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Lorsque le document est trop grand pour etre reproduit en un seul cliche, il est film6 i partir de Tangle sup^rieur gauche, de gauche d droite, et de haut en bas, en prenant le nombre d'images n^cessaire. Les diagrammas suivants illustrent la m^thode. 1 2 3 1 2 3 4 5 6 DEPARTMENT OF THE INTERIOR Hon. W. J. RoCHI, MmuHr. CVNADA \V. \V. CuHY, C.M.U., D.putu .Vmulfr. PUBLICATIONS OF THE Dominion Observatory OTTAWA fT^'' <-f.i>'^w „ y,o>' VX. F. Kino, C.M.G., LL.D., Direclor. Vol. I, No. 13 Orbit of I Persei from the H and K Lines BY J. H. CANNON, M. A. D CAl MT U03 POl-13 OTTAWA Government Printin<; Bureau crniFPOIYTFrH-llOME BIRUOIHEOUF Erni E POLYTECHrJlOUE BtP I IP T I I r r, I I DEPARTMENT OF THE INTERIOR CANADA Hon. W. I. Rnr.,r, Sl,n,.l^. W. W. C"MIM"N ' '11>K1(\ \ I i 'II V , , ■, .1,. ■,,„.r,n< nf "'nra.^ons n. ..m ii .i-- i l,r..M.l liiu- uiaf. aiM atimiiot, «a< piv.-n aliito>l ..Nc'iiMsrlv ,., tl„. // M, 1 /v 'in'- of ralntim TIm-.' Im- wm- „ut alway- fuuna ot, ilir platr,. l.iit t;rnrtallv otir or uthn- of ilirtn was urll .-.HHmh WHil.c.l to 1„. iMraM.iv,! Of thr I'.MtS plates uiilv tu„ nave ineasMHs „f K wlii.l, unv .•oiim.I.tcI ivhal-l.'. of tlir later |>late^. I'.MO- n-rj. II I'lati- were PmmI elio'.mll to he lIM-ful ill llie ilelenililiat ioii of the orl.it. The later plate- were all Se.'-l 2:i ana uere iniieh better than the earlier ones of Se,d ■.':. althouiih the Ime-iirained plaie di.l not -erve |„ make the l.roa.l lin.'s inea-nral.le. As -tate.l ahove. these l.road lines were nieastire.l at first An attempt was also made tu p't measures on the memlier- of the -eeond series of hvdroiien with a view to (leterininiliil the wav.-leniiths „f th.'se lines in this .tar. l)iit the Utter iinpo-Ml.ility of any- thinj: definite in tlii- regard led to the atumdonmeiit uf the attempt. Th,. wave-l.^n^iths t.sed for // and K were W.SC.L'.-, and :VXV.\S2r, rosp.^etively. A' was. with very few eNee,)tions, stroiiiier than //. Some plat.'s wetv found in which // and A' t;ave widely ditY.Tent results. In such a ease, if the lines were e(,ually titxid, tlie plate was left out of consideration: if one was nnu-U l)etter than tlie other that line wa.s used. Croat aid was trivcn in the work l.y the u.so of Verkes measures of t.'ii plates kindly sent me l.y Professor Frost, and of nine more plates loaned hy I'rofes.sor Frost and measured l.y me. As a check on tiie measures (.f a