CIHM
Microfiche
Series
(Monographs)
ICMH
Collection de
microfiches
(monographies)
Canadliin Institute for Historical Microreproductions / Instltut canadien de microroproductions historiquos
^1999
Technic? .nd GitMiographic Notes / Notes techniques et bibliographiques
The Institute has :- i^-r.p'e-l ,o oblam the best original
copy available fc ■.iing. F<5dtures c> this copy which
may be bibliograp i. ;!.,■ iTinue, which may alter any of
the images in the reproii'iction, or which may
significantly change the usl h! method of filming are
checked below.
□
Coloured covers/
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I I Covers damaged /
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Encre de couleur (i.e. autre que bleue cu noire)
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Only edition available /
Seule edition dispcnible
Tight binding may cause shaco^vsor cistorlicr. alcg
interior margin / La reliure serree peut causer ce
I'om.bre ou de la distorsicn le long de la marre
interieure.
Blank leaves added during restorations m,ay ac:;6ar
within the text. VVhenever possible, these have been
omitted from fi^m.ing / II se peut que ceriames ca"es
blanches ajculees lors d'ure restaurat :n
apparaissent dans le texte, mais, Icrsque ce'a e:; I
possible, ces pages n'ont pas e;e filmees.
n
D
L'Institut a microfilme le meilleur exemplaire qu'il lui a
ete possible de se procurer. Les details de cet exem-
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D
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7
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This item is filmed at the reduction ratio checked below /
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lOx
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18x
22x
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26x
30x
?4x
28x
The copy filmed hare has baan raproducad thanks
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D.B. Weldon Library
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L'axemplaira film^ fut reproduit grace A la
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D.B. Weldon Library
University of Western Ontario
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plus grand soin, compte tenu de la condition et
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Les exemplaires orio' lux dont la couverture en
papier est imprim^e iont film^s en commenpant
par le premier plat et en termtnant soit par la
derni^re page qui comporte une empreinte
d'impression ou d'illustration. soit par le second
plat, salon le cas. Tous les autres exemplaires
originaux sont film^s en commenpant par la
premiere page qui comporte une empreinte
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la derniAre page qui comporte una telle
empreinte.
The last recorded frame on each microfiche
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TINUED "I, or the symbol V (meaning "END"),
whichever applies.
Un des symboles suivants appara?tra sur la
derni(kre image de cheque microfiche, selon le
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Maps, plates, charts, etc.. may be filmed at
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beginning in tho upper left hand corner, left to
right and top to bottom, as many frames as
required. The following diagrams illustrate the
method:
Les cartes, planches, tableaux, etc.. peuvent etre
filmAs A des taux de reduction diff^rents.
Lorsque le document est trop grand pour etre
reproduit en un seul cliche, il est film^ i partir
de tangle supArieur gauche, de gauche A droite.
et de haut en bas. en prenant le nombre
d'images n^csssaire. Les diagrammes suivants
illustrent la mAthode.
1
2
3
1
2
3
4
5
6
P0303 /4
DEPARTMENT OF THE INTERIOR
CANADA
Hon. W. .1. RCKHJ. MmiBlcr. W. W. CoBV, CMC Depuly MmMcr.
PUBLICATIONS
Dominion Observatory
OTTAWA
W. K. Kino, C.M.G., I.L.D.. Director.
Vol. Ill, No. 3
The Spectroscopic Orbit of
12 Lacertae
ii
f
liJ
Hi:
— •
BT
RKYNOLD K. YOING, Ph. D.
OTTAWA
GoVliRNMBNT PmNTINQ HURIAIJ
1915
I
v.
SR(U2— 1
'I'lii'; sn:("ri!()S(()i'ic ouiur (»i- il> i..\( i;imm:.
liY Iii:VMII.I) K. VdlVC, I'l. I).
