Revista Mexicana de Astronomı́a y Astrofı́sica, 46, 385–430 (2010)
CCD UBVRI PHOTOMETRY OF THE GALACTIC OPEN
CLUSTERS1 : BE 89, RU 135, AND BE 10
İnci Akkaya,2 William J. Schuster,3 Raúl Michel,3 Carlos Chavarrı́a-K,3 André Moitinho,4
Roberto Vázquez,3 and Yüksel Karataş5
Received 2009 May 15; accepted 2010 August 15
RESUMEN
© Copyright 2010: Instituto de Astronomía, Universidad Nacional Autónoma de México
Presentamos los parámetros fundamentales de enrojecimiento, metalicidad,
edad y distancia de los cúmulos abiertos poco estudiados Be 89, Ru 135 y Be 10,
derivados de la fotometrı́a CCD UBVRI. Los enrojecimientos interestelares se midieron en el diagrama color-color, y las metalicidades fotométricas se derivaron
del exceso de ultravioleta de las estrellas tipo F. Las distancias y edades se obtuvieron ajustando isocronas a las secuencias observadas en cinco diagramas colormagnitud diferentes. Los promedios ponderados de los módulos de distancia y
distancias heliocéntricas [(V0 − MV ), d(kpc)] son: (11.m 90 ± 0.m 06, 2.4 ± 0.06) para
Be 89, (9.m 58 ± 0.m 07, 0.81 ± 0.03) para Ru 135 y (11.m 16 ± 0.m 06, 1.7 ± 0.05) para
Be 10, mientras que los promedios ponderados para las edades [log(A), A(Gyr)]
son: (9.58 ± 0.06, 3.8 ± 0.6) para Be 89, (9.58 ± 0.06, 3.8 ± 0.7) para Ru 135 y
(9.06 ± 0.05, 1.08 ± 0.08) para Be 10.
ABSTRACT
The fundamental parameters of reddening, metallicity, age, and distance are
presented for the poorly studied open clusters Be 89, Ru 135, and Be 10, derived from their CCD UBVRI photometry. The interstellar reddenings, E(B–V ),
were measured in the two-color diagram, and the photometric metallicities, [Fe/H],
from the ultraviolet excesses of the F-type stars. By fitting isochrones to the observed sequences of the clusters in five different color-magnitude diagrams, the
weighted averages of distance moduli and heliocentric distances [(V0 –MV ), d(kpc)]
are (11.m 90 ± 0.m 06, 2.4 ± 0.06) for Be 89, (9.m 58 ± 0.m 07, 0.81 ± 0.03) for Ru 135,
and (11.m 16 ± 0.m 06, 1.7 ± 0.05) for Be 10, and the weighted averages of the ages
[log(A), A(Gyr)] are (9.58 ± 0.06, 3.8 ± 0.6) for Be 89, (9.58 ± 0.06, 3.8 ± 0.7) for
Ru 135, and (9.06 ± 0.05, 1.08 ± 0.08) for Be 10.
Key Words: open clusters and associations: individual (Be10, Be89, Ru135) —
stars: fundamental parameters — stars: Hertzsprung-Russell and
C-M diagrams — techniques: photometric
1. INTRODUCTION
1 Based
on observations carried out at the San Pedro Mártir
National Astronomical Observatory (SPM), operated by Instituto de Astronomı́a, Universidad Nacional Autónoma de
México, Ensenada, B. C., Mexico.
2 Department of Astronomy and Space Sciences, Erciyes
University, Kayseri, Turkey.
3 Instituto
de Astronomı́a,
Universidad Nacional
Autónoma de México, Ensenada, B. C., Mexico.
4 SIM/IDL, Facultade de Ciencias da Universidade de Lisboa, Lisboa, Portugal.
5 Istanbul University, Science Faculty, Department of Astronomy and Space Sciences, Turkey.
Galactic open clusters, which contain a few tens
to a few tens of thousands of stars and are a few
parsecs across, are sparsely populated, loosely concentrated, and gravitationally bound systems. With
systematic image searches and follow-up photometric surveys, new open clusters are currently being discovered. By fitting the photometric observations of open clusters to synthetic photometry resulting from stellar models (i.e., theoretical isochrones),
which include the newest input physics, stellar structure, and differing heavy-element abundances, fun385
© Copyright 2010: Instituto de Astronomía, Universidad Nacional Autónoma de México
386
AKKAYA ET AL.
damental parameters such as interstellar reddening,
metallicity, distance modulus, and age can be precisely and accurately determined. These parameters
have great importance concerning the age-metallicity
relation and the metal-abundance gradient in the
Galactic disk (e.g., Cameron 1985; Carraro & Chiosi
1994; Friel 1995), as well as the luminosity and mass
functions of the open clusters (Piskunov et al. 2008).
Open clusters are also very useful for testing the stellar evolutionary models, given that their stars were
formed at the same time, out of the same cloud,
and under similar environmental conditions. Thus,
open clusters are ideal entities for the study of stellar
evolution since physical properties are tightly constrained, being mainly distinguished by the stellar
mass, so that theoretical models of stellar formation
and evolution can be compared with real clusters
without excessive complications. For these analyses, the fundamental parameters such as interstellar reddening, metallicity, distance modulus, and age
should be determined as precisely and accurately as
possible.
In Galactic studies, one of the more severe observational limitations is due to the absence of photometric data for nearly half of the approximately 1500
open clusters known. Furthermore, there is a lack
of homogeneity in the observations and analyses of
the clusters studied. The catalogue of Lyngå (1987),
that resulted from a collection of data from many
different sources and which includes 422 open clusters, constituted the observational basis for a large
number of astronomical studies, led to important
conclusions about the Galactic disk, and has been
very useful for planning subsequent observations by
other astronomers. However, this catalogue has been
built from parameters obtained by various authors,
with diverse observing techniques, distinct calibrations, and different criteria for determining the stellar ages, rendering it very inhomogeneous and limited for studies requiring precision in the measurement of these fundamental parameters. As an example of the precision and accuracy that one can
expect due to the effects of these inhomogeneities,
we refer to Janes & Adler (1982), who found that
distance moduli of a given cluster obtained by two
or more authors have a mean difference of 0.m 55.
Within the Sierra San Pedro Mártir, National Astronomical Observatory (hereafter SPM) open cluster project (cf. Schuster et al. 2007; Michael et al.
2010, in preparation), the aims are the following:
1. A common UBVRI photometric scale for open
clusters.
2. An atlas of color-color and color-magnitude diagrams for these clusters.
3. A homogeneous set of cluster reddenings, distances, ages, and, if possible, metallicities.
4. An increased number of old, significantly reddened, or distant, open clusters.
5. A selection of interesting clusters for further
study.
The open clusters for the present study were selected
from the large (and most complete) catalogue, “Optically visible open Clusters and Candidates” (Dias
et al. 2002), which is now also available at the Centre
de Données Astronomiques de Strasbourg (CDS)6 .
This work aims to provide the fundamental parameters of reddening, metallicity, distance modulus and
age for the open clusters Be 89, Ru 135, and Be 10.
Our final intention is to publish a set of homogeneous
photometric UBVRI data for over 300 Galactic clusters (Schuster et al. 2007; Tapia et al. 2010).
This paper is organized as follows: § 2 describes
the observations and reduction techniques. § 3 contains the derivation from the UBVRI photometry of
reddening and metallicity of the clusters from twocolor diagrams, and the inference of distance moduli
and ages from color-magnitude diagrams. Their uncertainties are also discussed. Comparisons of these
parameters with previous results from the literature
are made in § 4, and the conclusions are given in § 5.
2. OBSERVATION AND REDUCTION
TECHNIQUES
2.1. The observations
This CCD UBVRI project of northern open clusters has been undertaken at SPM using always the
same instrumental setup (telescope, CCD-detector,
and filters), observing procedures, reduction methods, and system of standard stars (Landolt 1983,
1992). A par focal set of UBVRI Johnson-Cousins
filters was used for our observations. The 0.84 m f/13
Cassegrain telescope hosted the filter-wheel “Mexman” provided with the SITE#1 (SI003) CCD camera, which has a 1024 × 1024 square pixel array and
a 24 µm × 24 µm pixel size; this CCD has nonlinearities less than 0.45% over a wide dynamical
range, no evidence for fringing even in the I band,
and Metachrome II and VISAR coverings to increase
sensitivity in the blue and near ultraviolet. The skyprojected pixel size was 0.′′393, and the field of view
6 http://www.astro.iag.usp.br/~wilton/.