i.hite. h.'r.. and at Verkes, two plates IBlll iuid lMi)2 were measure.l at l.oih i.laces. o„ ,„„. ,,f the.se. IIi4t)2, the measures were i.ractically the same, l.ut on the other, not to(. well-defined, a dilTerence of ten kilom<-tres was found. Of the nine jilates taken at Verkes and measured hero, unfortunat.ly tour (.f them {tavo // and K difTerinp; considorahly. wiiile one of them fiave <.nly // measurable. Otherwise the Verkes plat(>s fit tlie accepted curve as well as can he oxi.ectcd from a spectrum which sivos onlv one and at most two lines on which to base rosults. iiKBir »i SHSEI KKDM IIIK // AND A MNEH. 357 TiM.' I i;i\.- ^crkes plaic- in.aMir.il iit Ycrkrs; Tuhlo II. Yrrkes plat.T. iiKiiMHv.l l.v Caruiun; aii.l Tal^l.' ill. nucs Ottawa ohservatioiiB. iMiii; 1 m;rkl.s ohst.Kv \Tii'Ns mi:a>i iu;i) \i \i,uki> I'Ulr nil ll'i I tl IT'i ■jci.i 4ti.-, Date. I (lori s,.,,. ■.'.•, (p,i iii 11,1 J:f Nov- 7 !).•<•. 1 ... l!H)t April l.i Sopt . HO Dei- :«) IW. AiiE 10 ' ! ' ! I Julian l)ii> l'llH..l Ml (i :i71 lilt K| .-, (lis 411 :s .-1 1H7 42(1 7W fi.Vt.'i t.'<(l !<)'> ■-' lltil ITU .VI (M1!I7 .".Ml iK) 11 .">:(J 7.-.» , -flit, Hinnlual -li li s.M) S7'J mr, Uflfl ijos 1216 r.'fio r.'H!) 1350 TAiii.i; 11 VEKKEri l'L.VTi>-Mi;.U!L"Hi;i) BV CANNON. Plntc 1 i Uiiti'. i IB' ' i 1006 I Oct. 12 1907 Jan. 4 Oct. U. Oct. 18. . Oct. 20.. Nov. 30. Dec. 16.. 1908 Jan. 20.. RcrnarkH:- 1109. 120H 1289 1350 ;/ and K ilifTiT. // is hii^hlvj+jvc // IS much morc3+ ve. 6i643- 2i :i5K prBl.IC.VTlONS OI- THK DOMINION OBSKIiVA TOUY. TAUI.F. Ill oITVWA (IHSKKVVTIONS oK { I'ERSEI. PIhIi' 1974 1W>'.' 37ii.'i ;!777 3M7 :Wii :)■-■< 1 3921 3929 :i93ti 3957 3962 3974 3991 4020 405C 4067 45S2 4634 4645 4676 4685 4690 4718 4729 ■ 38 4745 4758\ 4759 J 4779 P' c c c p c c P' Date. 1' C P C I" P c H C C H C P' P' P P>-C C I" H H C P' P' c 190S Nov. -20 Dec 4 I'.IIO Oct. 10 Oct. 19.. Oct, 2.5 Dec. r, DtT. 12. Dec. 16 . . . 1911 .I:m -< ■ . . . ^Jiin. 9 }Jan 12 .. Jan IG ■Jilll IS jjan. 19 jjan iiO iFcli. 10 .. [Feb. 27.... IMar. 6 ... iMar. 7, . .. Sept. 13. Oct 1-2 Oct 13 Nov 2 Nov. 3 Nov 10 . . Dec Drc 19... Doc 25 1912 'jail. 1 . iJan 10 'Jan. 10 'Jan. 12... in. 60 40 62 S5 45 60 76 42 40 43 65 48 45 60 60 50 55 50 50 55 60 tiO BO 59 62 67 40 40 55 51 49 90 Julmn Day ''lia«c. Liuea 2.41H,2Wi s;t 280-72 957-83 964-81 970 91 9,011 61 018-68 022-79 042 54 046 54 049-55 053-58 055-57 056 -5S 067 -6t) 079-56 mn 5S 11)2-50 103-52 293 89 403 5,S 412-50 412 5:5 414 60 OKBIT OF ^ I'KKSE' FKOM THK H AND K LINES. 