REPARTIDO NRO. 4 ESPECTROS ESTELARES. ESTRUCTURA Y

!#""%$&(')*"
+)%,-
. -,/
0)
132 46587:95;4=<+>@?A4=BCBC5ED4F?A>G4=9:4FH=IC4F9J>@4K5;BC5;4=HF7:4=9H=IL5MN?GIO9:H=IOD5PBRQND:5P?@58BL5EHF75PB<A4
HF7:STD:BC4)BC5?G4=BC5PH=I6V U 9WSX5P<@5ZY[BC7:STIC9 V <GIO\5P\^]`_ acb3
5 2 IBL5dSe5PfP9:IO>G7:\g5Ph< V BO7>i5d\:4jBL5d4=<+>@?G4FBCBC5K4=<lk mnYopoQ4F<A>GICST4e<G7qSX5P<G5grs4F9
79:IC\5t\:4=<\:4SX5P<@5P<< V BL5t?G4=< 2 h 2 N<+>@ICST4)BL5\4=9:<AIC\5P\dST4=\:IC5\:4BL5l4=<+>@?G4FBCBC5
Pu 2 "95v?G4=BC5PH=I6V U 9;\:4TBL5Ww V ?GSX5]x mzyE{P|dmzyE{}~ € <A4X\:IOH=4ƒ‚N„!…†ˆ‡3‰‹Š„ ‚†sŒŽ^T
4F<BL5WH V 9<A>i5t9>G4XD V BOIO>@?:V U D:IOH65Q!‘g’89M< V 9M4=BN4”“D V 9:4F9J>@4X’E4=B• U 9\:ICHF4lD V BOIO>G?V U D:IOH V <FQ
?A4=<AD4FHF>@I—–t5PSX4F9J>@4P*5j4FH=75tH=I3V U 9M\4l7:9˜fŽ5P<-IC\465PBrs5e>@4FSXD!4=?G5t>@7:?G5j&H V 9:<A>@5P9J>@4 2
4F<-7:9EH=5P< V D:5P?A>GICH=7BL5P?\:4?A4=BC5PH=I6V U 9D V BCI—>@?:V U D:ICH=5-4F>G4=?ASXIO9:4™4F984=<+>i5jH65t< V šrs4F9
w›79:H=I6V U 9v\:4=B,D!4=< V S V BC4FH=7:BC5P?#ST4=\:I VTœ ’j\:4 2 Q:‘’j9^
o 2 V 9:<AIC\:4F?G45PB^ V BH V S V 7:954=<+w›4=?G5ƒ\4)fJ5P<#D V BCI—>@? V D V \:4ƒ• U 9:\:ICHF49KmžoQ’eH V 9Y
<+>i5P9J>G4jŸm op¡J¢¤£ 13¥ }›¦ K465t9g5P\:4FS§tU5 <=¨ œ r›D4F< V S V BO4=H=7BL5P?)ST4=\:I V 2 m ¥ p© u Q
SX5P<G5< V BC5P?m 1 «ªP¡Žª8£ 16¥ b0bfŽ?=Q?@5P\:I V < V BC5P?m%©pªŽ©8£ 16¥ }s¬ H=SdN\:4FS§PU5 <FQ:<G4)<G5Ph!4
­ 7:4KD5P?G5M7:9®D V BOIO>G? V D V \:4˜• U 9:\:IOH=4do˜BC58?@5P¯^V U 9®4F9>G?G4KBL5P<ƒ\:4F9:<GIO\5P\:4F<jH=4F9>G?@5PB’
D? V ST4=\:I V 4=<ICfP75PB,5T¢t: 1 ¡
5 2 -4F>@4F?GSTIC9:4)BC5\:4=9<GIC\:5P\KHF4=9J>@?G5PBR
h 2 -4°>@4F?GSTIC9:4-BC5lD:?G4F<GI3V U 9dHF4=9J>@?G5PBR
H 2 -4F>@4F?GSTIC9:4BL5>@4FSXD!4=?G5t>@7:?G5lH=4=9J>G?@5PB
2 5 2 )5P?W7:9:5±4°“D:?A4=<AI3V U 9²D5P?@5¤4=B)?G5P\:I V \4˜7:9:5±4=<+w›4=?G5±\:4MD5P?+>3• U HF7:BL5t< ­ 74˜<A4
4F9:H=74=9J>@?G5d4F<A>i5th:BC4l<A4=f:U7 984FB(H=?AIO>@4F?GI V \:4=B('IC?AIL5PB] u ´³z"µm ¥ ¶X7:5PB(<G4F?WU5 4=B
