10
arXiv:1505.05279v1 [astro-ph.SR] 20 May 2015 S The Astronomical Journal Preprint typeset using L A T E X style emulateapj v. 5/2/11 PHOTOMETRIC AND PROPER MOTION STUDY OF NEGLECTED OPEN CLUSTER NGC 2215 M.T. Fitzgerald 1,2 , L. Inwood 3 , D.H. McKinnon 2 , W. S. Dias 5,6 , M. Sacchi 4 , B. Scott 7 ,M. Zolinski 7 , L. Danaia 4 , R. Edwards 7 The Astronomical Journal ABSTRACT Optical UBVRI photometric measurements using the Faulkes Telescope North were taken in early 2011 and combined with 2MASS JHK s and WISE infrared photometry as well as UCAC4 proper motion data in order to estimate the main parameters of the galactic open cluster NGC 2215 of which large uncertainty exists in the current literature. Fitting a King model we estimate a core radius of 1.12 ±0.04 (0.24±0.01pc) and a limiting radius of 4.3 ±0.5 (0.94±0.11pc) for the cluster. The results of isochrone fits indicates an age of log(t)=8.85 ± 0.10 with a distance of d = 790 ± 90pc, a metallicity of [F e/H ]= -0.40 ± 0.10 dex and a reddening of E(B - V )=0.26 ± 0.04. A proportion of the work in this study was undertaken by Australian and Canadian upper secondary school students involved in the Space to Grow astronomy education project, and is the first scientific publication to have utilized our star cluster photometry curriculum materials. Subject headings: Methods: observational — open clusters and associations : general — open clusters and associations : individual (NGC 2215) — Techniques: photometric 1. INTRODUCTION Open clusters have been used both for studies of stellar evolution and for dynamics and evolution of the Galactic disk. Compilations of fundamental parameters of these objects can be found in the catalogues of Dias et al. (2002a) and WEBDA (Mermilliod 1988). However, of the 2174 open clusters cataloged only 400 clusters have been investigated with modern high quality CCD obser- vations (Netopil et al. 2010), thus indicating the need in many cases to make further observations and analyses that allow a deeper, more precise and complete picture of stellar clusters within the Galaxy. This is especially true for NGC 2215, which is located in the third quad- rant, a region that needs the largest number of results to improve the characterization of the Galaxy. The open cluster NGC 2215 has a variety of diverg- ing estimates for its distance, age, reddening and diam- eter over the last five decades with no previous metallic- ity estimates. These are outlined in Table 1. The first known study of open cluster NGC 2215 (Right Ascension 06 h 20 m 54 s , Declination -07 17 42 ′′ ,J2000.0 and galac- tic latitude 216.01417 , galactic longitude -10.0896 ) was published by Becker (1960) using data collected from photographic plates to produce the first color-magnitude diagram (CMD) containing 33 stars down to V 15.5 with d = 995pc, E(B - V )=0.10 and 2.9pc (10 ) in diameter. Few photometric follow up studies to the original con- 1 Department of Physics & Astronomy, Macquarie University, Sydney, Australia 2 Institute for Education Research, Edith Cowan University, Joondalup, WA, Australia 3 Denison College, Bathurst Campus, Australia 4 Charles Sturt University, Bathurst, Australia 5 UNIFEI, Instituto de F´ ısica e Q´ ımica, Universidade Federal de Itajub´ a, MG, Brazil 6 Instituto de Astronomia, Geof´ ısica e Ciˆ encias Atmosf´ ericas, Universidade de S˜ao Paulo, Cidade Universit´aria, 7 West Kildonan Collegiate, Winnipeg, Manitoba, Canada TABLE 1 Previously Estimated Parameters for NGC 2215. If later estimates appear to be quoted from earlier studies, these estimates have been left blank. Reference D E(B - V ) Age Diam (pc) mag log(t) ( ) Becker (1960) 995 0.1 Becker & Feinhart (1971) 1932 0.33 18.8 Maitzen et al. (1981) 0.244 7.6 Pandey et al. (1989) 8.55 Frandsen & Arentoft (1998) 980 0.31 8.8 Kharchenko et al. (2005) 1298 0.3 8.43 33.6 Loktin et al. (2001) 1293 0.300 8.369 7 Bukowiecki et al. (2011) 1265 0.37 8.45 8.8 ducted by Becker (1960) are reported. One is indicated in Becker & Fenkart (1971) as a personal communica- tion although no actual paper has been able to be found. Their parameters were d = 1225pc, E(B - V )=0.33 and a size of 3.6pc (10.1 ). Maitzen et al. (1981) report the Becker (1960) distance but report E(B - V )=0.244 us- ing more sensitive Str¨ omgren (1966) photometry. They also estimate log(t)=7.6 from the (B-V) turnoff at- tributed to Cannon (1970) who cites Becker (1960) as the original source. Later papers report discordant ages, distances and reddening. Pandey et al. (1989) reports log(t)=8.55. Perez (1991) lists in his Table 1 data attributed to Becker & Fenkart (1971) d = 1225pc and E(B - V )= 0.33. Becker & Fenkart (1971), however, report the distance as 1932pc and a diameter of 10pc (17.8 ). Frandsen & Arentoft (1998) report log(t)=8.8, d = 980pc and an E(B - V )=0.31. The Catalogue of Open Cluster Data (Kharchenko 2005) lists the data derived from ASCC-2.5 (Kharchenko et al. 2001) to this cluster as: (E(B - V )=0.30, (m - M ) = 10.55 (1293pc), log(t)=8.43 and diameter of the cluster of 6pc (16.8 ), from only a small number (12) of brighter stars. Similarly, the data recorded in the

