the tube centrally . J . J . L. de See also:Lalande gave the See also:illustration of a'roofed See also:carriage with an open front: if the carriage be stationary, no rain enters; if, however, it be moving, rain enters at the front .

The " See also:

umbrella " See also:analogy is possibly the best known figure . When stationary, the most efficient position in which to hold an umbrella is obviously See also:vertical; when walking, the umbrella must be held more and more inclined from the vertical as the See also:walker quickens his See also:pace . Another See also:familiar figure, pointed out by P . L . M. de See also:Maupertuis, is that a sportsman, when aiming at a See also:bird on the wing, See also:sights his See also:gun some distance ahead of the bird, the distance being proportional to the velocity of the bird . The See also:mechanical See also:idea, named the parallelogram of velocities, permits a ready and easy graphical See also:representation of these facts . Reverting to the analogy of Clairaut, let AB (fig . I) represent the velocity of the rain, and AC the relative velocity of the person bearing the tube . The See also:diagonal AD of the parallelogram, of which AB and AC are adjacent sides, will represent, both in direction and magnitude, the motion of the rain as apparent to the observer . Hence for the rain to centrally traverse the tube, this must be inclined at an angle See also:BAD to the vertical; this angle is conveniently termed the aberration due to these two motions . The umbrella analogy is similarly explained; the most efficient position being when the stick points along the resultant AD . The See also:discovery of the aberration of light in 1725, due to See also:James See also:Bradley, is one of the most important in the whole domain ofastronomy .

That it was unexpected there can be no :doubt; and it was only by extraordinary perseverance and perspicuity that Bradley was able to explain it in 1727 . Its origin is seated in attempts shade to See also:

free from doubt the prevailing discordances as to whether the stars possessed appreciable parallaxes . The Copernican theory of the See also:solar See also:system—that the earth revolved annually about the sun—had received See also:confirmation by the observations of Galileo and Tycho See also:Brahe, and the mathematical' investigations of See also:Kepler and See also:Newton . As See also:early as 1573, See also:Thomas See also:Digges had suggested that this theory should necessitate a parallactic shifting of the stars, and, consequently, if such stellar parallaxes existed, then the Copernican theory would receive additional confirmation . Many observers claimed to have determined such parallaxes, but Tycho Brahe and G . B . Riccioli concluded that they existed only in the minds of the observers, and were due to instrumental and See also:personal errors . In 168o See also:Jean See also:Picard, in his Voyage d' Uranibourg, stated, as a result of ten years' observations, that Polaris, or the See also:Pole Star, exhibited See also:variations in its position amounting to 40" annually; some astronomers endeavoured to explain this by See also:parallax, but these attempts were futile, for the motion was at variance with that which parallax would occasion . J . See also:Flamsteed, from measurements made in 1689 and succeeding years with his mural quad-rant, similarly concluded that the See also:declination of the Pole Star was 40" less in See also:July than in See also:September . R . See also:Hooke, in 1674, published his observations of y Draconis, a star of the second magnitude which passes practically overhead in the latitude of See also:London, and whose observations are therefore singularly free from the complex corrections due to astronomical See also:refraction, and concluded that this star was 23" more northerly in July than in See also:October .

Phoenix-squares

When James Bradley and See also:

Samuel See also:Molyneux entered this See also:sphere of astronomical See also:research in 1725, there consequently prevailed much uncertainty as to whether stellar parallaxes had been observed or not; and it was with the intention of definitely answering this question that these astronomers erected a large See also:telescope at the See also:house of the latter at See also:Kew . They determined to reinvestigate the motion of y Draconis; the telescope, constructed by See also:George See also:Graham (1675-1751), a celebrated See also:instrument-maker, was affixed to a vertical See also:chimney stack, in such manner as to permit a small oscillation of the eyepiece, the amount of which, i.e. the deviation from the vertical, was regulated and measured by the introduction of a See also:screw and a plumb-See also:line . The instrument was set up in See also:November 1725, and observations on y Draconis were made on the 3rd, 5th, 11th, and 12th of See also:December . There was apparently no shifting of the star, which was therefore thought to be at its most southerly point . On the 17th of December, however, Bradley observed that the star was moving southwards, a motion further shown by observations on the loth . These results were unexpected, and, in fact, inexplicable by existing theories; and an examination of the telescope showed that the observed anomalies were not due to instrumental errors . The observations were continued, and the star was seen to continue its southerly course until See also:March, when it took up a position some co" more southerly than its December position . After March it began to pass See also:north-wards, a motion quite apparent by the See also:middle of See also:April; in See also:June it passed at the same distance from the See also:zenith as it did in December; and in September it passed through its most northerly position, the extreme range from north to See also:south, i.e. the angle between the March and September positions, being 40" . This motion is evidently not due to parallax, for, in this See also:case, the maximum range should be between the June and December positions; neither was it due to observational errors . Bradley and Molyneux discussed several hypotheses in the See also:hope of fixing the See also:solution . One See also:hypothesis was: while y Draconis was stationary, the plumb-line, from which the angular measurements were made, varied; this would follow if the See also:axis of the earth varied . The oscillation of the earth's axis may arise in two distinct ways; distinguished as " See also:nutation of the axis " and " variation of latitude .