UBVRI PHOTOMETRY OF OPEN CLUSTERS
TABLE 1
LANDOLT’S FIELDS OF STANDARD STARS
© Copyright 2010: Instituto de Astronomía, Universidad Nacional Autónoma de México
July 2001
February 2002
Region
Nstds
Region
Nstds
PG1528+062
PG1530+057
PG1633+099
PG1657+078
PG2213-006
PG2331+055
MARK A
3
3
5
4
4
3
4
PG0918+029
PG0942-029
PG1047+003
PG1323-086
PG1528+062
SA 95
SA104
SA107
5
5
4
5
3
5
4
4
TOTAL
26
TOTAL
35
of the detector was 6.73×6.73 arcmin2 . Here the results of UBVRI images for the open clusters Be 89,
Ru 135, and Be 10 are presented, which were acquired in July 2001 (Be 89 and Ru 135) and February 2002 (Be 10). The exposure times were typically
3×240 seconds for the U filter, 3×180 for B, 3×100
for V , 3 × 100 for R, and 3 × 120 for I. Several
standard-star fields from Landolt (1992) were observed nightly to permit the derivation of the photometric transformations to the Johnson-Cousins’ system and the atmospheric extinction coefficients. For
the July 2001 observing run, seven Landolt groups
were used, containing 26 different standard stars
with color ranges, −0.m 25 ≤ (B − V ) ≤ +1.m 14,
−1.m 09 ≤ (U −B) ≤ +1.m 14, and −0.m 30 ≤ (V −I) ≤
+1.m 14. Sixteen to twenty-five observations of these
Landolt standards were made per night. For the
February 2002 run, eight Landolt groups were employed, containing 35 different standard stars with
color ranges, −0.m 30 ≤ (B − V ) ≤ +1.m 42, −1.m 18 ≤
(U − B) ≤ +1.m 27, and −0.m 28 ≤ (V − I) ≤ +1.m 77.
Fifty-two to seventy-two observations of these Landolt standards were made per night, except one night
cut short by clouds, when only 15 observations were
managed. The standard-star fields have been observed with exposures of 1 × 240 seconds for the U
filter, 1 × 120 for B, 1 × 60 for V , 1 × 60 for R, and
1 × 60 for I. The observed Landolt fields and the
number of associated stars in each one are summarized in Table 1.
Usually one or more Landolt fields were reobserved nightly with an air-mass range of at least
0.70 in order to measure the coefficients of the atmospheric extinction of the SPM site, which has excel-
387
lent sky conditions. To improve the accuracy, precision, and efficiency of the photometric observations
when required, the filters were observed in forward
and backward sequences (i.e., UBVRI − IRVBU ),
especially for the large air-mass observations.
2.2. Data reduction
The usual (night and run) calibrations for CCD
photometry were done during each of our observing
periods (i.e., bias, twilight-sky flat fields, and darkcurrent determinations) to determine the (night and
run) mean correcting frames. Standard data reduction procedures have been used within IRAF,7 the
CCDRED and DAOPHOT tasks (aperture and PSF
photometry, see Howell 1989, 1990; Stetson 1987,
1990). More details concerning the instrumentation
and the observing and reduction procedures of this
project will be given in the near future in the succeeding paper of this project (Michel et al. 2010,
in preparation, and references therein). To obtain
the magnitudes and colors on the standard system
for the stars associated with these clusters, we followed Jordi et al. (1995), and Rosselló et al. (1988,
and references therein). We proceeded twofold: (i)
The natural magnitude of the filter N is defined as:
λN n = −2.5·log (ADU ′ s)N , where λN stands for the
corresponding filters U, B, V, R, and I, ADU ′ s for
the analog-to-digital counts, and the subscript n for
the corresponding quantity in the natural photometric system. The atmospheric extinction coefficients
for a given filter have been estimated by transforming
the nightly λN n ’s to the corresponding magnitudes
in the standard system, λN s ’s, with the following
equation:
′
λN s − λN n = (zero point)N − κN · XNn
′′
−κN,12 · XN n · (λ1 − λ2 )s ,
(1)
where XN n is the air-mass when measuring λN n .
The subscript N, 12 indicates that the color (λ1 −
λ2 )s was used to determine the second-order extinction coefficient of filter N . Here we follow the convention that the effective wavelength λ1eff < λ2eff to
construct the color (λ1 − λ2 ). Finally, for a proper
′
′′
determination of κN and κN,12 by a least squares
solution, sufficiently large ranges in the air masses
and colors of the standard stars (∆XN ≥ 0.7 and
∆(λ1 − λ2 )n ≥ 0.8 for SPM) must be obtained. Note
that the standard magnitudes and colors are known
to an accuracy of about two percent, reflected in the
7 IRAF is distributed by NOAO (operated by the Association of Universities for Research in Astronomy, Inc.) under
cooperative agreement with NSF.
388
AKKAYA ET AL.
TABLE 2
ATMOSPHERIC EXTINCTION AND TRANSFORMATION COEFFICIENTS
Color
λ1
λ2
λ3
′
′′
κ1
κ1,12
κ0,12
β12
γ12
rms
+1.625
+0.409
+2.375
+0.027
−0.151
0.711
1.016
0.033
0.973
0.923
+0.263
−0.050
−0.008
+0.011
+0.070
0.028
0.010
0.016
0.012
0.010
+1.765
+0.470
+2.455
−0.000
−0.165
0.751
0.979
0.035
1.023
1.038
+0.313
−0.023
−0.054
−0.008
+0.004
0.037
0.018
0.027
0.012
0.014
July 2001
(U − B)
(B − V )
V
(V − R)
(V − I)
U
B
V
V
V
B
V
R
R
I
V
–
–
–
–
0.472
0.243
0.106
0.104*
0.087*
−0.056
−0.050
+0.079
+0.030*
−0.035*
© Copyright 2010: Instituto de Astronomía, Universidad Nacional Autónoma de México
February 2002
(U − B)
(B − V )
V
(V − R)
(V − I)
*
U
B
V
V
V
B
V
R
R
I
V
–
–
–
–
0.325
0.212
0.082
0.054*
0.056*
−0.056
−0.050
+0.079
+0.030*
−0.035*
Indicates that extinction coefficients refer to λ2 , otherwise to λ1 .
errors of the final transformations of the (bright)
standard stars, and that the observed magnitudes
and air masses are measured quantities that can have
an even better precision. To further simplify the
equations, the extra-atmospheric instrumental magnitudes were then introduced using the extinction
coefficients of the night:
′
′′
λN i = λN n −κN ·XN n −κN,12 ·XN n ·(λ1 −λ2 )s . (2)
An instrumental color is the subtraction of two instrumental magnitudes with different passbands,
(λ1 − λ2 )i = λ1i − λ2i .
′
(ii) Once the atmospheric extinction coefficients κN
′′
and κN,12 have been determined and applied, the
nightly transformation coefficients are calculated
(i.e., β12 and γ12 ) with the following relations for
the colors:
(λ1 − λ2 )i = κ0,12 + β12 · (λ1 − λ2 )s + γ12 · (λ1 − λ2 )2s .
(3)
Due to the Balmer discontinuity that lies in both the
U and B passbands, a better transformation for the
U − B color has been achieved by substituting the
quadratic term on the right side of the above equation with a linear term in the color B − V , obtaining
the following expression:
(λ1 − λ2 )i = κ0,12 + β12 · (λ1 − λ2 )s + γ12 · (λ2 − λ3 )s ,
(4)
where λ1eff < λ2eff < λ3eff . For the case of the magnitude V , equation (3) has been used as follows:
Vi − Vs = κ01 + β12 · (λ1 − λ2 )s + γ12 · (λ1 − λ2 )2s . (5)
For equations (3)–(5), κ0,12 and κ01 are the zeropoints of the transformations of the colors (λ1 −λ2 )s ,
i.e., U − B, B − V , V − R, V − I, etc., and of the
V magnitude, respectively. The coefficients β12 and
γ12 are the respective first- and second-order transformation coefficients.
In general, the second-order atmospheric extinc′′
tion coefficient κV R is expected to be close to zero
due to the nearly constant level (ozone-band contribution) of the atmospheric extinction curve at SPM
near 5500 Å (Schuster & Parrao 2001). The secondorder extinction and linear-transformation coefficients for correcting to extra-atmospheric standard
magnitudes and colors are very similar from night
to night, and also from run to run, because, (i) the
SPM has excellent sky conditions, and (ii) the same
instrumental setup, observing techniques, and data
reduction procedures were used for all nights during
both observing runs. In Table 2 the mean zero-point
corrections, atmospheric extinction, and transformation coefficients are given.
In Tables 3, 4, and 5 are given the final transformed CCD UBVRI photometric values for the
open clusters, Be 89, Ru 135, and Be 10, respectively. In these tables Columns 1 and 2 give the X
and Y (pixels) the position of a star in the CCD field;
Columns 3, 5, 7, 9, and 11 the magnitude and color
indices V , (B − V ), (U − B), (V − R), and (V − I),
respectively (in magnitudes); and Columns 4, 6,
8, 10, and 12 the respective photometric errors,
σV , σB−V , σU −B , σV −R , and σV −I (in magnitudes),
as provided by IRAF.
