Thephotometri turno pointdistan esarederivedfromthedistan e
modu-lus. Thereforetheun ertainties inthedistan es an be al ulatedasa
ombina-tionoftwosour esoferror: theun ertaintyderivedfromtheobservedbrightness
of the turno point (
E mag,CMD
, dis ussed above) and the un ertainty derived fromtheabsolutebrightnessoftheturnopoint,whi hdependsonthe hoi eofiso hrone(andthusontheun ertaintyintheageor inthemetalli ity).
E µ,TO = q
E mag,CMD 2 + E mag,isoch 2 ;
(4.2)Table4.1: Positionanddistan estotheSgrstream,togetherwitha tagforfaint
orbrightbran hmembership,a tentative lassi ationasleading ortrailingarm
and a number spe ifying the hierar hy of the dete tion in the CMD (primary,
se ondary,et .). The distan es are indi ated both as distan e modulus and as
helio entri distan e, withthedistan e un ertainty(
E d
)inkp .Field arm dete tion RA(deg) DEC(deg)
µ(mag) d
(kp )E d
(kp )A2104
f
lead 1 235.040644 -3.33158 18.8 56.6 3.1
RXJ1524
f
trail 1 231.170583 9.93498 16.2 17.1 2.0
A2050
f
lead 1 229.080749 0.08773 18.7 54.1 8.7
A1942
f
lead 1 219.654126 3.63573 18.7 54.1 3.7
A1882
b
lead 1 213.667817 -0.30598 18.5 49.3 5.7
A1835
b
lead 1 210.259355 2.83093 18.4 47.1 4.2
RXJ1347
b
? 1 206.889060 -11.80299 15.5 12.4 7.3
ZwCl1215
b
? 1 184.433196 3.67469 16.7 21.5 2.9
ZwCl1215
b
? 3 184.433196 3.67469 15.0 9.8 2.6
A1413
f
lead 1 178.842420 23.42207 17.5 31.1 2.7
A1413
f
trail 2 178.842420 23.42207 16.2 17.1 1.9
A1246
f
lead 1 170.987824 21.40913 17.6 32.6 9.2
A1185
f
? 1 167.694750 28.68127 16.3 18.7 12
ZwCl1023
b
? 1 156.489424 12.69030 17.4 29.7 11
A795
b
lead 1 141.030063 14.18190 16.0 14.2 2.8
A795
b
? 2 141.030063 14.18190 15.6 14.2 2.8
A763
b
? 1 138.150298 15.99992 16.7 21.5 2.6
A763
b
lead 2 138.150298 15.99992 15.8 14.2 1.0
RXJ0352
f
lead 1 58.263173 19.70387 15.7 13.6 0.7
RXJ0352
f
trail 2 58.263173 19.70387 17.7 34.1 4.3
A401
f
trail 1 44.759558 13.58975 17.4 29.7 3.4
A399
f
trail 1 44.478652 13.05185 17.6 32.6 11
A370
b
trail 1 39.963713 -1.65806 17.6 32.6 4.8
A223
b
trail 1 24.557005 -12.77010 17.0 24.7 1.7
RXJ0132
f
trail 1 23.169048 -8.04556 17.1 25.9 2.3
A133
b
trail 1 15.673483 -21.88113 16.6 20.6 2.4
A119
f
trail 1 14.074919 -1.23337 16.9 23.6 2.9
A85
b
trail 1 10.469662 -9.28824 16.9 23.6 1.6
A2670
f
trail 1 358.564313 -10.40142 16.6 20.6 1.1
RXJ2344
f
trail 1 356.059633 -4.36345 16.7 21.5 5.6
RXJ2344
f
lead 2 356.059633 -4.36345 15.6 13.0 1.2
A2597
f
trail 1 351.336736 -12.11193 16.9 23.6 1.4
b
Brightbran h
f
Faintbran h
Figure4.6: Absolutebrightnessoftheturnopointintherbandasafun tionof
metallli ityandageformetalpoorpopulations(green ir les). Thevaluesinthis
diagrammeettheage/metalli ityrelationfortheSgrdwarfgalaxy fromLayden
&Sarajedini (2000). Theiso hroneused inthispaper toderivedistan es tothe
Sgrstreamis representedwith a yellowstar, and itsmaximumdieren eto the
otherbrightnessvaluesin thisrangeis
∆ M = ±0.1mag
.dete tion'tag and thedistan e modulus(
µ
). In Figure 4.7we ompare ourre-sultsto valuesfromtheliterature 4
,splitin two diagrams(toppanelforthefaint
bran hesandbottompanelforthebrightbran hesin bothhemispheres).