11
t 1
The liinan- clianiclrr of !_' l.arci-iu' (a = 22'' '.W'-i). ,5 = +:)<)^ 1(1', iiiai;.
.")■.">, typo IVJi \va> aiiiK.uiirnl hy Ailaiiis in the .\-tr(ii)li,\-~ii-al .luurnal in
l'.)12. The ciiaractrr of tiic s])(Tirinii may iir iu-knl from Talilc I. wiiich
iiivcs the \\a\c-lcni;tli< of ijic line- u-i-i. In adililion to ilic wa-.c-lcn^llis
there iiixcn, helium lino at \ ll'.Ki:;- S7.'), X lOtlU 117, the lines ,\ lOMi. ,\ KKII,
X 1072 ai'e aNo i)fe-.cnt. None of tlie>e lattei' line~ were inclinieil in the
liiial fe(hietion>.
r\iii.i: I.
Wavr-Ix'Tigtlj.
-IIOI VK)
■m:i«-.>s
4267 301
Wavc-Lcndtli.
Element .
i:it()(;:!t
//
■l:iss. KKi
lie
tlTM.rtl
II,
11->1 1(10
Mg
■l.-|.->J-7.-)(l
Si
4:>i)7!)r>n
Si
The olwervntions, mimlieritii; 117. are 'j.\\ru in Talile HI. When th
writer heiian woi'k on
.aceita' in I'.M 1,
o\-er liiiy >pertro^ram-: ha
t
already Keen olitaineil and a- thi- niimhei' ii-uall\- -iillices to delei'inine th
• irliit of a hinarw the >tar
as renio\-cd fi'o!n ilic oli-ei'\inLi proiirannne
until -uch time as tlio~i' plate- already on liand -hould he reduei'd. Wh
this work was completed it wa< loo late in th
and while l!ie Itti:; and I'.ll I \rloeitie- indi-ated ;, sli
to hartiioni/e the re-ult- failed, mi lh:it it
sea-on to i;('t more plat(
that a I'lin of e\posUt
>r' period, all efforts
it was not until the tall of I'.H.")
e- ininle iluriim 'he eour-e of one niiiilt -howed the
I rue nenoij
he mdlMihial oi ,~ir\ at iom~ do not lit anv (au've well. Tl
Us
and al-o th.e fact that tl
le pi'noil i- \ery slioi-i m.ake the del ci-muial ion of
''i'' numiier of cycle- pei'formed lietWeen -ucce"i\e -ea-oii- dillicult and
hiile uncertain. Ueiwcen the lir-t and l.i-t plate the -tar ha< tra\ell(
iic.uK eiiiht thoii-and rexolutii
11^, -o Mi;it li no mi
-Lake has I
IS iieen maile m
I lie w hole numlier of ( \cle-. il
le period -iiould he aceiiiate to within a
second of time. < »li-er\ ation- -eciired at other ol>-er\at
llorie . coxerillLS tlie
"' I'^ll'' "i' 'he -ame epoch ,a- I ho-e ohtaitied hi're, wnuld prohahly
•Mimnate aii,\ uiiceriamt\- in this regard.
Hi
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66
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714 515
711-5',i;i
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711 (174
711-717
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715-700
715-751
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751 -0,5s
755-515
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7.55 072
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755-750
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700-510
700 111 1
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70!l (I'.IO
770 .5.50
770 007
770 7.57
771-021
771-721
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3
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THE SPECTROSCOPIC o.".BlT OK 12 LACEUT/j;
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-30-3
-3i'!>:
211 '.1
3ll('>
37 ()
20 3
12.s: i
17-3
1
- 23-8
!0-5!l
-
2.-, -37
li 11(1
+
ti!l7i
10
4-
0-03
1 1 2N
-
0-2S
IS -7
7201
v,-i. ; \vi.
v,r
— .»■;>,
+ 2-4i
-10 ()
- 3:,:
- <..3'
- 'J ■2;
;i3
0()7
((■2S
0-8
Wt.
