• No results found

3-Dimensional dynamics of the galactic bulge Soto Vicencio, M.H.

N/A
N/A
Protected

Academic year: 2021

Share "3-Dimensional dynamics of the galactic bulge Soto Vicencio, M.H."

Copied!
25
0
0

Bezig met laden.... (Bekijk nu de volledige tekst)

Hele tekst

(1)3-Dimensional dynamics of the galactic bulge Soto Vicencio, M.H.. Citation Soto Vicencio, M. H. (2010, March 24). 3-Dimensional dynamics of the galactic bulge. Retrieved from https://hdl.handle.net/1887/15120 Version:. Corrected Publisher’s Version. License:. Licence agreement concerning inclusion of doctoral thesis in the Institutional Repository of the University of Leiden. Downloaded from:. https://hdl.handle.net/1887/15120. Note: To cite this publication please use the final published version (if applicable)..

(2) CHAPTER 2. Radial Velocities for 6 bulge fields: Procedures and results % +CHC * % *=7< # #I=>?9B HC 69 GI6A=HH98 ,<9 89H5=@98 GHFI7HIF9 C: H<9 ;5@57H=7 6I@;9 GH=@@ F9A5=BG IB79FH5=B ,<9 GHFCB; 8=:7I@H=9G C: C6H5=B=B; C6G9FJ5H=CBG C: GH5FG =B H<9 ;5@57 H=7 6I@;9 <5J9 <=B89F98 H<9 57EI=G=H=CB C: 5 ?=B9A5H=7 F9DF9G9BH5H=CB :CF H<9 =BB9F ?D7 C: H<9 %=@?M /5M ,<9 C6G9FJ5H=CB C: H<9 8 ?=B9 A5H=7G =B G9J9F5@ @CK :CF9;FCIB8 9LH=B7H=CB K=B8CKG 75B GC@J9 H<=G DFC6@9A /9 <5J9 89J9@CD98 5 B9K H97<B=EI9 K<=7< 7CA6=B9G DF9 7=G9 GH9@@5F +, DCG=H=CBG 5B8 DFCD9F ACH=CBG K=H< =BH9;F5@ 9@8 GD97 HFCG7CDM =B CF89F HC C6H5=B F9@=56@9 8 GH9@@5F ?=B9A5H=7G =B 7FCK898 9@8G C: H<9 ;5@57H=7 79BH9F !B 588=H=CB K9 DF9G9BH F9GI@HG IG=B; H<9 B9K H97<B=EI9G :CF G=L 9@8G =B CIF DFC>97H  G=;B=75BH J9FH9L 89J= 5H=CB <5G 699B :CIB8 =B GCA9 C: H<9 9@8G =B 5;F99A9BH K=H< DF9J=CIG 89H9FA=B5H=CBG ,<=G F9GI@H 7CBFAG H<9 DF9G9B79 C: 5 GH9@@5F 65F =B H<9 ;5@57H=7 6I@;9.

(3) . =A9BG=CB5@ MB5A=7G C: H<9 5@57H=7 I@;9.

(4). ! &,*'-,!'&. ,<9 %=@?M /5M 6I@;9 =G H<9 B95F9GH 9L5AD@9 C: 5 6I@;9 GD<9FC=85@ DCDI@5H=CB H<5H K9 75B C6G9FJ9 !HG 7@CG9B9GG 5@@CKG IG HC F9GC@J9 GH9@@5F DCDI@5H=CBG 5B8 H<9 5GGC7= 5H98 ?=B9A5H=7G GCA9H<=B; K<=7< =G BCH DCGG=6@9 =B 9LH9FB5@ ;5@5L=9G J9B H<CI;< A5BM 85H5 <5J9 699B ;5H<9F98 5 89H5=@98 IB=98 D=7HIF9 C: H<9 ;5@57H=7 6I@;9 =B7@I8 =B; 56IB85B79G GH9@@5F DCDI@5H=CBG 5B8 ?=B9A5H=7G =G :5F :FCA 69=B; 7CAD@9H98 'B9 C: H<9 A5=B 8=:7I@H=9G =G H<9 @C75H=CB C: H<9 +IB =BG=89 H<9 8=G? 8IGH @5M9F K<=7< @=A=HG C6G9FJ5H=CBG HC 5 :9K K=B8CKG K<9F9 H<9 :CF9;FCIB8 8IGH 9LH=B7H=CB =G F9@5H=J9@M @CK !B 588=H=CB DCDI@5H=CBG =B H<9G9 K=B8CKG 5F9 DFC>97H98 CB HCD C: 957< CH<9F 7CAD@=75H=B; H<9 5B5@MG=G =G? 5B8 6I@;9 7CADCB9BHG CJ9F@5D =B H<9 7C@CF A5;B=HI89 8=5;F5A GD97=5@@M B95F H<9 HIFBC::  C@HNA5B 9H 5@

(5)  <5AD9F=B; 5 G9 @97H=CB 65G98 CB D<CHCA9HF=7 7F=H9F=5 5@CB9 !B GD=H9 C: H<9G9 @=A=H5H=CBG =ADCFH5BH =B:CFA5H=CB <5G 699B ;5H<9F98 CJ9F H<9 M95FG 'B9 C: H<9 D=CB99F=B; GHI8=9G C: H<9 ?=B9A5H=7G C: H<9 ;5@57H=7 6I@;9 K5G H<5H C: +D59B<5I9F 9H 5@ 

(6)   K<C A95GIF98 DFCD9F ACH=CBG :CF ∼ GH5FG :FCA D<CHC ;F5D<=7 D@5H9G C6H5=B98 =B

(7)  5B8

(8)  ,<=G DFCD9F ACH=CB G5AD@9 K5G H<9 65G=G :CF GI6G9EI9BH 56IB85B79 5B8 F58=5@ J9@C7=HM GHI8=9G C: H<9 CF=;=B5@ DFCD9F ACH=CB G5A D@9 ,9FB8FID 9H 5@

(9)  +58@9F 9H 5@

(10)  2<5C 9H 5@ 

(11)  7CA6=B98 H<9 F9GI@HG C: H<9G9 GHI8=9G K=H< H<CG9 C6H5=B98 DF9J=CIG@M 6M *=7< 

(12) 

(13)   5B8 7CAD=@98 5 GA5@@ GI6G5AD@9 C:  # =5BHG K=H< 8 ?=B9A5H=7G 5B8 56IB85B79G !B GD=H9 C: =HG GA5@@ G=N9 H<9 GI6G5AD@9 G<CK98 5 G=;B=75BH J9FH9L 89J=5H=CB 5 G=;B5HIF9 C: 65F@=?9 ?=B9A5H=7G ,<=G F9GI@H <5G F979BH@M 699B 7CBFA98 K=H< 5 @5F;9F G5AD@9 C: ∼ GH5FG H<=G H<9G=G 7<5DH9F  89 .5I7CI@9IFG 

(14)  <58 CF=;=B5@@M GI;;9GH98 H<5H CIF ;5@57 H=7 6I@;9 K5G 57HI5@@M 65FF98 65G98 CB H<9 G=A=@5F=HM C: =HG GD=F5@ GHFI7HIF9 K=H< CH<9F ;5@5L=9G K=H< GHFCB; 65FG &9J9FH<9@9GG 8=F97H GH9@@5F G=;B5HIF9G C: H<9 65F@=?9 GHFI7HIF9 <58 BCH 699B :CIB8 69:CF9 !B 588=H=CB HC AC89@G C: H<9 GH9@@5F 8=GHF=6IH=CB 9 ; 2<5C 9H 5@

(15) 5 ;5G C6G9F J5H=CBG 5B8 <M8FC8MB5A=75@ AC89@G 5@GC <5J9 699B IG98 HC GHI8M H<9 ;5@57H=7 6I@;9 9 ; B;@A5=9F  9F<5F8

(16)  %5BM C: H<9G9 AC89@G F9@M CB H<F99 8=A9BG=CB5@ 89DFC>97H=CBG C: H<9 ;5@57H=7 6I@;9 89F=J98 :FCA H<9 ' !* =A5;9G K9? 9H 5@

(17)  K<CG9 F9GI@HG G<CK98 5GMAA9HF=9G 7CBG=GH9BH K=H< 5 GH9@@5F 65F =B H<9 ;5@57H=7 79BH9F J9B H<CI;< 5@@ 5B5@MG9G 5;F99 CB H<9 FCI;< CF=9BH5H=CB C: H<9 65F 7CAD@9H9 5;F99A9BH 56CIH H<9 J5@I9G C: H<9 D5F5A9H9FG K<=7< KCI@8 89B9 H<=G 65F GI7< 5G FCH5H=CB5@ 65F D5HH9FB GD998 CF DCG=H=CB 5B;@9 <5G BCH 699B F957<98 M9H CF 9L5AD@9 J5@I9G :CF H<9 5B;@9 69HK99B H<9 65FTG A5>CF 5L=G 5B8 CIF @=B9 C: G=;<H HC H<9 ;5@57H=7 79BH9F <5J9 F5B;98 :FCA ∼ ◦ =B H<9 FGH ;5@57H=7 EI58F5BH 9 ; =BB9M 9H 5@

(18) 

(19)  HC ◦ =B 5 F979BH B9K 89H9FA=B5H=CB 6M 9B>5A=B 9H 5@   IG=B; +D=HN9F =B:F5F98 GH5F 7CIBHG -B89FGH5B8=B; H<9 6I@;9 ?=B9A5H=7G F9EI=F9G IB89FGH5B8=B; H<9 ;F5J=H5H=CB5@ DC H9BH=5@ H<5H 8F=J9G H<9 CF6=HG #I=>?9B  <9B79:CFH< #  'B79 H<9 ?=B9A5H=7G 5F9 IB89FGHCC8 H<9M 75B 69 7CFF9@5H98 K=H< GH9@@5F DCDI@5H=CB =B:CFA5H=CB HC 6I=@8 5 D=7 HIF9 C: H<9 ;5@5LM 9JC@IH=CB 5B8 6I@;9 :CFA5H=CB G79B5F=C !B CF89F HC =ADFCJ9 CIF ?BCK@98;9 C: H<9 GH9@@5F ?=B9A5H=7G =B H<9 6I@;9 F9;=CB K9 <5J9 9A65F?98 CB 5 DFC>97H HC C6H5=B H<F998=A9BG=CB5@ J9@C7=H=9G :CF 5 @5F;9 G5AD@9.