UBVRI PHOTOMETRY OF OPEN CLUSTERS
389
TABLE 3
© Copyright 2010: Instituto de Astronomía, Universidad Nacional Autónoma de México
CCD UBVRI PHOTOMETRY OF BE 89
X
Y
V
σV
(B − V )
σB−V
(U − B)
σU −B
(V − R)
σV −R
(V − I)
σV −I
767.7
466.5
511.7
213
741.7
113.3
678.3
464.6
834.1
701.2
254.5
198
312.4
541.6
334.6
842.2
592.1
560.7
613.3
675.9
360.9
482.7
645.6
268.8
399.4
323
791.4
416.2
219.1
758.7
385.7
797.4
196
365.3
338.1
579.6
738.4
640.5
535.4
521.7
923.2
648.5
620.5
408.6
574.2
697.8
916.7
601.1
53
350.5
112.3
389.8
803
538
925.7
594.4
653.4
299.5
298.7
330
969
328.6
281.7
538.3
496.2
742.6
99.5
403.2
465.7
596.5
338.7
610.2
578.9
280.4
28.1
276.8
770.5
31.2
789.4
526.6
782.1
190.6
887.1
268.5
702.4
248.1
739
206.7
88.8
99.7
595.1
264.4
277.5
51
412.5
157.7
316
499.2
621.2
183
610.8
889.9
859.9
159.1
469.9
76.6
525
818
177.7
274.2
523.6
615
182.5
890.9
609.1
547.1
360.7
533.9
466.9
273.1
235.1
224.4
898.6
823.5
933.5
565.7
11.261
12.118
12.172
12.333
12.911
13.309
13.754
13.761
13.972
13.98
14.089
14.141
14.279
14.368
14.416
14.475
14.528
14.593
14.663
14.669
14.678
14.727
14.744
14.759
14.83
14.851
14.862
14.916
14.92
15.017
15.02
15.033
15.054
15.062
15.082
15.095
15.1
15.128
15.137
15.181
15.185
15.227
15.257
15.258
15.283
15.297
15.308
15.338
15.445
15.466
15.494
15.51
15.534
15.571
15.576
15.658
15.665
15.713
15.766
15.832
15.875
15.876
15.921
0.006
0.011
0.008
0.006
0.005
0.004
0.006
0.006
0.004
0.005
0.004
0.016
0.004
0.01
0.006
0.004
0.006
0.006
0.006
0.005
0.004
0.005
0.006
0.005
0.006
0.006
0.005
0.006
0.004
0.003
0.005
0.004
0.004
0.006
0.029
0.006
0.005
0.006
0.004
0.004
0.007
0.006
0.006
0.006
0.004
0.005
0.004
0.007
0.008
0.006
0.011
0.006
0.005
0.007
0.006
0.007
0.006
0.006
0.006
0.007
0.007
0.008
0.006
0.441
1.362
0.443
0.791
1.193
0.658
1.921
0.706
0.735
0.875
0.819
1.317
1.948
1.818
0.779
2.238
0.79
0.868
1.711
0.846
1.717
1.649
0.691
1.001
0.914
0.726
1.574
0.829
0.83
1.582
1.059
1.676
1.644
0.687
1.49
1.553
0.983
1.618
1.647
1.652
0.816
1.596
0.906
0.705
1.718
1.225
1.523
0.671
1.002
0.911
0.863
0.807
1.337
1.071
0.997
0.873
0.77
1.038
0.979
2.318
1.662
0.839
0.979
0.009
0.018
0.011
0.009
0.007
0.006
0.014
0.01
0.007
0.009
0.007
0.025
0.014
0.059
0.01
0.012
0.011
0.009
0.018
0.009
0.011
0.011
0.009
0.01
0.01
0.009
0.012
0.012
0.008
0.01
0.01
0.012
0.013
0.01
0.048
0.018
0.01
0.015
0.01
0.012
0.015
0.015
0.011
0.012
0.013
0.012
0.012
0.012
0.016
0.011
0.019
0.011
0.012
0.014
0.011
0.013
0.012
0.012
0.011
0.023
0.018
0.015
0.014
0.002
1.191
0.268
0.359
0.855
−0.019
1.75
0.07
0.113
0.333
0.176
0.695
2.029
1.688
0.179
99.999
0.104
0.25
99.999
0.241
1.441
1.23
0.366
0.655
0.308
0.131
1.299
0.256
0.184
1.294
0.974
1.436
1.39
0.347
99.999
1.32
0.543
1.289
1.373
1.448
0.248
1.371
0.312
0.313
1.414
0.75
1.284
0.251
0.516
0.326
0.22
0.09
1.052
0.379
0.578
0.559
0.357
0.406
0.271
99.999
1.08
0.127
0.506
0.007
0.011
0.005
0.007
0.008
0.006
0.024
0.01
0.009
0.011
0.009
0.015
0.041
0.058
0.012
99.999
0.011
0.013
99.999
0.013
0.032
0.029
0.013
0.015
0.015
0.013
0.033
0.015
0.014
0.035
0.022
0.042
0.041
0.013
99.999
0.046
0.024
0.042
0.041
0.042
0.02
0.044
0.018
0.017
0.049
0.027
0.037
0.015
0.026
0.025
0.022
0.016
0.041
0.02
0.026
0.023
0.02
0.026
0.024
99.999
0.063
0.02
0.03
0.315
0.742
0.296
0.378
0.629
0.351
1.058
0.396
0.403
0.508
0.463
0.871
1.023
0.95
0.425
1.33
0.422
0.454
0.907
0.481
0.901
0.895
0.353
0.55
0.518
0.409
0.872
0.443
0.481
0.868
0.612
0.916
0.89
0.363
0.897
0.874
0.495
0.917
0.884
0.909
0.465
0.878
0.508
0.408
0.914
0.643
0.818
0.403
0.527
0.5
0.521
0.456
0.763
0.641
0.537
0.471
0.456
0.609
0.542
1.272
0.982
0.491
0.497
0.009
0.013
0.011
0.012
0.008
0.005
0.009
0.008
0.007
0.01
0.006
0.019
0.006
0.015
0.009
0.006
0.009
0.007
0.01
0.006
0.006
0.007
0.008
0.007
0.007
0.007
0.008
0.008
0.006
0.006
0.007
0.007
0.007
0.007
0.037
0.012
0.006
0.01
0.006
0.007
0.01
0.01
0.007
0.009
0.007
0.007
0.007
0.01
0.011
0.008
0.016
0.008
0.008
0.009
0.007
0.01
0.008
0.008
0.008
0.009
0.01
0.011
0.008
99.999
1.399
0.569
99.999
1.182
0.705
2
0.725
0.777
0.932
0.897
1.663
1.985
1.842
0.853
2.632
0.858
0.902
1.785
0.929
1.683
1.752
0.787
1.024
0.95
0.829
1.696
0.878
0.913
1.68
1.092
1.763
1.715
0.79
1.713
1.684
0.986
1.726
1.718
1.733
0.974
99.999
0.998
0.884
1.785
1.283
1.602
0.884
1.011
1.006
0.961
0.885
1.397
1.239
1.01
1.031
0.952
1.23
1.115
2.36
1.87
0.959
0.976
99.999
0.013
0.017
99.999
0.01
0.006
0.012
0.007
0.006
0.008
0.006
0.017
0.007
0.015
0.008
0.011
0.009
0.007
0.008
0.006
0.006
0.007
0.007
0.007
0.007
0.007
0.007
0.008
0.006
0.005
0.007
0.006
0.006
0.007
0.032
0.013
0.006
0.009
0.006
0.007
0.009
99.999
0.007
0.007
0.007
0.007
0.006
0.01
0.01
0.007
0.024
0.007
0.007
0.008
0.007
0.009
0.008
0.007
0.007
0.007
0.008
0.01
0.009
390
AKKAYA ET AL.