Remarkablyourturnopointdistan esarenotonlyin agreementwith
previ-ousdistan emeasurementstoknownwraps,butalso ompatiblewiththedistan e
predi tionsfor nearbywrapsbythemodelsofPeñarrubia etal. (2010)and Law
&Majewski(2010b). Inthefollowingse tionwedis ussindetailthesendings.
4.3.2 Comparison with models of the Sgr stream
Usingthemodelpredi tionsshowningures4.8and4.9,we lassifyea heldas
belonging to the leading or trailing arm, by mat hing thedistan e and the sky
position. It is worth noting, however, that the distan e for a given parti le in
themodelsissensitivenotonlytotherightas ensionbutalsotothede lination
ofthe parti le. Whilewetakeinto a ount both oordinates when lassifyinga
dete tionasfaintorbrightbran h,wedonotspe i allya ountforthede lination
when omparing thedistan es ofthe modelled streamsand thedistan es ofour
4
TheSDSS-DR8measurementsshowninthispaperforthesouthernbrightarmhavebeen
orre tedforthedieren einthe alibrationofthered lumpabsolutemagnitude,aspointedout
inSlateretal.(2013)and orre tedinKoposovetal.(2013)).AndtheSDSS-DR5measurements
havebeende reasedby
0.15 mag
tomat htheBHBsignalfromSDSS,aspres ribedinBelokurovetal.(2014).
Figure4.7: Photometri mainsequen eturnopointdistan esfortheSagittarius
stream along right as ension (northern-leading tailand southern- trailing tail).
Thetoppanelshowsresultsforthefaintbran h, whereasthebottompanel
or-respondstothebrightarm. Ourdata(blue ir lesforleadingtailsandred ir les
fortrailingtails) arebasedonthetheoreti aliso hrones byMarigo etal.(2008)
and the orre tions by Girardi et al. (2010), for a
10.2 Gyr
old stellarpopula-tionwith
[ F e/H] = −1.0
. Otherdistan e values orrespond to Belokurovet al.(2006b)(greenandgreytriangles),Koposovetal.(2012,2013)(greenasterisks),
Belokurov et al. (2014) (pink triangles)and Slater et al. (2013) (yellow squares
for
> 3σ
dete tionsandwhitesquaresfor< 3σ
). White ir lesdenotedete tionsthat annotbeunambiguouslytaggedas leadingortrailing.
dete tionsingures4.8and4.9. Thismayhavesomeinuen einthesigni an e
of the osets betweenour distan e measurement and the mean distan e of the
N-body parti lesfora givenRA.
Of these two models,the model byPeñarrubia et al.(2010) was designed to
illustratetheee tofinternalsatelliterotationontheorbitoftheSgrdebris,and
itseemstore overbettertheseparationinstellardensitydistributionthatgives
risetothenorthernbifur ationintofaintandbrightbran hes(Figure4.8,upper
panel). Ontheotherhand,themodelbyLaw&Majewski(2010b)wasdesigned
toreprodu etheknownobservationalpropertiesofthestream(angularpositions,
distan es,radialvelo ities),anditseemstoreprodu ebettertheproje ted2MASS
stellardensitydistribution(Figure4.9, upperpanel). Inrelationto thesouthern
regionofthestream,althoughneitherofthetwomodelspredi tedthebifur ation
init,theysu eedinreprodu ingthegeneraldistribution ofthedebris.
Northernleading arm
From our eighteen measurements on the bright and the faint bran hes of the
northern-leadingarm(bran hesA andB,in theterminologyofBelokurovet al.