359 Plate. 4801 4819 4828 4831 4833 4839 4843 4S4B 4863 4818 48W 4874 T.\H1.E III. OTTAWA OBSEUVATIONS UF £ yEHHEl-Concliukd. t I O Uutc P' H C V r H C H II C H C I'.t .. ■20... 1 10... 12 . 13... Fib. 14... Feb, 20,,. Feb 23.. Feb. 28... jMar. 5. . . Mar. 6. . . .liin. ,I:m. I'el). Feb. Feb Feb a m. 93 93 108 90 90 98 87 90 87 92 86 89 Juliiiii Day. Fhuwe l.ll.ea. Vel Wt ■J. 421 Ii2 5-543 // A- K + 21-0 428 56 5 533 K + 15-U| 434 ."il 4 . 533 H A- K + 21-8 443-52 0-593 K + 21-2 445 55 1-672 II A K + 11 9 440 53 2-652 II A K + 7-3 447-53 3 6ri3 II A K -t- 21 4.^3-56 2 732 11 A- K + 14-U 450- 58 5- 753 K 4- 17-S 401 .54 3-763 II A K + 21-0 407. 55 2 822 K + 14 2 468-55 3 813 ^ + 150 0-C". _ 5 + 4 + 2 - 2 + 6 + - + 2 y + 1 -7 - 3 -2 •P-PUlkett. ll = Harper. P'-ParkM-. C-Cannon. 3908 025 3933 S2 5 1B= S,10 Vel \Vt MEASIRF-S UF £ PEllSKl Verkeb I'lateB. 1H= S79 Vel. \Vt lU' '.i:i5 Vel. : \Vt 12 10 1 Weinlltol niejiii V, Vj Ciirv. Radial Velocity - 12 10 + 20.90 + -04 30 + 14-5 - 15-18 J 1+ 38-05 J 15 1" 19 -S9 -02 30 + 4 45 + 38 05 - 18-74 + 11 -30 + 19-3 IH' 1199 Vel. \Vt in> 1208 IB' 1210 Vel. \\t 20 54 i _ 20 54 + 20 24 -t- 07 " 30 -5 23 44 i Vel. Wt IB' 1260 Vel. Wt 3. 20 1 + 005 i 0-05 H ... - 23 44 + 17 09 + -14 30 - 5 9 - 4 19 + 16.90 07 30 + 12-3 05 2. 47 07 30 + 34 i(iO I'rni.icArioNs ok thk. domimon (mM;i{\ mokv. MEA-sruKs or I i'i;usi:i c.iuunutd. X 1H> IJs'.i Vel. Wt I If i:i.-,o 1 V.-l, Wt Vrl. Wt Vil Wt ! \.l Wt^ V.l. Wt V.l. Iwt. ^ l^ Hi 1 1 • I.! '.>1 1 i i 1 1 3 t 7 it -t 1^ li 30 III - 20 01 I'l - •2S + 35-5 + 4SO0 - 23 01 ■07 — 2 s + 24^7 + 34 20 ~ 23 02 - 04 - 28 + 2M-37 - 23 1)2 1)4 - 28 + 2740 - 23 01 07 - ^28 Kdilial Vcli).-ilv + 103 + 4 1 + ^ ' •Cliifk .Mciusuri'iiii'iit. 3(i2 PrBLUATIONS OK THK DOMINION OBSEUVATOKV. MKASriiES OF i rEKSEI-r,.iirmu(vi. Ottawa Plates. 3974 .1991 4020 111211" lii.M; 40.W tlM17 X V,l W I \ ■■! 'A 1 Vrl, \Vl V.l \Vi Vrl \\1 1 Vil, \M 1 Vrl. \Vt. 3968 025 3933 ■y25 + 42-10 1 + 42^9:J 1 + 45 84 1 1 ■■ + 46^G8 J 1 !■ ■■■ + 45 01| 1 1 + 43-76; I + 34-19, i Wfifthtcil itu'an V,, Curv. + 43 711 - 27 il^"' - 211 ■28 t- 42 10 - 2S3> 13 ■28 -r 42 93 - 2s^'.«i 21 - 2S ,- 4,-, M - 2s ijli 21 - ■ 28 -t- 4li lis - 2S 47 13 - 28 r 45 01 - 2s 47 13 ■28 r .'A 19 - 2H 30 19 •28 lluJuil Veloi'ity ^ ltJ2 + 13 3_ + 13-5 + ie-4 + 178 -r III 1 r 5 4 •Check Measurement. ME.\srRES OF £ PEK.SKI— ''„i,(iMif.(. Ottawa Plates. 