?G5P\:I V \:4=B,D:? V > V Y0< V B^D5P?G5T·m 13¥Ž¥l¸ y;¹
h 2 IBL5;H V 9>G?@5PHFH=I6V U 9§4F– V BC7H=I V 95˜SX5P9J>@4F9:IC4F9:\ V –PU5 BOIC\ V 4=BH=?AIO>G4=?GI V \:4=B'-IC?AIL5PBQº¶
7:5PB,<G4F?ƒU5 4=B,?@5t\:I V 4F9K4FB,IC9:<+>i5P9J>@4\:4H V SXIO4=9:¯ V \:4BL5»w›7:<AI3V U 9‹¹¼rs½m 13¥P¾ ¸ y 2 ¢ 2 ¶¿)7À4ÀU H=5P9J>@IC\:5P\™\4À4F9:4=?Af• U 5BCIOh4F?@5P?=• U 54FB V BJ<GI<G4>@?G5P9:<+w V ?GSX5P?@5#> V \ V 4=9ÂÁ:IO4=?G? V ¹
r›<G7:fP4=?G4F9:H=IC5]7>@IOBCIO¯65P?ÀBL5fŽ?:tU5 ÃH65 1Ž1 Ä:QÅ7:9\5PST4=9J>i5PB<A>G? V 9 V S»’ 2
5 2 I^/&m 1 ¥ Q$´m ¥ ¥
h 2 ÆI/&m ¥ «ÇQ$&m ¥ po
1
© 2 -4l5PHF7:4=?A\ V H V 9;BL5XH=7:?+–P58ÈTÉZÊ=ÉPË0ÈTÉ3ÌPÍΈÏsÐ:ÑdÉJÒ°Ê3ÓZÔÕÐÆÏ[É\:4°>@4=?ASXIO95P?BL5jSX5P<@5e\4
BC5˜4F<A>@?A4=BOBL5˜Ç ¥ Ã7:H V »QH V 9 V HFIC4=9\ V ­ 7:4E<A7§D5P?G5PBL53ÖA4K4F<jICfŽ7:5PB5 ¥ 1 ªP×M’±<A7
SX5PfŽ9IO>@7\v5PD5P?A4=9J>@4tQ‹5T:po
Ç 2 -4°>@4F?GSTIC95P?NBC5)\:4=9:<AIC\5t\eST4=\:IC5\47:9:5Â4F<A>@?A4=BOBL54=95P9:5Âh:BC5P9:H=5 ­ 7:44=<<@5t>4=U BCI—>@4
\4 V >@?@5Q:4=9dh5P<A4™5ƒB V <\5t> V <<GICfP7:IC4F9>G4=<F]
V <4F<GD!4=HF>G? V <\:4BL54F<A>G?G4=BOBL5lD:?AIC9:HFICD5PB!’W\:4BL5l4F<A>@?A4=BOBL5<@5Z>4=U BOIO>G4)< V 9dICfŽ7:5PBC4F<=
5l\:4F9:<GIO\5P\dSX4F\:IL5\:4BC5ƒ4F<A>G?G4=BOBL5D:?AIC9:HFICD5tB^4=<\:4 ¥ u fŽ?=ÄH=SWØ b 5e\IOw›4=?A4=9:HFIL5T4=9J>@?A4BL5P<Se5tfŽ9:IO>G7:\:4F<5PD:5P?G4F9>G4=<)\:4™BL5T4=<A>G?G4FBCBL5XD:?GIO9:H=IOD5PB,’d\:4BL5
<G5t>4FU BCI—>@4-4F<IOfŽ75PB5 13¥ 5l?@5t¯,V U 9d\:4<G7:<SX5P<@5t<4F<\:4 u 5 1 ¡ 2 5P<4=<+>@?G4FBCBC5P<S®PU5 <H65tBCIC4F9J>@4=<’dSe5tH=IC¯=5P<™r 5P<\:4»BC5THFBL5P<A4™4F<GD!4=H°>@?@5tB(Ù 2 >@IO4=9:4F9
795TSX5P<G5TD:? V ST4=\:I V \4 uP¥ £ 13¥ b0bfP?’v795T–P4=B V H=IO\5P\KÚ 1 ¢;£ 13¥tÛ H=SdÄ< Ø} # 5P<
4F<A>G?G4=BOBL5P<\:4FB`>@IOD V \:4FBN V B >@IO4=9:4F9ESX5P<@5P<\:4HF4=?AH65e\:4 u £ 13¥ b0b-fP?’d–Ž4FB V H=IC\:5P\:4=<
Ú·©tl£ 16¥PÛ H=Sdp< Ø} 5P<4=<+>@?G4FBCBC5P<#S®PU5 <w›?=• U 5P<À’eD4 ­ 7:49Ü 5P<Âr›BL5P<\:4)H=BC5P<G4)4F<GD!4=HF>G?@5PB
k 2 >GIC4F9:4=9vSX5P<@5P<Ú 1 u £ 16¥ b0b fP?#’j–Ž4FB V H=IC\:5P\:4=<Ú½ÇP¡ƒ£ 13¥ Û HFSKÄ<°Ø}°
