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Laa diagrammas suivants illustrant la mtthodo. 1 2 3 1 2 3 4 5 6 MICtOCOfY RISOIUTION TBT CHAtT [ANSI and ISO TEST CHART No. 2) 1.0 ^^ i^ : 112 12.0 I.I II 1.8 &mi^ A APPLIED ItvMGE In. '6S) EasI Morn SlrcO ('16) 492 - OJOO- Phofie (716] JSa - ^989 -fo. pamphlet Casa No. >-«? ^ Rhprintki) Fkom TiiK Tkansactions Of l,VY HK TiiKoNTo Astronomical I J SociKTv For Thk Year ISKIl. NEXT APPARITION HALLEY'S COMET JOSEPH POPE, C.M.G., r B 1 r Etc. 900504 Ni;XT Al'I'AKITIOS HALLEY'S COMET JOSICPH I'DPIC, CM I i;ii. IIAFMIV'S Ojmkt. I-cyers „f astl,.,u„„i„,l sci.„«- wh„ are still i„ ,„i,|,n^. ,jf^ ..u,„o, ,a,l .„ have „„.u.,l .ha,, as regards the n.anifes „, I '""^ "■•""""' ''"^- "■» ><■."».. as c,„„ets. thev have Ce ^s^.av„., than ,l,e «e„eratio„ i„„„e.l,atelv ,.«■„.„« o„; .l^ " « at. hers „ the sk^■, a,„: with i„„,r.>ve,l ,„e.,„s „f oKsc-rvatio,, ." -ery l,a,„l. the ac.„al „,„„ber of k„ow„ ..m.ets has ll ;rt ™r'"" """"' '"^ "" '■"'' ™""^>— ' i"~ I refer, however, t„ those .pleu.li.l u|.i,aritio„s which, fro,,, llab..K„„„„Kof recorded hi.story. have ,«rio- twe.Uy '.!': Ilnlliv't l,mi,l. M since a rt-iilly xn-iit .■.iim-t (Intuoil in mir nkiis ()„r fiilliir^., |kt liu|»i I slmulilHiiv mir ^r.mM. li.r-i, win- n...rf IcntuiiaU' in tlitir ilay. Til ll'.-ni «:i> uivi-n to Ulmi,: llu' y.rvM innut i.r |s| I, nni' of till' niriM lirilliatil nf nii«liTii tini.'.. wliicli, cnnlniry to ilie rfpnlmiiinofiointtsiiijjiiural. v.:iH.iltin,'nilliyl»iuntirnlli;irvf»ts, iiliiinilunt vinl:i>;is. ami a ni-ni-ral plmty, imlndi .y,. il i> s „|. „„ umisual nnnihcr "f liviiis Imm lliat yrar. In IH.;.-, a^lrnni.nurs win- ulailili ni-il l>y tin riiipinaranci' cf the ininct kndwn a^ llalUy,, „l «l,iih ni.w liirtaltir. I'ik'llt yi-ars later l.riiin;lit tliu >;rrisiiiK that on tiie threshold of the twentieth century we should lieRin to realize the dearth of these' pheiumicna in our own times, and to eiKiuire how st,,iiul 1)1 |sl| liii«ii uriiKl i.f .iiimihiilit rii.it „f im:; Hill „„, ri.-\i,n our »kiv» ln-f:„M „t III.- J 111, ,..„t„r>. „n.l a cull- in„r ihm-. a» unai niu>t K„ ruiiii.l UC.ri- l)„„ali.. ,„„iit .„,m^ aKaiii »illil,> hailiiix dlHtancf „t the i-arth. Tliu> all „. ,ai. ivir I,,,,*. ,„ Li„„v of tlK-*' l,«iii., i, already rwnrik-,1 jfi „„r lihrarii.. of tlu-tii the fiiliirv lla^. iiaiiKliI iti store for u», l-ortunatvlv the orlnts of all the t-reat eoinel. are not traced on «uh ample lines One-thai a»M»i.iti-d with the illnstnous name of llalley— is kn.iwn to complete its elliptic c-onrse within the span allotted to hinnan life. II last visii,,| „„r scsu,,, i,, ,1,^. ^,„,r |s:i,-, ,„„| |,^ reapiicarance in llHO is .-.aifidently ked forward to. As llalleys is the solitary known example of a cons|,i,nous ccmiet with a fixisl uri.Kl „f less than a centurv, and as we all t-njoy a reasonahle ex|«vtation of UholdinK it with onr own eves It may not l>c ont of place todevote a few niinnles to a c-o.isidera- tioii of Its past history and approaching; visit. < tne sometimes meets with the rellection Ihat the development of astronomic-al seience has had the elTcrt of u.v.nfmK the hnman race-that in the liuhl of the knowlcsl^e whuh a jnst c-onception , of the nniverse- reveals, man shrinks to ahscdnte insimiineance and in his pniiy state is eomparal.le only to a niierosc-opic insivt erawlniK on the rind of an oranne. 1 confess that the impression which astronomy pr.«lnees o y mind is nither the reverse of this. It is of course' true that si-ie-nce aopiaints us with the fact that our v;lol,e is but one of a host of worlds, and that „ forliofi the dwellers thereon must, hotli in re.s|»ct of their physical size and the shortness of their duration, ,K-cupv hut an ntterlv iiisin- uihcant relation to the sum of tllhlKs. Hut hnillanitv, I take it, IS not to lie jjauned by pounds ,r:vi,di,fH:h. ■ The minds the measure of the man,' ami 1 snljiiiit that, jndned In inan's intellectual cajiacity , the disparity we are consideriiiK is hs no means so oyerwhclminK as some of onr lHK.