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l 5B8 b 9B79 H<9 +, 5F7<=J9 <5G DFCJ=898 IG K=H< FGH 9DC7< C6G9FJ5H=CBG =B G=L 9@8G 5H l ∼ 0 5B8 l > 0 =B 588=H=CB K9 <5J9 9GH56@=G<98 :CIF 9@8G 5H l < 0 =B CF89F HC H5F;9H 6CH< 9B8G G=89G C: H<9 65F 6I@;9 ,<9 ;C5@G :CF 957< 9@8 5F9 H<9 57EI=G=H=CB C: 7C@CF A5;B=HI89 8=5;F5AG 577IF5H9 5GHFCA9HFM 5B8 F58=5@ J9@C7=H=9G :CF 5G A5BM GH5FG 5G DCGG=6@9 =;IF9

(21) G<CKG 5@@ H<9 9@8G :CF H<=G DFC>97H +, 5F7<=J9 =A5;9G K9F9 DF=A5F=@M IG98 HC G9H FGH 9DC7< DFCD9F ACH=CB 9LDCGIF9G =B G9J9F5@ @CK 9LH=B7H=CB 6I@;9 F9;=CBG 7@CG9 HC H<9 ;5@57H=7 A=BCF 5L=G 5B8 5H DCG=H=J9 @CB;=HI89G ,<9G9 =B=H=5@ 9@8G K9F9 7CA D@9A9BH98 ACF9 F979BH@M K=H< C6G9FJ5H=CBG =B :CIF ACF9 9@8G 5H B9;5H=J9 @CB;=HI89G ,<IG H<=G DFC>97H GHF5H9;=75@@M GD5BG 5 K=89 F5B;9 C: 6I@;9 @C75H=CBG G5AD@=B; 5 G=;B=: =75BH GH9@@5F DCDI@5H=CB 5H H<9 79BH9F 5B8 6CH< G=89G C: H<9 6I@;9 65F CBG9EI9BH@M H<9 DFCD9F ACH=CB F9GI@HG DI6@=G<98 =B #* 5B8 #  F9DF9G9BH H<9 FGH =ADCFH5BH D=979 C: ?=B9A5H=7 =B:CFA5H=CB CB H<=G DFC>97H K<=7< K9 7CBH=BI9 <9F9 ,<9 7CAD@9H9 +, DFC;F5AA9 89G7F=698 69:CF9 K<=7< DC=BHG HC DFCD9F ACH=CBG D<CHCA9HFM 5B8 D5F5@ @5L 8=GH5B79G <5G 699B ACF9 F979BH@M 7CA6=B98 K=H< 5 GD97HFCG7CD=7 .$, DFC;F5AA9 =B H<9 G5A9 9@8G H<=G GD97HFCG7CD=7 =B:CFA5H=CB 5B8 H<9 H97<B=EI9G =BJC@J98 5F9 H<9 GI6>97H C: H<=G D5D9F K<9F9 ,56@9

(22) G<CKG H<9 7CCF8=B5H9G C: 957< 9@8.

(23) . =A9BG=CB5@ MB5A=7G C: H<9 5@57H=7 I@;9. Figure 2.1 =9@8G =B H<9 5@57H=7 I@;9 C6G9FJ98 :CF H<=G DFC>97H GID9F=ADCG98 CB 5B CDH=75@ A5D :FCA @CB;=HI89 + ◦ HC  ◦  5B8 @5H=HI89 

(24) ◦ HC +

(25) ◦ /<=H9 5B8 ;F9M 7=F7@9G 7CFF9GDCB8 HC 9@8G :CF K<=7< DFCD9F ACH=CB 5B8 F58=5@ J9@C7=HM A95GIF9A9BHG <5J9 699B 7CAD@9H98 5H5 G9HG :CF H<9 :CIF 9@8G 5H B9;5H=J9 @CB;=HI89G ;F9M GEI5F9G <5J9 BCH 699B 7CAD@9H98 GC :5F.  2.3.1. ' +*.,!'&+ & (*'-*+ Proper motions. =FGH 9DC7< D<CHCA9HF=7 C6G9FJ5H=CBG K=H< /( :CF 5@@ H<9 9@8G IG98 =B H<=G D5D9F K9F9 C6H5=B98 :FCA H<9 I66@9 +D579 ,9@9G7CD9 85H5 5F7<=J9 !B H<9 75G9 C: H<9 H<F99 9@8G 7@CG9 HC H<9 ;5@57H=7 A=BCF 5L=G B95F l = ◦  G97CB8 9DC7< C6G9FJ5H=CBG CJ9F 5 H=A9 65G9@=B9 C:  M95FG <5J9 F9GI@H98 =B 577IF57=9G 69HH9F H<5B

(26) A5G MF K<=7< 7CF F9GDCB8G HC 9FFCFG 69@CK  ?A G97 5H H<9 8=GH5B79 C: H<9 6I@;9 G=;B=75BH@M GA5@@9F H<5B H<9 J9@C7=HM 8=GD9FG=CB C: H<9 6I@;9 C:

(27) ?A G97 J9B @CB;9F H=A9 65G9@=B9G :CF H<9 9@8G 5H DCG=H=J9 @CB;=HI89G K9F9 IG98  M95FG 5G ,56@9

(28) G<CKG =FGH 5B8 G97CB8 9DC7<G K9F9 H5?9B K=H< /( :CF 9@8G 7@CG9 HC H<9 ;5@57H=7 A=BCF 5L=G 7CB J9FG9@M 9@8G 5H DCG=H=J9 @CB;=HI89G IG98 5 7CA6=B5H=CB C: /( 5B8 + :CF FGH 5B8 G97CB8 9DC7< F9GD97H=J9@M ,<9 @5HH9F 9@8G H<IG <58 HC =B7@I89 GA5@@ 8=::9F9B79G =B H<9 DFC798IF9 HC H5?9 =BHC 577CIBH H<9 =BGHFIA9BH 7<5B;9 9 ; H<9 G<95F=B; C: + =A5;9G K=H< F9GD97H HC /(  ,56@9

(29) G<CKG 9DC7<G 5B8 DCG=H=CBG C: H<9 DFCD9F ACH=CB 85H5 K=H< /( 5B8 + (FCD9F ACH=CBG K9F9 A95GIF98 IG=B; 5 AC8=75H=CB C: H<9 B89FGCB  #=B;   DFC798IF9 K<=7< 7CBG=GHG C: 5 7CA6=B5H=CB C: (+ F97CBGHFI7H=CB 5B8 (+ 7CF9 HH=B; #*   ACF9 89H5=@98 577CIBH 56CIH H<9 DFCD9F ACH=CB A95GIF9A9BHG 75B 69 :CIB8 =B #* 5B8 =H K=@@ BCH 69 F9D95H98 <9F9. 2.3.2. Radial Velocities. ,<9 DFC798IF9 HC C6H5=B H<9 GD97HFIA C: 957< GH5F =B H<9G9 7FCK898 9@8G 7CBG=GHG C: HKC A5=B GH9DG H<9 9LHF57H=CB C: H<9 GD97HF5 :CF 957< 69F D=L9@ =B H<9 !- 9@8 5B8.

(30) *58=5@ .9@C7=H=9G :CF  6I@;9 9@8G (FC798IF9G 5B8 F9GI@HG. . Figure 2.2 =B8=B; 7<5FH :CF CB9 C: CIF 9@8G Sagittarius-I IG=B; 5B =A 5;9 :FCA %++ 57< GA5@@ GEI5F9 GC@=8 @=B9 7CFF9GDCB8G HC 957< CB9 C: H<9 .!%'+ !- 9@8G 5G<98 GEI5F9G 7CFF9GDCB8 HC ( /  / 5B8 / +, 9@8G GID9F=ADCG98 CB H<9 G5A9 =A5;9. H<9 9LHF57H=CB C: H<9 GH5F GD97HF5 :FCA H<9 !- 85H5 7I69 IF=B; H<9 G97CB8 GH9D K9 K=@@ 7CA6=B9 H<9 GD97HFCG7CDM K=H< H<9 =B:CFA5H=CB M=9@898 6M +, =A5;=B; ,<9 .$, .!%'+ !BH9;F5@ =9@8 -B=H !- <5G 5 S× S 9@8 C: J=9K =B <=;< F9G C@IH=CB * ∼   K<=7< 5@@CKG GD97HF5 HC 69 H5?9B CB 5  ×  ;F=8 G=AI@H5B9CIG@M ,<IG H<=G =BGHFIA9BH 5@@CKG HC H5F;9H 5 <=;< BIA69F C: 6I@;9 GH5FG =B 9J9FM 9LDCGIF9  K=H< 5 <=;< GD97HF5@ 577IF57M 5 GD97HF5@ 8=GD9FG=CB C:   D=L9@ K<9F9 H<9 6@I9. Table 2.1 *58=5@ .9@C7=HM 5B8 (FCD9F%CH=CB =9@8G. =9@8 (% DC7< 5589TG /=B8CK

(31)  I;

(32)  +9D I; +;F!

(33)  I; I; & 

(34)  +9D I; =9@8 

(35)  "I@  "I@ =9@8 

(36)  %5M  "I@ =9@8

(37) 

(38)  +9D  "I@. (% !BGHFIA9BH /( /( /( /( /( /( /( /( + / /( + / /( + /. @6 

(39)

(40)   . α, δ " 

(41)  

(42)    

(43) . 

(44)   .

(45)     

(46)

(47) .   

(48) .

(49) 

(50)

(51)  

(52)  .   

(53) .

(54) 

(55)   

(56)  .  

(57)   .

(58)    

(59) 

(60) .     .

(61)      

(62).

(63) . =A9BG=CB5@ MB5A=7G C: H<9 5@57H=7 I@;9. Figure 2.3 .9@C7=HM 9@8 :CF CB9 C: CIF !- C6G9FJ5H=CBG =B 5589T K=B8CK ,<9 J9@C7=HM :CF 957< D=L9@ 69F <5G 699B 75@7I@5H98 IG=B; 7FCGG7CFF9@5H=CB K<9F9 957< 69F 7CFF9GDCB8G HC S ,<9 .!%'+!- =BGHFIA9BH 5@@CKG 7@95F@M HC 8=GH=B;I=G< 69HK99B 58>579BH GH5FG K=H< 8=::9F9BH ?=B9A5H=7G Table 2.2 +IAA5FM C: *58=5@ .9@C7=HM '6G9FJ5H=CBG . =9@8 5589TG /=B8CK +;F! &  =9@8  =9@8  =9@8

(64) .

(65) st FIB     . nd FIB      

(66) . rd FIB        . ,CH5@ !- =9@8G. +H5FG K=H< *58 .9@.

(67) 

(68) 

(69) 

(70)

(71) 

(72) .      .  /9 IG98 H<=G =BGHFI @H9F IG98 <5G 5 K5J9@9B;H< F5B;9 GD5BB=B; :FCA 

(73)  HC   A9BH HC H5F;9H CIF +, 9@8G K<=7< 75B 957< 69 7CJ9F98 6M

(74)  .!%'+ DC=BH=B;G  D9F / 7<=D 5B8

(75) D9F ( 5G =;IF9 =@@IGHF5H9G :CF +5;=HH5F=IG! 57< !- DC=BH =B; K5G 9LDCG98 :CF ×

(76) G97  K<=7< <5G 5@@CK98 IG HC F9GC@J9 5DDFCL=A5H9@M  GH5FG D9F !- 9@8 ,<9 GD97HF5 M=9@8  km s−1 F58=5@ J9@C7=HM DF97=G=CB K<=7< =G K9@@A5H7<98 HC H<9 HF5BGJ9FG9 J9@C7=HM 577IF57M :FCA CIF DFCD9F ACH=CBG 69HH9F H<5B

(77) mas/yr 9EI=J5@9BH HC ∼ km s−1 5H  ?D7 8=GH5B79 5B8 GI:7=9BH HC F9GC@J9 H<9 J9@C7=HM 8=GD9FG=CB =B H<9 79BHF5@ D5FHG C: H<9 5@5LM K<=7< =G 56CIH

(78) km s−1 !B 588=H=CB HC H<9 F9;I@5F G7=9B79 =A5;9G 7CBH5=B=B; H<9 =B:CFA5H=CB 56CIH CIF G=L +, 9@8G K9 =B7@I898 F9;I@5F C6G9FJ5H=CBG C: 85F? 6I@;9 F9;=CBG HC GI6GHF57H H<9A :FCA H<9 G7=9B79 =A5;9G 5G G?M K9 K=@@ F9:9F HC H<=G @5H9F =B H<=G G97H=CB +H5B85F8 GH5FG K9F9 C6G9FJ98 5G K9@@ :CF IG9 5G H9AD@5H9G =B H<9 7FCGG7CFF9@5H=CB DFC79GG :CF H<9 89H9FA=B5H=CB C: H<9 J9@C7=H=9G ,<9 CJ9F5@@ C6G9FJ5H=CB H=A9 :CF 5@@ H<9 GD97HF5@ C6 G9FJ5H=CBG K5G

(79)   5B8  <CIFG :CF CIF H<F99 C6G9FJ=B; FIBG F9GD97H=J9@M ,56@9 GIAA5F=N9G H<9 .!%'+ !- C6G9FJ5H=CBG :CF H<9 G=L 9@8G DF9G9BH98 =B H<=G D5D9F !B ,56@9 H<9 BIA69FG IB89F 9J9FM RFIBS 7C@IAB 7CFF9GDCB8 HC H<9 BIA69F C: !9@8G C6G9FJ98 =B H<5H FIB @@ 85H5 K5G H5?9B =B G9FJ=79 AC89 K=H< G99=B; 7CB8=H=CBG 7CBGHF5=B98 5H 5 A5L=AIA C: S.