(2006b)),nine (blue ir les in Figure 4.7) learly reprodu e the distan e trends
of Belokurov et al. (2006b) and Belokurov et al. (2014) (green+grey and yan
trianglesinFigure4.7,respe tively)basedonredgiantandbluehorizontalbran h
stars. For the faint bran h, we extend westwards the distan e measurements
beyond thoseofSDSS, andweprovide itsmostdistantdete tionssofarout to
56kpc
at RA∼ 235 o
. Comparing these mostdistantdete tions to the distan etrendofthemodelsandtothebrightbran hatasimilarrightas ension,one an
arguethat these dete tions likely lie lose to theapo enter of the faint bran h
(orrepresenttheapo enterthemselves),and thereforetheyare probablyagood
estimationforitsdistan e.
For theother ninedete tions,wendthatthederiveddistan esareeitherin
mild disagreement with the trends of the leading arm (four ases, white ir les
in Figure 4.7) or in ompatible with the leading arm (ve ases, red and white
ir lesinFigure4.7). Inthesingle aseofmilddisagreementforthefaintbran h
(A1185,RA
∼ 168 o
)thedistan eiswellbelowthetrendsofboththisandprevi-ouswork (oset
≈ 10 kpc
);however itslargeun ertaintypreventsusfrom ruling outthat itbelongsto the faintbran h. Wewill dis uss analternativemember-ship in subse tion 4.3.2. The three ases of mild disagreement for the bright
bran h (ZwCl1023, A795-2and A763-1, RA
∼ 150 o
) areslightly above thedis-tan etrend of this bran h. Parti ularly, elds A795 and A763also display two
additionaldete tions(primaryandse ondary,respe tively)slightlyunderthe
ex-pe ted distan e trend. Fields A795and A763 lie lose in thesky (less than
4 o
apart)and both yield primary and se ondary distan e measurements very
on-sistent with ea h other and with this di hotomy. Weinterpret this as possibly
indi atinga regionoftheskywherethebrightbran h runsbroaderindistan e.
Outof thevedete tionsin ompatible withthedistan e trendsof the
lead-ing arm, we will dis uss three (RXJ1524,A1413-2 and ZwCl1215-1) in
subse -Figure4.8: Ourdata omparedtothepredi tionsbythemodelfromPeñarrubia
et al.(2010). Top panel: Equatorial mapwith theposition ofourelds plotted
over the simulation. Bottom panel: Distan e vs RA diagram with our results
omparedtothemodelpredi tions. Fieldsonthefaintbran h aredenoted with
ir les,andelds onthebrightbran haredenoted withsquares. Measurements
mat hing theleading armaredenotedin pink,whereasthosemat hingthe
trail-ingarmare denoted in lightblue. White markers representdete tionsthat an
notbe unambiguously tagged as leading or trailing; grey markers in the upper
panel orrespondto elds withmore thanone MS dete tion(they unfoldin the
bottompanel). The olours alesrepresentthetime sin etheparti lesfrom the
simulationsbe ameunbound.
Figure4.9: SameasinFigure4.8butforthemodelfromLaw&Majewski(2010b).
tion4.3.2, together with theabove mentionedA1185. Regardingthe other two
(RXJ1347and ZwCl1215-3, RA
∼ 205 o
and RA∼ 185 o
respe tively), wehave studiedthemindividuallyandfoundthefollowing. Ontheonehand,ZwCl1215-3mat hesthedistan etotheVirgoOverdensity(Bona aetal.2012b)whenusing
theappropriate ageand metalli ity values for the theoreti al iso hrone, so it is
likely a dete tionof this loud. On the other hand, RXJ1347 mat hes the
dis-tan eand position predi tedbythe model from Peñarrubia et al.(2010) for an
older northern-wrapof theleading arm, but alsothe distan espredi ted bythe
twomodelsforthenorthern-trailingwrap. Howeverwe annotdraw on lusions
regardingmembershipforanisolateddete tionandwela kkinemati data,soat
themomentwe an notdis riminatebetweenbothoptions(orevenathirdone).