© Copyright 2010: Instituto de Astronomía, Universidad Nacional Autónoma de México
TABLE 3 (CONTINUED)
X
Y
V
σV
(B − V )
σB−V
(U − B)
σU −B
(V − R)
σV −R
(V − I)
σV −I
337.1
375.5
110.4
713.7
451
369.5
162.3
271.3
471.7
356.9
476.4
181.2
802
22.8
276.6
512.7
234.9
329
489.9
733.2
305.2
437
535.2
918.4
800.1
550.3
32.2
985.1
31.9
172.4
196.1
624
860.7
555.2
659.5
502.4
797.1
89.5
852.3
602.7
910.3
474.6
155.5
667.2
340
612.5
638.7
121.6
148.3
566.6
489.2
190.8
16.9
634.9
366.6
481.7
951.4
809.9
479
540.8
804.6
705.8
126.4
70.3
231.1
623.4
847.5
961
22.8
508.7
170.1
731
105.4
585.8
708
570.8
944.2
593.9
76.8
796
161.5
633.8
471.8
562.9
794.9
840.3
570.1
540.7
181.7
734.7
660.5
883.4
387.1
844.7
134.1
310.2
463.7
116.4
346.8
820.6
82.9
496.5
532.4
148.8
723.9
744.4
116.8
37.2
46.2
851.1
514.7
75.3
104.7
445.5
490.7
177
98.6
777.2
654.1
579.9
654.7
209.9
321.1
327.2
337.6
180.9
675
135.2
281.9
990
15.964
15.993
16.023
16.05
16.078
16.087
16.115
16.162
16.185
16.191
16.2
16.211
16.212
16.24
16.241
16.248
16.28
16.291
16.304
16.312
16.322
16.329
16.358
16.358
16.359
16.378
16.394
16.407
16.409
16.413
16.421
16.428
16.432
16.457
16.457
16.467
16.472
16.492
16.501
16.515
16.523
16.527
16.538
16.554
16.556
16.565
16.576
16.587
16.587
16.594
16.597
16.61
16.621
16.621
16.632
16.632
16.633
16.646
16.669
16.68
16.684
16.7
16.706
16.71
16.711
0.033
0.007
0.012
0.014
0.006
0.006
0.008
0.008
0.006
0.006
0.012
0.009
0.007
0.012
0.007
0.007
0.006
0.011
0.007
0.006
0.005
0.008
0.008
0.008
0.006
0.007
0.015
0.008
0.015
0.008
0.007
0.008
0.007
0.012
0.007
0.007
0.007
0.008
0.01
0.008
0.007
0.007
0.01
0.007
0.008
0.008
0.007
0.01
0.008
0.011
0.007
0.009
0.013
0.009
0.007
0.008
0.012
0.007
0.008
0.013
0.018
0.008
0.008
0.007
0.009
1.211
0.994
0.917
0.946
1.176
1.074
1.018
0.983
1.207
1.081
1.113
1.182
0.882
0.897
2.443
1.015
1.634
1.307
0.927
1.208
1.173
1.223
1.619
1.065
1.084
0.987
0.99
2.525
1.148
1.067
1.047
0.975
1.057
1.537
1.293
1.077
1.024
1.681
0.886
2.703
1.097
1.121
1.145
1.143
1.061
1.09
1.082
2.263
1.048
1.077
1.148
1.016
1.13
1.07
1.145
1.155
1.097
1.114
1.193
1.412
1.015
1.016
1.022
1.154
1.063
0.052
0.015
0.022
0.023
0.016
0.014
0.016
0.016
0.015
0.016
0.024
0.021
0.015
0.022
0.026
0.015
0.019
0.024
0.016
0.016
0.016
0.019
0.022
0.018
0.015
0.016
0.028
0.035
0.028
0.019
0.016
0.016
0.019
0.022
0.019
0.017
0.016
0.023
0.021
0.043
0.018
0.019
0.021
0.016
0.018
0.018
0.019
0.036
0.018
0.025
0.019
0.02
0.027
0.019
0.02
0.021
0.025
0.019
0.021
0.024
0.036
0.019
0.018
0.021
0.023
0.477
0.453
0.315
0.373
0.392
0.431
0.458
0.297
0.464
0.463
0.451
0.455
0.252
0.305
99.999
0.379
1.317
1.078
0.405
0.617
0.614
0.526
1.143
0.713
0.722
0.35
0.285
99.999
0.624
0.538
0.436
0.5
0.44
1.151
0.622
0.407
0.397
99.999
0.361
99.999
0.384
0.381
0.705
99.999
0.213
0.459
0.376
99.999
0.335
0.411
0.428
0.394
0.337
0.304
0.421
0.491
0.623
0.429
0.889
1.014
0.396
0.349
0.358
0.568
0.424
0.035
0.031
0.027
0.035
0.041
0.03
0.031
0.029
0.037
0.029
0.037
0.036
0.029
0.032
99.999
0.035
0.087
0.055
0.031
0.04
0.045
0.04
0.081
0.056
0.042
0.027
0.037
99.999
0.051
0.044
0.037
0.043
0.039
0.074
0.052
0.038
0.035
99.999
0.035
99.999
0.033
0.041
0.05
99.999
0.041
0.04
0.041
99.999
0.036
0.049
0.05
0.043
0.046
0.039
0.043
0.048
0.05
0.042
0.064
0.08
0.063
0.036
0.038
0.055
0.05
0.656
0.542
0.567
0.559
0.679
0.641
0.582
0.551
0.655
0.634
0.639
0.724
0.494
0.57
1.332
0.588
0.901
0.727
0.53
0.717
0.694
0.682
0.92
0.585
0.595
0.531
0.585
1.364
0.631
0.613
0.558
0.533
0.643
0.851
0.739
0.648
0.625
0.924
0.551
1.587
0.679
0.642
0.638
0.569
0.605
0.618
0.626
1.248
0.6
0.656
0.623
0.528
0.646
0.622
0.691
0.649
0.594
0.645
0.626
0.819
0.421
0.609
0.564
0.678
0.65
0.047
0.009
0.018
0.034
0.009
0.008
0.01
0.01
0.01
0.008
0.029
0.016
0.009
0.017
0.009
0.01
0.008
0.019
0.01
0.009
0.008
0.012
0.011
0.012
0.009
0.01
0.02
0.01
0.02
0.011
0.009
0.011
0.012
0.011
0.01
0.01
0.011
0.011
0.014
0.01
0.01
0.01
0.014
0.01
0.011
0.012
0.011
0.013
0.01
0.019
0.01
0.012
0.018
0.013
0.011
0.012
0.02
0.011
0.012
0.013
0.049
0.011
0.012
0.012
0.016
1.349
1.044
1.051
1.207
1.366
1.262
1.158
1.104
1.359
1.33
1.285
1.34
0.956
1.103
2.534
1.206
1.712
1.429
1.098
1.435
1.378
1.393
1.736
1.102
1.122
1.121
99.999
2.644
99.999
1.262
1.102
1.055
1.289
1.67
1.471
1.279
1.275
1.786
1.051
3.138
1.35
1.271
1.212
1.123
1.195
1.301
1.26
2.36
1.217
1.314
1.271
1.074
1.275
1.25
1.383
1.371
1.104
1.276
1.168
1.583
1.112
1.254
1.127
1.367
1.302
0.035
0.009
0.034
0.023
0.009
0.007
0.009
0.01
0.008
0.007
0.026
0.027
0.009
0.015
0.008
0.008
0.007
0.026
0.009
0.008
0.008
0.01
0.01
0.009
0.008
0.009
99.999
0.008
99.999
0.01
0.009
0.012
0.009
0.009
0.009
0.01
0.008
0.009
0.029
0.008
0.009
0.009
0.03
0.009
0.01
0.011
0.01
0.011
0.009
0.014
0.009
0.011
0.017
0.012
0.01
0.01
0.029
0.009
0.011
0.011
0.043
0.011
0.011
0.011
0.014
UBVRI PHOTOMETRY OF OPEN CLUSTERS
391
© Copyright 2010: Instituto de Astronomía, Universidad Nacional Autónoma de México
TABLE 3 (CONTINUED)
X
Y
V
σV
(B − V )
σB−V
(U − B)
σU −B
(V − R)
σV −R
(V − I)
σV −I
699.6
521.1
535.5
228.4
457.6
341.7
117.5
609.1
285.2
137
283.5
875.4
646
950.4
702.9
791.6
444.9
27.9
346.7
865
528.3
796.7
89
875.6
337.5
363.3
345
397.1
559.6
737.7
64.4
441.6
621.1
548.5
393.8
960.9
474.1
228.6
490.7
507.7
907.1
763.3
199.4
431
465.3
307.3
539
723.5
676.3
960.1
462.5
644.8
938.6
910.1
473
110.2
743.3
139.5
444.2
802.7
262.2
30.5
352.4
588
328.1
149.3
506
304.3
593.8
417.9
150.6
677.4
701.3
586.1
372.4
57.3
230.6
637.8
189.7
955.9
205.4
34.3
886.1
344
505.3
698.1
158.7
808.1
485.8
763
573.6
253.6
845.7
440
258.6
175.6
469.4
540.1
711.8
473.8
931.9
552.7
274.8
545
216
680
911.5
13.4
371.1
114.7
234.8
303.5
743
716.3
844.3
542.5
122.5
483.7
919.8
611.3
642.8
347.4
848.1
599.1
294.5
983.6
544.8
618.3
777.6
375.7
16.725
16.726
16.752
16.755
16.765
16.767
16.768
16.776
16.781
16.781
16.786
16.791
16.793
16.796
16.802
16.805
16.806
16.809
16.846
16.847
16.851
16.856
16.857
16.857
16.858
16.872
16.885
16.891
16.897
16.903
16.906
16.912
16.914
16.916
16.919
16.927
16.932
16.936
16.941
16.978
16.98
16.987
16.989
16.995
17.017
17.022
17.023
17.031
17.037
17.038
17.054
17.064
17.065
17.07
17.076
17.086
17.09
17.095
17.101
17.103
17.11
17.116
17.135
17.138
17.139
0.008
0.007
0.014
0.008
0.008
0.007
0.007
0.008
0.008
0.008
0.008
0.009
0.008
0.009
0.008
0.007
0.011
0.015
0.009
0.007
0.008
0.009
0.012
0.008
0.011
0.009
0.007
0.008
0.008
0.011
0.009
0.008
0.01
0.008
0.015
0.008
0.008
0.01
0.01
0.007
0.008