(80) *58=5@ .9@C7=H=9G :CF  6I@;9 9@8G (FC798IF9G 5B8 F9GI@HG. . Figure 2.4 +H9DG 8IF=B; H<9 DFC79GG HC 6I=@8 5 GH5F GD97HFIA :FCA H<9 GD97HF5@ 7I69 ,<9 HCD @9:H ;IF9 7CFF9GDCB8G HC CB9 C: CIF C6G9FJ5H=CBG K=H< +, / =B 5589TG K=B8CK H<9 K<=H9 GEI5F9 7CFF9GDCB8G HC H<9 5F95 7CJ9F98 6M CB9 C: H<9 .!%'+ !- =A5;9G HCD F=;<H !B H<9 !- 9@8 H<9 FGH EI58F5BH =G 9B7@CG98 =HG F9GD97H=J9 7CBJC@J98 =A5;9 DFC8I798 8IF=B; H<9 897CBJC@IH=CB DFC79GG HC 7<97? H<9 89H97H=CB C: GH5FG =B H<9 FGH EI58F5BH 5DD95F 5H H<9 6CHHCA F=;<H =B5@@M GCA9 9L5AD@9G C: H<9 GD97HF5 9LHF57H98 6M H<=G DFC79GG 5F9 G<CKB 5H H<9 6CHHCA @9:H. Data cube organization and Radial velocity measurements .!%'+ !- F5K 85H5 5F9 7CAD@9L HC F98I79 5B8 75@=6F5H9 =69F GD97HF5 9LHF57H=CB K5G 75FF=98 CIH IG=B; H<9 +' D=D9@=B9 :CF .!%'+ !- 85H5 (FC;F5AG +&'

(81) 5B8

(82). 5J5=@56@9 5H <HHD. KKK 9GC CF; C6G9FJ=B; ;5G;5BC.

(83) . =A9BG=CB5@ MB5A=7G C: H<9 5@57H=7 I@;9. Figure 2.5 =B8=B; 7<5FH C: CB9 C: CIF 85F?6I@;9 9@8G 7=F7@9 =B H<9 A=8 8@9 CJ9F 5 %++ =A5;9 5F?6I@;9 9@8G <5J9 699B IG98 8IF=B; H<9 G?M GI6HF57H=CB =B .!%'+ !- 9@8G. +'*0 K9F9 IG98 HC A5B5;9 H<9 .!%'+ !- F97=D9G 9H5=@G 56CIH A9H<C8G 5B8 DFC798IF9G C: H<9 F97=D9G 75B 69 :CIB8 =B .!%'+ D=D9@=B9 -G9FTG I=89 5B8 5G;5BC -G9FTG %5BI5@ ,<9 F97=D9G IG98 8IF=B; CIF DFC79GG=B; K9F9 vmifucalib 5B8 vmifuscience ,<9 B5@ DFC8I7H C: H<9 .!%'+ !- F97=D9G 5F9 H<9 GD97HF5 9LHF57H98 5B8 K5J9 @9B;H< 75@=6F5H98 =B CB9 =A5;9 H<5H =B7@I89G 5@@ H<9 GD97HF5 :CF 957< EI58F5BH =B H<9 !- 9@8 B =ADCFH5BH DFC6@9A HC 69 7CBG=89F98 =B GD97HFCG7CD=7 F98I7H=CB =G F9@5H98 HC H<9 G?M GI6HF57H=CB K<=7< <5G BCH 699B =AD@9A9BH98 6M H<9 .!%'+ D=D9@=B9 .!%'+ (=D9@=B9 -G9FTG I=89  

(84)

(85)  /9 <5J9 HF=98 HKC 5DDFC57<9G ,<9 FGH =G 65G=75@@M H<9 G5A9 F97CAA9B898 6M H<9 .!%'+ (=D9@=B9 -G9FTG I=89 /9 HCC? H<9 GD97HF5 K=H< @CK9GH G=;B5@ D9F EI58F5BH K<=7< A95BG  C: H<9 HCH5@ 5B8 5J9F5;98 H<9A H5?=B; 75F9 HC F9>97H 8958 69FG ,<9 7CA6=B98 GD97HFIA K5G 7CBG=89F98 5G G?M 5B8 GI6 HF57H98 :FCA H<9 F9GH C: H<9 69FG ,<=G K5M C: DFC7998=B; =G 9LHF9A9@M F=G?M 5B8 7CI@8 7<5B;9 H<9 F9GI@HG H<5H K9 G99? 6M GI6HF57H=B; 5 IL @9J9@ HCC <=;< CF HCC @CK :FCA H<9 F98I798 GD97HF5 ,<9 G97CB8 A9H<C8 =BJC@J9G 9LDCGIF9G C: B95F6M <=;<@M 9LH=B7H98 T85F? 6I@;9T 9@8G K<CG9 GD97HF5 5DDFCDF=5H9@M G75@98 A=A=7 H<9 G?M 7CBHF=6IH=CB HC H<9 GH9@@5F 9@8G 5G =;IF9  G<CKG CH< DFC79GG9G K9F9 9LH9BG=J9@M H9GH98 HC 7<97? H<9=F =BI9B79 CB CIF F58=5@ J9@C7 =HM F9GI@HG K9 :CIB8 BC G=;B=75BH 8=::9F9B79G :CF 6CH< DFC798IF9G HMD=75@@M 69@CK  km s−1 =B H<9 B5@ J9@C7=HM A95GIF9A9BHG D9F 69F =J9B H<9 F9@=56=@=HM C: CIF 9LHF57 H=CB K9 <5J9 DF9:9FF98 HC IG9 H<9 G?M 9LHF57H=CB 6M 85F? 9@8G =B CIF 9@8G 'B79 H<9 GD97HF5 K9F9 F98I798 K9 5GG9A6@98 H<9A =BHC GD97HF5@ 85H5 7I69G !B 588=H=CB HC H<9 F9;I@5F 75@=6F5H=CBG K9 DFC8I798 :CF 957< !- 9@8 5 F9GDCBG9 A5D HC 7<97? H<9 BCFA5@ 69<5J=CF C: H<9 69FG H<FCI;< H<9 9@8 958 69FG CF @CGH HF579G 5F9 95G=@M <=;<@=;<H98 =B H<=G K5M ,<9 @5GH GH9D =G H<9 F58=5@ J9@C7=HM A95GIF9A9BH D9F 69F =B 957< !- 9@8 ,<9 A95GIF9A9BH C: F58=5@ J9@C7=H=9G K5G A589 =B 5@@ 75G9G IG=B; 5 7FCGG 7CFF9@5H=CB IG. . 5J5=@56@9 5H <HHD. KKK 9GC CF; C6G9FJ=B; 7D@ 8CKB@C58 <HA@ 5J5=@56@9 5H <HHD. KKK 9GC CF; C6G9FJ=B; ;5G;5BC J=ACGD=D9F97=D9G <HA@.

(86) *58=5@ .9@C7=H=9G :CF  6I@;9 9@8G (FC798IF9G 5B8 F9GI@HG. . =B; H<9 !* H5G? fxcor ,CBFM  5J=G

(87)  K=H< 5 H9AD@5H9 GH5B85F8 GH5F 9:CF9 H<9 7FCGG 7CFF9@5H=CB GCA9 NCB9G C: H<9 GD97HF5 K9F9 A5G?98 :CF =BGH5B79 H<9 5HACGD<9F=7  CF H<9 =BH9FGH9@@5F 56GCFDH=CB &5 @=B9G 5H    9A=GG=CB @=B9 8I9 HC '! 5H    ,<9 @5HH9F @=B9G 5F9 D5FH=7I@5F@M GHFCB; =B #  !!! =5BHG 5B8 75B 95G=@M 6=5G H<9 7CFF9 @5H=CB K=H< CIF H9AD@5H9 HC 75@7I@5H9 J9@C7=H=9G CF 5 DCGG=6@9 GD97HF5@ HMD9 7@5GG=75H=CB B 9L5AD@9 C: H<9 J9@C7=HM 9@8 75@7I@5H98 K=H< H<9 DFC798IF9 <9F9 89G7F=698 :CF CB9 C: CIF !- 9@8G =B 5589TG K=B8CK 5DD95FG =B =;IF9  5B8 7@95F@M G<CKG 8=GH=B7H 7C@CF98 NCB9G K<=7< 7CFF9GDCB8 HC 8=::9F9BH GH5FG 5H 8=::9F9BH J9@C7=H=9G LHF57H=B; H<=G =B:CFA5H=CB CDH=A5@@M =G H<9 GI6>97H C: H<9 B9LH G97H=CB Deconvolution G G<CKB =B =;IF9  H<9 6I@;9 9@8G 5F9 J9FM 7FCK898 5B8 H<9F9:CF9 5 F9@=56@9 H97< B=EI9 HC 7CFF97H !- GD97HF5 7I69G :CF 6@9B8=B; =G 56GC@IH9@M B979GG5FM CFHIB5H9@M CIF +, =A5;9G 5@@CK IG HC ?BCK DF97=G9@M K<9F9 H<9 GH5FG 5F9 ,<=G =B:CFA5H=CB A5?9G :95G=6@9 H<9 CDH=A5@ 9LHF57H=CB C: GH5F GD97HF5 :FCA H<9 !- 7I69G ,<9 FGH GH9D HC 75FFM CIH H<9 897CBJC@IH=CB DFC79GG =G 5 7CCF8=B5H9 HF5BG:CFA5 H=CB :FCA +, HC !- 7CCF8=B5H9G K<=7< =G D9F:CFA98 IG=B; H<9 GH5B85F8 !* H5G?G daofind 5B8 geomap +=B79 BCH 5@@ H<9 GH5FG C6G9FJ98 =B H<9 +, =A5;9 5F9 89H97H98 =B H<9 !- 9@8 5 H<F9G<C@8 A5;B=HI89 :CF H<9 +, @=GH GH5FG AIGH 69 ;=J9B !B H<9 75G9 C: H<9 9@8G +;F! 5B8 / :CF K<=7< K9 <5J9 / C6G9FJ5H=CBG H<=G @=A=H=B; A5; B=HI89 K5G G9H 5H ./lim 

(88) A5; +=A=@5F@M :CF 9@8G &* & K<=7< =G 57HI5@@M @C75H98 7@CG9 HC &  =9@8  =9@8  5B8 =9@8

(89)  H<9 @=A=H=B; A5;B=HI89 =G . /lim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σ =G IG98 HC D9F:CFA H<9 897CBJC@IH=CB C: H<9 GH9@@5F GD97HF5 =B H<9 !- 7I69 ,<9 897CBJC@IH=CB F9EI=F9G 5 DF97=G9 !- (+ 5B8 H<9 +, DCG=H=CBG =B H<9 !- 9@8 +=AI@H5B9CIG@M 5 7CBJC@J98 =A5;9 IG=B; H<9 +, A5;B=HI89G 5B8 DCG=H=CBG 5B8 H<9 !- (+ =G 7F95H98 8IF=B; H<9 897CBJC@IH=CB DFC79GG ,<=G 7CBJC@J98 =A5;9 M=9@8G 5B 9GH=A5H=CB C: 6@9B8=B; :CF 957< GH5F K<=7< =G IG98 HC G9@97H GH5FG K=H< 5 @=A=H98 5ACIBH C: 6@9B8=B; :CF H<9 B5@ @=GH C: GH5FG K=H< F58=5@ J9@C7=H=9G 5:H9F H<9 897CBJC@IH=CB 9B79 CB79 GH5FG <5J9 699B 897CBJC@J98 :FCA H<9 !-7I69 :FCA 5 +, 7@95B98 @=GH K9 75B A95GIF9 CIF F58=5@ J9@C7=H=9G ,<=G 897CBJC@IH=CB DFC798IF9 75B 69 89G7F=698 =B ACF9 89H5=@ 5G :C@@CKG /=H< H<9 B5@ @=GH C: 7@95B98 +, GH5FG @M=B; =B H<9 F9GD97H=J9 !- 9@8 5B8 H<9 (+ C: H<9 @5HH9F K9 75B 9GH=A5H9 H<9 7CBHF=6IH=CB C: 5 GH5F s HC 957< D=L9@ i K<=7< 89B9G H<9 AC89@ Pi =.  s. Fs Csi ,. 