ATEX style emulateapjv. 5/2/11ducted by Becker (1960) are reported. One is indicated in Becker & Fenkart (1971) as a personal communica-tion although no actual paper has been able

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Page 1: ATEX style emulateapjv. 5/2/11ducted by Becker (1960) are reported. One is indicated in Becker & Fenkart (1971) as a personal communica-tion although no actual paper has been able

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The Astronomical JournalPreprint typeset using LATEX style emulateapj v. 5/2/11

PHOTOMETRIC AND PROPER MOTION STUDY OFNEGLECTED OPEN CLUSTER NGC 2215

M.T. Fitzgerald1,2, L. Inwood 3, D.H. McKinnon2, W. S. Dias5,6, M. Sacchi4,B. Scott7,M. Zolinski7, L. Danaia4, R. Edwards7

The Astronomical Journal

ABSTRACT

Optical UBVRI photometric measurements using the Faulkes Telescope North were taken in early2011 and combined with 2MASS JHKs and WISE infrared photometry as well as UCAC4 propermotion data in order to estimate the main parameters of the galactic open cluster NGC 2215 of whichlarge uncertainty exists in the current literature. Fitting a King model we estimate a core radiusof 1.12′±0.04′ (0.24±0.01pc) and a limiting radius of 4.3′±0.5′ (0.94±0.11pc) for the cluster. Theresults of isochrone fits indicates an age of log(t) = 8.85± 0.10 with a distance of d = 790± 90pc, ametallicity of [Fe/H ] = −0.40±0.10 dex and a reddening of E(B−V ) = 0.26±0.04. A proportion ofthe work in this study was undertaken by Australian and Canadian upper secondary school studentsinvolved in the Space to Grow astronomy education project, and is the first scientific publication tohave utilized our star cluster photometry curriculum materials.Subject headings: Methods: observational — open clusters and associations : general — open clusters

and associations : individual (NGC 2215) — Techniques: photometric

1. INTRODUCTION

Open clusters have been used both for studies of stellarevolution and for dynamics and evolution of the Galacticdisk. Compilations of fundamental parameters of theseobjects can be found in the catalogues of Dias et al.(2002a) and WEBDA (Mermilliod 1988). However, ofthe 2174 open clusters cataloged only ≈400 clusters havebeen investigated with modern high quality CCD obser-vations (Netopil et al. 2010), thus indicating the needin many cases to make further observations and analysesthat allow a deeper, more precise and complete pictureof stellar clusters within the Galaxy. This is especiallytrue for NGC 2215, which is located in the third quad-rant, a region that needs the largest number of results toimprove the characterization of the Galaxy.The open cluster NGC 2215 has a variety of diverg-

ing estimates for its distance, age, reddening and diam-eter over the last five decades with no previous metallic-ity estimates. These are outlined in Table 1. The firstknown study of open cluster NGC 2215 (Right Ascension06h20m54s, Declination -07◦17′ 42′′,J2000.0 and galac-tic latitude 216.01417◦, galactic longitude -10.0896◦) waspublished by Becker (1960) using data collected fromphotographic plates to produce the first color-magnitudediagram (CMD) containing 33 stars down to V ≈15.5with d = 995pc, E(B − V ) = 0.10 and 2.9pc (10′) indiameter.Few photometric follow up studies to the original con-

1 Department of Physics & Astronomy, Macquarie University,Sydney, Australia

2 Institute for Education Research, Edith Cowan University,Joondalup, WA, Australia

3 Denison College, Bathurst Campus, Australia4 Charles Sturt University, Bathurst, Australia5 UNIFEI, Instituto de Fısica e Qımica, Universidade Federal

de Itajuba, MG, Brazil6 Instituto de Astronomia, Geofısica e Ciencias Atmosfericas,

Universidade de Sao Paulo, Cidade Universitaria,7 West Kildonan Collegiate, Winnipeg, Manitoba, Canada

TABLE 1Previously Estimated Parameters for NGC 2215.

If later estimates appear to be quoted from earlierstudies, these estimates have been left blank.

