ApJ in press; submittedAugust17,2006: accepted January19,2007 PreprinttypesetusingLATEXstyleemulateapjv.10/09/06 IMAGING OF THE STELLAR POPULATION OF IC 10 WITH LASER GUIDE STAR ADAPTIVE OPTICS AND THE HUBBLE SPACE TELESCOPE William D. Vacca1, Christopher D. Sheehy2 , and James R. Graham2,3 Dept.ofAstronomy,UniversityofCalifornia,Berkeley,CA94720-3411 Draft versionFebruary 5, 2008 ABSTRACT We present adaptive optics (AO), near-infrared images of the central starburst region of the Local Group dwarf irregular IC 10. The Keck 2 telescope laser guide star facility was used to achieve near 7 diffraction limited performance at H and K′ with Strehl ratios of 18% and 32%, respectively. The 0 images are centered on the putative Wolf-Rayet (W-R) object [MAC92] 24. Photometry from AO 0 images can be subject to large systematic errors (≃1 mag.) due to uncertainties in the point spread 2 functions (PSFs) and the associated encircled energy curves caused by Strehl variations. However, n IC10presentsarichstarfield,andthereforeweareabletousetheFourierpowerspectrummethodof a Sheehy,McCrady andGraham(ApJ, 647,1517)to reconstructthe photometric curveofgrowthfrom J the datathemselves,andtherebyreduce the magnitude ofthe systematicerrorsinourphotometryto 2 ≤ 0.04 mag. We combine our ground-based images with an F814W image obtained with the Hubble 2 Space Telescope. By comparing the K′ versus [F814W]−K′ color-magnitude diagram for the IC10 field with theoretical isochrones, we find that the stellar population is best represented by at least 1 two bursts of star formation, one ∼ 10 Myr ago and one significantly older (150−500 Myr). The v young, blue stars are centered around and concentrated in the vicinity of [MAC92] 24. We suggest 8 that this populationrepresentsthe resolvedcomponents ofan OB associationwith a half-lightradius 2 6 of about 3 pc. We resolve the W-R object [MAC92] 24 itself into at least six blue stars. Four of 1 these components have near-IR colors and luminosities that make them robust WN star candidates. 0 By matching the location of Carbon stars in the color-magnitude diagramwith those in the SMC we 7 deriveadistancemodulusforIC10ofabout24.5magandaforegroundreddeningofE(B−V)=0.95. 0 We find a more precise distance by locating the tip of the giant branch in the F814W, H, and K′ / luminosity functions for IC 10. We find a weighted meandistance modulus (m−M) =24.48±0.08. h 0 The systematic error in this measurement, due to a possible difference in the properties of the RGB p populations in IC 10 and the SMC, is ±0.16 mag. - o Subject headings: galaxies: individual (IC 10) – galaxies: starburst – galaxies: star clusters r t s a 1. INTRODUCTION ficialornaturalguidestarinthefieldofview. Suchguide : v Above the turbulence of the earth’s atmosphere, and stars provide input to the tip-tilt and wavefront sensors i and,inthecaseofanaturalguidestar,astraightforward X able to record near-diffraction-limited images, instru- meansofdeterminingthepoint-spreadfunction(PSF)of ments aboard the Hubble Space Telescope (HST) have r the system. Examples of extragalactic studies using an a provided data that have driven the field of high resolu- AO system employing natural guide stars can be found tion imaging of starburst galaxies (see, e.g., Whitmore in Davidge (2003) and references therein. Nevertheless, 2000, and references therein). While most of the work care must taken when using a natural guide star in the with HST has been done at ultravioletand visible wave- field to avoidsaturation,persistence,and scatteredlight lengths, which are ideal for tracing hot, young stars, problems. Furthermore, in general, extragalactic fields imaging and spectroscopy in the near-infrared(near-IR) selected for stellar population studies tend not to con- is invaluable when there is substantial foreground or in- tain bright isolated stars. ternalextinctionoralargepopulationofredsupergiants. With the deployment of laser guide star (LGS) tech- Because angularresolutionat the diffractionlimit scales niques, the requirement for a bright natural guide star linearlywithwavelengthandinverselywithtelescopedi- within the isoplanatic patch (a severe constraint when ameter,the 2.5-mapertureof HSTrestrictsits effective- attempting to observe individual extragalactic sources ness in the near-IR. With the advent of adaptive optics such as nearby starburst galaxies) can be removed. The (AO) facilities at ground-based, 4-m and 8-m class tele- need for a tip-tilt guide star (R . 17 mag.) within the scopes,itis nowpossible to acquirenear-IRimageswith isokinetic angle (≃ 30′′) remains because, by Fermat’s angular resolution superior to those from HST and the principle, a monochromatic laser beacon cannot be used NICMOS instrument. to sense wavefronttilt. However,this constraintis much AOobservationsrequirethe presenceofeither anarti- moreeasilysatisfied,evenwhenobservingsourcesoutof 1SOFIA-USRA, NASA Ames Research Center, MS N211-3, the Galactic plane. MoffettField,CA94035; wvacca@sofia.usra.edu InthispaperwereportLGSAOnear-IRimagesofthe 2Center for Adaptive Optics, University of California, Santa central region of IC 10 obtained with the NIRC2 cam- Cruz,CA95064, U.S.A. [email protected] era at the Keck Observatory. IC 10 is a nearby irregular 2 Vacca et al. starburst galaxy, often characterized as a blue compact 2. OBSERVATIONSANDDATAREDUCTION dwarf(Richer et al.2001),locatedontheoutskirtsofthe 2.1. Near-Infrared Data Local Group. The physical properties of IC 10 are sum- marizedinthereviewbyMateo(1998). IC 10liesatlow Near-infrared H and K′ images of IC 10, centered Galacticlatitude(l=119.0◦,b=−3.3◦)andreliableval- on [MAC92] 24 and approximately 10 arc sec E and ues of the foreground reddening and distance have been 18 arc sec S of [HL90] 111c, were acquired with the elusive,with estimates rangingfrom 0.47to 2.0 mag.for NIRC2 camera on the Keck 2 telescope on 2005 Novem- E(B−V) andfrom22tomorethan27mag.forthe dis- ber10. Theseobservationswereobtainedusingthelaser- tance modulus. A summary of distance and reddening guide star adaptive optics facility (Wizinowich et al. estimates for IC 10 can be found in Sakai et al. (1999) 2006; van Dam et al. 2006). The NIRC2 pupil stop was and Demers et al. (2004). in the LARGEHEX position and the camera was operated IC 10 is remarkable for its high star formation rate, inthenarrowfieldmode,whichyieldsascaleof0′.