(90) .

(91) . =A9BG=CB5@ MB5A=7G C: H<9 5@57H=7 I@;9. Figure 2.6 L5AD@9 C: H<9 F9GI@H C: IG=B; 5 KFCB; (+ 8IF=B; H<9 897CBJC@IH=CB ,<=G =G H<9 897CBJC@J98 GD97HFIA :CF H<9 +, DCG=H=CB =B H<9 GH5F

(92)

(93) =B =;IF9  C6H5=B98 IG=B; 5 AC8=98 (+ ,<9 IL CJ9F9GH=A5H=CB =B 5 B9=;<6CF GH5F 6M H<9 (+ DFC8I79G K<9B H<9 GMGH9A =G GC@J98 5 B9;5H=J9 GC@IH=CB :CF H<=G GH5F  7CFF9@5H=CB 75B BCH 69 9GH56@=G<98 K=H< H<9G9 8=GHCFH98 GD97HF5 =B H<9 F58=5@ J9@C7=HM A95GIF9A9BHG. K<9F9 Pi =G H<9 IL =B 957< D=L9@ Fs =G H<9 IL =B H<9 GH5F s 5B8 Csi 7CFF9GDCB8G HC H<9 7CBHF=6IH=CB C: H<5H GH5F s HC H<9 D=L9@ i C6H5=B98 IG=B; H<9 !- (+ χ2 =. . (Pi (observed) − Pi (model))2. i. =. . (Pi (observed) −. . Fs Csi )2 ,.    . s. i. K<=7< 75B 69 GC@J98 6M F9EI=F=B; ∂χ2 =0 ∂Fs. ∀s..  . ,<=G F9GI@HG =B H<9 A5HF=L G<CK98 =B 9E   s. . Fs.  i. . Csi Cs i =. . Pi Csi ,.  . i. K<=7< 89B9G 5 GEI5F9 GMGH9A ,<9 GC@IH=CB C: H<=G A5HF=L :CF 957< G@=79 C: H<9 !85H5 7CFF9GDCB8G HC H<9 IL GC@IH=CB HC H<5H K5J9@9B;H< :CF 957< GH5F F9D95H=B; H<9 DFC798IF9 =B 9J9FM G@=79 C: H<9 7I69 K9 5F9 56@9 HC F97CBGHFI7H H<9 GD97HFIA C: 957< GH5F ,<=G H97<B=EI9 G=AD@9 =B H<9CFM A=;<H M=9@8 5 G=B;I@5F A5HF=L =B GCA9 75G9G K<9B GH5FG 5F9 HCC 7@CG9 C: 957< CH<9F =B H<9 +, =A5;9 5B8 H<9F9:CF9 75B BCH 69 F9GC@J98 =B.

(94) *58=5@ .9@C7=H=9G :CF  6I@;9 9@8G (FC798IF9G 5B8 F9GI@HG. 

(95). H<9 !- =A5;9 IFH<9FACF9 G5HIF5H=CB 5B8 6@998=B; KCI@8 5I;A9BH H<9 DFC656=@=HM C: C6H5=B=B; 5 G=B;I@5F A5HF=L =B 9E  5G H<9G9 9::97HG DFC8I79 AI@H=D@9 '!& 89H97H=CBG 5FCIB8 G5HIF5H98 GDCHG !B CF89F HC 5JC=8 5 G=B;I@5F A5HF=L 8IF=B; H<9 89 7CBJC@IH=CB DFC798IF9 K9 <5J9 =AD@9A9BH98 G9J9F5@ GC@IH=CBG K<=7< K9 89G7F=69 69@CK 

(96)  I9 HC H<9 8=::9F9B79G =B H<9 D=L9@ G75@9 5B8 F9GC@IH=CB 69HK99B H<9 +, /( 5B8 H<9 .!%'+ !- =A5;9 D=L9@ G75@9 =G S :CF (5B8

(97) S :CF / K<=@9 957< D=L9@ 69F =G S =B .!%'+!- =H =G 9LD97H98 H<5H =B A5BM 75G9G ACF9 H<5B CB9 +, GH5F K=@@ :5@@ =B CB9 G=B;@9 !- D=L9@ J9B =B H<CG9 75G9G H<9 IL9G C: HKC GH5FG =B H<9 G5A9 !- D=L9@ 75B 69 G9D5F5H98 5G @CB; 5G H<9M 75B 69 F9GC@J98 5G G=B;@9 GH5FG IG=B; H<9 !- (+ 5B8 H<9 +, DCG=H=CBG ,<9 !- (+ <5G 5 HMD=75@ / % =B CIF C6G9FJ5H=CBG C:

(98)  D=L9@G ,<IG K9 <5J9 :CIB8 F95@=GH=7 HC G9H 5 A=B=AIA 6@9B8 =B; F58=IG :CF H<9 GH5FG =B H<9 +, @=GH GH5FG 7@CG9F H<5B

(99) !- D=L9@G75@9 <5J9 699B 7CBG=89F98 5G CB9 8IF=B; H<9 897CBJC@IH=CB K<9F9 IL9G <5J9 699B 58898 =B H<CG9 75G9G   +=A=@5F@M :5@G9 89H97H=CBG 8I9 HC 6@998=B; 5B8 G5HIF5H=CB =B H<9 +, @=GH 5F9 8=G75FH98 6M 7CAD5F=B; K=H< H<9 DCG=H=CBG C: GH5FG =B H<9 !- 9@8 7FCGG=B; 6CH< @=GHG K9 =89BH=:M H<9 +, GH5F DCG=H=CB K<=7< =G 7@CG9F HC H<9 DCG=H=CB 89H97H98 =B H<9 !9@8 8=G75F8=B; H<9 F9GH C: H<9 89H97H=CBG =B H<9 +, @=GH =BG=89 5B 5JC=85B79 F58=IG ,MD=75@@M 5B 5JC=85B79 F58=IG C: ×/ % C: H<9 !- (+ <5G 699B IG98  &9J9F H<9@9GG =B GD=H9 C: H<9 HKC DFC798IF9G >IGH 89G7F=698 :5@G9 '!& 89H97H=CBG =B H<9 +, @=GH <5J9 9J9BHI5@@M 5DD95F98 8IF=B; H<9 897CBJC@IH=CB ,<9G9 :5@G9 GH5FG =B H<9 +, @=GH K9F9 D5FH=7I@5F@M 7CAACB =B @CB; 9LDCGIF9G K<9F9 G5HIF5H=CB 5B8 6@998=B; =B 6F=;<H GH5FG @9:H G5HIF5H=CB A5BM D=L9@G 5K5M C: H<9 79BHF5@ DCG=H=CB C: H<9 GH5F !B CF89F HC GC@J9 H<=G K9 <5J9 89J=G98 5 G=AD@9 @C75@ DFC798IF9 K<=7< =H9F5H=J9@M 7CA D5F9G H<9 7CBJC@J98 =A5;9 ;9B9F5H98 6M H<9 +, DCG=H=CB A5;B=HI89G 5B8 H<9 !(+ K=H< H<9 F95@ !- 9@8 =A5;9 GH5FG =B H<9 +, @=GH K=H< IL9G × background C: 5 F5H=C =A5;9 F95@ !- =A5;9 8=J=898 6M 5 G=AI@5H98 !- 7CBJC@J98 =A5;9 5F9 F9 >97H98 5B8 A5F?98 5G :5@G9 GH5FG HC ;9B9F5H9 5 B9K 7CBJC@J98 =A5;9 5B8 5 B9K @CCD ,<=G =H9F5H=J9 DFC79GG F5D=8@M 7CBJ9F;9G 5B8 9::97H=J9@M 7@95BG C: :5@G9 GH5FG 8I9 HC G5H IF5H98 D=L9@G H<9 +, @=GH C: GH5FG =B5@@M CB79 H<9 897CBJC@IH=CB =G D9F:CFA98 5 B5@ G9@97H=CB =G 75FF=98 CIH 5G K9 A9BH=CB98 69:CF9 ,<=G @5GH G9@97H=CB =G =BH9B898 HC 5JC=8 GH5FG K<=7< 5F9 6@9B898 A=L=B; 8=::9F9BH DCDI@5H=CBG K<=7< 8I9 HC CIF F58=5@ J9@C7=HM A95GIF9A9BH H97<B=EI9 KCI@8 89@=J9F 5B 5J9F5;9 J9@C7=HM 5G 5 F9GI@H 9B79 K9 A95GIF9 5G A5BM J9@C7=H=9G 5G DCGG=6@9 =B G=B;@9 GH5FG 'B@M GH5FG =B K<=7< H<9 79B HF5@ DCG=H=CBG <58 5H @95GH   C: H<9 HCH5@ IL C: H<9 D=L9@ K9F9 B5@@M G9@97H98 B 9L5AD@9 C: H<=G DFC79GG 5B8 =HG F9GI@HG =G =@@IGHF5H98 =B =;IF9   @=A=H5H=CB C: CIF H97<B=EI9 =G F9@5H98 HC H<9 (+ 7CBGHFI7H=CB ,<9 !- 9@8 =G GA5@@ 5G K9 <5J9 5@F958M A9BH=CB98 K<=7< 7CA6=B98 K=H< H<9 5F95 7CJ9F98 :CF 957< 69F  S 5@@CKG CB@M 5 :9K 89H97H=CBG =B 957< !- 9LDCGIF9 ∼  HMD=75@@M =B BCFA5@ 7CB8=H=CBG K=H< H<9 :CIF EI58F5BHG KCF?=B; ,<=G GA5@@ BIA69F C: 89H97H=CBG C:H9B DFC8I79G 5 <95J=@M IB89FG5AD@98 (+  K<=7< =G 7F=H=75@ =B H<9 897CBJC@IH=CB K<9F9 H<=G (+ =G IG98 5G 5 AC89@ HC 9GH=A5H9 H<9 IL C: 9J9FM GH5F IF=B; H<9 89J9@CDA9BH C: CIF DFC798IF9 957< (+ K5G 75F9:I@@M C6H5=B98 ,<9 F9GI@H C: IG=B; 5 KFCB; (+ DFC8I79G 5 IL CJ9F9GH=A5H=CB C: GCA9 GH5FG ,<9 F9GI@H C: H<=G CJ9F9GH=A5H=CB =G B9;5H=J9 IL9G =B GH5FG =B H<9 B9=;<6CF<CC8 C: GCA9 6F=;<H GH5FG.