4552 4634 4634* 41115 404 S* 41170 41170* X Vel. ' Wt V.l Wt i V.l \Vi 1 V.l. Wt Vil. Wt 1 V.l W t V.-l ' Wt. i 1 3968 625 3933 825 - 23().S i - 4 81 1 - 33 1 + 10 11 1 + 12 15 1 + 996 i + 10 56 5 + 5^24j i + 19-63j 1 Weighted ini-an V, v.. Curv. - -23 08 -i 27 114 +- 02 ■28 - 4 81 + 19 99 -r 07 ■28 - 11 33 .f I'l il'l + (»7 ■28 f 111 11 t- 19 112 02 - .28 + 12 15 + 19 02 112 ■28 . 13 2il T 11 43 1)9 ■28 -, 14 80 f 11 43 1)9 - 28 Ka,ll..l Vi-loi'itv -. 4 3_ + 155 + 19-4 + 29-4 + 31-5 1 + 24-3 + 25-9 •Check Measurenicnl ORBIT OF i PKHSEl FROM TIIK H AND K LINES. 363 MEASrUKS OF i PEIISEI— ('onliiiuni. Ottawa Flutes. 4«85 \.-l. \Vt 3yt>H-(')2.") 3'J33-K25 Weixhtcd mean V, \\, Curv. 486.5* 4690 V,-l. Wt. r 4-l« J + 4 16 + U) 94 05 ■30 + 6-32! Itiidiiil Velocity I + 14-H + 6 32 + 10 94 05 -30 V,-l. Wt 4690* + f frl 1 + 8-t)4 + 7-63 + -07 -30 Vcl Wt 4715 V.-l Wt + 16 9 + 10 07 1 + 1007 + 7 63 + m 30 + 101 4715* Vel Wt 4729 Vel. Wt. + 31 80 { + -MM - 5 38 - 02 ■30 + 30871 4 •Chi-ck Measurement + 30 87 - 5-38 -02 30 + 18-22! } 17 5 I + 26 2 I + 25 2 + 1822 - 11 75 + 06 - -30 + 6-2 MEASURES OF { PERSEI— Con/inued. Ottawa Platea. Weighted mean + 16-72 V. - 1 1 75 V, + 06 Curv. - 30 Radial Velocity + 4 7 •Checlj Meaaureiuent + 33-93 - 20-90 + 10 - 30 + 38 35 - 21-63 -07 - 30 + 12-9 + 16-4 MA I'l BLICAIION^ <>1- nil. UMMIMON ousKin \rnuv. MKAsriu.s oi' £ i'i:i;si:i cimiimiai. Uttawii I'hitca 3908 ta.') 3933 S'jr. Weinhteil iin'an V, V,, (.'urv. V,l \\t \,1 \\i + 42-52 1 *■ 42 ■".-' - Jl i'..S 117 30 + 44-41 i + 47-09 1 \ , 1 W 1 ivl'l \r| \\t Hailml Vflurity I + 20 -r) •Chr.k Mi:iMinii»-m, r 411 .■>■. - 23 sT 13 30 + 40 4-| i + •45-H4 1 T tl 01 - 23 ^7 13 30 l^l'i* \v\ \\i| V.l Wi + 33-50 1 + 40-10 1 t I'l .is Ml 2,". 71 U.'. •30 + 42-03 . 12 '."3 - 2.". 71 (t."i ■30 + 45- IH 1 + 50 00 1 + 40.03 - 21'. (to («l 30 V,-l \Vt, .■)4-83 i f .-,4, S3 - 2H 30 (17 ■30 .'1 s I • 20 1 M!:\srHi'..s nv J iT.r.sKi <;,„iinH,'i. Ottawa I'lttltii. (Sir v.l w \ ,1 w t 4s3.i* 30()S 02.') I 3033 v2.-| I- 1.". 1"! Weighted mrriti V, Va Curv. + 4.-. 1X1 2s 30 07 -30 + 4H.HS ■ + 32 o:i 1 2S .'.<) ■ 12 -30 V.l \\l V,-l \\t + .72-0t> i + 30 10 5 |sl:i \V1 \\i + 40 SI \ 1+ 45-Oi: { 1+ 39-tiO } + 3301 1 1+ 52-501 1 1+ 44-43 1 Vll, W!, Vil...-llv 13 I'.l 2S .'.0 ■ 12 ■ ;«) :ir> ■ 2."i 2s III (17 3U 10 ■30 ).; 11. 2'l (13 11. ■30 + 47-34 1 t 47 ,i4 - 20 I HI 20 ■30 I 1 nil I • 17 s •Check M.