-ts ami phil,».ophers are Kivcn to re|)resent. The niiaided intelliKeiice that has rea- soned out the plan of the iiniverse-that has measured and weighed the earth we live oii and the snii round which it moves Ilall.y, I, mi, I. ,-,;, -tliiit l.„> ■l.unni.K-.l tiK- ri-lmi>. ,„sii„m, „r Hk. v:,ri,.,„ „I.„ki, ■""I u.,l...k„l tl,.. „n.u.ri.., of ilKir >„,„|,l„ ,, ,i„„, -,|,„ n„w..,.. .„« ,1,. ,H„„„i, „f „,. „ ,,,,.,„ ,,,„ .^.^,,,,,1 ,„^. |.rol,„„„U>t ,kpll,« „l ,|...... ,„„1 pnKlai,,,. ' ilu- „.,.„r. .„>,1 .„„,. |««iti..ii ..1 th.,«- .lisi,,„t ,|,|„r., whid. r..ll i„ 11,,. rta)ni» ..f tl,. ■i.l.lut.- ,,,..„k, I., „,. rall„.r .,f ,|,.. «,.l c .,Hnl„„.., ,„■ ,|,, Kriut tr.„i„r il,„„ „)■ i),i. l„iinl.l.,i v,,„k,„i His l,.„,.l \„,1 '.-umll,,,,,, ,1,, :,„„ „,m,kTf„l ,„ „ , i,„,lkrt„al lri„,„,.l„ X afr,.r,U-,l ,„ „s hyhin, « , «iv,„ „i» „.,„,,., ,|,a, „„„, ..,„„„. ul all c,„i,i.t>. „, ,l„. ,„,, ,v„rui.cc nf ,v[,„l, «v an- alrca.lv lit-Kllinilli; In I,„k fiirH-aril. At the tit„i «l,i.„ N,.„t„„ „a, i,,«aKc.,l i„ ,Uvvl„pi„K hi» llK.Mx „f «rav,tatiu„ a hrillia„t nui.ct appiarul, whid,, l>,„„ it, M/c- a„t, S .l.lclv na,„i„K mt,. new, it ,n,v.r>..,l th. hvav.-ii, with aln,„>t ir,c„„« .vahll! rap-lity .is s,,,..- cxcx«li„K at ,„l A,>,,r„ad,„.K' >l.c- s„„ withi,, half Ilu. clistan., the „„»„, fr,„„ M,f larth ,t swi,„K r.„„„l that l,„„i„ar.v {„ iw.. „„„rs, a,„l throw- inn "fr a tra.n „f light .iu,ri- tha„ a h„„,lri,l ,„illi„„ ...ik-s j,, K-.,nth swt.pl „„twanl.s i„l„ spac- a„.l ha. iicv^.r >i„.„ l,,.,.,, s„.,. 1 his n,ysti.n„„s ,,,rai,Kir arristi.l thi' attii,iio„ of thv pri.i "I P "l<».>rh.rs hin,.sdf, whn s„„Kl,t t„ a>avtai„ whether it i, ■ m.«h. „<,t prove to he olK-,lie„t ,o the eo„trol]i„« pri„eiple whic . I he ha.1 lalel, t,„„„l , reK„late-l the solar sv ste,„. Its a,„a,i„u vdcK-ity, however. re,>nlish„,a„ -l-..ln,u,„l Ilalley-to eol„plete the applicatioi, of the law of iiinversal Krav,tatio„ to the eo,„etar> world which Newt.,,, had Ileum, I" Ills-', the year foll.,wil,K that which the co„let ..hservc-d hy .Newt..,, d,sapiieare.l, another canie int.. view, nflor.li,,.- Ilallev the .,p|«.rt,n,ity for which he had lwe„ waiti„K. llavi,ij; ..hserved Us ,>os,t,o„ a,„l co,„pare,l its orhit with great care, he re>„arke,l that ,1 showe.! a strifci„K resel,.hlai,ce t.. the comets of l,",.!! .„,d IMl., ,11 fact their ele„,el,ts were „earlv i,le.,tical. I.„rther iiivest.Kat,,,,, led hin, t.. extend his co,„pariso„ to the co„,ets wh,ch apiieared i„ U.M) and lliso. All the i„for,„atio,. he co„ld M Ifalkv'a L'omef. gather of these earher apparitions led him to suspect that they were but reappearances of one and the same comet. His inference did not rest merely in the correspondence of the intervals. •' Many things. " he tells us, led him to believe that the comet of l.'i:!l . observed by Apian, was the same as that described by Kepler in lliilT, and which he himself saw in HiH2. The comet of 14r,lt was not observed astronomically, but the chronicles of the period record its motion being retrograde. Now, it is a peculiarity of Halley's Comet that with. I think, one eNception, and that unknown to Halley, it is the only comet having an elliptical path and a period of less than a century, whose motion is from east to west. Struck by these coincidences he set about tracing the comet back to its fin t recorded appearance when it signalized the birth of Mithridates, KtO B.C., on which occasion it is said to have lieen visible twenty-fonr days and to have surpassed the sun in brightness ; its tail extended forty-five degrees and it occupied four hours in rising and setting. Halley noted its successive visits in the years :i2:!, :«lll, .V>(), !i;iO, KKM;, 10S2, 11.')