" Nutation, the only See also:

form of oscillation imagined by Bradley, postulates that while' the earth's c A axis is fixed with respect to the earth, i.e. the north and south poles occupy permanent See also:geographical positions, yet the axis is not directed towards a fixed point in the heavens; variation of latitude, however, is associated with the shifting of the axis within the earth, i.e. the geographical position of the north pole varies . Nutation of the axis would determine a similar apparent motion for all stars: thus, all stars having the same polar distance as y Draconis should exhibit the same apparent motion after or before this star by a See also:constant See also:interval . Many stars satisfy the See also:condition of equality of polar distance with that of y Draconis, but few were See also:bright enough to be observed in Molyneux's telescope . One such star, however, with a right See also:ascension' nearly equal to that of y Draconis, but in the opposite sense, was selected and kept under observation . This star was seen to possess an apparent motion similar to that which would be a consequence of the nutation of the earth's axis; but since its declination varied only one See also:half as much as in the case of y Draconis, it was obvious that nutation did not See also:supply the requisite solution . The question as to whether the motion was due to an irregular See also:distribution of the earth's See also:atmosphere, thus involving abnormal variations in the refractive See also:index, was also investigated; here, again, negative results were obtained . Bradley had already perceived, in the case of the two stars previously scrutinized, that the apparent difference of declination from the ihaximum positions was nearly proportional to the sun's distance from the equinoctial points; and he realized the See also:necessity for more observations before any generalization could be attempted . For this purpose he repaired to the Rectory, See also:Wanstead, then the See also:residence of Mrs See also:Pound, the widow of his See also:uncle James Pound, with whom he had made many observations of the heavenly bodies . Here he had set up, on the rgth of See also:August 1727, a more convenient telescope than that at Kew, its range extending over 6',-° on each See also:side of the zenith, thus covering a far larger See also:area of the See also:sky . Two See also:hundred stars in the See also:British See also:Catalogue of Flamsteed traversed its See also:field of view; and, of these, about fifty were kept under See also:close observation . His conclusions may be thus summarized: (I) only stars near the solstitial See also:colure had their maximum north and south positions when the sun was near the equinoxes, (2) each star was'at its maximum positions when it passed the zenith at six o'See also:clock See also:morning and evening (this he afterwards showed to be inaccurate, and found the greatest See also:change in declination to be proportional to the latitude of the star), (3) the apparent motions of all stars at about the same See also:time was in the same direction . A re-examination of his previously considered hypotheses as to the cause of these phenomena was fruitless; the true theory was ultimately discovered by a pure See also:accident, comparable in simplicity and importance with the association of a falling See also:apple with the discovery of the principle of universal See also:gravitation .

Sailing on the See also:

river See also:Thames, Bradley repeatedly observed the shifting of a See also:vane on the See also:mast as the See also:boat altered its course; and, having been assured that the motion of the vane meant that the boat, and not the See also:wind, had altered its direction, he realized that the position taken up by the vane was determined by the motion of the boat and the direction of the wind . The application of this observation to the phenomenon which had so See also:long perplexed him was not difficult, and, in 1727, he published his theory of the aberration of light—a corner-See also:stone of the edifice of astronomical See also:science . Let S (fig . 2) be a star and the s observer be carried along the line AB; let SB be perpendicular to AB . If the observer be stationary at B, the star will appear in the direction BS; if, however, he traverses the distance BA in the same time as light passes from the star to his See also:eye, the star will appear in the direction AS . Since, however, the ob- server is not conscious of his own translatory motion a displacement which is at all times parallel to the motion of the observer . To generalize this, let S (fig .

End of Article: ABERRATION (Lat. ab, from or away, errare,, to wander)
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