i:^^ .-■y-j^ii ,',7>^ "■"-',■'" •*- CIHM Microfiche Series (Monographs) ICMH Collection de microfiches (monographies) Canadian Institute for Historical Microreproductions / Institut canadien de microreproductior historiques rar.f tr -.ij --"-ff.rr.; if.s. »•; '1 :JfSni^'-ia 'mmiam fis been reproduced thanks to the generosity of: National Library of Canada The images appearing here are the best quality possible considering the condition and legibility of the original copy and in keeping with the filming contract specifications. Original copies in printed paper covers are filmed beginning with the front cover and ending on the last page with a printed or illustrated impree- sion, or the back cover when appropriate. All other original copies are filmed beginning on the first page with a printed or illustrated impres- sion, and ending on the last page with a printed or illustrated impression. The last recorded frame on each microfiche shall contain the symbol — ^ (meaning "CON- TINUED"), or the syrrhol V (meaning "END"), whichever applies. Maps, plates, charts, etc., may be filmed at different reduction ratios. Those too large to be entirely included in one exposure are filmed beginning in the upper left hand corner, left to right and top to bottom, as many frames as required. The following diagrams illustrate the method: 1 . 4 I L'exemplaire film* fut reproduit grace i la gAnArositA de: Bibliotheque Rationale du Canada Las images suivantes ont *t* reoroduites avec la plus grand soin. compte tenu de la condition et de la nenet* de l'exemplaire film*, et en conformit* avec les conditions du contrat de fllmage. Let exemplairea originaux dont la couverture en papier eet imprim*e sont film*s en commencant par le premier plat et en terminant soit par la derniAre page qui comporte une empreinte d'impression ou d'i'lustration, soit par le second plat, selon le cas. Tous les autres exemplaires origiriaux sent film^s en commencant par la premi*re page qui comporte una empreinte d'impression ou d'illustration et en terminant par la dernjAre page qui comporte une telle empreinte. Un des symboles suivants apparaitra sur la derni^re image de cheque microfiche, selon le cas: le symbole — ♦• signifie "A SUIVRE ". le symbole V signifie "FIN ". Les cartes, planches, tableaux, etc.. peuvent etre film*s i des taux de reduction diff^rents. Lorsque le document est trop grand pour etre reproduit en un seul clich*. il est film* d partir de Tangle sup*rieur gauche, de gauche k droite. et de haul en bas. en prenant le nombre d'images n*cessaire. Les diagrammes suivants illustrent la m*thode. 2 3 5 6 wmmmmmmm SS! -mmm^^mm MICROCOPY RESOIUKON TEST CHART AMil u'd ISO TEST CMABI N„ ] 1.0 .25 «!28 32 1.4 IlilM l|2_2 [2.0 ii 1.6 ^ APPLIED IIVMGE Inc PUBLIC' (iV Bominion !lsitrop{)] \'i( re Vol. [, : THE ORBITS OF THi: Sl'KC OF HOS HY W. K. This star (I'JOO a = 19'' 30 ■4'", 5 = +r>A was found to be u binarj' from the double Vnu nine plates were secured during the suninier, present solution. These four, taken befoiv t a phase in the orbit where the siiectru are partiii Of the