*4=9IC4=9\ V 4F9EH=7:4F9J>i5eBC5P<fŽ?@5P9\:4=<\:IOw›4F?G4=9H=IL5t<4F9J>@?G4™BL5P<SX5P<@5t<’W–P4=B V H=IO\5P\:4F<\4
BC5P<4F<A>@?A4=BOBL5P<FQNH V STD5P?G5P?»<A7:<l4=9:4F?Gf:• U 5P<lH=IO9À4FU >GICH=5P<=M`4F9:<@5t9:\ V 4=9q>4FU ?GSTIC9 V <™\:4WBL5
\IC<A>G?GIOh:7:H=I6V U 9d\:4»4F9:4=?Af• U 5P<D5P?G5eh V BCI—>i5P<\:4F9J>@? V \:4»7:9:5eH65ÝÖG5Q^¶6 ­ 7:4™H V 9H=BC7<GI3V U 9
BOBC4FfJ5J¹
ª 2 #5PBCHF7:BL5P?)BC5j<G7:SX5v\:4ƒBL5P<)SX5P<@5t<Â\4TBC5W4=<A>G?G4FBCBL5W\ V :h BC4T#5PD!4=BOBL5Q,<AIN4=BN<A4=STIC4ÖA4
SX56’ V ?\4Â<A7½V U ?Ah:IO>@54=<ICfP75PB,5 ¥ p¡J¢l"™:’W<G7dD4F?6• U V \ VlV ?Gh:I—>i5PBQ:5 ¥ u ¡J¢\:4Â5!9 Ü V 16¥J2 -4F>@4F?GSTIC95t?,BL5<G7:SX5\4ÀBC5P< Se5P<G5P< \:4BC54=<A>G?G4FBCBL5\ V hBC4N? V H=I3V U 9^Qt<AI4=BD4F?6• U V \ V
V ?Gh:I—>i5PB\:4<G7e<G5t>4FU BCI—>@4#?A4=<GD!4=H°> V 5BC5)4=<A>G?G4FBCBL5-D?GIC9H=ICD:5PB:4=<\:4oŽª5‹9 Ü V <(’l4=B<A4=STIC4ÖA4
SX56’ V ?\4ÂBC5ÞV U ?Gh:I—>i5Q 1 o ¥ "»
P1 1Ý2 5eÃfŽ7?@5vÇ ¥ S»7:4=<+>@?@5jHF75t>G? V 4=<AD4FHF>G? V <)4F<A>@4FBL5P?A4=<5P\4=S®PU5 <-\:4BC5P<BR• U 9:4=5P<\4
4FSXIO<GI6V U 9v\:4=B*ßIO4=?A? V D:? V \:7:HFIC\5P<4F9EBL5Ph V ?G5t> V ?AI V N<+>‹PU5 9KIC9:\:IOH65P\:5P<BL5ƒB V 9:fPIO>@7\:4=<
\4 V 9\5˜\:4FBÁ:IC4F?G? V àkK4F\:IC?TBL5P<ƒD V <GIOH=I V 9:4=<ƒ\:4d4=<+>i5P<XB[• U 9:465P<dr›\:4=<A\:4E7:9 V ?GIOfŽ4=9
5t?Gh:I—>@?@5t?GI V 2 ’ V h>G4=9:4F?7:95?G4FBL5PHFI3V U 94=9J>G?G4BC5P< B V 9fŽIO>G7:\:4=< \:4ÀBL5#w V ?ASe5]*áemãâŽä*³å3
,7:4Ff V ST4=\:IO?ÀBC5P<D V <AICH=I V 9:4F<À\:4BL5P<D:?GIO9:H=IOD5PBO4=<B[• U 9465P<\:4-B V <À4F<GD!4=H°>@? V <4=<A>G4=BC5P?G4F<
rs5eD5P?+>@IO?\:4FBSTIC<GS VeV ?GICfP4=9 2 ’E5PDBCICH=5P?BL5e?A4=BL5tH=I3V U 94=9H V 9J>@?G5P\5WD5P?G5eÁ5PBOBL5P?<G7<
B V 9:fŽI—>@7:\4=<\:4 V 9:\:5ƒH V ?G?A4=<AD V 9\:IC4F9>G4=<F
u
31 uŽ2 5ƒ>@5Ph:BL5ƒÇtoƒS»7:4=<+>@?@5ƒBL5lSX5PfŽ9:I—>@7:\vÙà’WB V <• U 9:\ICH=4F<\:4H V B V ?\:4 . ²oŽoŽÇPªQ
ST4=\IC\ V <Nw V > V 4FB°4FU HF>@?AICH=5PSX4F9J>@45Â>G?@56–4=U <#\:4\:I—w›4=?G4F9J>@4=<\:IL5tw›?G5PfŽSX5P<NH=4F9J>@?@5t\ V <4F9jBL5