′01per as evidenced by its large number of H II regions pixel and a field of view of 10′.′24×10′.′24. The Nyquist (Hodge & Lee 1990), Hα luminosity (Mateo 1998), and frequencies with this pupil stop on Keck 2 at H and K′ far-IR luminosity (Melisse & Israel 1994). Normalized are 65 and and 50 arc sec−1, respectively, and therefore to its H surface density, IC 10 has much higher rate the images are well sampled. 2 of star formation than most spirals or dwarfs (Mateo Observing conditions were photometric according to 1998; Leroy et al. 2006). IC 10 has a large popula- data from the Mauna Kea all-sky monitor CONCAM4, tion of Wolf-Rayet (W-R) stars (Massey et al. 1992; andthenaturalseeingwasmeasuredtobe0′.′3full-width Massey & Armandroff 1995), and the highest surface at half maximum (FWHM) at H. Analysis of the AO density of W-R stars among all Local Group galaxies wavefront sensor telemetry indicated that the Fried pa- (Massey & Armandroff 1995). Furthermore, the ratio of rameterwasr0 ≃28cmandtheouterscaleL0 was∼57 carbon-type W-R’s (WC stars) to nitrogen-type W-R’s m at 500 nm. The airmass during the observations was (WN stars) in IC 10 is unusually high for its metallic- about 1.3. The Na I D2 589.0 nm laser guide star, with ity of approximately 0.2-0.3 solar (Skillman et al. 1989; an equivalent brightness of R ≃ 11 mag., was projected Garnett 1990). These characteristics suggest that IC 10 atthe centerofthe sciencecamerafieldofview;a bright has experienced a brief but intense galaxy-wide burst of star5 located due west ∼ 8′′ from the center of the field star formation within the last ∼10 Myr. was used to perform tip/tilt corrections. The total ex- Oneofthemostconspicuoussitesofrecentstarforma- posure times were 1200 s in H (1.63 µm) and 1500 s in tioninIC10istheHIIregion[HL90]111c(Hodge & Lee K′ (2.12µm), brokenintofour andfive ditheredimages, 1990). This region also harbors the brightest putative respectively. Each image in the dithering sequence was W-R star in the galaxy, [MAC92] 24, whose precise separated from the previous one by 1′.′0. spectral type is uncertain. Richer et al. (2001) identi- Therawimageswerereducedusingourpipelineproce- fied [MAC92] 24 as a WN star from the broad He II durefor Lick andKecknear-IRAO imagingdata,which λ 4686 emission (and the lack of C IV λ4650 emis- is currently maintained at Berkeley by M. D. Perrin. sion) in its optical spectrum. Based on its He II λ Thepipelineperformsdarksubtraction,flatfielding,bad 4686 equivalent width, Massey & Holmes (2002) classi- pixel repair, and stacking of images to create the final fied this [MAC92] 24 as a WN star blended with an- mosaics. Flat-fields were generated from exposures of other object. However, [MAC92] 24 was not recovered the interior of the dome obtained at the beginning of by Royer et al. (2001) in their emission line survey of the night. Dome flats are preferable to twilight sky flats this galaxy, possibly because their narrow band filters because they can be acquired with high signal-to-noise. dedicated to W-R detection were contaminated by [O ThepupililluminationintheKeck2/AO/NIRC2system III] λ 5007 from [HL90] 111c. Crowther et al. (2003) is well controlled and comparison of dome and twilight subsequently noted that there were three closely-spaced sky flats shows only very small (negligible) differences, sources, [MAC92] 24-A, B, and C, all located within presumably due to color and polarizationdifferences be- 1−2′′ of each other, that might be contributing to the tweenthetwosources. Asthedataarewellsampled,bad spectrum recorded by Massey & Holmes (2002). They pixels in each 300-s exposure were repaired by replacing also suggested that this object might be an O3If WN them with interpolated values derived from their neigh- star, a WN+OB binary, or a stellar cluster containing bors. The dark-subtracted, flat-fielded images were cor- a WN star. The high stellar density in the vicinity of rected for the known and previously mapped geometric [MAC92] 24 is apparent from the HST/WFPC2 images distortion introduced by the NIRC2 camera, registered reported by Hunter (2001) and Crowther et al. (2003): to a common coordinate frame, and combined. The re- [MAC92]24liesat,ornearthecenteroftheyoungstellar sultingmosaicineachfilterhasasizeof12′.′2×12′.′2,and cluster [H2001] 4-1 visually identified by Hunter (2001). the image size is 0′.′048 FWHM at H and 0′.′051 at K′. The richness of this field, combined with the large fore- The final images are displayed in Figure 1. groundreddening,makesIC10ahighlyattractivetarget Extracting photometry from the near-IRLGS AO im- for high resolution study with near-IR laser-guide-star ages requires two distinct steps: 1) PSF-fitting, which adaptive optics imaging techniques. establishes the relative brightness of stars; 2) analysis of Ourobservationsanddata reductions arepresentedin the PSF to determine the photometric curve of growth. §2. The results are presented in §3 and discussed in §4. While conventionalmethods aresatisfactorytoestablish A summary is given in §5. relative photometry, measuring the photometric curve 4 \protecthttp://nightskylive.net/mk/ 5 USNOB1.01492-0009059, Iphoto=13.59mag IC 10 with LGSAO 3 Fig. 1.