0.008
0.01
0.009
0.014
0.01
0.017
0.01
0.006
0.011
0.011
0.012
0.009
0.008
0.009
0.01
0.01
0.012
0.008
0.006
0.01
0.009
0.008
0.008
0.011
1.137
1.203
99.999
1.067
1.084
1.055
1.098
0.944
1.19
1.079
1.033
1.686
0.941
1.119
1.073
1.029
1.078
1.125
1.112
1.166
1.096
2.059
2.062
1.21
1.084
0.991
1.132
1.041
1.09
0.866
1.845
1.121
1.047
1.117
1.134
1.093
1.165
0.965
1.693
1.122
1.142
1.076
1.065
2.693
1.188
2.23
99.999
1.928
1.093
1.191
0.865
1.052
1.026
1.079
1.165
1.142
1.134
0.986
1.133
1.031
1.12
1.1
1.107
1.07
1.051
0.02
0.022
99.999
0.018
0.02
0.02
0.021
0.018
0.02
0.021
0.021
0.025
0.018
0.022
0.021
0.018
0.029
0.031
0.021
0.022
0.019
0.037
0.037
0.025
0.025
0.019
0.02
0.02
0.022
0.021
0.032
0.022
0.023
0.024
0.034
0.022
0.023
0.023
0.03
0.023
0.021
0.025
0.025
0.051
0.03
0.043
99.999
0.035
0.02
0.026
0.023
0.031
0.022
0.023
0.026
0.024
0.023
0.025
0.025
0.022
0.025
0.026
0.025
0.024
0.026
0.445
0.423
99.999
0.297
0.501
0.343
0.412
0.242
0.556
0.407
0.301
99.999
0.255
0.444
0.389
0.396
0.605
0.408
0.456
0.525
0.392
99.999
99.999
0.575
0.489
0.256
0.474
0.36
0.364
0.513
99.999
0.537
0.406
0.302
0.38
0.691
0.553
0.636
99.999
0.517
0.464
0.419
0.363
99.999
99.999
99.999
99.999
99.999
0.316
0.519
0.454
0.46
0.48
0.349
0.467
0.466
0.465
0.325
0.35
0.533
0.45
0.282
0.372
0.36
0.389
0.05
0.051
99.999
0.049
0.049
0.05
0.056
0.044
0.058
0.05
0.041
99.999
0.046
0.047
0.051
0.041
0.058
0.055
0.059
0.047
0.05
99.999
99.999
0.055
0.057
0.047
0.047
0.048
0.051
0.05
99.999
0.056
0.055
0.054
0.052
0.061
0.069
0.06
99.999
0.061
0.067
0.05
0.056
99.999
99.999
99.999
99.999
99.999
0.056
0.067
0.054
0.063
0.059
0.065
0.064
0.065
0.058
0.06
0.06
0.068
0.066
0.06
0.07
0.067
0.066
0.629
0.69
0.548
0.643
0.612
0.632
0.699
0.574
0.709
0.629
0.611
0.932
0.579
0.617
0.648
0.571
0.661
0.581
0.63
0.705
0.634
1.138
1.105
0.599
0.571
0.583
0.657
0.628
0.616
0.515
1.05
0.677
0.601
0.642
0.726
0.649
0.649
0.559
0.94
0.646
0.631
0.654
0.597
1.471
0.744
1.252
0.508
1.046
0.613
0.719
0.557
0.596
0.607
0.646
0.676
0.645
0.615
0.594
0.66
0.613
0.61
0.629
0.609
0.618
0.578
0.011
0.012
0.05
0.012
0.011
0.011
0.012
0.012
0.011
0.012
0.011
0.012
0.01
0.014
0.013
0.01
0.019
0.042
0.012
0.012
0.012
0.012
0.017
0.014
0.018
0.012
0.011
0.012
0.013
0.014
0.013
0.013
0.013
0.013
0.045
0.015
0.012
0.013
0.013
0.012
0.011
0.012
0.016
0.012
0.021
0.012
0.06
0.012
0.011
0.015
0.014
0.019
0.012
0.013
0.014
0.014
0.014
0.018
0.012
0.011
0.015
0.015
0.012
0.012
0.015
1.279
1.379
99.999
1.264
1.239
1.209
1.341
1.171
1.379
1.224
1.225
1.824
1.061
1.303
1.277
1.208
1.244
99.999
1.311
1.397
1.291
2.192
2.137
1.234
1.149
1.194
1.347
1.278
1.282
1.087
2.038
1.294
1.146
1.285
1.456
1.345
1.333
1.093
1.866
1.27
1.326
1.322
1.266
2.801
1.357
2.387
99.999
2.081
1.253
1.408
1.073
1.226
1.3
1.281
1.342
1.319
1.292
1.171
1.338
1.164
1.226
1.3
1.285
1.226
1.176
0.01
0.01
99.999
0.012
0.01
0.01
0.009
0.01
0.01
0.011
0.01
0.01
0.01
0.012
0.011
0.009
0.032
99.999
0.012
0.01
0.01
0.009
0.014
0.011
0.016
0.011
0.011
0.01
0.011
0.013
0.011
0.012
0.012
0.011
0.019
0.013
0.012
0.012
0.011
0.011
0.01
0.012
0.015
0.009
0.036
0.011
99.999
0.011
0.01
0.012
0.012
0.014
0.012
0.013
0.012
0.013
0.013
0.015
0.012
0.01
0.013
0.013
0.011
0.011
0.014
392
AKKAYA ET AL.
© Copyright 2010: Instituto de Astronomía, Universidad Nacional Autónoma de México
TABLE 3 (CONTINUED)
X
Y
V
σV
(B − V )
σB−V
(U − B)
σU −B
(V − R)
σV −R
(V − I)
σV −I
483.7
863.8
433.7
659.9
6.8
798.5
500.4
122.5
105.6
228.4
422.2
370.6
234.2
227.1
465.7
939.4
698.4
577.4
841.5
191.2
433.9
990.5
256.6
72.1
718.7
78.1
18.5
155.1
167
295.3
828.6
225.2
768.4
756.9
441.8
838.2
916
900.7
273.2
537.3
292.2
522.9
520.8
331.5
491.6
496.6
715.5
560.8
649.7
451.4
27.4
91.2
694.9
282.6
729.7
480.3
719.4
863.8
915.3
885.8
368.6
475.2
813.4
421.9
937
613.6
539.9
875.2
385.8
313.8
918.2
607.6
981.5
945.9
154.3
539.7
439
343.7
821.9
248.2
176.1
981.9
617
346.2
676.1
990.1
723.5
669.7
429.1
71.2
850.3
219.1
955.3
21.9
505.3
353.3
114.1
225
386.8
494.7
847.6
358.1
93.4
622.7
569.2
742.1
33.2
847.5
821.6
464.3
132.8
758.5
66.1
229.5
513.5
448.9
632.9
797.3
702.2
314.3
645.2
230.2
60.3
33.9
159.6
506.4
921.3
464.2
770
240.9
17.148
17.151
17.155
17.156
17.16
17.16
17.163
17.164
17.172
17.183
17.183
17.184
17.186
17.192
17.192
17.192
17.203
17.206
17.211
17.226
17.239
17.239
17.24
17.242
17.242
17.252
17.275
17.275
17.281
17.283
17.287
17.3
17.306
17.307
17.311
17.316
17.327
17.331
17.333
17.337
17.348
17.354
17.357
17.364
17.373
17.374
17.381
17.383
17.384
17.391
17.395
17.397
17.397
17.406
17.419
17.432
17.447
17.447
17.455
17.46
17.463
17.465
17.469
17.474
17.488
0.009
0.01
0.009
0.008
0.013
0.009
0.009
0.011
0.012
0.011
0.008
0.009
0.011
0.008
0.009
0.01
0.009
0.017
0.011
0.012
0.007
0.009
0.009
0.01
0.011
0.012
0.01
0.012
0.015
0.011
0.01
0.013
0.01
0.008
0.011
0.009
0.01
0.01
0.007
0.011
0.011
0.01
0.011
0.008
0.01
0.011
0.012
0.012
0.01
0.016
0.01
0.009
0.01
0.011
0.011
0.013
0.014
0.01
0.011
0.009
0.013
0.011
0.01
0.009
0.011
1.14
1.026
1.105
2.042
1.108
1.403
1.122
1.112
1.529
1.112
1.046
1.051
1.187
1.085
1.103
1.276
1.132
1.051
0.902
1.195
1.035
1.11
1.123
1.236
1.323
1.131
1.147
1.127
1.143
1.932
1.08
1.36
1.067
1.145
1.193
1.105
1.089
1.051
1.028
1.088
1.107
1.308
1.113
1.062
1.119
1.092
1.233
1.208
2.199
1.191
1.132
1.184
1.134
1.08
1.022
2.001
1.186
2.317
1.029
1.176
1.159
1.088
1.595
1.131
1.094
0.026
0.025
0.022
0.036
0.028
0.024
0.025
0.03
0.034
0.028
0.026
0.027
0.026
0.023
0.027
0.026
0.023
0.04
0.023
0.026
0.024
0.027
0.024
0.026
0.03
0.032
0.025
0.032
0.035
0.042
0.025
0.038
0.028
0.025
0.026
0.027
0.026
0.029
0.022
0.026
0.025
0.031
0.028
0.025
0.027
0.029
0.03
0.032
0.048
0.036
0.029
0.029
0.028
0.028
0.029
0.045
0.03
0.056
0.03
0.029
0.033
0.026
0.032
0.03
0.027
0.647
0.254
0.388
99.999
0.39
99.999
0.462
0.407
99.999
0.403
0.412
0.351
99.999
0.339
0.514
99.999
0.379
0.388
0.442
0.488
0.315
0.497
0.443
0.365
99.999
0.516
0.244
0.594
99.999
99.999
0.365
99.999
0.302
0.255
0.398
0.333
0.611
0.715
0.578
0.335
0.443
99.999
99.999
0.413
0.275
0.496
99.999
99.999
99.999
99.999
0.41
0.378
0.531
0.427
0.365
99.999
0.51
99.999
0.333
0.371
99.999
99.999
99.999
0.577
0.427
0.083
0.058
0.068
99.999
0.061
99.999
0.061
0.066
99.999
0.062
0.073
0.055
99.999
0.062
0.08
99.999
0.073
0.076
0.052
0.083
0.066
0.071
0.09
0.079
99.999
0.081
0.067
0.094
99.999
99.999
0.065
99.999
0.072
0.07
0.069
0.056
0.096
0.082
0.072
0.074
0.086
99.999
99.999
0.065
0.068
0.105
99.999
99.999