(100) . =A9BG=CB5@ MB5A=7G C: H<9 5@57H=7 I@;9. Figure 2.7 L5AD@9 C: DFC798IF9 HC RF9HS 5 !- (+ ,<9 IB89FG5AD@=B; C: H<9 !- (+ =G L98 6M 5 B9K HH=B; DFC798IF9 K<=7< ;=J9G ACF9 K9=;<H HC 79BHF5@ D=L9@G =B CF89F HC 5JC=8 657?;FCIB8 BC=G9 5B8 7CBH5A=B5H=CB 6M B9=;<6CF GH5FG ,<9 B9K (+ =G IG98 8IF=B; H<9 89 7CBJC@IH=CB DFC79GG. K<=7< K<9B DFC>97H98 HC 5@@ H<9 K5J9@9B;H<G =B H<9 GD97HF5@ 7I69 7CFF9GDCB8G 9L57H@M HC H<9 GD97HFIA C: H<9 B9=;<6CF 6F=;<H GH5F =BJ9FH98 5G =H =G G<CKB =B =;IF9   G=A =@5F F9GI@H =G C6H5=B98 K<9B A5BM +, DCG=H=CBG 5F9 @C75H98 =B H<9 DFCL=A=HM C: 5 J9FM 6F=;<H GH5F K<=7< =G 5 HMD=75@ :5=@IF9 C: D<CHCA9HF=7 89H97H=CB =B 6F=;<H G5HIF5H98 GH5FG !B 5@@ H<9G9 75G9G =H =G BCH DCGG=6@9 HC C6H5=B 5 F9@=56@9 F58=5@ J9@C7=HM A95GIF9A9BH :CF H<9G9 =BJ9FH98 GD97HF5 $=A=H98 GC@IH=CBG =AD@9A9BH98 =B CIF 7C89 5B8 5@F958M 89G7F=698 F9@5H9 5B8 7CAD5F9 H<9 GH5FG 89H97H98 =B H<9 +, 5B8 .!%'+ !- 9@8 =B CF89F HC GC@J9 H<9 7FCK8=B; ,<9 IB89FG5AD@=B; C: H<9 !- (+ CB H<9 CH<9F <5B8 F9EI=F9G 588=H=CB5@ =B:CFA5H=CB !B CF89F HC =ADFCJ9 H<=G IB89FG5AD@98 !- (+ K9 D9F:CFA98 5 5IGG=5B RrefittingS C: H<9 !- (+ ;9B9F5H98 6M !* H5G?G K<9F9 G9J 9F5@ (+ AC89@G K9F9 H9GH98 ,<9 (+ H ;=J9G ACF9 K9=;<H HC 79BHF5@ D=L9@G K<9F9 8=::9F9B79G =B 657?;FCIB8 IL 69HK99B CF=;=B5@ 5B8 F9HH98 (+ K9F9 HMD=75@@M C: H<9 CF89F C:  5B8 8=8 BCH G<CK G=;B=75BH 7CBG9EI9B79G =B H<9 B5@ J9@C7=HM F9GI@HG B 9L5AD@9 C: H<9 @5HH9F DFC798IF9 =G G<CKB =B =;IF9  5B8 5 GIAA5FM C: 5@@ F58=5@ J9@C7=HM A95GIF9A9BHG :CF CIF H<9 G=L 9@8G =G =B8=75H98 =B H56@9 An alternative deconvolution +=B79 897CBJC@IH=CB 5B8 7FCGG7CFF9@5H=CB 5F9 6CH< @=B95F CD9F5HCFG H<9M 75B 69 75FF=98 CIH =B 5BM CF89F ,<IG 5B 9EI=J5@9BH DFC798IF9 HC 897CBJC@J9 H<9 7FCGG7CFF9@5H=CB :IB7H=CB  C6H5=B98 :FCA H<9 J9@C7=HM A95GIF9A9BHG C: 5@@ 69FG =B H<9 EI58F5BH <5G 699B =AD@9A9BH98 ,<9 DFC798IF9 G9D5F5H9G H<9 7CBHF=6IH=CBG C: H<9 IL C: 957< GH5F =B 957< D=L9@ =B H<9  85H5 7I69 =B H<9 G5A9 K5M H<5H GD97HF5 :CF 5@@ H<9 GH5FG 5F9 897CBJC@J98 :FCA H<9 GD97HF5 85H5 7I69 CBG=GH9B7M 69HK99B H<9 J9@C7=HM F9GI@HG IG=B; 6CH< A9H<C8G <5G 699B DFCJ9B =;IF9  G<CKG H<9  :FCA H<9 G5A9 GH5F =B 6CH< 75G9G H<9 A5L=AIA =B H<9 897CBJC@J98  =G :CIB8 5H H<9 G5A9 D=L9@ DCG=H=CB K<9F9 957< D=L9@ 7CFF9GDCB8G HC 

(101)  ?A G97 ,<IG H<9 897CBJC@IH=CB B998G HC 69 FIB CB >IGH 5 :9K D=L9@G 5FCIB8 H<9 J9@C7=HM N9FC 7<5BB9@ H <=;< GD97HF5@ F9GC@IH=CB.

(102) *58=5@ .9@C7=H=9G :CF  6I@;9 9@8G (FC798IF9G 5B8 F9GI@HG. . Figure 2.8 FCGG7CFF9@5H=CB :IB7H=CB :CF CB9 C: H<9 GH5FG =B 5589TG /=B8CK 9@8 Top '6 H5=B98 :FCA H<9 J9@C7=HM A95GIF9A9BH C: H<9 897CBJC@J98 GD97HFIA Bottom '6H5=B98 8=F97H@M :FCA H<9 897CBJC@IH=CB C: H<9  85H5 7I69. H<9  897CBJC@IH=CB 7CI@8 69 5B =BH9F9GH=B; K5M HC 896@9B8 85H5 7I69G GD97HF5@@M +5HIF5H=CB BCH CB@M 5::97H98 CIF 897CBJC@HIH=CB DFC798IF9 6M 588=B; :5@G9 GH5FG =B H<9 +, '!& 5@GC =H 5::97H98 H<9 9GH=A5H=CB C: H<9 5ACIBH C: 6@9B8=B; 5B8 H<9F9:CF9 H<9 B5@ G9@97H=CB C: GH5FG =B H<9 !- GD97HF5@ 7I69 ,<9 DFC6@9A C: G5HIF5H=CB 5::97H=B; H<9 J5@I9G C: H<9 A5;B=HI89G K5G GD97=5@@M G=;B=75BH =B &* &  5B8 H<9 H<F99 C::5L=G 9@8G K<=7< 7CIBH K=H< FGH 9DC7< +, C6G9FJ5H=CBG CF=;=B5@@M =BH9B898 :CF H<9 GHI8M C: :5=BH GH5FG 5B8 H<9F9:CF9 K=H< @CB; 9LDCGIF9 H=A9G ,<9 @5HH9F DFC6@9A K5G D5FH=5@@M GC@J98 K=H< H<9 75@7I@5H=CB C: m814 5D9FHIF9 D<CHCA9HFM A5;B=HI89G :FCA G<CFH 9LDCGIF9G  G97  C: H<9 + G97CB8 9DC7< =A5;9G ,<=G K5G DCGG=6@9 CB@M :CF H<9 H<F99 C::5L=G 9@8G =9@8  =9@8  5B8 =9@8

(103)  CBG=GH9B7M C: H<9 J9@C7=HM F9GI@HG <5G 699B 7<97?98 IG=B; 6CH< A5;B=HI89G G<CK=B; BC 8=::9F9B79G 5B8 H<9F9:CF9 5@@CK=B; IG HC 5JC=8 A5BM A=G=89BH=75H=CB 5:H9F H<9 897CBJC@IH=CB =B H<9G9 9@8G. 2.3.3. Zeropoint Velocity Corrections. 'IF 85H5 7CA6=B9 H<F99 C6G9FJ=B; FIBG 5G ,56@9 G<CKG !B CF89F HC 7<97? H<9 F9 @=56=@=HM 5B8 D9F:CFA5B79 C: CIF H97<B=EI9 K9 F9D95H98 =B 957< C6G9FJ=B; FIB CB9 C: CIF 9@8G =B +5;=HH5F=IG! Sgr1-pc <5G 5 F95GCB56@9 7FCK8=B; K=H< 5 @57? C: J9FM 6F=;<H GH5FG 5B8 F9DF9G9BHG 5 HMD=75@ 9L5AD@9 C: H<9 D9F:CFA5B79 C: .!%'+ !- 8IF=B; CIF 6I@;9 C6G9FJ5H=CBG 57< M95FTG C6G9FJ5H=CBG K9F9 5B5@MN98 K=H< H<9 G5A9 +, A5GH9F @=GH 5B8 F9 8I798 =B89D9B89BH@M =;IF9  G<CKG 5 7CAD5F=GCB C: H<9 F58=5@ J9@C7=H=9G C6H5=B98  GA5@@ 6IH G=;B=75BH C::G9H =G 9J=89BH 69HK99B H<9 C6G9FJ=B; G95GCBG J9B H<CI;< H<9 CF=;=B C: H<9G9 89J=5H=CBG <5G BCH 699B =89BH=98 7CAD@9H9@M K9 <5J9 7CFF97H98.

(104) . =A9BG=CB5@ MB5A=7G C: H<9 5@57H=7 I@;9. Figure 2.9 .9@C7=HM N9FCDC=BH 89H9FA=B5H=CB :CF G97CB8 5B8 H<=F8 FIB !- 9@8G !- 9@8 Sgr1-pc J9@C7=HM F9GI@HG <5J9 699B 7CAD5F98 69HK99B H<9 FGH 5B8 G97CB8 C6G9FJ=B; FIB left 5B8 FGH 5B8 H<=F8 right ,<9 H =B 957< 75G9 =G =H9F5H=J9 F9>97H=B; GH5FG 69MCB8  ?A G −1 C: 5 G@CD9

(105) @=B95F H ,<CG9 GH5FG G9@97H98 =B H<9 B5@ =H9F5H=CB 5F9 9B7@CG98 6M 5 7=F7@9. H<9A =B 957< 75G9 ,<IG 5 N9FCDC=BH C::G9H <5G 699B 58898 HC H<9 C6G9FJ5H=CBG C: H<9 G97CB8 5B8 H<=F8 C6G9FJ=B; FIBG C:   5B8   ?A G−1  F9GD97H=J9@M 'B9 DCG G=6@9 9LD@5B5H=CB HC H<=G DFC6@9A 7CI@8 69 F9@5H98 HC CIF GH5B85F8 GH5F 