—Adaptive optics imagesofIC 10obtained withtheKeck2laserguidestarsystem andtheNIRC2facilitycamera. Left: H band andRight: K′ band mosaics about 20 arcsecSE of the center ofthe HIIregion [HL90] 111c (Hodge&Lee 1990)and includethe W-R candidate [MAC]24 (Masseyetal. 1992). Theimages arenear-diffractionlimitedwithStrehl ratios of 18% and32% at H andK′, respectively. TheoriginofthecoordinatesystemcorrespondstothelocationofthenortherncomponentoftheW-Robject[MAC92]24-A atRA(J2000)00h 20m 27s.36,DEC(J2000)+59◦ 17′ 37′.′33. Theorientationoftheimagesisconventional, withnorthupandeasttothe left. Thestellarpopulationiswellresolvedandfaintnebularemissionarcsacrossthecenter oftheimages. of growth needed to place AO measurements on an ab- 2 and HST/NICMOS data, Sheehy et al. (2006) estab- solute scale requires special techniques. In a crowded lished that this procedure reduces systematic errors in field, relative photometry is best done using the narrow photometric measurements to the few percent level. diffraction-limited core. However, this core may contain We have appliedthe OTF-fitting algorithmsdescribed as little as 5–10% of the total light. The degree of AO in Sheehy et al. (2006) to the current data set with no correctionissensitivetotheobservingconditions(seeing, modification. ThefitstotheH andK′-bandpowerspec- wind speed, brightness of the wavefront reference, etc.), traareshowninFigure2. Notethatthelowestwavenum- andvariationsintheseconditionscausesvariationsinthe bers are excluded from each fit in order to mitigate the amount of energy in the core of the PSF relative to the effects of possible contamination of the power spectra uncorrectedseeing halo. This ratio,known as the Strehl by flat-fielding andsky subtractionerrors,and extended ratio (SR), is exponentially sensitive to the variance of (nebular) emission. Based on the uncertainties in the wavefront errors, and Strehl variations can be large; for reconstruction of the photometric curves of growth (en- moderatecorrectionσ /SR≃1(Fitzgerald & Graham circled energy curves), which are shown in Figure 3, we SR 2006). As the fractional photometric error is approxi- estimate that the systematic errors in the photometry matelyequaltoσ /SR,failuretomeasureandaccount are ≤ 0.04 mag. in both bands. The reconstructed PSF SR forStrehlvariationsandthecorrespondingchangeinthe impliesthattheStrehlratiosofthefinalmosaicsare18% curve of growth can introduce order of magnitude sys- in H and 32% in K′. tematicerrorsinphotometry. Therefore,itisdesirableto WeinvestigatedPSFvariationsacrossthefieldofview estimate the PSF from the data themselves rather than by segmenting the final mosaics into a number of sepa- fromobservationsofaPSFstaratanothertime. (Thisis ratesub-regions,performingtheanalysisdescribedabove a much more straightforwardtask in the case of natural on each sub-region separately, and constructing the en- guide star AO observations, when the guide star itself circled energy curves for each region. Comparison of canbe usedto determine the PSFandmeasurethe pho- the results show variationsofthe aperture correctionsof tometriccurveofgrowth. See,e.g.,Davidge & Courteau less than 5%. Furthermore, we find no systematic varia- (1999); Davidge (2003).) tion ofthe aperture correctionwith position in the field. Sheehy et al. (2006) have shown that when the scene These results agree with both visual inspection of the consists of a rich star field the photometric curve of images, which reveals no significant astigmatism at the growth for adaptively-corrected data can be extracted edges of the field, and other measurements of anisopla- bymodelingthepowerspectrumoftheimage. Modeling natism in AO images obtained under typical seeing con- is performed in Fourier space and employs physical de- ditions at Mauna Kea (e.g., Davidge & Courteau 1999; scriptions of the optical transfer functions (OTF) of the Davidge 2003). Hence, we conclude that the isoplanatic atmosphere, telescope, AO system, and science camera. angle was large for these observations and we neglected Although the Fourier power spectrum of the image of anyPSFvariationsoverthe field ofview inouranalysis. a single star is proportional to |OTF|2, the power spec- We established the photometric zero point using ob- trum of a star field is given by the product of |OTF|2 servations of the UKIRT near-IR standard star FS6 and the power spectrum of the spatial source distribu- (Hawarden et al.2001), obtainedonthe same night. We tion. Therefore, both the imaging system and the as- didnotobserveenoughstandardsstarsto determine the tronomical scene must be modeled. By comparing Keck atmospheric extinction coefficient from our data. How- 4 Vacca et al. 0.20 0.15 σσHH SRteacrofivnedreerd σH 0.10 0.05 0.00 106.20 18 20 22 0.15 σσKK′′ SRteacrofivnedreerd 0.15 ′K 0.10 σ σ′K0.10 0.05 0.05 0.00 0.00 1166 1188 2200 2222 mm Fig. 2.—MeasuredandbestfitpowerspectrafortheH(top)and K′ (bottom) band mosaics in Figure1. Fitting the optical trans- Fig. 4.— Two estimates of the internal errors in the H and fer function (OTF) of the atmosphere, telescope, AO system and K′bandphotometry. Greypointsarephotometricerrorsreturned science camera yields the Strehl ratio and allows the photometric byStarFinder forindividualstars. Thesolidlinesarethe photo- curve of growth to be evaluated (Sheehy etal. 2006). Open dia- metricerrors derived froman artificial star test. The StarFinder monds show the one-dimensional power spectrum extracted from errors vary with field position because the exposure time is non- the images. Solidlines arethe best fit model power spectra com- uniformacross the mosaic. The solidlines from the artificial star putedfrommodelsystemOTFmultipliedbythepowerspectrum experimentrepresentanaverageoverthefieldofview. of the source distribution. Spatial frequency is measured in nor- malizedunitsrelativetotheNyquistfrequencyateachwavelength. Comparisonofthe power atνn ≃0.6atH andK′ show that the etrypackageStarFinder(Diolaiti et al.2000)toperform correctionatthelongerwavelengthissuperior. Thecorresponding source detection and PSF fitting. Photometry result- Strehl ratios at H and K′ are 18% and 32%, respectively. The ing from PSF fitting returns the relative brightness and firstfewwavenumbersareexcludedfromthefits,asthesearecon- locations of the stars in the field of view, and therefore taminated by flat fielding and sky subtraction errors, as well as extended emission. providestheinformationnecessarytoestimatetheshape of the power spectrum of the source distribution. We identified 661 stellar sources in the H image and 1.0 585sourcesinthe K′ image. Forthe brightestfew stars, H K’ speckles in the PSF halo that lie outside the 0′.