99.999
99.999
0.093
0.088
0.075
0.082
0.078
99.999
0.098
99.999
0.081
0.078
99.999
99.999
99.999
0.098
0.116
0.666
0.562
0.587
1.122
0.616
0.821
0.631
0.646
0.865
0.645
0.636
0.638
0.655
0.65
0.649
0.68
0.675
0.648
0.545
0.723
0.632
0.661
0.653
0.65
0.798
0.644
0.65
0.648
0.647
1.1
0.631
0.828
0.631
0.664
0.7
0.676
0.652
0.687
0.642
0.69
0.686
0.678
0.657
0.648
0.644
0.671
0.667
0.683
1.168
0.661
0.671
0.638
0.656
0.688
0.576
1.109
0.709
1.247
0.667
0.619
0.704
0.629
0.876
0.638
0.673
0.015
0.014
0.012
0.012
0.017
0.012
0.014
0.02
0.018
0.016
0.012
0.014
0.017
0.014
0.014
0.013
0.013
0.026
0.013
0.014
0.013
0.014
0.014
0.016
0.013
0.02
0.018
0.021
0.021
0.014
0.014
0.017
0.016
0.013
0.015
0.013
0.015
0.017
0.012
0.015
0.015
0.014
0.016
0.014
0.016
0.016
0.015
0.016
0.014
0.02
0.014
0.015
0.016
0.013
0.015
0.016
0.016
0.015
0.017
0.014
0.021
0.015
0.014
0.014
0.016
1.34
1.119
1.241
2.142
1.308
1.626
1.316
1.298
1.588
1.287
1.299
1.285
1.367
1.322
1.316
1.285
1.323
1.316
1.135
1.361
1.306
1.364
1.331
1.36
1.492
1.243
1.289
1.242
1.348
2.109
1.299
1.567
1.253
1.308
1.36
1.354
1.349
1.401
1.301
1.322
1.348
1.315
1.275
1.246
1.314
1.317
1.335
1.405
2.263
1.423
1.359
1.274
1.364
1.344
1.232
2.17
1.38
2.393
1.35
1.301
1.269
1.249
1.738
1.316
1.328
0.013
0.012
0.011
0.01
0.016
0.01
0.013
0.017
0.034
0.015
0.012
0.012
0.016
0.012
0.012
0.011
0.012
0.023
0.012
0.012
0.011
0.013
0.012
0.014
0.013
0.017
0.014
0.018
0.018
0.012
0.013
0.015
0.013
0.011
0.014
0.012
0.013
0.012
0.011
0.014
0.016
0.012
0.014
0.013
0.014
0.014
0.014
0.013
0.011
0.018
0.013
0.013
0.016
0.013
0.013
0.014
0.014
0.012
0.014
0.012
0.036
0.013
0.012
0.012
0.014
UBVRI PHOTOMETRY OF OPEN CLUSTERS
393
© Copyright 2010: Instituto de Astronomía, Universidad Nacional Autónoma de México
TABLE 3 (CONTINUED)
X
Y
V
σV
(B − V )
σB−V
(U − B)
σU −B
(V − R)
σV −R
(V − I)
σV −I
98.1
295
786.1
301
201.2
393.9
550.5
299
252.5
515
298.1
697.3
600.6
264.2
590
343
868.5
420.9
947.8
777.9
355.5
265.5
167.8
693.8
156.8
477.9
150.4
797.1
460.4
332.4
637.3
654.7
270.3
773.2
947.8
848.4
271.4
599.7
396.1
171.3
473.7
352.8
644.7
495.8
612
594.3
894.3
176.1
37
202.8
100.3
349.5
620
697.3
702.2
901.3
40
853.3
395.1
701.8
680.3
18
454.2
808
423.7
961.1
455.6
494.9
57
626.5
344.5
185.3
296.1
767.4
472
519.4
560
109.6
721.5
536.8
560.6
185.7
615.5
483.3
17.2
944.5
580.4
837.6
599.4
336.5
777.1
402.6
769.8
236.6
289.9
500
130.4
570.8
789.6
510.1
634.6
293.9
480.7
530.2
697
619.3
601.4
501.5
754.9
731.4
135
258.4
418.4
537
614.2
831.9
443.3
710.2
808.6
313.4
624.2
988.9
284.8
491.5
917.8
990.6
523.6
604.3
847.1
945.2
17.492
17.506
17.507
17.508
17.51
17.53
17.535
17.553
17.554
17.566
17.569
17.573
17.593
17.612
17.625
17.628
17.632
17.638
17.65
17.662
17.688
17.689
17.694
17.698
17.698
17.701
17.702
17.709
17.71
17.714
17.715
17.717
17.736
17.756
17.757
17.758
17.762
17.762
17.764
17.768
17.771
17.775
17.781
17.782
17.783
17.786
17.786
17.787
17.798
17.816
17.817
17.818
17.823
17.825
17.826
17.829
17.831
17.831
17.841
17.841
17.844
17.853
17.875
17.901
17.902
0.016
0.01
0.011
0.011
0.011
0.01
0.012
0.013
0.012
0.015
0.011
0.011
0.012
0.013
0.011
0.013
0.01
0.015
0.01
0.015
0.013
0.027
0.016
0.01
0.011
0.013
0.014
0.013
0.013
0.01
0.014
0.014
0.011
0.013
0.014
0.013
0.013
0.013
0.014
0.012
0.014
0.015
0.013
0.011
0.015
0.015
0.013
0.012
0.012
0.015
0.018
0.014
0.016
0.012
0.01
0.013
0.017
0.013
0.016
0.014
0.014
0.016
0.014
0.014
0.015
1.336
1.227
1.211
1.831
1.173
1.082
1.089
2.269
1.231
1.214
1.054
0.994
1.082
1.205
1.03
1.189
2.19
1.232
1.645
1.007
1.041
1.214
1.051
1.03
1.012
1.133
1.175
1.872
1.162
1.195
1.079
1.059
1.018
1.221
1.173
1.104
1.327
1.08
1.121
1.24
1.16
2.14
1.382
99.999
1.084
1.1
1.11
1.145
1.108
1.15
1.254
1.244
0.953
1.166
0.929
1.18
1.087
1.142
1.121
1.113
1.105
1.836
1.13
1.144
1.178
0.041
0.027
0.032
0.044
0.028
0.026
0.031
0.062
0.034
0.034
0.031
0.031
0.033
0.036
0.032
0.033
0.063
0.037
0.039
0.037
0.036
0.037
0.036
0.032
0.031
0.035
0.037
0.053
0.032
0.034
0.031
0.031
0.028
0.031
0.039
0.031
0.04
0.035
0.035
0.032
0.037
0.075
0.039
99.999
0.031
0.035
0.033
0.036
0.035
0.037
0.044
0.035
0.032
0.036
0.032
0.037
0.044
0.031
0.037
0.034
0.034
0.056
0.04
0.037
0.039
99.999
99.999
0.568
99.999
99.999
0.392
0.378
99.999
0.417
0.3
99.999
0.284
0.214
99.999
0.499
99.999
99.999
99.999
99.999
0.514
99.999
0.376
99.999
0.395
0.427
99.999
99.999
99.999
99.999
99.999
0.282
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
0.296
99.999
99.999
99.999
99.999
99.999
0.337
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
0.098
99.999
99.999
0.082
0.092
99.999
0.095
0.074
99.999
0.079
0.082
99.999
0.108
99.999
99.999
99.999
99.999
0.095
99.999
0.124
99.999
0.097
0.123
99.999
99.999
99.999
99.999
99.999
0.086
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
0.108
99.999
99.999
99.999
99.999
99.999
0.083
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
0.827
0.679
0.639
0.982
0.721
0.628
0.645
1.24
0.673
0.692
0.68
0.618
0.586
0.656
0.633
0.655
1.318
0.666
0.95
0.606
0.673
0.738
0.663
0.617
0.652
0.714
0.689
1.037
0.635
0.679
0.667
0.657
0.62
0.629
0.684
0.674
0.748
0.648
0.686
0.697
0.711
1.231
0.856
1.138
0.647
0.658
0.624
0.692
0.65
0.699
0.781
0.722
0.526
0.667
0.635
0.674
0.642
0.652
0.713
0.565
0.66
0.99
0.661
0.671
0.662
0.022
0.014
0.017
0.015
0.016
0.017
0.017
0.017
0.015
0.019
0.016
0.016
0.018
0.017
0.017
0.017
0.014
0.022
0.014
0.021
0.017
0.017
0.023
0.017
0.016
0.018
0.018
0.016
0.016
0.015
0.019
0.018
0.016
0.018
0.018
0.017
0.017
0.018
0.018
0.017
0.018
0.02
0.017
0.015
0.02
0.019
0.017
0.017
0.019
0.021
0.023
0.019
0.021
0.016
0.016
0.017
0.027
0.016
0.022
0.019
0.018
0.021
0.018
0.018
0.019
1.519
1.31
1.222
1.973
1.443
1.285
1.254
2.391
1.299
1.306
1.282
1.299
1.201
1.379
1.281
1.359
2.502
1.389
1.785
1.248
1.31
1.422
1.347
1.289
1.296
1.397
1.349
2.009
1.296
1.28
1.323
1.295
1.215
1.279
1.383
1.372
1.501
1.341
1.344
1.339
1.336
2.34
1.499
2.198
99.999
1.315
1.396
1.318
1.301
1.325
1.535
1.46
1.116
1.332
1.224
1.351
1.285
1.301
1.415
1.197
1.341
2.025
1.306
1.37
1.354
0.02
0.012
0.015
0.012
0.014
0.013
0.016
0.013
0.014
0.018
0.013
0.015
0.015
0.015
0.015
0.015
0.011
0.02
0.012
0.02
0.015
0.016
0.02
0.016
0.015
0.014
0.016
0.014
0.015
0.013
0.018
0.015
0.013
0.015
0.016
0.015
0.014
0.014
0.015
0.014
0.017
0.017
0.015
0.012
99.999
0.018
0.014
0.014
0.017
0.0 2
0.02
0.016
0.019
0.015
0.015
0.015
0.023
0.015
0.019
0.016
0.015
0.018
0.016
0.016
0.017
394
AKKAYA ET AL.