."), 12:i0, l:!0.-), l:)S(l, i4.-,(i^ and so up to his own times which witnes.sed the twenty-fourth return from its first recoriled appear- ance. He found it moving in a plane but little inclined to the ecliptic and in an ellipse of a very great eccentricity approaching the sun within about ">.'),(Hin,(KKI miles and receding therefrom more than twice the distance of the planet Neptune. Becoming mce and more convinced of the identitj of the comet he was observing with those whose appearance I have mentioned, he set himself to work to compute its next return, and after long and laborious calculations announced that it would re-appear about the close of 17.').'< or the Ijcginning of 17.')ll. He was then a young Ulan and outlived his prediction, made in 17(1.'). nearly forty years. He could not. however, hojjc to see its realization and his words on this head are almost pathetic. ■■ Wherefore if it should retuin ;ircordins lo our prediction about the year 17!;8, iinjiarti;-! |jostcrity wit] not refuse to afknoivlcdfjc that this was first discovered by a i F.nglishman," A,s a matter of fact he had been dead seventeen years when his i>redietion was fulfilled. /fal/iv's Comet. As tlif time for the vfrificjitinii of this aniKuuicemt'iit drew , near, much interest prcvailL'ears. At length the laborious task was completed and the ainiouncement madt that the comet would be retarded .')]S days by the influence of Jupittr.. and 1(10 by Saturn— Clairaut fixing the date of its perihelion passage for the i;>th April, 17-V.), with a margin of thirty days for jHJssible error. These results were comnnniicated ti> the Academy of Sciences on the 14th November. 17')N. and on the "'"ill ! iiplumbm ^^'* • y. following the comet was seen b\- one (leorge Palitsh. a Saxon peasant in the environs of Dresden. It arrived at perihelion on the Kith March, IT')!*, just thirty days earlier than the date of Clairaut's prediction, but within the limits of error which he had assigned. This certainly was a wonderful intellectual feat, and of a nature to make us jin ud of our race. The intervals between the comet's previous re-appearance had not been luiifonn. Con- siderable discrepancies existed. This \-isit was '(-^(i days longer than the previous revolution, which makes the triumph of the astronomer all the greater. In a burst of enthusiasm I.alande exclaims : " What arc tliirly-two (i.iy / one two-lmndredth part - iin iiitcrviil of more than i i'hirh obscrvatif^ns were ) yens, durin^j [ule. the comet nX /Mln's Lomii. Iwinu-mit "( sii'lil "11 'lit- ■•■-t"' Ilie '""<■' ^^'i-i' ■"' lliiitytivci ihy« (.ir ^ill the mlirr .itlriic li.ins (,f llie -. I;ir .y~i™i wliidi h.nr ii.it lic.n inrhidril ; fnr iill the r.iiiifti.. iIk- ^iliLitinii .iiul iii;i-ms r.f wliidi iirc unkintwn Ki us ; foi thf it?>ist..ii(e tA Ili« rtlif:e:il inedilliii. wliirh we .ire unable even to eMiiiiate, mix) 1.11 .ill til. se .|ii:ililies ulii. Ii "( lHles^ily li.i\e heen neulerteil in the .i|iprii\iniati.ins if the ciileiiliitieii .' ... A ililTeremc of 586 (lavs lictw.en the revolutions of the siiiiie comet, a ihffeieme |irochued tiy the distuiliint; artion of Juiiiler and Satuin, affords a liii.ie strikiiif; (U-iiion- strati.in ..f the jtreat jirini iple of attrntion than we rould have daied to hi.