Reference D E(B − V ) Age Diam(pc) mag log(t) (′)

Becker (1960) 995 0.1Becker & Feinhart (1971) 1932 0.33 18.8Maitzen et al. (1981) 0.244 7.6Pandey et al. (1989) 8.55

Frandsen & Arentoft (1998) 980 0.31 8.8Kharchenko et al. (2005) 1298 0.3 8.43 33.6

Loktin et al. (2001) 1293 0.300 8.369 7Bukowiecki et al. (2011) 1265 0.37 8.45 8.8

ducted by Becker (1960) are reported. One is indicatedin Becker & Fenkart (1971) as a personal communica-tion although no actual paper has been able to be found.Their parameters were d = 1225pc, E(B−V ) = 0.33 anda size of 3.6pc (10.1′). Maitzen et al. (1981) report theBecker (1960) distance but report E(B−V ) = 0.244 us-ing more sensitive Stromgren (1966) photometry. Theyalso estimate log(t) = 7.6 from the (B-V) turnoff at-tributed to Cannon (1970) who cites Becker (1960) asthe original source.Later papers report discordant ages, distances and

reddening. Pandey et al. (1989) reports log(t) = 8.55.Perez (1991) lists in his Table 1 data attributed toBecker & Fenkart (1971) d = 1225pc and E(B − V ) =0.33. Becker & Fenkart (1971), however, report thedistance as 1932pc and a diameter of 10pc (17.8′).Frandsen & Arentoft (1998) report log(t) = 8.8, d =980pc and an E(B − V ) = 0.31.The Catalogue of Open Cluster Data (Kharchenko

2005) lists the data derived from ASCC-2.5 (Kharchenkoet al. 2001) to this cluster as: (E(B − V ) = 0.30,(m − M) = 10.55 (1293pc), log(t) = 8.43 and diameterof the cluster of 6pc (16.8′), from only a small number(12) of brighter stars. Similarly, the data recorded in the

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2 Fitzgerald et al.

Fig. 1.— BVR Color Image made from images used in this study.North is up, East is left. The field is roughly 9′×9′.

Dias et al. (2002a) catalogue of open clusters reportssimilar parameters, taken from Loktin et al. (2001)but with a visual estimate of the angular diameter of(7′), initially from Lynga (1987). A recent 2MASS IRstudy (Bukowiecki et al. 2011) estimates d = 1265pc,E(B − V ) = 0.37, log(t) = 8.45 and a diameter of 8.8′.These parameters appear to be inconsistent with thosereferred above. Thus, this paper attempts to clarify thedisparate parameters attributed to this cluster.

2. OBSERVATIONS

UBVRI observations of open cluster NGC 2215 weretaken on January 27th 2011 using the Merope CCD Cam-era attached to the robotically controlled 2-metre FaulkesTelescope North at Haleakala, Hawaii operated by LasCumbres Observatory Global Telescope (Brown et al.2013). The pixel scale of the camera was 0.2785′′/pixel in2×2 binning mode with a 4.7′×4.7′ field of view. As thecluster itself was assumed to be larger than this field ofview, five separate overlapping fields were taken with 3-5short exposures per filter (U=200s, B=60s,V=40s,R=25sand I=15s) and 3 additional longer exposures (B=400s,V=300s, I=75s) of the central 4.7′×4.7′. Bias and flat-field frames were taken and the science frames reduced atthe telescope automatically prior to delivery to the ob-server. These images then had cosmic rays and bad pixelsdetected and removed using STARLINK (Disney & Wal-lace 1982) internal routines as well as the L.A.Cosmic al-gorithm (Dokkum 2001). An accurate WCS in the ICRSfor each image was obtained using astrometry.net soft-ware (Lang et al. 2010). A BVR mosaic of the full fieldof view is shown in Figure 1. The typical seeing in all ofthese images was ≈1.2′′.Multiple observations of the SA98, RU149 and PG0918

Landolt standard fields (Landolt 1992, 2009, Clem &Landolt 2013) surrounding the main observations were

TABLE 2Coefficients of the calibration equations.

Zeropoint Extinction Color Term rmsu1 = 22.119(43) u2 = −0.429(39) u3 = −0.006(03) 0.011b1 = 23.565(32) b2 = −0.190(29) b3 = +0.046(03) 0.013v1 = 23.490(25) v2 = −0.114(22) v3 = −0.084(02) 0.010r1 = 23.391(42) r2 = −0.051(37) r3 = −0.063(02) 0.013i1 = 23.370(54) i2 = −0.023(47) i3 = +0.064(01) 0.018

used to calibrate the images to the standard Johnsonsystem using an ordinary linear squares regression fit.The calibration equations used are of the form:

U = u+ u1 + u2X + u3(U −B) (1)

B = b+ b1 + b2X + b3(B − V ) (2)

V = v + v1 + v2X + v3(B − V ) (3)

R = r + r1 + r2X + r3(V −R) (4)