fŽ5PBL5Z“IC5
5 2 #5PBCHF7:BL5t?j4=B-h?GICBOB V <G7:D!4=?+ÃH=IC5PB-ST4=\:I Vqæ rs4=9cSX5PfŽ9:I—>@7:\:4F<jD V ?W5P?AH V <A4=fŽ7:9\ V
HF75P\:?G5P\ V 2 D:5P?@5àH65t\5c79 V \:4¤B V <E\IL5tw›?G5PfŽSX5P<= . ?G5tÃH65t? æ 4F9½w›7:9:H=I6V U 9ž\:4=B
\I3PU5 ST4F>G? V ž\:4=B,\:IC5tw›?@5tfŽSe5Qƒj’ V h>@4F9:4=?7:9:5T?A4=BL5tH=I3V U 9W4=9J>@?A4 æ ’v
h 2 I4FBHFIC4=B V \:4w V 9:\ V >GIC4=947:9vh:?AICBCB V <G7:D!4=?+ÃH=IC5PB\:4 u o»Se5tfçP5P?AH=<Gè=Q¶-D5P?G5 ­ 74
\I3PU5 ST4F>G? V 4=Bh?GICBOB V \:4BL5™fŽ5PBL5Z“IC5Â< V h:?G4FD5P<G54=<A>G4-BR• U SXI—>@46¹8rs4°“Æ>G?@5PD V BL5t?ÀBC5™?G4FBL5PHFI3V U 9
4F9:H V 9>G?@5P\:5 2 H 2 ">@ICBOIC¯=5P?BL5ƒ?G4=BC5PH=I6V U 9E5t9>G4=?AI V ?D5P?G5e\:4F>G4=?ASXIO95P?BL5XSX5PfŽ9IO>@7\KIO9>G4=fŽ?G5P\5T\:4BL5
fŽ5PBL5Z“IC5
\ 2 . ?@5tÃH=5P?-Ù·H V 9J>@?G5eB V fŽQ‹’K\:4°>@4=?ASXIO95P?BL5TSe5PfP9:IO>G7:\E5P<AIC9J>‹V U >@ICH=5) V SXD5t?@5P?
H V 9dBL5SX5PfŽ9:I—>@7:\WÁ5tBCBL5t\54=9dH 2 1 o 2 Æ4jÁ5P9 V h:<G4F?A–t5P\ V HF4=?AH65\:4 uP¥Ž¥ 9 V –t5P<™4=9q97:4F<A>@?G5EfJ5PBC5Z“IL5Q,’MD5P?G5 1 ¢d\4
4FBCBC5P<w›7:4F? V 9M\:4F>G4=?ASXIO95P\5P<)<A7:<Â\:IC<+>i5P9:HFIL5P<Fƒ-4l4=<+>i5P<Â<G4ƒ4=9H V 9J>@?:V U ­ 7:4ƒBL5t<)S§PU5 <
h?GICBOBL5P9J>G4=<e>G4=9,• U 5P9²SX5PfŽ9IO>@7\:4=<v5Ph< V BO7>i5P<WÁ:5P<A>@5Þ7:9cS®ZU5 “ICS V \:4EYªÄ:QH V 9c7:9
D? V ST4=\:I V \:4-Y¡ ¥Té´¥ p¡
N9vBL5™fJ5PBL5ݓIC5»kêo 1 Á5P9v<GIO\ VV h:<A4=?+–P5t\5P< 1 ÇP©9 V –t5P<F 5»ÃfŽ7:?G5 13¥ ¡S7:4F<A>G?@5BL5
\IC<A>G?GIOh:7:H=I6V U 9W\:4<G7<SX5PfŽ9:I—>@7:\4=<S®ZU5 “ICSX5P<=
5 2 N? V h5t?#<GI4=<A>@5lH=7:?+–P54F<H V STD5t>GICh:BO4H V 9v7:95\:IO<A>G?GICh7:H=I6V U 9efJ5t7:<G<AIL5P95<AICSTICBC5P?
5lBC5P<\:4BL5P<9 V –t5P<fJ5tB3PU5 H°>@ICH=5P<=r-4=<+–ÆIL5PHFI3V U 9v4=<+>‹PU5 9\5P? ¥ p¡ƒSX5Pf 2 h 2 -4=\:7:HFIC?-BC5jSe5tfŽ9:IO>G7:\85PD:5P?G4F9>G4ƒSX4F\:IL5e\4lBL5P<-9 V –t5P<4F9¼këo 1 ’ V h>@4F9:4=?)<A7
\IC<A>@5P9:HFIL5D V ?H V STD5P?G5PH=I6V U 9vH V 9vBC5P<9 V –t5P<fJ5PB3tU5 HF>@IOH65P<F
o