^ii-iiriiii.iii UUBl T OF i J'KKSKl moM TIIK // AND K LINKS. :u\'> MKASria>! OF £ I'KltSKI '■„„r/.w..r UtUwa rUttes. Uadiul Velm-ily + -1 '' Tho iHTiud finally decided on after a great many trials was G-951 days. There are sonu- fairly large residuals but the probable error of an average pl,l, is ♦30, and that is v.ry satisfactory when one considers that many values are dependent on one line which is not always very well dehned. The observations were grouped into eleven norn.als which appear in Table I\'. (The phases are from the Hnal 2'j. lAlU.E IV. 300 I'lBl.UAlln.NS OK nii: DOMINION OBSKHVATOHV. Prpliniiiiiiry tlomciit.s for the orbit follow;— Period =t)'.t.")l (lays .' =1 w =150° /v' =7-7r) km, T =2,llS.2H»;M'.t .1 1). y =+ir)-92 km. ()l,sorvati..n .H,uations wore form..! un.l a soluiion put through uith utioii to thr true valiios ot thf the object of sjettinii a closer approxim elements, 'I'ho ()b>ervatioii (-(luations found were: No. TAIU.K V. 0B.-KKVAT10N l.yf.VTIONS i 1 •4lil • - U9 + ■786 2 1 , + ■786 87H + ■ 139 3 1 ; + 911 ■925 + 019 4 1 + '881 - ■.')19 - 303 5 + ■807 - ■130 - ■ 499 e + ■446 + ■ S39 - •8'J<) 7 •497 + •235 - ■962 g „ 1064 - 1 UOI! - 261 g _ 1024 - m-> ■+ 299 10 _ ■699 + ■ 7- ( + 740 11 1 — ■268 + ■975 + 93.J in which. X =57 z =K8e U = A'5aj Kubl (1-t ')i _ 694 ' _ 396 _ 057 + 21H + 410 + 840 + 1 0tJ6 + 253 _ 395 _ ■812 — 919 1 Wi'inlit . -r 0.S0 3 - 0-419 1 + 3 (XK) 10 + 1100 2 - 2 780 2 + 2 020 15 + 3 830 10 - 4 560 10 + 1 550 2 + 920 15 - no 15 „UHir OK ; 1'Kltr.Kl KKOM TIIK // AM> A LINKS. ■M\7 The result inn lumiiiil (Miuuti.)ii> sNiTc:— 17 5x +2()U7v -1<)04^ +l-7o2» -2mr +(i Os;^ = () 9.5547 -lH7tL' -1 405. +l-4'J',tr fO 1H() = U 0-7^1)2 +0')'.):^/ -()-.',5:5r +512H = 7-230i( -t)-9st;r -1 242 = G-b-i.-M' +1-357 = Solving tin.,, equations ,he e<,rnH.ti....s to the var.ous ele.nent.s were found to be :— 5y =--52 6A' = 1 00 5e =-11 6w =-22^-47 57' = - .4nt that anv solution would fail to make much reduction in the value of Upvv, the signs being well .hstributed in the residuals. However a least squares solution was made with the new preliminary values. :«)S IM Hl.ir.UlO.NS OK IHK ixiMlMiiN (.ll>l-.ll\ A lolO . Tl,.. ..l.s..rviiti(.n rnuntmns f,.rinr.l In.,,, i!,r „cw i.rrr,n„„iiry vii ,is,m: ih.' >a,iir s,il.stit,iti„i,s a> t,rf..rc, w.tc as fnll<,w8:— l,ic OBwKRVATlON ^.