I = i+ i1 + i2X + i3(V − I) (5)

where upper case letters represent the magnitudes andcolors in the standard system and lower case letters wereadopted for the instrumental magnitudes and X is theairmass. Observations made were only kept if there wasa corresponding observation in a filter that facilitated acolor correction. The range of airmass was quite short(≈1.0 to ≈1.2) and the range of colors spanned from (B-V)≈0 to ≈2.0. The multiple observations of the clusteritself are in the range of airmass 1.13 to 1.17.The coefficient values are reported in Table 2, where

the numbers in brackets refer to the error in the last fig-ures of the provided coefficient. Figure 2 shows the dif-ferences between our observed photometry and the Clem& Landolt (2013) catalogue values for, on average, 48observations per filter. A photometric solution with rmsof ≈0.01 mags in UBVR and ≈0.02 in I were achieved.It is particularly notable that the U band has an uncom-monly low color term. From four other observing nightsusing the same observational setup, the mean U bandcolor term has been estimated to be −0.033± 0.012 andthe BVRI color terms are also similarly comparable tothose obtained on this night.

3. OBSERVATIONAL PARAMETERS, MEASUREMENTSAND RESULTS

All astrometric and photometric measurements madein this study as well as proper motion data obtained fromUCAC4 (Zacharias et al. 2013) and photometric datafrom 2MASS (Skrutskie et al. 2006) and WISE (Wrightet al. 2010) are given in an online data file, with the for-mat as shown in Table 3 contained within the Appendix.

3.1. Photometry

Photometry of our images was undertaken via aper-ture photometry using Aperture Photometry Tool (APT)(Laher et al. (2012)). Aperture photometry using a 4pixel radius (r≈FWHM) aperture was performed usingAPT with aperture corrections for all measured stars.The sky was estimated for each star using the mode valueper pixel for the local area of the image.As there were multiple images taken of multiple over-

lapping fields, the number of measurements per star perfilter range from 1 to 13 depending on their position in

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Photometric and Proper Motion Study of NGC 2215 3

14.0 14.2 14.4 14.6 14.8 15.0 15.2U

∆U

14.0 14.5 15.0 15.5 16.0B

∆B

13.0 13.5 14.0 14.5 15.0V

∆V

13.0 13.5 14.0 14.5R

∆R

12.5 13.0 13.5 14.0 14.5I

∆I

0.0 0.2 0.4 0.6 0.8 1.0 1.2 1.4(U-B)

−0.10

−0.05

0.00

0.05

0.10

∆U

0.5 1.0 1.5 2.0(B-V)

−0.10

−0.05

0.00

0.05

0.10

∆B

0.3 0.4 0.5 0.6 0.7(V-R)

−0.10

−0.05

0.00

0.05

0.10

∆V

0.3 0.4 0.5 0.6(R-I)

−0.10

−0.05

0.00

0.05

0.10

∆R

0.7 0.8 0.9 1.0 1.1 1.2 1.3(V-I)

−0.10

−0.05

0.00

0.05

0.10

∆I

Fig. 2.— Residuals of the fit to the standard stars for the night.The rms residuals of the transformations to the standard systemare: ∆U = 0.011; ∆B = 0.013; ∆V = 0.010; ∆R = 0.013; ∆I =0.018.

10 12 14 16 18 20Magnitude

0.00

0.01

0.02

0.03

0.04

0.05

0.06

0.07

Magnitude Error

IRVBU

Fig. 3.— Estimated photometric errors in the standard systemin aperture photometry.

the field. These measurements were corrected for airmassand zeropoint then averaged together using the inverseof their estimated photometric error as weights to ac-commodate the different possible exposure times. Thisweighted mean magnitude corrected for airmass and ze-ropoint terms was then corrected for the color term.Our instrumental photometric errors were combined

with the errors propagated from the coefficients in thestandard solution. The final errors are presented in Fig-ure 3.

3.2. Comparison to Previous Photometry

12 13 14 15 16 17 18 19 20DAOPhot V Magnitude

−0.10

−0.05

0.00

0.05

0.10

DAO-APT M

agnitude

Fig. 4.— Comparison between results from DAOPhot PSF andAPT aperture photometry (APT). Dots are data points, line rep-resents the 3σ combined estimated total photometric error.