-31-2
-1", SI
-11-3
-2'J-2
-21iO 5
r O'.K)
- O 111
- 2S
10 3
lid
f
I"
( -
82
I'lin.KATIONS II
K THK IMiMlM'lS onsKKVATOi
Ml'ASl
in.s ni 1-' i,.\<'ri!'r.!'-"f'""'i"""
',
- 4b
1 1
+ ■-;■■■
i i
4 4-:
i
- 11
1 i
- 1--1
t 1
+ 11) 1
'I i
^ 111'
7 .'11
V,l,
V.l.
\\t
4 1
+ 15.5! 1
+ Htllj
-:tJi
-;w
4
•25
<)
-59
5
-5:i
^
-47
(1
.-
l»J
Il
i;n
— 11
it's
-
■js
- 44 as
V,l.
\Vl
+ 11-3
3S-3
-JIO
-40S»
Vfl.
\Vt.
:i;Mi
- i;'j-4
110, J
:i-4
- y-3
- 7-2
-KM
+ 4-50
f 015
illh ^l•h( IKii.-l iil'K ulUUl (IK Ij LACLUT.K.
Ho
Ml.A.si lii:s C)l i2 LAChiiWi-:— Continued.
\
7.':i
72:i'.i
7J1(I
7J1
7JIJ
72 1:'.
7211
Vel.
\\L
Vrl.
\\1,
\il.
\\l
Vcl.
\Vt.
Vol,
\\l
V,I \Vi
\V1.
\\t.
m:v.iTi7
lis! ;
11 ii| •
-111 7; 1
-III-.-, 1
-13!l~ i
~ 2N • 2
4()ji> ."ir.j
--'()• 7
i
-2fiO
-22 -6
S
1
a
+ 1-7
+ 22
+ .■.■3
rill I
r ~'t ■ ■>
+ 1 ■>■.-)
-13(»
-20-3
-Kid
- 12
-I'J 2
+ 13
+ J-2
-
-21-2
- Ills
-.")(! 11
:.
i
-30-3
-23. 5
-13 1
4:U() ():!4
Ciss-KH)
1171 liTi)
4,"i.'<.' 7:iO
-1!M
-.'IMi
-2S--)
1
2
I
1
•
45t)7 ■■).">()
*
WV.Klllr.l
IIM'iill
\ ■
< 'iirv.
- (I.
-
Jll
-.1
l."j
Js
- JJ In
T- :! 1 1
f 1) IN
- 0-2N
|.-| HI
T :i l:;
+ II 12
- U-2S
- 11 i:'.
•' 3 11
r II 07
- (•■JS
- 37-
-T 3^
(1
- (1-
i.".
I'.l
III
Js
- Ill im
+ 3 OS
- 0(17
- 2S
1 1 + 1
I{:m1i:i1
Velnoity
- 30-9
- 10 1
4- I>il
— [•> • 2
- 3! r.
- 11 1
- 21 1
ill.':
v
'^::
;!^'
S4
IH BI.ICATH'NS OK TIIK poMINKlN (lUSKHVATOKY.
Mi;A-n;lS (H U \.\tVM'\.V. -Cn^flnmul.
TJl'i
:j:.I)
:i',i:i:i 7 J.
tJi.T .1111
1,111 1 tiil
4(71 c.;!!
44S1- lixi
4.V>-' 7:.o
4:iil7 'i.'.''
V,
Curv.
V,l Wi
■ 10 n
• 1-' :
- 17 >
\(1, W 1
\,l w
«■
-1". H 5
-;«) ii; ;
-;i(M)' 1
-44 :i i
j
-■J'.l'.i; i
-■J)0 i
-;!7 0i 1
- ir. s 1
- rj s 1
-ru \ \
-;i!i II 1
-41$ III i
-4;tisl J
H.i.ii.il
Vrloritv
11 I I
I.I
III
;i',i Ml
J 1. 1 1
II II.!