^i^ ATUI NS lUti.M SIO'MI llil I.IMIN MIV \ AUK; 1 I 2 1 3 t 4 1 5 + + 1 + ll'i •HIT + + ■<.m + -*- + ■ H7t> ■ .VJ.'» 1)16 ■ :»H2 + ■ HtM ■J64 062 I - 1 120 - MX) + 3 010 + H90 - 3 3'2I» 1 It 1 II ■2 -f ■H4'.t + 0«K) - WKt + (ilH + ■.Wl -t 147 ■WW - ■'.IHCi ■KM + + 1 (,3H ■844 + 0^4M) + 2 470 i l> 7 8 10 11 1 + ■ is;i + ■213 237 + IM ■Jfil - 4 620 + 1 370 1 ■2 11 1 71,7 + + •H'.tl ■ 252 + + •tUS ■883 OIH ■S37 - 160 - 1 MO IS 1-5 N(,riiml equations rcMiltinn tiici\'froiii were; — 17 -ox +-':nt;v +;Mw.-.: +\:mu -i •:<()> -7 -400 = .(■711// -0071-- -l-»)t:5// +l(W.lr -Mt4=0 1()'J72.: -'2-.")7'^// t 2 .')17'' -l(iSS = 77:5.".-' -7-7i:)r -:MV.t = 7-7r_'r +:i-2sa=0 SdlviiiK tlicM', the corrections found were ^y = + -.S4 km. 5A' = + -12 km. !,r = + -022 6a, =+81' -SO 67' = + 1 -oil liiA-s. ,„„.. .., c ,KK.K. KK..^. un, . ASO ^ ...XKS. 369 wliclK'r Mir ,icw viilnrs nf thf .IriiKnl - ^ =i:. HI km- /v' = 7 s7 kill- , = (IT.' w =111 Mt ,, „,,-..,■ ,..„>,„„-«,...»>.."> It i- rai till' iii-iuiii;il ^^ lictwrcn CDtlipil ..,lu...u, sva- .ua.l<. lor -L- >ak,- of .-.Mnpl.t ."..■ ■n,, „,w ul.~r,vat.on rMuattups fuliuW.- TMil.l Ml. oasEUVATKiN i:gl VIIUNS i3) -n„ ,,,nr>pon.riufi nunual .■quafun.s wore:- ,,.,,+,,..4. +0.24.. 4-1-51.. -1-776. -l-37o = .,.4;?0// -i-:n7. -i-r.r.:5. +i-*.o(.' "^ ■;.^; - S, _ .',o7»/ + -(Xm. +l-t)o2 = 7.578. -7.394r -fl.:?71=0 7-2«2r -1 -073 = (;.72Sz ;i7(t IM Ill.K \11'-N> i>l- IIIV DOMINION OH-iKIlVVToHV. lOrr.T'tum- n-uliii.u fn-m lli- .-..hiti..n <.f Hm-c n,uiiti..M- w.Tf:- 6y ^ L tlO kill. lli = + (10 km. «w =-42" tV2 IT = -MO (lays. Hpticc tho finally a<'cc>!>t<'ii clfiiifnts; — p = ()'».') 1 flays K = 7S7 kn>. 7 =ir)-4() km. r = im V =2.41S,21S ."^OS ,1. D. A summary follows >howinn results of th.^ various solutions ma-lo in the (Irfrmnuuion. Tl.r prohahlc errors are added in the last eolumn. SUMMARY. Klfrnfnt K U:llf-.\mplitll.|r , T Vi'l "f sysii'in e KiTPntnnty JAnpilnr \i I in // wn s links. ;i7i M,,., u,.. ,.,,,,,.1..., ■; ti- ^-H.it .l<-nM„M.i.m frn.n tl,. .•al.-nun 1mu-s, „,. n..>l.- U .!.■ l.n,a.l In,-- ..r- n^. 1 TU, d,tTuM.a... u, U.. |,„„- 1 .V,.,-, :u„l .nn.MU-' u.H-.r.u,.. ^ of ,1,. nu.-un-s from -1..,m „,,,.. n ,,u..'' >.,„ it.l.. .„ ...n,n. anv HliaM- .nt.,n.K.n,m .nm, .l.-m S,„,.. uaonnaunn n, n.ar.l .•> .1,,... Hn, M hav.. l..,.. ^.■.•v ,n„.n.^tn.., ,„„ i, ..,.„. ,l,a, >.. far w.. >nuM !„■ .unfn, u„l> -lu fa-, wind, ....us ,,.,,..,1 ,h,. l.roa,l IH,..^ -iH.w a nn.,'!. In.l.T ,„m.>v,. v.lnrnv .hau ,ln- // am! K lines. lloininion Oh^rx atory, Ottawa. .luiic I'.n.'. fT". "1 1 ' ' ©- -'- L,/" 20 / ^ >> \s, 1^ c o ^ \ «_— - o 1 . 10 ^ ^^ C 1— 1 o ^ ■ + 5 1 1 1 1 i I. 1 1 i ( -1 1 . ,. J i \ 4 r^ b ? 8 9 Veloti!> rurvc nt i 1 itml.