′19 em- 0.8 piricalPSFradiuswereerroneouslyidentifiedassources. As the locationofspeckles varies with wavelength,these y erg 0.6 spurious detections were easily identified and eliminated n d E by hand. A variance map for each mosaic was con- e cl structed using the formulae given by Vacca et al. (2004) ncir 0.4 andsuppliedtoStarFindertocalculatetheinternalpho- E tometric errors. The photometric errors returned by 0.2 StarFinderareshowninFigure4. Severaldiscretetracks areevidentinthisfigurebecausethetotalexposuretime, 0.0 andhencethesignal-to-noiseratio,isnon-uniformacross 0 20 40 60 80 100 pixels themosaics. Forexample,thetotalexposuretimeforthe centralareaofthefive-pointditherpatternwasfivetimes Fig. 3.— Reconstructed curves of growth (encircled energy) as afunctionofradiusfortheH andK′ bands. larger than that at the edges. Photometric completeness limits were determined by inserting artificial stars of known magnitude into each ever, the H and K′ filters in NIRC2 are similar to those mosaic and attempting to recover them. We performed in use at the IRTF, as they were produced as part of this procedure for magnitudes between 16.0 and 25.0 in the Mauna Kea filter consortium (see Tokunaga et al. steps of 0.5 mag. To accumulate good statistics without 2002). Therefore,wehaveusedthenominalatmospheric substantially increasing the crowding in the images, we extinctioncoefficientsof0.059mag.airmass−1 and0.088 restrictedthenumberofstarsinsertedto50andrepeated mag. airmass−1 for H and K′ respectively given on the the procedure five times for each magnitude bin. Figure IRTF web site6 to make the small corrections necessary 5 presents the resulting completeness as a function of to account for the small difference in airmass between magnitude. The limiting magnitudes are 22.3 and 21.5 our science target and the standard star. inH andK′,respectively,foracompletenessthresholdof We performed relative photometry by constructing an 50%recovery. Inordertotestthephotometricerrorspre- empirical PSF with a radius of 0′.′19 from seven bright sented in Figure 4, we measured the difference between andrelativelyisolatedstarsinthefieldusingDAOPHOT the input magnitudes and the recovered magnitudes for (Stetson1987). Wethenusedthe crowdedfieldphotom- eachartificialstar. Thewidthofthebest-fitGaussianto theseresidualsasafunctionofinputmagnitudeisshown 6 http://irtfweb.ifa.hawaii.edu/$\sim$nsfcam/hist/backgrounds.html; asthe solidline in Figure4. The agreementbetweenthe seealso http://www.jach.hawaii.edu/UKIRT/astronomy/calib/phot cal/cam zpt.whtomlerror estimates is satisfactory. IC 10 with LGSAO 5 K′ 1.0 H 0.8 s s e n e 0.6 et pl m o 0.4 C 0.2 0.0 16 18 20 22 24 26 magnitude Fig. 5.— Photometric completeness of the H and K′ band Fig. 6.— Internal errors in the F814W photometry were es- photometry as afunction oflimitingmagnitude, derivedfromthe timated by comparing photometry from the three individual flt artificialstartests. images. Thisplotshowstheresidualsbetweenthe fltmagnitudes andthemeanmagnitude. Thesolidlineshowsthestandarddevi- ationoftheresidualsin1mag.widebins. For[F814W]<23mag. We note that our near-IR photometry is substan- thermsinternalerrorisapproximately0.04mag. tially deeper and more accurate than that presented by Borissova et al. (2000). Our completeness limits are ∼5 well within the RMS error found by examining the scat- and ∼ 3 mags deeper in H and K′, respectively, and at ter of the photometry derived from the three individual any given magnitude, our internal errors are a factor of flt images about the mean (Fig. 6). This comparison ∼ 5 smaller. Of course, our field of view is considerably revealsthattheuncertaintiesare<0.04mag.forobjects smaller (0.04 arcmin2 vs. 13 arcmin2). brighter than [F814W]=23.0 mag. Instrumental magnitudes were converted to a Vega- 2.2. HST Data basedsystembyadoptingazero-pointof25.501mag. We shallrefertotheseas[F814W]magnitudes. Wehavenot Optical imaging was obtained with the Wide Field transformedthesevaluestoaground-basedsystem(e.g., Camera (WFC) of the Advanced Camera for Surveys Bessell & Brett 1988). Restricting the analysis to stars (ACS) (Ford et al. 2003). Three F814W-band images within the NIRC2 field, we find ∼ 870 sources brighter were acquired as part of program GI-9683 (PI: Bauer) and were retrieved from the HST archives7. The to- than [F814W] = 26.5 mag. Our estimated 50% com- pletenesslimit is between25and25.5mag,for whichwe tal exposure time was 1080 s. We used the flt (cal- find ∼690 sources. ibrated individual exposure) and crj (calibrated, cos- Stars in the NIRC2 field were matched with stars in mic ray-split-combined image) files processed with the theACSfieldusinganearest-neighboralgorithm. Detec- standardHST/ACS pipeline, whichincluded corrections tor coordinates of sources in the geometrically-distorted for the bias level, dark current, flat fielding, flux cali- ACS frame were transformed into sky coordinates using bration and (for the crj files) cosmic ray rejection and the PyRAF8 utility tran, and back into NIRC2 detec- image combining. The mean ACS/WFC pixel scale is approximately0′.