II JS
;«) ;i
a- .1
\.i \\i
-iii-oj i
- 2--« ;
\V1 \\1
II) 1
.■.17
n I
\,.| . Wi
-IS 7
-Jl 7
-M 7i
(I Js
Vrl. \VI.
- (IS
- 11 :i,
- 1-4]
- 'J (I
- 7-0
- 47
- 5.6
- 3 3
- 41 I)
■J,-. IJ
1 f)t
1 :«
. 1 ;>!
II I'l
II IIS
- 11 Js
- II Js
Jl
3-8
THK .SPKCTK(I»?(<JI'1C' (iKIitr
111'
!•)
-' I-ACKlcr.K
85
\ii;\si HIS (H u \.\i].]vvv.-<;,nh,u,ni.
X
7J70
7J!i:i
7J'ii'i
7.;iiii
7:iM_'
7:iii:>
T.iKt
\VI \Vl
1
\.l ' W 1
V,.|
\\1
V.l
\\t
\'.l, iUi
V.I.
\\!
\VI.
\Vl.
;i'.i.i:i 7J7
;iiiiii sr.'i
4i..'ii :i5j
4101 SilO
-ij 1 ;
-:«i.4 5
-.::m! 1
- 10 1 ;
--■11: ;
-j:i:i, ;
-:i7 ll 1
-17 1: 5
. . . i
-!>> 7| i
- -7 ■ 1 5
11 1
-:i> :!: i
-1:. S: ;
t -' li i
- r.ti
I
ft
- f. 1
-33
-i:i!i
17 1.
-Ill
-12 s
-:il .-,
-2!t-2
-20 H
-22 3
+ 3 !t
1
1
1
1
4
— .'. 1;
• 7 s
i
I
i
4l4:i(l.!s
4Jf.7 :joi
— 7 • i
i
-32
- 8-5
- 23
-IH-7
- I'.l J
-is:)
1
1
- -' 1 I
•rl'is '.
- 1-7! !
-i:!ti ;
1
-HOI ;,
1 12 7i ;
-+ Ki (I' !
■r2x-oj i
+ 14-2 J
- 4..'i J
4:140 I>.i4
CisSKH)
4471 11711
j.-i.-i.' 7:io
i:.ii7 ii.Mi
h 11
-^IJ n
- 1 ;i
J
i
)
•1
WciRhlcd
mi-an
\J
( 'iirv.
- 27 l:i
f- 1 J',1
- (IS
- II _'S
- 'SJ OH
1 '.(,
r (1 nil
- .'s
Jl :i
1 :<-,
- 11 I-'
.N
- Hi iiii
- 2 :i2
+ 12
- JS
- I'7',i
- 2 :ii;
- (b"|
- JS
- 23 (IS
- 2 111
- 11 is
- (1 JS
■ 11 111
• (11
- 2.S
H,'!.li:,l
Vclni'lly
- :•(•, r,
-'
'
- IS .-,
- 7 ,-.
- 2ti .-1
+ s-
[
Hi.':
86
PIBLKATKINS OF THli UDMIMUX UBSEUVATOHY.
:to:H 7J7
41(11 S'.M)
llt:t '.us
-r,l(ir,:il
Ciss Kill
1171 ''7r,
WVinhtfd
nif.in
\ .
\ ■
Curv
lUdnl
Vrlocily
MI.ASIHIS i>r IJ I.ACKRT.K— Cowfiiirffrf.
7:u:i
\,1. \Vi
-10- 1
— 55 ■ 5
-;t6-J
-■Mo
-34-9
-23!)
-52t)
i:i
(I js
\\'\. Wi
v,.i, : Wi
\,-l ! WI
Vcl. i wt
Vel.
Wt.
Vel.
Wt.
THE SPECTKOSCOPIC OKBIT OK 12 LACEKT.E.