(106)  K<=7< 7CFF9GDCB8G HC 5 GH5F =B 5 8CI6@9 GMGH9A 5B8 H<9F9:CF9 GIG79DH=6@9 HC J9@C7 =HM 7<5B;9G CJ9F D9F=C8G 7CAD5F56@9 HC H<9 H=A9 9@5DG98 69HK99B CIF C6G9FJ=B; FIBG CBG9EI9BH@M GH5B85F8 GH5F C6G9FJ5H=CBG <5J9 699B 7FCGG 7CFF9@5H98 7CAD5F=B; H<9=F A95GIF98 J9@C7=H=9G K=H< F9GD97H HC H<9 FGH FIB ,<9 @5HH9F H9GH 89@=J9F98 G=A=@5F 8=::9F 9B79G HC H<CG9 :CIB8 HH=B; H<9 N9FCDC=BH C: A95GIF9A9BHG =B Sgr1-pc !H <5G 699B 5@GC 7<97?98 H<5H H<=G N9FCDC=BH =G BCH 5B 5FH=:57H D5FH=7I@5F@M F9@5H98 HC CB9 C: H<9 C6G9F J5H=CBG =B Sgr1-pc B 588=H=CB5@ 9@8 =B +5;=HH5F=IG! Sgr1-WF2d K<=7< K5G D5FH=5@@M F9D95H98 =B H<9 H<=F8 FIB 7CB7CF8G K=H< H<9 C::G9H FGH :CIB8 =B Sgr1-pc.  2.4.1.  &$1+!+ Velocity results in fields close to the galactic minor axis and offaxis fields. ,56@9  5B8 =;IF9

(107) G<CK CIF J9@C7=HM F9GI@HG /9 CB@M G9@97H98 ∼ 3200 F58=5@ J9@C7=H=9G :CF H<9G9 D@CHG K<=7< 7CFF9GDCB8 HC GH5FG K=H< J9@C7=HM 9FFCFG ≤ 50 km s−1 5IGG=5B HG <5J9 699B 75@7I@5H98 :CF 957< J9@C7=HM 8=GHF=6IH=CB K<9F9 !$

(108)  F9EI=F98 5 6=AC85@ H G=B79 =H 7CFF9GDCB8G HC H<9 GIA C: H<9 8=GHF=6IH=CB C: &  5@GC ?BCKB 5G %  5B8 DF9GIA56@M 6I@;9 GH5FG =B H<9 9@8 'IF H<F99 A=BCF 5L=G 9@8G +5;=HH5F=IG! 5589TG /=B8CK 5B8 &* &  K<=7< H5F;9H 89BG9F D5FHG C: H<9 6I@;9 577CIBH :CF H<9 A5>CF=HM C: H<9 F9GI@HG ∼ F58=5@ J9@C7=H=9G K<=@9 H<9 F9GH ∼

(109) F58=5@ J9@C7=H=9G 5F9 ACF9 CF @9GG 9EI5@@M 8=G HF=6IH98 69HK99B H<9 C::5L=G 9@8G !$  !$  5B8 !$

(110)  +5;=HH5F=IG!.

(111) *58=5@ .9@C7=H=9G :CF  6I@;9 9@8G (FC798IF9G 5B8 F9GI@HG. . Table 2.3 *58=5@ .9@C7=HM =GHF=6IH=CB 5B8 5IGG=5B H D5F5A9H9FG. =9@8 5589TG /=B8CK +;F! &  !$  !$  !$

(112)  a !$

(113)  b a b. &stars. 9BHF9 ?A G−1  

(114). 

(115)  

(116)

(117) 

(118)

(119)  

(120)

(121) 

(122)   

(123) 

(124)  

(125) . σ ?A G−1 

(126) 

(127)     

(128) . #IFH    

(129)   

(130)    . =GHF=6IH=CB C: 9@8 GH5FG =GHF=6IH=CB :FCA &  GH5FG =B !$

(131) . 5B8 5589TG /=B8CK <5J9 <=;< J9@C7=HM 8=GD9FG=CBG K<=7< 5;F99 K9@@ K=H< DF9J=CIG 89H9FA=B5H=CBG =B / +CHC 9H 5@  %7/=@@=5A  *=7<

(132)  +58@9F 9H 5@

(133)  5B8 H<9 ;5@57H=7 FCH5H=CB 5B8 J9@C7=HM 8=GD9FG=CB 7IFJ9G 65G98 CB #;=5BHG 5B8 %;=5BHG %=BB=H=

(134)  5B8 *=7< 9H 5@  F9GD97H=J9@M 5H G9J9F5@ @CB;=HI89G =;IF9

(135)

(136)  CK9J9F H<9F9 5F9 7@95F 8=::9F9B79G 69HK99B H<9G9 HKC 8=GHF=6IH=CBG / 7@95F@M 8C9G BCH F9G9A6@9 5 5IGG=5B 5G 577IF5H9@M 5G +5;=HH5F=IG! ,<IG =B GD=H9 C: =HG 7@CG9B9GG 6CH< 9@8G G99A HC F9DF9G9BH G@=;<H@M 8=::9F9BH ?=B9A5H=7 DCDI@5H=CBG =BG=89 H<9 ;5@57 H=7 6I@;9 'B H<9 CH<9F <5B8 &* &  G<CKG 5 GA5@@ 8=GD9FG=CB 7CAD5F98 K=H< H<9 CH<9F HKC A=BCF5L=G 9@8G 5B8 =H =G IB89F H<9 7IFJ9 C: J9@C7=HM 8=GD9FG=CB C: H<9 ;5@5LM CBJ9FG9@M &* &  5;F99G K=H< H<9 6I@;9 FCH5H=CB 7IFJ9 !B 588=H=CB H<9 H<F99 A=BCF 5L=G 9@8G G<CK 5 7@95F 8=GD9FG=CB ;F58=9BH =B ;5@57H=7 @5H= HI89 CBG=GH9BH@M ?=B9A5H=7 8=::9F9B79G 69HK99B H<9G9 9@8G K9F9 5@GC G99B =B DFCD9F ACH=CBG #  !B CIF C::5L=G 9@8G K9 :CIB8 H<5H =9@8  5B8 =9@8  G99A HC G<CK 5 F95GCB56@9 5;F99A9BH K=H< H<9 6I@;9 FCH5H=CB 7IFJ9 CBJ9FG9@M !$

(137)  8C9G BCH G<CK 5 ;CC8 5;F99A9BH ,<=G 5DD5F9BH 8=G5;F99A9BH =B H<9 @5HH9F 9@8 A=;<H 69 75IG98 6M GHFCB; 7CBH5A=B5H=CB 6M BCB6I@;9 GH5FG A5=B@M 7@IGH9F CF 6M DCCF GH5H=GH=7G ,<9F9:CF9 =B CF89F HC 5JC=8 GCA9 C: H<9 DCGG=6@9 7CBH5A=B5H=CB 6M 7@IGH9F GH5FG =B =9@8

(138)   K9 <5J9 IG98 :CF H<9 ;5@57H=7 FCH5H=CB 7IFJ9 H<9 F9GD97H=J9 5IGG=5B H J5@I9 ,<=G 5IGG=5B H J5@I9 :CF H<9 8=GD9FG=CB 5;F99G K9@@ K=H< H<9 ;5@57H=7 FCH5H=CB 7IFJ9 'H<9F 5IH<CFG <5J9 DF9J=CIG@M 9LD@CF98 7CBH5A=B5H=CB F5H9G =B =9@8

(139)  %=BB=H= 9H 5@

(140)   ?9M 5=A C: CIF KCF? =G HC 89F=J9 GD579 ACH=CBG :CF 5 @5F;9 G5AD@9 C: 6I@;9 GH5FG 7CA6=B=B; F58=5@ F58=5@ J9@C7=H=9G 5B8 DFCD9F ACH=CBG G G<CKB =B #* A5=B G9EI9B79 GH5FG 69@CK H<9 HIFBC:: G<CK 5 DFCD9F ACH=CB 8F=:H 7CBG=GH9BH K=H< 5 :CF9 ;FCIB8 8=G? DCDI@5H=CB FCH5H=B; =B :FCBH C: H<9 6I@;9 K<9F95G F98 ;=5BHG G<CK ?=B9 A5H=7G F9DF9G9BH5H=J9 C: H<9 6I@;9 DCDI@5H=CB 5G 5 K<C@9 /9 5HH9ADH HC F9ACJ9 :CF9 ;FCIB8 GH5FG J=5 7IHG =B H<9 % 5G =H =G G<CKB =B =;IF9

(141) -B:CFHIB5H9@M BC GI7< 7IHG 7CI@8 69 5DD@=98 HC H<9 &* &  9@8 :CF.

(142) . =A9BG=CB5@ MB5A=7G C: H<9 5@57H=7 I@;9. Figure 2.10 .9@C7=HM <=GHC;F5AG :CF CIF G=L 9@8G  5IGG=5B H <5G 699B D9F:CFA98 =B 5@@ H<9 75G9G. K<=7< BC GI=H56@9 5F7<=J5@ FGH 9DC7< =A5;9G 5F9 5J5=@56@9 ;=5BH 5B8 HIFBC:: GH5FG 5D D95F G5HIF5H98 CB H<9 F9GD97H=J9 % 9B79 DFCD9F ACH=CBG 5F9 CB@M 5J5=@56@9 :CF :5=BH9F GH5FG =B H<=G 9@8 /9 9LD97H 8=G? 7CBH5A=B5H=CB HC 69 5 A=BCF DFC6@9A 5H H<9 @5H=HI89 C: H<=G 9@8 'IF H<F99 A=BCF5L=G 9@8G K<CG9 F9GI@HG K9 5B5@MN9 <9F9 +*! 5589TG K=B8CK 5B8 &* &  @=9 7@CG9 HC H<9 ;5@57H=7 A=BCF 5L=G B 5L=GMA A9HF=7 6I@;9 G<CI@8 DFC8I79 5H H<CG9 @CB;=HI89G J9@C7=HM 9@@=DGC=8G 5@=;B98 K=H< H<9 @=B9 C: G=;<H ,<9F9:CF9 5BM 89J=5H=CB C: H<5H 5@=;BA9BH =B H<9 J9@C7=HM 9@@=DGC=8 CF J9FH9L 89J=5H=CB =G 5 7@95F G=;B5HIF9 C: 5 BCB5L=GMAA9HF=7 6I@;9 +D97=75@@M 5 J9FH9L 89J=5H=CB G<CI@8 5DD95F =B H<9 7CFF9@5H=CB C: HF5BGJ9FG5@ DFCD9F ACH=CB μl 5B8 H<9 F58=5@ J9@C7=HM .F @H<CI;< H<=G 7CFF9@5H=CB K=@@ 69 5::97H98 6M @=B9 C: G=;<H DFC>97H=CB 5B8 6I@;9 G<5D9 5 G=;B=75BH 7CFF9@5H=CB G<CI@8 69 5 FC6IGH 65F =B8=75HCF /9 H<9F9:CF9 7CADIH98 H<9 8=GD9FG=CB H9BGCF σij2 =;9BJ5@I9G 5B8 9=;9BJ97 HCFG C: H<9 8=GD9FG=CB H9BGCF 7CFF9GDCB8 HC H<9 5L=G F5H=C 5B8 8=F97H=CB C: H<9 5L=G C: H<9 9@@=DGC=8 K<=@9 H<9 79BH9F =G ;=J9B 6M H<9 J9@C7=HM FGH ACA9BHG ,<9G9 75@7I@5H=CBG <5J9 699B GIAA5F=N98 =B ,56@9  5B8 D@CHH98 =B =;IF9

(143)  .5@I9G σr  σl 5B8 σb 5F9 H<9 9=;9BJ5@I9G C: H<9 J9@C7=HM 9@@=DGC=8 5B8 FS =G H<9 +D95FA5B 7CFF9@5H=CB 7C9: 7=9BH FFCFG CB H<9G9 75@7I@5H=CBG <5J9 699B 9GH=A5H98 IG=B; CCHGHF5D %CBH975F@C.