′05. Since the Nyquistfrequency atthis tor coordinates. As the pixel scale of the ACS/WFC is wavelength on HST is 30 arc sec−1, these data are un- 5 times coarser than that of the NIRC2 narrow camera and pixel mismatches may be large, we selected sources dersampled. that had common centroids within a 7 NIRC2 pixel ra- Photometry was performed using the software de- dius (70 mas). To further prevent false associations in scribedbyAnderson & King(2006). Thiscodeidentifies the automatically generated catalog, we restricted our sourcesontheimagesaboveaskythreshold,generatesa matches to stars separated from one another by at least spatiallyvariablePSFforthespecific filter,andfits itto thisdistanceinbothindividualcatalogs. Inthecrowded each object detected on the image to yield a distortion- region around [MAC92] 24 the threshold for matching corrected instrumental magnitude and position. The was lowered and each potential match was inspected by PSFisnormalizedtohaveafluxofunitywithinaradius of10pixels,or0′.′5. Althoughthiscodewasdevelopedfor hand before being added to the catalog. This procedure resulted in [F814W]−K′ colors for 380 stars. useonthe fltimages,wefoundonlyasmallsystematic difference (0.025 mag.) between the instrumental mag- 3. RESULTS nitudes derived from the flt images and those derived from the crj image. The latter has the advantage of 3.1. Three-Color Image eliminating many spurious sources due to detector ar- A three-color image of the IC 10 field, combining the tifacts and cosmic rays. Furthermore, this difference is F814W, H, and K′ data and produced using the algo- rithmdescribedbyLupton et al.(2004),isshowninFig- 7 ACS/WFC F435W and F606W images are also available in ure 7. The Lupton et al. (2004) algorithm ensures that the archives as part of this program. We chose to use only the anobjectwithaspecifiedastronomicalcolorhasaunique F814W data because the shorter wavelength images suffer from greater undersampling and greater sensitivity to foreground and internalextinction. 8 http://www.stsci.edu/resources/software hardware/pyraf 6 Vacca et al. colorintheRGBimage. Thecolorimagedrawsattention tion of H −K color9. We used the relations given by to the spatial distribution of the red and blue sequences Sirianni et al. (2005) to convert Cousins I band magni- that are evident in the color-magnitude diagram(CMD; tudesgivenbyZaritsky et al.(2002)toHST/ACS/WFC see Fig. 10) and serves as a useful aid in the identifi- [F814W]. Cioni et al. (2006) identify C-rich and O-rich cation and discussion of individual sources. In Figure 8 asymptotic giant branch (AGB) stars in the SMC based we show an annotated version of the K′ image of this upon their J and K photometry in the DENIS and s field. We have labeled the brightest, bluest and reddest 2MASScatalogs. Usingtheircriteriaforpartitioningthe objects in the image, as well as other sources whose lo- K versus J −K CMD into regions of distinct stellar s s cations in the color-magnitude diagram are noteworthy. types, we identified AGB stars in the K versus J −K s s Photometry for these objects is listed in Table 1. CMD of Zaritsky et al. (2002) and carried the divisions over to the K′ versus [F814W]−K′ CMD. The O-rich and C-rich AGB stars in the SMC sample are plotted in Figure 11 as magenta and red points, respectively. The 3.2. The Color-Magnitude Diagram restoftheSMCstars,includingtheredgiantbranch,are From our photometric catalog we generated the plotted as green points. We assumed a distance modu- [F814W], H, and K′ luminosity functions as well as the lus to the SMC of 18.95± 0.05 mag. and a reddening K′ versus [F814W]−K′ CMD. The former are shown in of E(B − V) = 0.15±0.06 mag. for consistency with Figure 9 while the latter appears in Figure 10. Two Cioni et al. (2000). distinct sequences are populated in the CMD: a vertical To compare the SMC and IC 10 CMDs directly (in band of blue stars with [F814W]−K′ ≃0.5 mag., which the same figure), it is necessary to adopt a foreground are most likely reddened main sequence objects, and a reddening and a distance modulus for IC 10. After ex- well-populated plume of red stars with [F814W]−K′ in perimenting with a range of values found in the liter- the range 2–3.5 mag. In addition there are several very ature (see Demers et al. 2004), we found that a good red objects with [F814W]−K′ >4 mag. match between the SMC and the IC 10 distributions We estimated the contamination of foreground Galac- couldbe achievedwithaforegroundreddeningofE(B− tic stars in our CMDs using the Galactic models of V) = 0.95±0.15 mag. and a distance modulus of 24.5 Cohen (1994). Although IC 10 is at low Galactic lati- mag. The reddening is determined primarily by match- tude, foreground contamination is not severe in such a ing the [F814W]−K′ color of the red giant branch (cf. small field. In H band, we find that we expect about Sakai et al. 1999). If we focus on the less abundant blue 0.01 stars arcsec−2 brighter than 18 mag., 0.025 stars stars, and attempt to match their location in the CMD arcsec−2 brighterthan20mag.,and0.048starsarcsec−2 with that of the very top of the main sequence in the brighterthan22mag. Thesestellarsurfacedensitiescor- SMC distribution, we find that a somewhat smaller red- respond to 1, 4, and 7 stars, respectively, in our NIRC2 dening valueofE(B−V)∼0.65mag.is preferred. This field. Similar values are found for the K′ band. Thus, estimatehasalargeuncertainty,however,giventhesmall above our 50% completeness limit we suffer about 1% numberofblue main-sequencestarsabovethe complete- contamination. The contaminating stars are expected nesslimitsinboththeIC10andSMCsamples. Wenote to be main sequence dwarfs, and therefore should have that IC 10 has abundant