87
The ubscrvatioii.s were frruuped into normal ])laces on the as.sumi)tion
of a i)erio(l ■ l<j;i()8!) day, the initial epoeli hciiifr taken at Julian Day
2,420,701 ■(). Kaeli iionnai place covers one-twelftli tlie period.
NORMAL PLACES.
Jiiliuii Day
1'lia.st'
fnim 7'.
(Vmijmti'd
OilHtTVfd \*flucil\
Vi'lcicity I'ri'hininary.
r()ni[)iitc<l
\'flcirilv
Kiiu.1."
o-c
I'rcllininary.
O-t'
Illlal.
1
2,1-20,701 WI.'iO
U407
■0580
■0720
■0902
•1014
•1195
•1385
•1494
•1647
1844
■0187
•0711
■0838
1011
■1157
•1333
1445
■ 1020
•1810
• 1925
0147
0344
-t- 2 5
+ 2 3
-108
-10 3
-239
-29
-29 7
-280
-217
-11 8
- 5 2
+ 20
+ 40
- 00
- 01
— 15^5
-229
-28^8
-30
-27 2
-192
-133
- 5 2
+ 2-3
+ 3 2
- 18
- 7^5
-10 9
-24 1
-297
-30 7
-274
-193
-13 4
- 5 4
-1- IS
-15
-1-2 9
-10
-10
-08
-1-0 3
-0 8
-2 5
-(-1-5
-0
-0 3
2
-0 7
3
+ 41
4
-3 3
S
-0 4
6
7
8...
+0 2
+ 01
+ 10
9
10
11
12
-0 4
-2-4
+ 16
+ 2
to 2
Tiie following preliminary (>lement.^ were estimated to be sufficiently
close to serve as a basis for correction.
P = Oiy;«),S(» day
(■={){)
T = .Julian Day 2.420.7r)l l.-){)
A' = IT^OO km.
y = -Wi-m km.
ii
f
£:3
T IS 'akeii as tiie point where the radial v.'locity curve cuts the axis
of velocity of the .-system while channinn rroiii negative to positive, i.e.. ut
the instant tiie primary memlxT of tiie system is nearest the si'ii. This
instant may con\ eiiiently !)«• desifriiated prnhftmii.
88
PUBLICATIONS OF THE DOMINION OBSEKVATOKY.
The observation equations resulting from these initial elements are;-
3 .
4..
5.
6
7
8
9
lU
u.
12
+ 1000
+ -730
+
403
- 148
- -583
- 931
-1 000
- 837
- 36"!
- 019
+ -460
+ WK)
014
•684
■915
•989
■ sri
•306
+ 1-5
■+-4^7
+ 10
+ 10
+0-8
+ 010
-0 3
- 540
+0 8
- 931
+2^:.
-1 000
-15
- ^SSH
- 136
+03
WIUTC
= dK
Tlu'.-^e ^ivc normal ('(piat
9-:5UU.r -O-S'.K)// +011'.)> +G-9S9 = l)
+ ,■)•! U.v +(IU")t)2 -()• 102 =
+ 4ir)7; +2-733 =
X = -0-750
y = -()-()7S
2 = -0-G33
or (ty = — 0-
km.
,IK = -0-08 km.
,/'/' = -0-0012 (lay
The final elements heromc
p = n-l'.):5()80 (lay
0-0
T = Julian Day 2.120.7(11-1488 + -001
A' = l(i-02 km. 1 0-50
± 0-37
7 =
13-
km.
a 8!n I
m^ sin^ i'
45.0(1(1 km.