remainhig twenty-five all but f(jur h the determination of the orbit rests on the wji oji Seed 30 enmlsion with the sinf^le jirisin s] central ray X42()0 of 25-7 ajigstronis per niillii The spectra of the two conij)onents are being barely sufficient to eiuible one to toll set of lines belongs. The lines of both comp dozen on the average were measured in each the probable error of a plate for component 1 ±2 1, and for the other ±2-5 km. per sec. nearly er iHi. ropfjpgiral (^(jserbatorp ■ICIORIA 'ol. I, \<1. 1» Sl'KCTKOSCOl'lC COMl'OXKNTS ■ lioss r>02v, \\. K. IIAUl'EU = +.j4M4', photographic magnitude G -3, type P'ij) hie lines shown on the first plate made. Twenty- imner, all but four of which have been used in the )efore the ai)praKc u>iiin the corrected period 7 ti:{s:5 days. OaSKHVATIO.NS Ol BOSS 5()2tl I'IhIi- Dulr Julian Dal)' I'lia-K- NiinilMT I'.tiit ■J17J .lulv 21 2.422.ltil-7!iS t) 2.10 •J4HH '* 22 11.2 7!l7 7 220 ■2-,>s •' 2il lljti 781 :t r>7:, ■irM •• 27 Iti7 ,H(HI 4 ,-.!M ■.'.-.54 " 28 . . ^ I(i8 7.VI .") .".44 ■iii.s;j \MK 14 ... l8.-i 7.H2 7 2<.Kt •J71ti •• 13 1811 81(1 1198 J7:«t " 18 . 180 t;87 ;t -.')«) ■27:*) •• 19 l(M)-7:«t 4 009 ■-•786 " 21 102 724 ti oo;i 2H(I1 •' 22 . HU 7()4 7 • nKi 28 If) " 24 19.") 747 1 987 287;i .Sept. 1 2(«-7:tl 2 :i32 2H81 . 208 ^iC) 7;)37 2888 1 200 ti'.U 0.")8 28 2 W2 2<.LM " 12 . . 214 titi4 .") 028 2-(• 4 -0-2 10 + 20 a fO 3 10 11 + 4-7 'i -0 .5 :i -0-8 ' <'i)ni|Kiiii'iit 1 \V1 4- 2") 7 t-l(Hi() - 40 2 - 20 .") - 14 f 110 - .V) 7 - :)0 3 - 18-7 + 54S + 87-.") - Ot) 8 - Wl 8 + 110 1 - 47 8 - 01-3 - 10 .". + 72-8 - 70 8 + 2."ill + 80-4 f 82-8 72 .") + ,")5-3 + 88 3 ('uni|iunent 2 Vi-1. LiiiM U-C 21 10 10 10 4 20 3 10 19 11 13 14 1.") It 10 12 -0 ,") -0-8 + 4 .5 +or) +34 -2 1 +.")0 -I + 0. + r -0 -4 -0 -3 + 1 - 75- 1 -1251 + 2,') -137 7 + lB-5 i- 23 2 - 87-2 -117 4 + 44 3 + 390 -137 7 + 121 + 30 -107-7 + 401 - 57 5 -110-7 -126 7 + 42-5 - 95 2 -120 3 I 9 5 3 14 10 8 7 13 3 8 9 9 S 11 13 13 14 12 -113 + 10 9 + 9 + 1- - 1 + 4- + + 3- + 3- + 3- + 1- - 2- + 3- - 1 - - 1- + 3- - 6- + 1- - 3 + 0- - 14 The period wa.s obtained early in the observations, thus avoiding to a large extent useless plates at phases where the lines would be hopelessly mixed. In addition, this knowledge of the general form of the curve made po.ssible the securing of separated spectra close to the crossing points by narrowing the collimator slit from its usual width of ().")1 mm. Nicely resolved lines were secured where the difference in velocity was of the order of 70 km. per sec, and in one case a difTerence of tjO km. gave lines clearly double in the violet region. Krom the jireliminary elements gi\en later observation etjuations were built up ac- cording to the notation of l.ehmann-Filhes, modihed to suit cases of double spectra*, and a least — .s()uares solution effected. .