molecular clouds (Leroy et al. moderately red colors with [F814W]−K′ in the range 2006) and there is ample evidence for substantial inter- 0.8–2.2 mag. We do not expect that any of the blue nal reddening. The differential extinction between the stars ([F814W] − K′ ≃ 0.5 mag.) or any of the ex- blueandredstarsmayindicatethatthe bluestarslieon tremely red stars ([F814W]−K′ > 4 mag.) are fore- the front face of IC 10,in a regionthat has been cleared ground objects. Two bright (K′ ≃ 17 mag.) stars, la- of gas and dust by the O-star winds and supernovae as- beled9and10inFigure10,havethecolorsofforeground sociated with the star formation activity evident in the dwarfs. However, the close spatial association of star 9 vicinity of [HL90] 111c. with [MAC92] 24 suggests that it is a reddened super- The comparison with the SMC indicates that the red giant in IC 10, with an initial main sequence mass of population in IC 10 comprises both red giants and AGB ≃25M⊙. The status of star 10 is uncertain. stars. There are two branches of very red ([F814W]− We also investigated possible contamination by back- K′ >4mag.) starsfoundinourIC10field. C-richAGB ground galaxies. Based on the galaxy counts given by stars comprise the bright branch. Highly evolved AGB Kochanek et al. (2001) and Drory et al. (2001) and the stars with optically thick circumstellar dust envelopes size of our fields, we would expect to find less than one populate the dim branch. Additional red stars between background galaxy in our K′ band image down to our K′ = 20 and 22 mag. are undoubtedly present, but the 50% completeness limit of 21.5 mag. This agrees with lower right corner of the CMD is unpopulated due to our finding that most of the objects in our image are incompleteness in the F814W measurements. point-like (see below). We have identified red supergiants (RSGs) in the The metallicity of the SMC is close to that of IC Zaritsky et al. (2002) catalog of SMC stars and plot- 10, and therefore this nearby system forms a natu- ted them on Figure 11. We began with the list ral template against which IC 10 can be compared. of spectroscopically-confirmed Magellanic Clouds RSGs We used the 2MASS and DENIS photometric cata- from Massey & Olsen (2003). Cross-correlation of the logs for the SMC provided by Zaritsky et al. (2002) for coordinatesandBandV magnitudesoftheseRSGswith this task. We transformed the 2MASS magnitudes to the NIRC2/MKO system using the relations given in 9 (K′−K) ≃ 0.11(H −K). This relation was derived using the method of Wainscoat & Cowie (1992), based on the central Carpenter (2001) along with an estimate of the con- wavelengths ofourfilters version between K and K′ filter magnitudes as a func- IC 10 with LGSAO 7 Fig. 7.—Three-colorIHK′ compositeofthe[HL90]111cHIIregionofIC10. ThecoordinatesystemiscenteredontheW-Rcandidate [MAC92]24-A/N.Northisupandeastistotheleft. Thenear-IRH andK′imagesarelaserguidestaradaptiveopticsdatafromtheKeck 2telescope obtained withNIRC2, andthe I-banddata isF814W fromtheAdvanced CameraforSurveys ontheHubble Space Telescope. Thisimagewasconstructed usingthealgorithm ofLuptonetal.(2004), whichensures that anobjectwithaspecifiedastronomical color hasauniquecolorintheRGBimage. Distinctpopulationsofredandbluestarsareevident. Thebluestarscomprisemainsequencestars andbluesupergiants;theredstarsarepredominantlyredgiants. ThebrightestredstarsareAGBstars. Thereddeststarsarecarbonstars andevolved AGB starswiththickcircumstellarenvelopes. Consultthe color-magnitudediagram (Fig. 10)andthe finding chart(Fig. 8) toidentifyspecificobjects. Diffuselighttracesnebularemissionfromthe111cHIIregion. objectsintheZaritsky et al.(2002)catalogyieldedtheir location of red supergiants. These tracks also better location in the [F814W] versus [F814W]-K′ CMD. This match the observed integrated colors of star clusters in exercise indicates that there are no unambiguous RSGs IC 10 (Hunter 2001). We convertedthe WFPC2 F814W withinourfieldofview,exceptforperhapsthebrightstar magnitudes given by Lejeune & Schaerer (2001) to the located on the southwest edge of the frame for which we ACS/WFCF814Wbandusingthe prescriptiongivenby did not attempt to perform photometry. Sirianni et al.(2005). TheBessell & Brett(1988)H and In Figure 11 we have overlaid theoretical stellar K bandmagnitudesgivenby Lejeune & Schaerer(2001) isochronesforZ =0.008fromLejeune & Schaerer(2001) were converted to the NIRC2/MKO system using the on our observed CMD. The oxygen abundance in IC transformations given by Carpenter (2001), along with 10 in HII regions corresponds to Z ≃ 0.005 (0.25Z⊙) the aforementioned correction between the K an K′ fil- (Skillman et al. 1989; Garnett 1990). Thus, one would ter magnitudesas a functionof H−K color. We shifted expect that Z = 0.004 tracks of Lejeune & Schaerer the isochrones to correspond to a distance modulus of (2001) would be most suitable for such a comparison. 24.5. We alsoreddenedthe isochrones,withthe adopted However,asfoundbyHunter(2001),themoremetal-rich reddening value dependent on the corresponding age of Z =0.008 isochrones extend farther to the red than the each isochrone. This was done in order to account for Z =0.004 isochrones do and so encompass the observed the differing reddening values found above for the red 8 Vacca et al. 14 16 9 10 18 20 16 19 ′K 18 3(244(-2A4/-SA)/N) 11 1123141517 23 7 2122 20 5(24-B/E) 2(24-B/W)8(24-C) 6(24-A/W) 22 1 0 2 4 6 [F814W] - K′ Fig. 10.—K′vsI−K′color-magnitudediagramfortheNIRC2 field. Consult Fig. 8 to identify the location of the numbered objects. Thedashedlineisthe50%completeness limit. Fig. 8.