As this is the first scientific use of APT to suchdepth that we are aware of, we compare our cali-brated APT aperture photometry to calibrated PSFphotometry using the latest version of DAOPhot (Stet-son 1987) via the automated ALLPHOT (available fromgithub.com/sfabbro/allphot) scripts. We find that veryacceptable convergence between DAOPhot and APT. Wepresent these results in Figure 4.We have compared our aperture photometry mag-

nitudes to those available in roughly similar wave-bands from all-sky surveys. We compare our B andV magnitudes to those available in the eighth data re-lease of APASS (Henden et al. 2009). Our V mag-nitudes (∆V =0.012±0.033) and our B magnitudes(∆B =0.024±0.019) agree well with APASS magnitudes.Comparing our data to DENIS I (Epchtein et al. 1994,Deul et al. 1995) photometry, our results are not signifi-cantly (0.03±0.08) different.A further night of observations were collected using the

same telescope and methodology as within this paperin March 2013 but only of the central 4.7′×4.7′ of thefield of view with only two science images per filter. Thenight was only borderline photometric with poorer (≈2”)seeing, but had a larger airmass coverage (≈1.0 to ≈1.5)and similarly high quality color coverage. Comparingthe observations on the two nights shows that the 2011observations used in this paper agreed with the later 2013comparison images. The mean differences in each filterare: ∆U = −0.049± 0.034,∆B = −0.012± 0.051,∆V =−0.012 ± 0.084,∆R = −0.034 ± 0.040,∆I = −0.030 ±

0.033.

3.3. Size of Cluster

To estimate the central co-ordinates and the size of thecluster, a King model (King 1962) was fitted to a Ra-dial Density Profile (RDP) using both a traditional star-count method as well as a photometry based method. Inthe photometric method we essentially performed the ra-dial count directly on the DSS image. For the starcountmethod we used the USNO-B1, 2MASS and WISE cata-logues. For the photometric method we used three (blue,red and IR) DSS images.We would have preferred to use our own CCD images

and star counts as the source data, but as the clusteritself is on the order of the same angular size as the image,there was insufficient background to fit a King model. Weinitially fit a King model by varying the core radius and

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4 Fitzgerald et al.

0 5 10Radial Distance (Arcminutes)

1000

1500

2000

2500

Counts per Pixel

0 5 10Radial Distance (Arcminutes)

1000

1500

2000

Counts per Pixel

0 2 4 6 8 10Radial Distance (Arcminutes)

400600800

10001200

Counts per Pixel

0 2 4 6 8 10Radial Distance (Arcminutes)

500100015002000250030003500

Stars / Sq. Degree

0 2 4 6 8 10Radial Distance (Arcminutes)

500100015002000250030003500

Stars / Sq. Degree

0 2 4 6 8 10Radial Distance (Arcminutes)

500

1000

1500

Stars / Sq. Degree

Fig. 5.— The six radial density plots used to estimate the coreand limiting radius of the cluster. From the top, the data sourcesare DSS Blue, DSS Red, DSS IR, WISE, 2MASS and USNO-B1

peak density roughly by eye, then used least squares tofind the best fit to the data. The specific King-like modelused was that outlined by Maciejewski and Niedzielski(2007) defined using ρ(r) = fbg +

f0

1+( rrcore

)2and rlim =

rcore√

f03σbg

− 1, where σbg is the background density, f0

the central density of stars, and rcore the core radius.Using the method outlined in

Maciejewski and Niedzielski (2007), the central co-ordinates of the cluster were estimated to be RightAscension 06h20m54s, Declination -07◦17′42′′. Individ-ual King model fits to each RDP were made and areshown in Figure 5. From the mean values from thesemodel fits, the core radius, Rc = 1.12′ ± 0.04′ and the

0.0 0.5 1.0 1.5(B-V) Colour Index

0.0

0.5

1.0

1.5

(U-B) Colour Index

Fig. 6.— Color-Color Diagram used for initial E(B − V ) andmetalicity estimation. Dotted lines is the original solar metallicityisochrone, solid lines are corrected isochrones showing the metal-licity estimation ([Fe/H] = −0.4 dex) via isochrone correction viathe principle of the (U−B)0.6 excess. White dots indicate the starhas a low proper motion membership probability.

limiting radius, Rlim = 4.3′ ± 0.5′ were determinedleading to a concentration value, c = Rc/Rlim, of 0.26.The implied 8.6′ ± 1.0′ diameter is similar to thoseestimated qualitatively by Dias et al. (2002a) andBecker & Fenkart (1971).

3.4. Metallicity, Reddening and Extinction

(U-B) vs (B-V) Color-Color diagrams were plotted ini-tially against solar near-ZAMs (log(t) = 6.6) isochrones(Girardi et al. 2002). The (U-B) vs (B-V) diagram iswell known to be very useful in estimating reddening buta less commonly utilised property of this diagram, is thatit can also be used to estimate the metallicity of the clus-ter. We used the δ(U − B)0.6 ultraviolet excess methodinitially outlined by Sandage (1969) and further refinedby Cameron (1985) and Karatas & Schuster (2006) byeffectively exploiting the same principle by fitting thedata using a grid of isochrones that vary in metallicityrather than focussing on a single deviation at a particular(B-V=0.6) color.We initially vary the E(B-V) using a solar metallic-

ity isochrone to roughly fit our UBV data assuming avalue for Rv of 3.1 (Winkler 1997) for which we obtainedE(B−V ) ≈ 0.26. At this stage we can increase the age ofthe isochrone to a rough lower age limit (log(t)≈ 8.8) dueto the lack of OB and early A type main sequence starswhich results in a shortened isochrone with a slightly dif-ferent shape. This is shown as the dotted line isochronein Figure 6. We can then shift the metallicity to cor-rect for the δ(U − B)0.6 ultraviolet excess, and in sodoing be confident that we are finding a good estimateof the metallicity, as shown by the solid line in Figure6. In this case, the best visual isochrone fit is Z=0.004,which translates into [Fe/H ] = −0.4 ± 0.1 dex. Com-paring the δ(U −B)0.6 of ≈ 0.1 mag from this isochronefit to the calibration of Karatas & Schuster (2006), we