© Copyright 2010: Instituto de Astronomía, Universidad Nacional Autónoma de México
TABLE 3 (CONTINUED)
X
Y
V
σV
(B − V )
σB−V
(U − B)
σU −B
(V − R)
σV −R
(V − I)
σV −I
934.4
158.7
933.2
212.8
423.1
256.8
768.3
800.6
408.6
819.9
619.3
685
759.6
631.4
103.3
168.4
232
833.2
540.5
732.5
598.9
740.2
802
885.8
532.5
894.3
515.8
795
149.5
920.5
305.1
61.8
365.8
802.9
357.9
227.5
221.6
668.8
675.5
531.4
613.9
224.7
493.7
761.6
163.1
729.5
438.5
619.9
653.4
536.9
447.6
701.6
15.4
598.9
877.5
791.9
388.8
621
641.8
462.2
472.3
905.9
530.1
240.9
959.8
643.1
860.2
454.9
312.1
473.2
290
456.2
29.4
342.1
70.2
600.4
318.2
596.5
957.1
152.3
572.7
672.9
591.5
391.8
883
30.6
383.7
146.5
577.4
462.6
338.5
864.9
576.5
240.8
611.5
181.3
47.7
415.3
423
121.2
614.8
732.1
333
609.9
458.6
660.8
288.7
688.9
179.8
475.8
255.7
375.8
803.7
98.1
405.5
730.4
478.9
93.9
253.9
267.3
189.1
719
585.4
476.2
293.6
832.6
445
781.7
511.2
257.1
17.907
17.909
17.915
17.918
17.923
17.926
17.927
17.937
17.938
17.941
17.942
17.947
17.949
17.954
17.956
17.957
17.957
17.963
17.966
17.971
17.974
17.987
17.987
17.992
18
18.007
18.019
18.019
18.021
18.024
18.027
18.035
18.037
18.046
18.047
18.05
18.058
18.073
18.074
18.077
18.087
18.089
18.093
18.096
18.108
18.112
18.12
18.129
18.137
18.143
18.145
18.146
18.154
18.159
18.166
18.168
18.172
18.177
18.178
18.192
18.197
18.2
18.206
18.21
18.213
0.023
0.014
0.014
0.017
0.014
0.022
0.015
0.014
0.011
0.015
0.015
0.022
0.015
0.015
0.012
0.015
0.014
0.015
0.014
0.014
0.014
0.014
0.017
0.014
0.017
0.015
0.014
0.015
0.016
0.014
0.018
0.015
0.021
0.015
0.014
0.015
0.016
0.016
0.016
0.018
0.015
0.016
0.014
0.016
0.015
0.018
0.014
0.017
0.018
0.015
0.016
0.017
0.018
0.015
0.016
0.014
0.017
0.015
0.02
0.017
0.015
0.016
0.014
0.016
0.015
1.1
1.164
1.82
1.966
1.285
1.18
1.095
1.333
1.383
1.177
1.16
1.167
1.039
1.155
1.875
1.202
1.076
1.228
2.186
1.174
1.311
1.058
1.962
1.125
1.157
2.014
1.205
1.112
1.349
1.123
1.35
1.319
1.221
1.632
1.069
1.885
1.354
1.1
1.119
1.193
1.106
2.236
1.382
1.225
1.132
2.025
1.361
1.054
1.188
1.175
1.235
1.485
1.272
1.367
1.282
1.401
1.161
1.159
1.327
1.472
1.195
1.039
1.257
1.105
1.313
0.035
0.037
0.054
0.062
0.042
0.053
0.04
0.038
0.041
0.038
0.038
0.045
0.037
0.038
0.057
0.038
0.035
0.041
0.077
0.042
0.043
0.036
0.08
0.039
0.045
0.058
0.045
0.036
0.048
0.037
0.044
0.054
0.049
0.051
0.036
0.061
0.044
0.043
0.041
0.047
0.04
0.074
0.048
0.046
0.043
0.085
0.043
0.042
0.044
0.04
0.049
0.055
0.051
0.045
0.044
0.05
0.049
0.042
0.055
0.051
0.046
0.041
0.042
0.043
0.052
0.362
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
0.338
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
0.103
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
0.145
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
0.697
0.593
1.113
1.062
0.678
0.746
0.767
0.755
0.851
0.699
0.718
0.653
0.669
0.665
1.035
0.657
0.659
0.677
1.34
0.655
0.739
0.683
1.105
0.768
0.687
1.14
0.741
0.618
0.756
0.71
0.735
0.737
0.707
0.922
0.601
1.044
0.726
0.621
0.69
0.62
0.646
1.198
0.768
0.584
0.694
1.153
0.788
0.69
0.709
0.652
0.675
0.956
0.727
0.74
0.71
0.802
0.669
0.707
0.689
0.753
0.692
0.664
0.708
0.597
0.776
0.018
0.02
0.017
0.022
0.021
0.031
0.019
0.019
0.018
0.02
0.02
0.031
0.02
0.02
0.018
0.02
0.019
0.02
0.018
0.019
0.019
0.018
0.021
0.019
0.021
0.019
0.021
0.021
0.02
0.019
0.023
0.021
0.034
0.019
0.02
0.019
0.02
0.021
0.022
0.023
0.019
0.021
0.019
0.021
0.022
0.023
0.019
0.02
0.024
0.021
0.02
0.021
0.026
0.02
0.022
0.02
0.022
0.021
0.027
0.023
0.021
0.021
0.019
0.02
0.021
1.411
1.298
2.093
2.11
1.334
1.418
1.477
1.517
1.676
1.347
1.414
99.999
1.294
1.334
2.017
1.305
1.312
1.362
2.453
1.271
1.44
1.383
2.155
1.429
1.312
2.213
1.374
1.33
1.502
1.44
1.521
1.495
1.434
1.883
1.27
2.069
1.401
1.31
1.268
1.33
1.327
2.306
1.521
1.25
1.307
2.206
1.495
1.349
1.439
1.362
1.375
1.982
1.413
1.453
1.41
1.445
1.362
1.377
1.43
1.451
1.398
1.325
1.351
1.258
1.546
0.016
0.018
0.014
0.017
0.018
0.026
0.017
0.015
0.013
0.017
0.018
99.999
0.019
0.017
0.013
0.018
0.016
0.018
0.015
0.016
0.018
0.018
0.018
0.017
0.021
0.016
0.022
0.018
0.018
0.017
0.02
0.018
0.027
0.016
0.016
0.016
0.018
0.019
0.043
0.02
0.017
0.017
0.017
0.019
0.019
0.019
0.016
0.019
0.021
0.018
0.019
0.018
0.021
0.017
0.018
0.017
0.019
0.018
0.022
0.019
0.017
0.019
0.019
0.018
0.018
UBVRI PHOTOMETRY OF OPEN CLUSTERS
395
© Copyright 2010: Instituto de Astronomía, Universidad Nacional Autónoma de México
TABLE 3 (CONTINUED)
X
Y
V
σV
(B − V )
σB−V
(U − B)
σU −B
(V − R)
σV −R
(V − I)
σV −I
237.3
621.9
883.9
205.8
787.6
634.7
558.8
572.2
850.5
516.6
554.8
892.2
17.4
439.4
810.8
463.5
930.3
86.9
907
367
244.2
781
208.4
597.4
891.4
361.8
351.6
546.2
935.6
12.2
625.1
278.9
520
563
332.9
469.5
403.8
411.4
321.3
387
36.1
820.9
951.9
666.2
570.6
803.1
679.4
600.5
720.7
725.9
827.4
15.9
56.8
888.8
981.2
406
406.2
441.8
172.9
173.6
426.2
734.2
888
105.8
634.7
582.9
282.1
455.7
201.7
590.6
113.5
400.5
773.6
399.2
271.4
69.2
366.9
245.4
832.7
114.7
323
154.4
655
828.6
705.1
136.1
975.6
499.8
714.8
673.7
962.8
639.1
74.2
741
735.5
494.4
767.7
986.4
579.2
348.7
563
125.3
552.6
465.6
641
704.7
571
619
213
947.2
989.2
847.1
568.2
449.5
703.4
880.4
411.4
736.7
854.7
553.4
258.3
35.9
798.6
502.5
727.2
354.7
470.6
539.8
106.7
659.3
18.223
18.223
18.224
18.229
18.231
18.232
18.24
18.241
18.255
18.261
18.261
18.263
18.266
18.267
18.271
18.272
18.274
18.281
18.284
18.289
18.29
18.292
18.293
18.304
18.314
18.317
18.324
18.326
18.335
18.349
18.351
18.355
18.365
18.371
18.375
18.393
18.394
18.397
18.414
18.416
18.421
18.421
18.425
18.428
18.43
18.43
18.434
18.438
18.457
18.469
18.475
18.476
18.477
18.479
18.483
18.484
18.485
18.485
18.486
18.486
18.488
18.491
18.496
18.498
18.507
0.014
0.016
0.019
0.018
0.016
0.016
0.016
0.016
0.015
0.018
0.019
0.017
0.017
0.017
0.02
0.015
0.02
0.019
0.017
0.016
0.02
0.023
0.016