— K′ finding chart with scale and orientation matching the respective reddenings of the blue and red stars de- Fig. 7. Thecomponentsof[MAC92]24-AandBarelabeledWR24- terminedfromcomparisonoftheIC10andSMCCMDs. A and WR24-B, respectively. The object number can be used to find the stars’ location on the K′/ [F814W]−K′ color-magnitude For isochrones corresponding to ages older than 20 Myr diagram (Fig. 10). Note that the object numbering scheme runs we applied a reddening of E(B − V) = 0.95 mag., as fromleftto rightinFig. 10. Thus, object number 1is the bluest determined from our comparison of the locations of the objectandobjectnumber22isthereddest. red stars in the SMC and IC 10 CMDs. The comparison between our data and the isochrones indicates thatthe [MAC92]24regionofIC 10comprises 20 15 (a) (b) (c) twoseparatestellarpopulations: onegroupofbluemain- N(m)10 IC10 sequence stars and a few blue supergiants,younger than 5 0 about 10–20 Myr, and a second group of red giants and 2m)/dm 000...012 (d) (e) (f) AchGotBomstyarssuwggitehstsagthesatbtehtweereence1n5t0staanrdbu5r0s0ttMhaytr.prTohdiuscdeid- 2dN(--00..21 the W-R stars in [MAC92] 24 sits atop an older field 18 19K′20 21 18 19 H 20 21 21 2[2F814W2]3 24 population. The comparison with the isochrones draws attentiontoseveralstarsthataremuchredderthanpre- 5000 4000 (g) (h) (i) dicted by the theoretical models. As noted above, the m)3000 SMC N(2000 bright objects are C-stars, while the fainter objects are 2m101200000 (j) (k) (l ) pmrionboasbitlyy,hbiugthleyxetivnoglvueisdhAedGbBysotaprtsiccallolsyetthoictkh,eidrufisntyalcliur-- m)/d 0 cumstellar envelopes. 2dN(-10 -20 11 12 13 14 15 11 12 13 14 15 13 14 15 16 17 3.3. Tip of the Red Giant Branch Distance K′ H [F814W] The qualitative comparison between the CMDs for Fig. 9.— Top six (a–f) panels show luminosity functions in the SMC and IC 10 indicates a distance modulus of K′, H, and [F814W] (a–c, respectively) their corresponding sec- about 24.5 mag (see §3.2). A quantitative approach ondderivatives(d–f)forIC10. Thebottom sixpanels(g–l)show the same plots for the SMC. The second derivative (lower row of to matching the two CMDs using the two-dimensional each set), which is used to locate the tip of the red giant branch, Kolmogorov-Smirnovtest (Fasano & Franceschini 1987) is computed using according to the recipe of Cionietal. (2000) proved unsatisfactory because the results were strongly includingsmoothing withaSavitzky-Golay filterandacorrection biasedbytheincompletenessofthetwophotometriccat- that accounts for the systematic offset between peak in the sec- ond derivative and the location of the TRGB. The displacement alogs. However, we can refine the distance estimate by between the vertical linesinthe upper andlower panels indicates using the tip of the red giant branch (TRGB) method themagnitudeofthiscorrection. Thelightgreylineisthebestfit (Lee et al. 1993). The TRGB marks a strong break Gaussiantothesecondderivativepeak. in the luminosity function of the Magellanic Clouds at and blue stars. For ages of ≤ 20 Myr, we found that a K ≃ −6.6 mag. and provides a readily identifiable fidu- reddening value of E(B−V)=0.60 mag. yields a good cial point for distance measurements. match between the theoretical main sequence given by We adopted an empirical approach, comparing the the models and the location of the blue stars in the IC TRGB brightness levels in the SMC and IC 10 data 10 CMD. This reddening value is somewhat lower than sets to derive a relative distance modulus between the the foregroundextinction of E(B−V)=0.8±0.1 mag. two systems. We followed the method developed by recommended by Massey et al. (1992) and Richer et al. Cioni et al.(2000)toestimatethelocationoftheTRGB (2001), but is perhaps preferable given the large wave- from the [F814W], H, and K′ luminosity functions in lengthbaselineaffordedbythecurrentmeasurements. In these two systems. The luminosity functions and their addition, it agrees well with the results found above for secondderivatives,fromwhichthelocationoftheTRGB IC 10 with LGSAO 9 Fig. 11.— K′ versus [F814W]−K′ color-magnitude diagram for IC 10. The solid lines denote the theoretical Z = 0.008 isochrones fromLejeune&Schaerer(2001). Theinitialmassfunctionterminatesatanuppermassof120M⊙. ColoreddotsarestarsfromtheSMC photometric catalog of Zaritskyetal. (2002), including O-rich (magenta) and C-rich (red) AGB stars. The rest of the SMC population, including the red giants and very red, dust enshrouded objects are plotted as green. Both the isochrones and the SMC data have been reddenedandshiftedinmagnitude,usingthevaluesgivenintheupperleftlegendtomatchtheIC10dataTheisochronescorrespondingto ages<20MyrhavebeenreddenedbyE(B−V)=0.60mag.,whiletheisochronesforolderageshavebeenreddenedbyE(B−V)=0.95 mag. TheSMCdatahavebeenreddenedbyE(B−V)=0.95mag. Opendiamondsarespectroscopically-confirmedMagellanicCloudred supergiantsfromZaritskyetal.(2002). AccordingtoartificialstarexperimentstheIC10photometryis50%completeatthedashedblack line. is determined, are shown in Figure 9. Considered indi- errors resulting from any differences in the properties of vidually, the second derivatives of the F814W], H, and the red stellar populations between IC 10 and the SMC. K′ luminosity functions for IC 10 seem noisy, and the Inordertoestimatethissystematicerror,weusedthere- choice of which peak corresponds to the TRGB ambigu- sults givenby Montegriffo et al.(1998) for population II ous. However, simultaneous consideration of all three giants to determine the possible systematic uncertainty wavelengths reveals that there is a common feature rel- intheK′-bandTRGBmagarisingfromthewidthofthe ative to the SMC TRGB (bottom panel of Fig. 9) cor- [F814W]−K′ color of the red giant branch in our CMD responding to a unique relative distance modulus. Com- for IC 10. Assuming that the bolometric luminosity at biningthedifferentialdistancemodulifromthe[F814W], theTRGBisconstantandadoptingthem −K calibra- bol H, andK′ luminosity functions, using a weightedmean, tionforpopulationII giantsofMontegriffo et al.