(144) *58=5@ .9@C7=H=9G :CF  6I@;9 9@8G (FC798IF9G 5B8 F9GI@HG. . Figure 2.11 .9@C7=HM =GD9FG=CB σ 5B8 %95B .9@C7=HM :FCA #;=5BHG 6M %=BB=H=

(145)  GEI5F9G %;=5BHG 6M *=7< 9H 5@  7FCGG9G 5B8 CIF 9@8G HF=5B;@9G 5G 5 :IB7H=CB C: H<9 ;5@57H=7 @CB;=HI89. Table 2.4 .9@C7=HM 9@@=DGC=8G :CF ;5@57H=7 A=BCF5L=G 9@8G. &c. &rej d. &iter e. 9 9

(146)  . lv b 89; ± ± 

(147) ±.  

(148)  . 

(149)

(150)

(151) .   . 

(152)    . 9

(153) . ±  ± ±. 

(154)  . . . 

(155) .     

(156) .

(157) 9

(158)

(159)

(160) 

(161) . 

(162) ± 

(163)   ±

(164) 

(165)  

(166) ± . 

(167)

(168). . σl ?A G−1

(169) ±

(170)

(171) ±

(172)

(173) ±. σb ?A G−1

(174) ±

(175) ±

(176) ±. FS. (FC6FS  a. +;F! / & . σr ?A G−1

(177) ±

(178)  ± ±. 

(179)    

(180) . +;F! HIFBC:: +;F! * +;F! 6@I9%+.

(181) ±

(182)

(183) ± ±.

(184)  ±

(185)

(186) ±

(187) ±.

(188)

(189) ± ±

(190)  ±. /HIFBC:: /* /6@I9%+.

(191) ±

(192)

(193) ±

(194) ±.

(195)

(196) ±

(197)

(198) ±

(199)  ±

(200) .

(201) ±

(202)

(203) ±  ±. =9@8. a. (FC6FS  7CFF9GDCB8G HC H<9 G=;B=75B79 C: H<9 7CFF9@5H=CB FS .9FH9L 5B;@9 c ,CH5@ BIA69F C: GH5FG G9@97H98 d &IA69F C: F9>97H98 GH5FG 8IF=B; 7@=DD=B; DFC798IF9 e &IA69F C: =H9F5H=CBG 8IF=B; 7@=DD=B; 5@;CF=H<A b.

(204) . =A9BG=CB5@ MB5A=7G C: H<9 5@57H=7 I@;9. Figure 2.12 % :CF H<9 H<F99 A=BCF5L=G 9@8G !- 89H97 H=CBG CD9B GEI5F9G <5J9 699B <=;<@=;<H98 CJ9F +, 89H97 H=CBG =B 957< 9@8 CHH98 @=B9G =B H<9 6@I9 9B8 C: H<9 A5=B G9EI9B79 :CF +5;=HH5F=IG ! 5B8 5589TG /=B8CK 9@8G A5F? H<9 F9;=CB =B H<9 % 9L7@I898 :FCA 6I@;9 5B5@M G=G 8I9 HC =HG DFCD9F ACH=CBG H<9G9 5F9 7CBG=GH9BH K=H< 5 :CF9 ;FCIB8 DCDI@5H=CB =B :FCBH C: H<9 6I@;9.

(205) *58=5@ .9@C7=H=9G :CF  6I@;9 9@8G (FC798IF9G 5B8 F9GI@HG. . Figure 2.13 .9@C7=HM 9@@=DGC=8G :CF CIF A=BCF5L=G 9@8G CFF9@5H=CB 69HK99B V l 5B8 Vr 75B 69 F9@5H98 K=H< 6I@;9 HF=5L=@=HM ,<9 7C@CFA5;B=HI89 G9@97H=CB <5G 699B H<9 G5A9 G<CKB =B =;IF9

(206) 5B8 BIA69FG C: H<9 7IHG 5F9 G<CKB =B 9J9FM D@CH K<9B DF9G9BH 9 ; :CF +5;=HH5F=IG ! H<9 G9@97H=CB =G 3AA

(207) >

(208)  CF A

(209) >

(210)  4 K<=7< =B7@I89G HIFBC:: 5B8 * GH5FG B =H9F5H=J9 7@=DD=B; 5@;CF=H<A HC F9>97H GH5FG CIHG=89  σ C: H<9 J9@C7=HM 9@@=DGC=8 K5G IG98 HC F=8 H<9 G5AD@9 C: GH5FG K=H< 5 ?=B9A5H=7 69<5J=CF 8=::9F9BH H<5B H<9 A5>CF=HM 57< ;IF9 =B7@I89G 5@@ H<9 J9@C7=HM 9@@=DGC=8G HC =@@IGHF5H9 H<9 7CBJ9F;9B79 C: H<9 A9H<C8 B7@CG98 DC=BHG 5F9 H<CG9 F9>97H98 :CF H<9 B5@ J9@C7=HM 9@@=DGC=8 :CF K<=7< H<9 D5F5A9H9FG :CIB8 <5J9 699B =B7@I898 =B ,56@9   G=;B=75BH 7CFF9@5H=CB <5G 699B :CIB8 =B CIF H<F99 A=BCF5L=G 9@8G 5589TG K=B8CK +5;=HH5F=IG! 5B8 &* & .

(211) . =A9BG=CB5@ MB5A=7G C: H<9 5@57H=7 I@;9. Figure 2.14 5589TG /=B8CK 5B8 +5;=HH5F=IG! J9@C7=HM 9@@=DGC=8G :CF F58=5@ J9@C7=H=9G Vr  5B8 HF5BGJ9FG5@ DFCD9F ACH=CB Vl  8=J=898 6M DCDI@5H=CB ,<9 F9;=CB G9@97H98 =G =B8=75H98 =B 957< D@CH 5B8 7CFF9GDCB8 :FCA @9:H HC F=;<H HC HIFBC:: * 5B8 6@I99B8 C: H<9 A5=B G9EI9B79. G=AI@5H=CBG K=H<

(212) =H9F5H=CBG ,<9 GH5FG G<CKB =B =;IF9

(213)  K9F9 G9@97H98 =B H<9 % K=H< H<9 G5A9 7IHG 5G 69:CF9 B =H9F5H=J9 7@=DD=B; 5@;CF=H<A K5G IG98 HC 89F=J9 FC6IGH 8=GD9FG=CBG =; IF9

(214)  =B7@I89G 5@@ H<9 =H9F5H=J9 J9@C7=HM 9@@=DGC=8G 5B8 DC=BHG K=H<=B GEI5F9G 5F9 H<9 GH5FG F9>97H98 8IF=B; H<9 DFC79GG ,<9 J5@I9G =B ,56@9  5F9 H<CG9 :CIB8 =B H<9 @5GH J9@C7=HM 9@@=DGC=8 /9 B8 5 GHFCB; 7CFF9@5H=CB =B CIF H<F99 A=BCF5L=G 9@8G H<9 J9FH9L 89J=5H=CBG 5F9 J=FHI5@@M H<9 G5A9 :CF H<9 / 5B8 +*! ◦ 5B8 ◦ F9GD97H=J9@M 5B8 

(215) ◦ =B &* &  +=A=@5F@M H<9 +D95FA5B 7CFF9@5H=CB 7C9:7=9BH FS G<CKG G=; B=75BH 7CFF9@5H=CB =B H<9 H<F99 9@8G H<9 G=;B=75B79 (FC6FS  G<CKG 5 DFC656=@=HM CJ9F   H<5H 7CFF9@5H=CBG 5F9 F95@ =B +*! 5B8 / ,<9 @5HH9F DFC656=@=HM 897F95G9G HC 

(216)  =B H<9 75G9 C: &* &  =B 5;F99A9BH K=H< H<9 J9FH9L 5B;@9 F9GI@HG ,<IG K9 <5J9 5 7@95F HF9B8 C: 5B =B7F95G=B; J9FH9L 89J=5H=CB HCK5F8G H<9 ;5@57H=7 D@5B9 =B H<9 A=BCF5L=G 'IF F9GI@HG 5;F99 K=H< DF9J=CIG GHI8=9G C: ;=5BHG =B 5589TG K=B8CK J9B H<CI;< CIF G9@97H=CB @57?98 A9H5@@=7=H=9G K<=7< <5J9 699B A9BH=CB98 5G 5 F9@9J5BH D5F5A9 H9F HC G9D5F5H9 69HK99B 8=G? 5B8 6I@;9 DCDI@5H=CBG %=BB=H=

(217)  2<5C 9H 5@

(218)  H<9 5;F99A9BH K=H< GI7< G5AD@9G K=H< K9@@ 9GH56@=G< A9H5@@=7=H=9G KCI@8 GIDDCFH CIF G9@97H=CB 7F=H9F=CB 2<5C 9H 5@ 

(219)  5B5@MN98 5 GI6G5AD@9 C:  GH5FG K=H< A9H5@@=7 =H=9G F58=5@ J9@C7=H=9G *=7<

(220) 

(221)   5B8 DFCD9F ACH=CBG :FCA H<9 CF=;=B5@ G5AD@9 C:  # 5B8 % ;=5BHG 6M +D59B<5I9F 9H 5@ 

(222)   !B H<9 75G9 C: 2<5C 9H 5@ 

(223) .

(224) *58=5@ .9@C7=H=9G :CF  6I@;9 9@8G (FC798IF9G 5B8 F9GI@HG. 

(225). CB@M 5 J9FH9L 89J=5H=CB K5G :CIB8 =B H<9 A9H5@ F=7< DCDI@5H=CB C: <=G GA5@@ G5AD@9  GH5FG %CF9 F979BH@M H<9 CF=;=B5@ DFCD9F ACH=CBG 6M +D59B<5I9F 9H 5@ <5J9 699B 7CA D@9A9BH98 K=H< F58=5@ J9@C7=HM 5B8 A9H5@@=7=HM A95GIF9A9BHG ,9FB8FID 9H 5@

(226)  +58@9F 9H 5@

(227)  5@@CK=B; IG HC <5J9 ∼ GH5FG K=H< K9@@ 89B98  ?=B9A5H=7G 5B8 56IB85B79G ,<9 F9GI@H C: H<=G =B7F95G98 G5AD@9 <5G 699B 7CBG=GH9BH K=H< H<9 DF9 @=A=B5FM 2<5C F9GI@HG +CHC 9H 5@  G<CK=B; 5 G=;B=75BH J9FH9L 89J=5H=CB CB@M :CF H<9 A9H5@ F=7< GH5FG %CF9CJ9F H<9 G5AD@9 C: # ;=5BHG G<CKG 5 F9A5F?56@9 5;F99A9BH =B lv K=H< CIF CKB G5AD@9 C: HIFBC:: 5B8 A5=B G9EI9B79 GH5FG K<9F9 H<9 5B;@9G :CIB8 5F9 ◦ 5B8 

(228) ◦ F9GD97H=J9@M 'B H<9 CH<9F <5B8 CIF 9@@=DGC=8G GCA9H=A9G G<CK @5F;9F 8=GD9FG=CB H<5B H<CG9 :CIB8 =B 2<5C +D9F;9@  *=7< 

(229)  !H 75B 69 5F;I98 H<5H H<=G =B7F95G9 =B 8=GD9F G=CB A=;<H 69 75IG98 6M 7CBH5A=B5H=CB 6M <5@C CF 8=G? GH5FG M 7CBHF5GH HC H<9 2<5C +D9F;9@  *=7< 

(230)  GA5@@ GI6G5AD@9 G9@9H98 6M 56IB85B79G CIF G9@97H=CB 7F=H9F=CB =G :5F ACF9 ;9B9F5@ CB@M 65G98 CB H<9 % 5B8 DFCD9F ACH=CB =B:CFA5H=CB ,<9 5@C DCDI@5H=CB <5G 699B :CIB8 HC 69 I6=EI=HCIG H<FCI;< =BB9F 9@8G C: H<9 %=@?M /5M 5G =H <5G 699B C6G9FJ98 =B / 5B8 % 9@8G 69:CF9 +D59B<5I9F 5H 5@