( e for. ami |j|ai es liiis la« aiii.ii(;-t the iiuiiii>er of the fundamental tiuths iif I'hysirs. the realitv of vviiiih it is nii rule [.Cssihle to d.inbt than the existenee of the hollies wliii h |irodliee it." I.al.iiKle's Kratificiitioii is all the more legitimate when it is colisitleretl that at the lime when these iiredictiiiiis were made, the existence nf neither Uranns nor Neptune was known. Yet the comet's jiath cuts the orliits of hoth these jilanets ami conse- quently is more or less jierttirbed by them. Ill the interval between IT-'i'.l ami l^o-'i, the rtate of the next appearance of Ilalley's comet, Rreat strides had been made in the science of astronomy. The planet rranns had been discovered, the mas.ses of the larjter planets were more accurately ascertained, and the methods for computinj; perturbations largely improved. TakiiiK the perihelion passage of IT-V.I as the ]xiiiit of departure, and followiuK iu the steps of Clairault, two French savants, Messrs. Damoiseau and I'ontecoulaut. indeiielldetltly undertook the necessary calculations anew. Their results agreed within a few days. Mr. Damoiseau fixint; the date of the comet's jierihelion passage for the 4th November, l-S:!."!. and Mr. Poutecoulanl ten days later. Two other astronomers. Messrs. I.ehuiaun and KosenberRer, respectively, fixed the dates at November llth and •itlth. On this occasion not only was the perihelion passage computed, but the exact path of the comet anions the stars mapped out, and the precise point indicated at which it would first be seen. The last of these piedictions was published 011 the l-'.'ith July. lf*:!.">. On the eveniuK of the -"ith August Mr. Duiiiotichel. of the Observatory at Komc. directed his telescojic to the prescribed simH, and there, within a degree of the place fixed by Rosenlierger, was the comet, as yet but a faint .stain of //tflliv's Coimi. 50 I a ion ten iiid md ase :ars iild the Mr. o]ie I sice II of li;;l,t on the .k-ep blue c,f th.- \.ei.ve„s. It arr■^■e,l :.t ,»r,l.el,.,n on llK- Mlth NovcinhtT, tlit- ,i;rfere,.ce l»:t«i-i.n the ol.senrf and the naan of the c.nn,n.ted n of the last ,,er„„l was fonnd totseventv-six years and \X< days. An e,|ual jx-nod jvo dd brinir the next jwrihelion passawe to March 'I'Mx. I' -. It "a* been ascertained, however, that the next retnrn »dl he son.e- what accelerated 1>V the attraction of Jnpiter, and that the ,*r,„d of the rev<,l«tion which the comet is now perK.rnnnK wdl be nearly two years less than on the previous occasion, and shorter than any l.i'therto predicted. According to the best .anthont.es thenexi perihelio.i passage will take place on the ■.>4th May, 1111(1.* Accounts of past appearances of Halley's con.et vary c.nsidera blv in respect of its si/.e an.' brilliancy. These discrepances tnay no doubt l>e accounted for to a consi.lerable extent by a con.pan- son of its .listances from mn Kh.be at successne v.sus. These necessarily ranged between wide linn.s. I.. !««•. the comet approached the earth within fonr and a halt nulhon nules. Doubtless there have been .«asions when the earth was on the far side of its orbit at the tin.e the con.et cr.>ssed the echpt.c, u> which event it would be separate.l bv- a nu.ch greater n.terval than in Is:!.",, and consc'.iuently present a less conspicuous appearance. Apart, h.,wever, fr.m. the apparent effect due to chauK«s in relative p..siti.,..s, Halley's come, is renu.rkable for sm^ular an. sudden changes of aspect. I.nrinK some tin.e l>elore an. alter its ,.-riheli,>u pa.ssaKe on N.nenrber ir.th. ISIL. >t ap,*ared .im.e des'titute of tail. Vet in the preccliuK October ,. ha.l a .1 extending twentyfour degrees, which Bessel .lescrd«s as aung been produced by emanations at first issuing Iron, the comet in » 1 have alsi. seen ,;.c date sive" as the .6th May, m tile dirt-ction of the //iMy.< Ouiiii. sun, anil Ijeiiij; swept niiniti as it' hv snnie rt-pulsivi- forre. Ajrain, in tlie twenty fonr hours from tlie L'.inl to tile LMth January, \><:'.l\, the liriRhtness of its nncleiis inerease.1 twenty fold. These clianges indicatiiiR as the>'