Northerntrailingarm
Inthissubse tion werevisitfour dete tionsin thegala ti northernhemisphere
whi h yield distan es in ompatiblewith (or o) theleading arm. These
dete -tionsareRXJ1524, A1413-2(red ir lesin Figure 4.7),A1185 ( ompatible with
thefaint leading bran h thanks to its largeerror bars, but severely osetfrom
thedistan e trend)and ZwCl1215-1(white marker atRA
∼ 185 o
onthebrightbran h). Thethreedete tionsinthefaintbran h(RXJ1524,A1413-2andA1185)
showdistan esstrongly onsistentwith ea hother (
∼ 17 kpc
). Andthethree ofthemaretheeldsmostapartfromtheSgrorbitalplaneinournorthernsample,
spreading
60 o
alongtheorbit.Remarkablyboththeirdistan esandtheirpositionsintheskyareinextremely
good agreement with the predi tions from the above mentioned models for the
Sgrdebris in thenorthern-trailingarm,and theyare roughly omparableto the
results in Correnti et al. (2010). However they are at odds with the laim in
Belokurov et al. (2014) that bran h C (at lower de linations and more distant;
see greytriangles in Fig. 4.7) is indeed a part of thenorthern-trailing arm and
the ontinuation of theGeministream/arm (Newberget al.(2003),Drakeet al.
(2013);seepinktrianglesfromBelokurovetal.(2014)in Fig.4.7)).
Giventhe onsisten yofourdistan emeasurementswithea hotherandwith
thesimulations,andgiventhedistribution oftheelds alongthefaintbran h of
thestream,webelievethese dete tionsarepart oftheSgrstream, mostlikelya
wrapofthenortherntrailingarm. Howeverkinemati dataoraspatiallybroader
photometri overageareneededto onrmthis.
Additionally, ZwCl1215-1, whi h lieson the bright bran h, yields a distan e
measurement ompatiblewith thetrendpredi tedforthenorthern-trailingarm.
Butitspositiononthesky(onthebrightbran h) annotbere on iledwiththe
urrentmodelsforthetrailingtail,neitherwiththeage,metalli ityanddistan e
valuesfortheVirgoOverdensity. Thus,itsmembershipandmeaninginthepuzzle
ofthehalo remainanopenquestion.
Southern trailingarm
Ourmeasurementsonthe bright andthefaint bran hesof thesouthern-trailing
armreprodu ethedistan etrendsofKoposovetal.(2012,2013)andSlateretal.
(2013) based on red lump and turno point stars. For the faint bran h, we
onrmthetrendsetbythe
< 3σ
dete tionsinSlateretal.(2013),andwebrieyextendwestwardsandeastwardsthedistan emeasurements. Contraryto Slater
et al. (2013), we nd noeviden e fora dieren e in distan e betweenthe faint
andthebrightbran hesofthesouthern-trailingtail. However itispossiblethat
su hdieren eremainshiddeninourdistan eun ertainties.
When omparing tothe abovementioned models, wend thatthe measures
arein generalagreement with the predi tions for boththe faint and thebright
bran hes. Howeverthedistan egradientinthefaintbran hseemstobelesssteep
inthedatathaninthemodels,andthebran hseemstobethinnerindistan ethan
predi tedfor anyvalueoftheprobedRArange. Inthissense itisworthnoting
that, in ontrast to what happens to many of our northern hemisphere elds,
onlytwo of the CMDs in thesouthern gala ti hemisphere showse ondary MS
dete tions(RXJ0352and RXJ2344,atRA
∼ 58 o
andRA∼ 356 o
,respe tively).Andthedieren ebetweentheturnopointbrightnessofthesedoubledete tions
doesnotfavourathi kbran h,butratherthedete tionofapreviouslyunknown
nearbywrap(seesubse tion4.3.2).