= -0001 O
THE SPECTKOSfOPIC OKBIT OF 12 LACERl^E
89
No att('ini)t was made to (Ictcimiiio ('(•rontrioitv. The irsiduals wliieli
the individua! uhscrvatioii
Sivc wlicii n'i)i'cs('iitt'(l !)>• these elciiieiits
are
lahiihUed ill Table III. They were ohtaiiied iiraphically and thouffh ^iveii
to a teiitli of a kil
jiiieire are not in ficiierai so accurate! v (h'termin
Til
prohaliie error of a siiij^le ohserNatioii is .")S i<n
It seems to tlie writer tliat this is hirger tiiaii tlie character of the
e leiijith
siiectriuii would lead one to expect. Part of it may !ie due to tli
of the exposure lime, wiiich in l'.)i:{ was often one-lhird and sotiiet
-half the period. The I'.tl.') plat
plates on llie ;i\-eraii(. wci
(' expo>e(l less
iietHiies
1 l(
tl
un.
Th
lan olie-folirlh llie period hut, even so. the epoeli becomes uiicert
phases were not reihicrd lo the -un which would aller the residuals a lillh
tlioiigli not nuicii.
Hi:
••.,■
*•.;
There .seems to be a peculiar feature indicated by the measuros so far
made, which may ^o a Ion;; way loward e.xiilaininjj; the lan!;e i)rol)ab]e
I'rror. If a hifih velocity is obtained at i)o-itive maximum, the velocity at
the followinji minimum is
\ aries froni cvcle lo c\cl(
\'ery low. and r/cr rtrsa: thai is ti
le an
jilitude
In fif^iire 1 are plotted the results of
-onie ijidividual nights observations.
The velocities obtained on one night are desifjnated
t • be a distinct teiideiicv fi
alike, a
lid il
lere seems
or the re:_iduals at maximum and miiiii
luim to
have opposite signs. It would be interesting (o take series of plates with
an instrument winch would permit of a shoiler exposure, so that more plates
coulil be obl.uned covering one revolution.
Doiiiinif/ii Observatory,
Ottawa,
(»ciober. 101.').
it
no
inBl-ICATIONS OF THE DOMINinN OBSKHVATOHY.
•
Km.
,,n ®
«
»
• \
^
/
• \
^
\ «
.^
/
^
\
^^
o
\
V
® o
>
\ «l o
-K
® \
O .
/
1 (!)
®\ c
1 .
o /
e
O
-30
4
9
•
®
i®_
-*0
•
4
1
•
•
•3
Days
■1
TlUCHE I.
Km.
0«yt
1
o
1
1
9^
r
t
r
i
) 1
'
\
/
\
/
\
■ — ,
'\
\^
1
rN
ii
J
1
1
\
— —
, /
/
V
—
-\
r
\
3
J —
t'^—
2
J
\ I l..rc irv < 1 IIM- 'iK IJ l,V..RT.K,
THE SPECTROSCOPIC OUBIT OF 12 LACERT^.
91
Km.
+70
«)
1
j
®
O
•
9
«
+10
o
9
O
9
®9
©
9
3
3
>N
®
o
o
9
* O
o
9
O
A
r
fan — i
o
y
9
V 1 ®
-n
\
9
Cf
;
y
/ o-
O
9 \ [
\ '~
1
»9
o
/
a
9
o
-?.i
__ (
9 9
r
9
n
•1 \
1 9
®
9
V
1 o
9
' 9
\^
® 9
-n
,^
• 0,
/
9
®
^
g9
9
-J
(!
9
» o
9
D
i
-tr-T
®
-4il
^ <
9
—9
9
'\
9
?
9
*6
-W)
o
* —
i
o
1 '
1
i !
Days
OlIst.UHTIONS OK 11; l,A(Klirt:.
MiMin! U il-iii iilisiTvriliiins iin- rrpn-inlcil by two I'diiccnlnc iirrlrs.
OiiHwii, I'.M:), •• ■■ •• l«n crtlps, ihoiTtKrc imp tillr<l.
Oltriwa, I'llt, " " " ,„„. ,,|,.„ rir.'lr.
Oll:i«ii, I'.ll,'., ■• •• " one hiilf filliti cMrclc.
< 1
!r'