(231)   %=BB=H= 9H 5@

(232)  ,<9 G=;B5HIF9G C: 5 G@CK@MFCH5H=B; 7CADCB9BH KCI@8 H9B8 HC 9B@5F;9 H<9 8=GD9FG=CB C6G9FJ98 ,<IG 5 7CBH5A=B5H=CB 6M BCB6I@;9 GH5FG G99AG HC 69 F95GCB56@9 =B CIF G5AD@9 K<=7< <5G DF=A5F=@M 5JC=898 8=G? 7CBH5A=B5H=CB IG=B; % 7IHG IF H<9FACF9 7CBH5A=B5H=CB 6M 5@C GH5FG G<CI@8 69 9LD97H98 HC =B7F95G9 =B CH<9F 9@8G K<9F9 6I@;9 8C9G BCH 8CA=B5H9 G 5B 588=H=CB5@ 9L9F7=G9 K9 <5J9 9LD@CF98 H<9 J9@C7=HM 9@@=DGC=8G :CF +5;=HH5F=IG! 5B8 / 8=J=8=B; H<9 G5AD@9 =B HIFBC:: 6@I99B8 C: H<9 A5=B G9EI9B79 5B8 F98 ;=5BH 6F5B7< !B CF89F HC G9D5F5H9 H<CG9 DCDI@5H=CBG K9 <5J9 IG98 H<9 G5A9 @=A=HG =B 7C@CF 5B8 A5;B=HI89G 5G 69:CF9 HC 9L7@I89 8=G? GH5FG ,56@9  5B8 =;IF9

(233)  G<CK H<9G9 9@@=DGC=8G ,IFBC:: G9@97H=CB :FCA H<9 7C@CFA5;B=HI89 7IHG 7CB79BHF5H9 ACGH C: H<9 GH5FG =B 6CH< G5AD@9G F9D95H=B; H<9 8=GHF=6IH=CB C6G9FJ98 =B =;IF9

(234)  +=A=@5F@M * J9@C7=HM 9@@=DGC=8G :C@@CK H<9 G5A9 HF9B8 5G 9LD97H98 6M #* 6=BB98 % H H<9 G5A9 H=A9 6F=;<H 6@I9 A5=B G9EI9B79 GH5FG G<CK BC G=;B=75BH 7CFF9@5H=CB =B 6CH< 9@8G K<9F9 H<9 J9@C7=HM 9@@=DGC=8G <5J9 7CBJ9F;98 HC J9FH9L 5B;@9G C: ∼

(235) ◦ 5G KCI@8 69 9LD97H98 6M 5 :CF9;FCIB8 DCDI@5H=CB =B :FCBH C: H<9 6I@;9 @@ H<=G 9J=89B79 GI;;9GH H<5H CIF A9H<C8 <5G GI779GG:I@@M =GC@5H98 H<9 6I@;9 DCDI@5H=CB ?=B9A5H=75@@M 5JC=8=B; :CF9;FCIB8 8=G? 7CBH5A=B5H=CB 5B8 <=;<@=;<H=B; 65F :95HIF9G IFH<9FACF9 H<9 :57H H<5H H<9 J9FH9L 5B;@9 897F95G9G 5H <=;<9F @5H=HI89G ;=J9G IG GCA9 7@I9G 56CIH H<9 9LH9BH C: H<9 8MB5A=75@ =BI9B79 C: H<9 65F :95HIF9 =B H<9 ;5@57H=7 6I@;9 /9 5F9 =B H<9 DFC79GG C: =B7CFDCF5H=B; H<=G =B:CFA5H=CB =BHC 5 89H5=@98 8MB5A=75@ AC89@ C: H<9 6I@;9 65F. .  '&$-+!'&+. /9 <5J9 89G7F=698 =B H<=G D5D9F H<9 DFC798IF9G 5B8 F9GI@HG C: 5 GHI8M K<=7< 5=AG HC =89BH=:M 5 G=;B=75BH G=;B5HIF9 C: H<9 GH9@@5F 65F =B G9J9F5@ K=B8CKG K=H< @CK :CF9 ;FCIB8 9LH=B7H=CB =B H<9 ;5@57H=7 6I@;9 *58=5@ J9@C7=H=9G <5J9 699B 89F=J98 :FCA ∼ 110 <CIFG C: .$, .!%'+!- C6G9FJ5H=CBG /9 <5J9 DFCJ9B H<5H CIF B9K A9H<C8G K<=7< 7CA6=B9G H<9 =B:CFA5H=CB :FCA +,.

(236) . =A9BG=CB5@ MB5A=7G C: H<9 5@57H=7 I@;9. D<CHCA9HFM DFCD9F ACH=CBG 5B8 !- GD97HFCG7CDM A5?9G :95G=6@9 H<9 89H97H=CB C: H<9  ?=B9A5H=7G C: 6I@;9 GH5FG ,<9 F58=5@ J9@C7=HM DFC798IF9 65G98 CB 5 897CBJC@IH=CB =B H<9 GD97HF5@ !- 7I69 IG=B; +, DCG=H=CBG 5B8 5 !- (+ <5J9 5@@CK98 IG HC C6H5=B ACF9 H<5B ∼ GH9@@5F F58=5@ J9@C7=H=9G 'IF @5F;9 5ACIBH C: 85H5 7CA6=B98 K=H< H<9 DFCD9F ACH=CB =B:CFA5H=CB 5@F958M DF9G9BH98 =B #* 5B8 #  <5J9 5@@CK98 H<9 89H97H=CB C: 5 G=;B=75BH J9FH9L 89J=5H=CB =B CIF H<F99 A=BCF5L=G 9@8G +5;=HH5F=IG! / 5B8 &* &  ,<9 :57H H<5H H<9 65F DF9G9BHG =HG GHFCB;9GH G=;B5HIF9 =B H<9 FGH HKC 9@8G 897F95G=B; =B H<9 @CK9F @5H=HI89 9@8 &* &  89@=J9FG J5@I56@9 =B:CFA5H=CB 56CIH H<9 9LH9BH C: H<9 65F :95HIF9 5B8 AIGH 69 =BHF=BG=75@@M F9@5H98 HC H<9 89H5=@98 GHFI7HIF9 C: H<9 ;5@57H=7 6I@;9 ,<=G DFC>97H =G GH=@@ =B DFC;F9GG HC H<9 G=L 9@8G K=H< F58=5@ J9@C7=H=9G 5B8 H<9 DFCD9F ACH=CB =B H<9 H<F99 79BHF5@ 9@8G K9 K=@@ GCCB 588 DFCD9F ACH=CB :CF CIF H<F99 C:: 5L=G 9@8G CIF 588=H=CB5@ 9@8G K=H< F58=5@ J9@C7=H=9G 5B8 DFCD9F ACH=CB 5H B9;5H=J9 @CB;=HI89G <5J9 699B D@5BB98 ,<IG CIF DFC>97H K=@@ G5AD@9 6CH< 9B8G C: H<9 65F C6H5=B=B; FC6IGH 7CBGHF5=BHG =B H<9 7<5F57H9F=GH=7 6I@;9 D5F5A9H9FG %CF9CJ9F 5 G9@: 7CBG=GH9BH +7<K5FNG7<=@8 AC89@ HC 8=G9BH5B;@9 H<9 ?=B9A5H=7 =B:CFA5H=CB =B H<9G9 H9B 9@8G =G IB89F 89J9@CDA9BH !B H<9 9B8 K9 9LD97H HC 89H9FA=B9 5 89H5=@98 D=7HIF9 C: H<9 GH9@@5F 65F 5B8 =HG D5F5A9H9FG IG=B; H<9 F58=5@ J9@C7=H=9G 5B8 DFCD9F ACH=CBG =B CIF 9@8G. * *&+ B89FGCB "   #=B; ! *

(237)  (+(

(238)

(239)

(240) 

(241)  B89FGCB "   #=B; ! *  (+(

(242)

(243) 

(244)  H<5B5GGCI@5   %&*+ 

(245)  9B>5A=B *   9H 5@  D"   $

(246)  =BB9M "  9F<5F8 '   +H5F?    5@@M "  -7<=85 # !

(247) 

(248)  %&*+  

(249) I8KCFH< # %

(250)  "    K9?   9H 5@

(251)  D"  

(252)  B;@A5=9F (  5B8 9F<5F8 '

(253)  %&*+   

(254) C@HNA5B "   /5HGCB  %  5IA /   =@@A5=F  "  FCH<  " $=;<H * %  $MB8G *   'T&9=@@  "  "F

(255)  "

(256)

(257) 

(258)  #I=>?9B #  %9FF=9@8 % *  D"  $

(259)  #I=>?9B #   *=7< * %  "

(260)   #*  #I=>?9B #  +( 

(261)  Milky Way Surveys: The Structure and Evolution of our Galaxy 8G  @9A9BG * +<5< 5B8 , F5=B9F8 

(262) #  %=BB=H= 

(263)  !-+

(264)  Galactic bulges 8G %=BB=H= 

(265)  D" 

(266)  *=7< * %

(267)  "   . 9FK=; 9"CB;<9 5B8. 5FA "5B. 56=B; 

(268) .

(269) *9:9F9B79G. . *=7< * %

(270)   D"     *=7< * %  *9=HN9@   . CK5F8    2<5C.  D"  $ . %7/=@@=5A   *=7< * %

(271)  D"+ 

(272)   +58@9F  %  *=7< * %  ,9FB8FID  %

(273)  "

(274)

(275)

(276) 

(277) +D59B<5I9F   "CB9G    /=H<:CF8 

(278)   "

(279)   +7<K5FNG7<=@8 %

(280)  D"    +7<K5FNG7<=@8 %

(281)   D"   +CHC %  *=7< * %  #I=>?9B #  D"  $

(282) ,9FB8FID  %  *=7< * %  +58@9F  % 

(283)  "

(284)

(285) 

(286)  ,CBFM "   5J=G %

(287)  " 

(288) 2965@@CG.  +CHC %  #I=>?9B # *=7< * %  =B DF9D5F5H=CB. 2<5C. +  +D9F;9@  &  *=7< * %

(289)  "

(290) 

(291) . 2<5C. +  *=7< * %   +D9F;9@  &

(292)  %&*+  

(293) . 2<5C. +

(294)  %&*+ 

(295) . 2C775@= %  9H 5@    $

(296).

(297) . =A9BG=CB5@ MB5A=7G C: H<9 5@57H=7 I@;9.

(298)

Referenties

GERELATEERDE DOCUMENTEN

Since expression of Serpins may facilitate the immune escape of HLA positive tumors, we next analysed the effect of Serpin expression on survival in cases with normal/partial

License: Licence agreement concerning inclusion of doctoral thesis in the Institutional Repository of the University of Leiden. Downloaded

Detection of amyloid plaques in mouse models of Alzheimer’s disease by magnetic resonance imaging.. Apostolova

More precisely, an upper bound for the variance of the test statistic R N ∗ is realized by the one-dimensional Moore-Rayleigh null hypothesis, whose distribution is similar to the

The results on simulated data show that the MR3 outperforms permutation tests on Hotelling’s T 2 test (pHT2) in the detection of difference of mean in small sample sizes, since the

Peripheral blood cells were stained with HLA-A2.1 tetramers containing the tyrosinase368–376 peptide followed by staining with a panel of lineage antibodies, as described in

Blades and blade fragments seem to have been especially used for longitudinal motions, mainly on plant material (7/12). Flake and flake fragments are used in different motions on

This shape also occurs in the combination artefacts (see below). The shape is the result of intensive use in a repetitive abrasive motion, carried out from different angles. In