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Photometric and Proper Motion Study of NGC 2215 5

find an [Fe/H ] of ≈ −0.38 dex, confirming our isochronemethod is, essentially, very similar to the ultraviolet ex-cess method. However, there is a subtle difference, inthat the shape of the isochrone does subtly change at allcolors with age, presumably leading to a variation in theultraviolet excess and while this is a fairly small change,it would be non-zero.Our overall reddening E(B −V ) = 0.26± 0.04 is quite

heavily constrained using this diagram. The error es-timate is from visual inspection as the most extremereddening that could be visually plausible for that par-ticular metallicity. Most of the prior estimates of red-dening from shallower broadband photometric data asshown in Table 1 are around E(B − V ) ≈ 0.3, and? dust maps imply an E(B − V ) of 0.372, althoughthis close to the Galactic plane this value can only beapproximate at best and represents total extragalacticextinction rather than a typical within-Galaxy extinc-tion. However the more reddening-sensitive Stromgrenphotometry from Maitzen et al. (1981) is very close atE(B − V ) = 0.244, which gives confidence in our lowerbroadband reddening estimations. Also, this reddeningseems quite typical, and in fact is roughly the mean value,for stellar clusters at these galactic co-ordinates (Vazquezet al. 2008).

3.5. Mean Cluster Proper Motion, MembershipProbability and Field Star Rejection

Astrometric reduction of our images were made usingthe astrometry.net software (Lang et al. 2010) while thepositions were estimated from the pixel centroid outputsfrom APT. From these positions, the UCAC4 propermotions and 2MASS and WISE photometries were ex-tracted via Vizier (Ochsenbein et al. 2000).The optimum sampling radius of 4.5′ was determined

using UCAC4 data following the recipe of Sanchez et al.(2010). This agrees satisfactorily with the limiting ra-dius of the cluster presented previously. Following themethod outlined in Dias et al. (2006) we applied theZhao & He (1990) statistical method to UCAC4 starsin the area using the central coordinates and optimumsampling radius previously mentioned.Briefly, the method consisted in fitting the observed

distribution of proper motions with two overlapping nor-mal bivariate frequency functions, an elliptical one forthe field stars and a circular one for the cluster stars,weighting the stellar proper motions with different er-rors. With the frequency function parameters we coulddetermine the individual probability of the membershipof each star in the cluster, as suggested by Zhao & He(1990).We obtained the mean proper motion for the cluster of

µαcosδ = +1.2±0.4 mas/yr and µδ = −5.3±0.4 mas/yr,the field proper motion of µαcosδ = −1.8 ± 2.9 mas/yrand µδ = −5.9 ± 2.2 mas/yr. These results comparewell with previous estimates by Dias et al. (2002b) fromTycho2 data of µαcosδ = +2.61± 0.58 mas/yr and µδ =−5.60± 0.58 mas/yr.Figure 7 presents the vector proper motion diagram of

the 105 UCAC4 stars in the cluster’s region while alsoshowing the field and cluster mean proper motions andstandard deviations. In this work, we consider as kine-matic members 51 stars with P ≥ 61%. There are sevenhigher proper motion stars within our field of view and

−30 −20 −10 0 10 20 30RA Proper Motion (mas/yr)

−40

−30

−20

−10

0

10

20

30

Dec Proper Motion (mas/yr)

Fig. 7.— Proper Motion Diagram of stars measured in UCAC4catalogue within the region of radius of 4.5′ from the central coor-dinates of NGC2215. Filled circles have cluster probabilities above0.61, empty circles have cluster probabilities below 0.61, the dashedcircle represents the mean cluster proper motion 3σ range.

0.0 0.5 1.0 1.5 2.0(B-V) Colour Index

10

12

14

16

18

20

Apparent V M

agnitude

Fig. 8.— Color Magnitude Diagram of all stars measured withphotometric errors less than 0.1 mag and radial distance from thecenter of the cluster less than 4 arcminutes. Circular symbols rep-resent stars rejected as non-members from the cluster, plus symbolsrepresent stars with no proper motion data available, filled circleshave cluster probabilities above 0.61.

measured photometrically that are outside the plottingbounds of Figure 7. A CMD showing the kinematic mem-bers is presented in Figure 8. Although there is still con-tamination of field stars due to limitation of the methodand data, one can clearly see the signature of the clusterwhen considering only the kinematic member stars. Thiskinematic membership was used primarily to remove ob-vious non-members in order to achieve a more accuratevisual fit.