\s no early observations existed whereby the preliminary value of the period might be corrected, this term was also included in the sdhition. This i)ractically necessitated treating all the observations separately, and only wht re they were taken on one night or where they fell on a smooth part of the curve was this principle dei)arted from. In this connection the four plates showing single lines ' Ddruiiiioii t Kisi I viitiin I'liljlii-atioiis, Vol. I, paKi- 327. viiiiiii'tii<'iilly fthmit one of thf cniNsinn p wcro foriiied into onr iwirriml pliK'c. Hy iiiakiiiK ihr following traiisforiiiatiims a srt of Ha (if)s('r\'ati()ii p(Hiations involvin); the 7 iiiiiviiowns 7, Ki, K., r, ui. V and T wrrc t)uilt iq). TJir weights of each arc as given in the last column. X = «7 y = «K, 7. = SK, n = ".I2 «« V = ifj «U) « = |;M':ii()4l f> I' 1 = |2ii:w-)| «T OHSlKV AIIUN IX^I AlloNS l4u 3771 -2 .HXl-O 1'. \ (100 -^ .•.02 mm -1 lit + ■.-.K2 t- 173 412 f 4 •2(N) 4 3 1 000 + 7tiO (XX) - 1 447 + .•ill -i- 0»>)) - .544 -IKN) 16 4 1 000 4- Sl + 1 ■363 4-5''200 10 II 1 000 + •)MH (NX) -t- 470 -1 10.5 f 24.-. + i '8S3 4-1 700 11 I'.' 1 000 - 3M (NX) "1 213 -1 (XW f- 030 + 6.W -3 SOO 3 13 1 000 - 412 (XX) -I 003 -1 mi KX) + .587 4-1'SOO .5 14 1 (KX) - KU> (NX) -r ■ xw - ■470 -r 007 + ail -1 700 14 !.■) I 000 - 603 (NN) -r- 'MW, - 171 - (XH - •071 -2 »X) 20 l)> 1 000 - .541 (NN) + 1 mi -1- (XI7 - (NM - 102 -2'(XX) 1 .5 17 1 000 - •3.W (XX) ■f '770 + 2S1 -t- 037 - 141 4- 'HhO -t- (X'.4 + '377 4-1 -OIX) .5 L'O 1 000 0(MI - • ,V)2 + \ 114 - ■.Vi2 - 173 -f- 412 4 12 7(X) 1 21 1 (XK) (KX) - 7)10 + \ 447 - .-.u - (N'lO -(- .544 4-1 0(X) It '»'» ] (XX) (MX) - Sl<) + 1 4M) - 4S4 t 2(N) -i- ' .572 -t-3')XN) 11 •23 1 (XM) '(XX) -1 122 + 1 224 - ■24S -1- 134 -t- (Wis 4-2 ^(X) 20 2» 1 0(K» (NX) -1 134 + 1 101 - 231 -^ 2S7 f • (X.S - ■:«)(. 12 2:> 1 (XX) '(XX) -1 2!)7 + 420 + ■030 - ■21.5 4 .5'23 ~-l().-.(N) 5 2I> 1 0(X) (XN) - 1 347 - ()02 + •20.-. - (NX) -t- '333 -2.'XN) (10 27 1 000 (XX) -1 304 - 417 + ■31.-> + ■(N)S 4 • KM. -4 (NN) 1 3 2H 1 (XXI ■(XX) - 1 IS4 -1 ■131 -t- 'OH- + ■136 -1 3(i:t -7H0O 10 20 1 0(X) (XX) - '9K(i - 470 + \ IO.-. - 24.5 -1 ■Ks:i 4- ■7(N) 30 1 000 000 + 3K1 ■ 1 213 + \ (Hi.S - 030 - (•..V) 4-7(XX) 3 31 1 000 (XX) 4- 412 -t 1 ()03 + ] '()3t + ■KX) - ■.5S7 4-.5-2(N) 5 32 1 000 (XX) -*- ■(>«) - ■ r,m + '470 ~ (Xi7 - a3i - SOO 13 33 1 000 (XX) -(- 603 - 066 + ■171 + 003 4- 071 -3 000 15 34 1 000 000 -+- .i41 -1 024 - 007 + 004 4-1 024 -.5 SOO 13 35 1 000 000 + 356 - 779 - ■281 — 037 4- 141 -7^aoo 5 00925710 :i}M^^z^:ia'^.U:. m^i^W^aF^-^.: ton '■'""u, ,„, ,H.M,M,,N Vsn,.,.„>,,„.M .....MnNTuia N'>ll\l \l K^i MHiN- !l K(MI,\ f II :.»iy IN (iStl !i iii:.z • It IK Ml 1 1 S(li) IN !l| 1 - 7 (171 - 1 .-.IS t 7 ."(S!! -lac-OS wa.. ro.i„.....l fL ,,7 ,.. !; -- T ^^'"""^ "' ^'"^ ^'^^^''^-'^•■^ ^^ ^^e normal to ;5S(;. iihout 27 j)or cent. • I "-Z- J. 1 -fr^ 'frm.^ .;|•^ ^ iiHSIIU \I|.iav. 7 •ViS.Jilayx ' («)l1),l.ivn l^niKllildc iif :i|>M' I'onKil iiilr ,)f ap^r \ iliMllv iif aNxtrm r\ K, K . li; .'1. km i !»•.• km 1 •>: km •M) :M-.'.'..'()I 1(1.-, .■)-'7 i (Ilk) ••i" 7j . ir «i -••.tr 7« 1 (I'm 1.1 .VI km. • (1 ,;ti km ■"omi-iimpliiiiilr' Ml UIM liirv X'i M km. • (1 ti>l km I'rriiifilrMn |i,i.«j.iiRp Sfinj riKijr.r axiH 1 .1. tin 1 •M rjkm • (1 71 km 1 1> j.ii-.',j-i - -^rar.. ..;„!r^ -ivi i ^-■«;:' i'*r, rv->;tr