Southern leading arm
Inthis subse tion we revisit the double dete tions of 4.3.2, namely RXJ0352-1
andRXJ2344-2, (RA
∼ 58 o
andRA∼ 356 o
,primary andse ondary dete tions, respe tively). WeshowtheirCMDsandtheir ross- orrelationdensitydiagramsingures4.10and4.11. Wendthat,usingthesameiso hronewehaveused to
derivedistan estoalltheSgrelds,bothyieldadistan eof
∼ 13 kpc
. Thesedis-tan esareinex ellentagreementwiththepredi tionsfromthetwosimulationsfor
theleadingarmintheSouthandalsowiththetrendsetbytheleading-northern
data. Wethus laimthatthesetwodete tionsarepartofthe ontinuationofthe
northern-leadingarmintothesouthernhemisphere(Chouetal.2007). The
posi-tionsoftheseelds,however,suggestthattheleadingarmdivesintothesouthern
hemisphereathigherde linationsthanpredi ted,overlappingin proje tionwith
thefaintbran h ofthetrailing arm.
Ifthedete tionofthesouthern-leadingarmor thenorthern-trailingarm
pro-posedin thispaperare onrmedinfuture works(withkinemati measurements
formembershiporphotometri follow-upforspatial overage),ourmeasurements
willbethe losestandtheoldestdebrisoftheSgrstreamdete tedtodate. Ifso,
thiswouldmeanthatourmethodhassu eededindete tingnearbysubstru ture
in regions of the skythat had already been explored. The explanation to su h
a performan e would lie on thefa t that weuse a sample ofstars (a largepart
ofthe main sequen e) to identify the overdensities in theCMD larger than the
sampleoftheusualhalotra ers(red lump,redgiantsorbluehorizontalbran h),
Figure 4.10: Left: Dereddened CMD for the westernmost pointing probing the
leading arm in the southern hemisphere; the template main sequen e fun tion
andtheturnopoint(green)areplottedforthemaximumoftheprimary
ross- orrelation. Right: Weighted-density diagram resultingfrom theprimary
ross- orrelation. Themaximum(whitebin,bla k ross)marksthetopleft ornerofthe
template-MSatthepositionofthesouthern-leadingarmmainsequen e,whereas
the red overdensity at fainter magnitudes orresponds to the southern-trailing
arm.
andthis ouldin reasethe ontrastinregionsoflow on entrationandthi kdisk
ontamination.
Presen e ofsparse nearby streams in SDSS
In the mu h shallower SDSS data the dete ted MS features are signi antly
smearedoutbyphotometri un ertaintiesandpoorerstar/galaxyseparation(see
CMD omparisonin g.4.12). Asa onsequen e,meagermain sequen eswould
bemoredi ulttoindentifyinSDSS(andmeagerBHBorRC ounterpartswould
beimpossibletoidentify). Thisleadsustothinkthattheabilitytodete tsparse
stellarpopulations liketheonesin se tions4.3.2and4.3.2isstronglydependent
ontheinitialimagequalityandthestarsele tionpro ess.
Thestrength of SDSS liesin thelargearea it overs, whi h might allowthe
dete tionof a nearby, dynami allyold stream in some statisti al way. However
thispursuitisbeyondthes opeofthispaper.
Figure 4.11: Left: Dereddened CMD for the easternmost pointing probing the
leading arm in the southern hemisphere; the template main sequen e fun tion
andtheturnopoint(green)areplottedforthemaximumofthese ondary
ross- orrelation. We have randomly removed
50%
of the stars ontributing to the primary dete tion, whi h orresponds to the southern-trailing arm of the Sgrstream. Right: Weighted-density diagram resulting from the se ondary
ross- orrelation. Themaximum(white bin, bla k ross)marksthe topleft orner of
thetemplate-MSfun tionatthepositionoftheOrphanstream'smainsequen e.
The primary dete tion has been partially removed, and the remainings an be
seenasa weaktailatfaintermagnitudesandslightlybluer olour.
Figure 4.12: Left: Smoothed CMD for eld RXJ1524 ontaining the CFHT
sour es lassied as stars by us. Right: Same as the diagram in the right for
theSDSSsour es lassied as starsin thedatabase. Theweaker featuresin the
leftgurearenotdete table in therightguredue tophotometri un ertainties
andthedierentstar/galaxyseparations.