4. COMBINATION OF OPTICAL PHOTOMETRY WITH2MASS AND WISE

In an endeavour to provide further constraints to ourparameter estimates, we combined our optical photome-

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6 Fitzgerald et al.

try with near-IR data available from 2MASS and WISEall-sky surveys. After crossmatching the optical datawith the infrared data, multiple CMDs across the en-tire optical/near-IR/mid-IR spectrum were used to visu-ally fit isochrones using custom-designed software. It wasfound that comparing the optical CMDs to the infraredCMDs very heavily constrained the plausible values forstellar population parameters as even slight adjustmentsaway from the optimal parameters led to large differencesin quality of fit at opposite ends of the spectral range.The visual fit was performed simultaneously in the

optical and IR considering as initial the pre-estimatedvalues of E(B-V) and metallicity via the color-color di-agram. To determine the fundamental parameters weadopted the extinction ratios provided by Cardelli etal. (1989), considering as usual RV = 3.1. We usedisochrones of (Girardi et al. 2002) obtained from Padovadatabase of stellar evolutionary tracks and isochrones.The CMDs with the final isochrone fits to the data

are presented in Figure 9. The stellar population of thecluster is very heavily constrained as the bright end ofthe main sequence can be easily distinguished, with finalparameters estimated to be d = 790± 90pc, E(B−V ) =0.26± 0.04, log(t) = 8.85± 0.10 and Fe/H = −0.4± 0.1dex. The uncertainties were estimated to accommodatethe values derived from the extreme visual fittings onsimultaneous CMDs. A possible background populationis apparent at (log(t) ≈ 9.65, d ≈ 4kpc, E(B−V ) ≈ 0.36and Fe/H ≈ −0.8) which could be the population of thePerseus spiral arm.

5. CONCLUSION

In this paper we have undertaken a UBVRI, 2MASSJHKs and WISE W1/W2 photometric data and UCAC4proper motion to study the relatively neglected Galacticopen cluster, NGC 2215. We have shown that the com-bination of optical and infrared data can be incrediblyconstraining in fitting stellar isochrones to observationaldata. While the distance parameter is relatively triv-ial, changes in metallicity, age or reddening parametersaway from the optimal solution have fairly dramatic im-pacts on the quality of fit across the optical to infrared

spectrum, heavily constraining the fit in a much strongermanner than using optical or infrared data alone. In asimultaneous visual fit we estimated the final parame-ters to be d = 790 ± 90pc, E(B − V ) = 0.26 ± 0.04,log(t) = 8.85±0.10 and [Fe/H ] = −0.4±0.1 dex. This isthe first estimate of the [Fe/H ] for the open cluster NGC2215. Using the UCAC4 data the mean proper motionof NGC 2215 was estimated to be µαcosδ = +1.2 ± 0.4mas/yr, µδ = −5.3± 0.4 mas/yr.Applying the King model fit in the radial density

profiles of multiple sources of data we estimate a coreradius of 1.12′±0.04′ (0.24±0.01pc) and a limiting ra-dius of 4.3′±1.5′ (0.94±0.11pc) for the cluster. A largepart of the initial scientific work within this projectwas undertaken by upper secondary school students in-volved in the Space to Grow astronomy education project(Danaia et al. (2012)) in Australia and Canada.

We acknowledge the support of LCOGT.net whose pro-vision of time on the Faulkes Telescopes has enabled thisand other education/science crossover projects to takeplace. W. S. Dias acknowledges the Sao Paulo Stateagency FAPESP (fellowship 2013/01115-6). This re-search has made use of the VizieR catalogue access tool,CDS, Strasbourg, France. This research has made use ofAladin. In addition, this research has made use of theWEBDA database, operated at the Institute for Astron-omy of the University of Vienna. This publication alsomakes use of data products from the Wide-field InfraredSurvey Explorer, which is a joint project of the Universityof California, Los Angeles, and the Jet Propulsion Labo-ratory/California Institute of Technology, funded by theNational Aeronautics and Space Administration. Thispublication makes use of data products from the TwoMicron All Sky Survey, which is a joint project of theUniversity of Massachusetts and the Infrared Processingand Analysis Center/California Institute of Technology,funded by the National Aeronautics and Space Admin-istration and the National Science Foundation. Finally,this research made use of the cross-match service pro-vided by CDS, Strasbourg.Facilities: Faulkes Telescope North.