(1998), andcorrectingforthefactthattheuncertaintyintheex- wefindthatanydifferencesinthethe[F814W]−K′color tinction correction introduces covariance between these of the red giant branches between the SMC and IC 10 measurements, we find (m−M) = 24.48±0.08 mag., should produce a systematic error in the true distance 0 where we have used the distance and reddening to the modulusofnomorethan±0.16mag. Thisvalueincludes SMC adopted in §3.2. Because we adopted a large un- the uncertainty in the reddening, E([F814W]−K′). certainty in the reddening towards IC 10 (E(B −V) = Wenotethatourreddeninganddistanceestimatesare 0.95 ± 0.15 mag.), the K′-band TRGB brightness is in good agreementwith those determined by Saha et al. strongly weighted in this result. Since the K′-band (1996) and Wilson et al. (1996) from an analysis of TRGB brightness is sensitive to variations in age and Cepheid data. Our reddening estimate is about 20% metallicity,ourdistanceestimateissubjecttosystematic smaller and our distance is 20% larger than the values 10 Vacca et al. Fig. 13.— Spatial distribution of young (< 10 Myr) blue stars (left)andolderredstars(right). Theyoungstarsareconcentrated in the vicinity of [MAC92] 24. The three circles (dotted, dashed, Fig. 12.— Anenlargementoftheregionsurrounding[MAC92]24 dot-dash) indicate the centroid and half-light radii of the young fromFig.7,showingthat the W-R candidate [MAC92]24-Acon- stars in [F814W], H, and K′, respectively. The half-light radius sists of at least three components, two of which (24-A/N and isabout 0′.′8(3 pc) inall three bands. The coordinate gridis the 24-A/S) have nearly equal brightness and blue colors. A third same as in Fig. 7 with N up and E to the left, and centered on component 24-A/W(0′.′3Wand0′.′1Sof24-A/N)issignificantly the W-R star [MAC92] 24-A/N. The cross marks the location of fainter,butisalsoblue. Thefieldisdirectlycomparablewiththe cluster 4-1 determined by Hunter (2001). The largest diamonds WFPC2/F555W imageofCrowtheretal.(2003). have K′ = 16.5−17.1 mag., the smallest have K′ = 21.9−22.5 mag. estimatedbySakai et al.(1999),whoalsousedCepheids for their determinations. strong function of time; for an instantaneous burst of 3.4. Wolf-Rayet Stars and Young Clusters starformationandaSalpeterIMFextendingto100M⊙, the W-R/O ratio is ≥ 0.1 only between 3.8–4.7 Myr An enlargement (5′′ × 5′′) of the region surrounding (Leitherer et al. 1999). Our W-R candidates are drawn [MAC92] 24 is provided in Fig. 12. This figure can froma list of29 blue stars brighter than the K′ mag ex- be compared directly with the WFPC2/F555W image pected for a B0V star at the distance and reddening of shown by Crowther et al. (2003). Our observations re- IC 10. Therefore, it would not be surprising if our four solve the W-R source [MAC92] 24-A into at least three robustW-Rcandidateswereconfirmedspectroscopically components, two of which (24-A/N and 24-A/S) have to be WN stars. The corollaryis that we can state with nearlyequalbrightnessandbluecolors([F814W]−K′ < confidencethatmassivestarformationinthe[HL90]111c 0); a thirdcomponent, 24-A/W(0′.′3 W and0′.′1 S of24- region was active as recently as four Myr ago. A/N),is significantlyfainter butis alsoblue ([F814W]− IfourproposedW-Rcandidatesareconfirmedspectro- K′ ≃ 0.1). The sources [MAC92] 24-A/N and S are scopically, the WC/WN ratio in IC 10 would drop from the brightest blue objects in the K′ versus [F814W]- 1.2–1.3 (Massey & Holmes 2002; Crowther et al. 2003) K′ CMD (Fig. 11). Their observed colors and mag- to ∼1. While this value is still anomalously high, given nitudes placethemaboveandto the leftofthe reddened thelowmetallicityofIC10,ourresultssuggestthatthere main sequence; their extinction-corrected near-IR col- maybeanumberofWNstarsyettobediscoveredinthe ors (([F814W]−K′) ≃ −0.6 mag.; (H −K′) ≤ 0.1 richstellarfieldsassociatedwiththeregionsofrecentstar 0 0 mag.) and K-band luminosities (MK′,0 ≃ −6.2 mag.) formation in this galaxy. are consistent with their being late-type WN (WN7–9) In addition to the stars we have discussed above, stars (e.g., Crowther et al. 2006). If [MAC92] 24-A/N there is also a handful of fainter blue objects clustered and S are indeed late-type WN stars, they should have within 0′.′2 around [MAC92] 24-A/N. The concentra- relatively weak lines, which may explain both their ab- tion of luminous blue stars in the region suggests that sencefromtheemission-linesurveyofRoyer et al.(2001) the [MAC92] 24 complex could be considered a resolved and the weakness of the He II emission detected by stellar cluster, as originally suggested by Hunter (2001) Massey & Holmes(2002)inthe spectrumofthe blended basedoninspectionof WFPC2data. Comparisonof the object observed under seeing-limited conditions. The relative spatialdistributions of blue and red stars,as re- W-R candidate [MAC92] 24-B is also resolved into two vealedbyourF814Wandnear-IRdataandshowninFig. blue sources, oriented east-west. The individual compo- 13,considerablystrengthensthis proposal. Inthis figure nents of [MAC92] 24-B have colors similar to those of we have divided the stellar population into “red” and [MAC92] 24-A/N and S, but are about 2 mag. dimmer, “blue” samples based on their locations relative to the whichmakesthemcandidateearly-typeWNstars. Based 10 Myr isochrone in the CMD (Figure 11). To account on its color and magnitudes, [MAC92] 24-C appears to forphotometricerrorswealsoincludeinthebluesample be a late O V star. High spatial resolution spectroscopy those stars that lie redward of this isochrone within a is needed to confirm our proposed spectral types for the swathofwidthequaltothatofthe1σ uncertaintyinthe various components of [MAC92] 24. [F814W]−K′ color. The abundance of W-R stars relative to O stars is a Withthisdefinition,theredstarsappeartobefarmore