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20:4, 607Lynga, G. 1987, Computer Based Catalogue of Open Cluster

Data, 5th ed. (Strasbourg: CDS)Maitzen, H.M., Seggewiss, W., Tueg, H. 1981, A&A, 96, 174Maciejewski, G., Niedzielski, A. 2007, A&A, 467, 1065Mermilliod, J.C. 1988, Bull. Inform. CDS 35, 77Netopil, M., Paunzen, E., Stutz, C. 2010, Star Clusters in the Era

of Large Surveys, A& SS Proceedings 2012, pp 53-61Ochsenbein, F., Bauer, P., Marcout, J. 2000, A&ASS 143, 23Pandey, A. et al. 1989, MNRAS, 236, 263Perez 1991, RexMAA, 22, 99Sanchez, N., Vicente, B., Alfaro, E.J. 2010 A&A, 510, A78Sandage, A. 1969 AJ, 158, 1115Skrutskie, M.F., et al. 2006, AJ, 131, 1163Stetson, P., 1987, PASP, 99, 191

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Photometric

andProper

Motio

nStudyofNGC

2215

7

Fig. 9.— Color Magnitude Diagrams of the NGC 2215. The UBVRI photometric measurements refes to our data, JHKs are data from 2MASS and W1 and W2 are data fromWISE. Overplotted are best fit isochrones from Padova models (Girardi et al. 2002) for distances 776pc, age of log(t) = 8.8, the E(B − V ) = 0.26 and [Fe/H] = −0.4 dex.

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8 Fitzgerald et al.

Stromgren, B., 1966, ARA&A, 4, 433Winkler, H. 1997, MNRAS, 287, 481Wright, E., et al. 2010, AJ, 140, 1868

Vazquez, R.A., et al. 2008, AJ, 672, 930Zacharias, N., Finch, C. T., Girard, T. M., et al. 2013, AJ 145, 44Zhao, J.L., He, Y.P., 1990, A&A, 237, 54

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Photometric and Proper Motion Study of NGC 2215 9

APPENDIX

EXAMPLE OF SAMPLE DATA

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Fitzgerald

etal.

TABLE 3Excerpt Sample of Online Data

ID RA Dec U errU B errB V errV R errR I errI81 95.17041 -7.287 17.015 0.020 16.681 0.015 15.773 0.012 15.259 0.012 14.792 0.02582 95.17075 -7.266 nan nan 19.610 0.016 18.955 0.012 18.533 0.015 18.115 0.02583 95.17084 -7.295 nan nan 21.371 0.031 19.802 0.014 18.883 0.017 18.060 0.02584 95.17111 -7.320 nan nan 18.775 0.017 17.915 0.014 17.376 0.014 16.910 0.02685 95.17118 -7.291 19.433 0.025 19.164 0.016 18.194 0.012 17.653 0.013 17.154 0.02586 95.17119 -7.318 nan nan 19.177 0.018 18.165 0.014 17.543 0.014 16.983 0.02687 95.17122 -7.329 nan nan 13.560 0.015 13.045 0.012 12.729 0.012 12.430 0.02588 95.17155 -7.278 16.765 0.019 16.644 0.015 15.952 0.012 15.527 0.012 15.096 0.02589 95.17253 -7.342 nan nan 14.263 0.015 13.563 0.012 13.155 0.012 12.763 0.02590 95.17291 -7.284 17.630 0.019 16.929 0.015 15.780 0.012 15.141 0.012 14.527 0.025

J errJ H errH Ks errKs W1 errW1 W2 errW2 µα µδ errµα errµδProbability

14.095 0.024 13.698 0.020 13.533 0.037 13.563 0.029 13.606 0.037 -0.2 -15.7 4.1 4.3 0.06

16.782 0.128 16.216 0.149 15.491 0.200 16.288 0.080 17.19916.088 0.075 15.653 0.111 15.41716.368 0.093 15.730 0.108 16.314 16.189 0.077 17.16516.057 0.082 15.584 0.111 15.383 0.20511.992 0.024 11.785 0.020 11.716 0.019 11.667 0.025 11.691 0.024 -0.9 -2.8 2.5 2.9 0.9114.474 0.063 14.179 0.046 14.039 0.07212.201 0.024 11.856 0.020 11.766 0.021 11.712 0.024 11.739 0.024 14.4 -8.8 2.5 2.9 013.668 0.029 13.056 0.020 12.901 0.030 12.796 0.026 12.861 0.029

From left to right, these values are our 1) ID#, 2) Right Ascension in Degrees, 3) Declination in Degrees, 4 & 5) U magnitude and error, 6 & 7) B magnitude and error, 8 & 9) Vmagnitude and error, 10 & 11) R magnitude and error, 12 & 13) I magnitude and error, 14 & 15) 2MASS J magnitude and error, 16 & 17) 2MASS H magnitude and error, 18 & 19)2MASS K magnitude and error, 20 & 21) WISE W1 magnitude and error, 22 & 23) WISE W2 magnitude and error, 24) Proper Motion in Right Ascension (mas/yr), 25) ProperMotion in Declination (mas/yr), 26) RA proper motion error, 27) Dec proper motion error, 28) Proper Motion Membership Probability