0.018
0.015
0.015
0.019
0.019
0.014
0.019
0.018
0.02
0.019
0.018
0.019
0.02
0.02
0.021
0.02
0.017
0.019
0.017
0.017
0.019
0.017
0.015
0.017
0.02
0.02
0.017
0.02
0.022
0.022
0.019
0.018
0.017
0.02
0.02
0.019
0.019
0.019
0.019
0.019
0.019
0.02
2.026
1.277
1.351
1.372
1.22
1.209
1.086
1.268
1.172
1.145
1.212
1.127
1.784
1.143
1.284
1.095
1.912
1.068
0.973
1.188
1.204
1.174
1.255
99.999
1.836
1.698
1.153
1.496
1.212
1.903
1.22
1.338
1.278
1.01
1.35
1.21
99.999
1.344
1.148
1.798
1.391
1.227
1.454
1.053
1.142
1.456
1.176
1.13
1.203
1.391
1.186
1.653
1.117
1.084
1.378
99.999
1.315
1.262
1.209
1.394
1.768
1.138
1.882
1.485
1.102
0.087
0.041
0.054
0.049
0.042
0.048
0.043
0.044
0.05
0.049
0.049
0.048
0.084
0.045
0.054
0.044
0.086
0.049
0.041
0.05
0.046
0.055
0.05
99.999
0.074
0.058
0.053
0.065
0.05
0.078
0.049
0.057
0.051
0.049
0.063
0.051
99.999
0.059
0.046
0.092
0.069
0.058
0.063
0.048
0.058
0.061
0.053
0.053
0.051
0.063
0.055
0.083
0.055
0.052
0.059
99.999
0.059
0.059
0.058
0.065
0.08
0.052
0.097
0.075
0.05
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
1.101
0.678
0.85
0.748
0.746
0.629
0.621
0.692
0.708
0.648
0.727
0.693
0.979
0.64
0.644
0.692
1.08
0.676
0.632
0.645
0.637
0.759
0.683
1.101
1.029
0.964
0.711
0.798
0.717
1.045
0.739
0.674
0.655
0.689
0.77
0.665
0.786
0.7
0.687
1.077
0.777
0.847
0.869
0.724
0.69
0.852
0.729
0.671
0.648
0.782
0.699
0.955
0.74
0.742
0.669
0.853
0.651
0.635
0.679
0.737
1.056
0.681
1.103
0.969
0.679
0.019
0.022
0.024
0.023
0.022
0.021
0.023
0.021
0.02
0.024
0.024
0.022
0.022
0.022
0.026
0.02
0.025
0.023
0.023
0.022
0.026
0.031
0.022
0.023
0.021
0.02
0.024
0.025
0.02
0.026
0.025
0.027
0.026
0.025
0.026
0.027
0.025
0.027
0.027
0.022
0.025
0.022
0.023
0.025
0.022
0.024
0.021
0.027
0.028
0.022
0.025
0.028
0.028
0.025
0.024
0.024
0.026
0.025
0.024
0.025
0.025
0.024
0.026
0.026
0.027
2.082
1.307
1.542
1.478
1.435
1.333
1.283
1.355
1.416
1.328
1.418
1.381
1.973
1.311
1.307
1.321
2.096
1.321
1.337
1.337
1.301
1.466
1.44
2.184
2.029
1.999
1.358
1.659
1.436
2.07
1.368
1.465
1.351
1.32
1.454
1.433
1.588
1.409
1.394
2.111
1.478
1.556
1.771
1.362
1.348
1.572
1.46
1.408
1.373
1.621
1.394
1.799
1.402
1.398
1.418
1.547
1.365
1.376
1.426
1.377
2.073
1.388
2.092
1.861
1.355
0.016
0.019
0.021
0.021
0.019
0.019
0.019
0.02
0.018
0.021
0.021
0.021
0.019
0.021
0.023
0.018
0.021
0.022
0.02
0.019
0.022
0.058
0.02
0.02
0.016
0.017
0.021
0.021
0.017
0.021
0.022
0.024
0.022
0.021
0.022
0.024
0.022
0.024
0.025
0.019
0.022
0.02
0.019
0.022
0.02
0.022
0.019
0.023
0.023
0.019
0.023
0.024
0.025
0.022
0.021
0.02
0.023
0.022
0.023
0.022
0.02
0.024
0.022
0.022
0.023
396
AKKAYA ET AL.
© Copyright 2010: Instituto de Astronomía, Universidad Nacional Autónoma de México
TABLE 3 (CONTINUED)
X
Y
V
σV
(B − V )
σB−V
(U − B)
σU −B
(V − R)
σV −R
(V − I)
σV −I
839.3
433.4
775.2
6.7
733.6
162.1
879.8
95.3
297.4
671.1
426
88
561.4
494
220.3
929.4
657.5
658.8
692.9
797.3
225
394.2
186.5
402.9
465.6
272.8
693.1
458.4
93.2
591.8
280.8
935.1
930.1
595
614.2
794.7
721
654.6
907.4
65.7
430.1
275.2
117.1
238.7
608.8
523.2
245.7
726.4
859.9
565.1
277.8
238.2
809.9
55.8
395.8
268.8
591.5
891.8
912.1
198.7
125.7
347.4
942.1
741.3
140.3
690.7
812.5
917
420.3
48.3
236.6
393.4
992.1
334.9
823.1
601.5
649.9
469.1
329.9
609.4
100.7
710.9
425.5
956
787.9
319.2
560.6
176.4
759.5
176.8
725.2
7.2
752.8
893.1
234.8
895.1
711.8
130.4
258.4
792.3
868.4
157.3
611.3
893.5
578.3
567.4
459.6
252.6
332.1
898.4
129.9
564
51.2
211.4
651.9
299.6
140.8
303.2
807.8
103.6
801.9
119.9
212.7
684.9
828.7
224.4
581.8
673.1
946.6
207.4
18.507
18.524
18.527
18.529
18.529
18.53
18.531
18.532
18.546
18.552
18.57
18.573
18.58
18.582
18.592
18.599
18.6
18.601
18.601
18.606
18.609
18.624
18.626
18.633
18.636
18.637
18.64
18.646
18.649
18.655
18.659
18.659
18.66
18.662
18.663
18.668
18.671
18.675
18.676
18.677
18.696
18.699
18.706
18.707
18.709
18.712
18.717
18.719
18.721
18.722
18.725
18.727
18.729
18.73
18.735
18.741
18.743
18.744
18.745
18.75
18.75
18.756
18.757
18.763
18.763
0.021
0.021
0.018
0.02
0.022
0.022
0.021
0.029
0.02
0.014
0.021
0.02
0.019
0.02
0.019
0.019
0.019
0.02
0.021
0.02
0.019
0.023
0.022
0.024
0.021
0.02
0.018
0.022
0.024
0.021
0.02
0.018
0.02
0.023
0.023
0.02
0.021
0.022
0.021
0.02
0.021
0.021
0.022
0.022
0.02
0.022
0.023
0.024
0.024
0.022
0.021
0.02
0.024
0.024
0.023
0.025
0.021
0.019
0.026
0.024
0.026
0.025
0.02
0.021
0.026
1.326
1.128
1.191
1.166
1.287
1.199
1.074
1.219
1.262
1.87
99.999
1.128
1.143
1.125
1.201
1.093
1.262
1.083
1.256
1.412
1.77
1.181
1.727
1.173
1.256
1.18
1.077
1.182
1.155
1.091
1.236
1.458
1.181
1.292
1.322
1.37
99.999
1.265
1.916
1.256
1.289
1.168
1.209
1.273
1.311
1.091
1.195
1.101
1.136
1.177
1.394
1.25
1.082
1.373
1.215
1.145
1.159
1.225
1.251
1.297
1.297
1.258
1.201
99.999
1.45
0.063
0.06
0.054
0.054
0.063
0.063
0.053
0.068
0.069
0.088
99.999
0.059
0.051
0.058
0.059
0.053
0.068
0.066
0.062
0.07
0.088
0.061
0.106
0.064
0.062
0.06
0.054
0.062
0.07
0.058
0.071
0.068
0.063
0.067
0.069
0.066
99.999
0.067
0.089
0.077
0.073
0.063
0.076
0.063
0.068
0.069
0.071
0.066
0.064
0.065
0.087
0.07
0.06
0.081
0.068
0.065
0.07
0.076
0.063
0.075
0.082
0.072
0.076
99.999
0.094
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
0.729
0.67
0.719
0.681
0.807
0.774
0.756
0.763
0.782
1.144
1.114
0.669
0.789
0.703
0.699
0.664
0.692
0.678
0.746
0.799
1.011
0.727
0.997
0.713
0.695
0.796
0.672
0.718
0.708
0.764
0.705
0.767
0.724
0.708
0.802
0.803
1.159
0.76
1.021
0.863
0.785
0.695
0.789
0.733
0.724
0.694
0.704
0.705
0.705
0.762
0.764
0.833
0.712
0.753
0.762
0.722
0.688
0.692
0.76
0.737
0.807
0.607
0.755
0.716
0.749
0.027
0.027
0.024
0.027
0.029
0.028
0.028
0.043
0.026
0.021
0.028
0.028
0.025
0.026
0.025
0.028
0.026
0.027
0.027
0.028
0.025
0.029
0.028
0.029
0.028
0.026
0.025
0.029
0.033
0.027
0.027
0.024
0.028
0.029
0.03
0.025
0.028
0.027
0.027
0.026
0.029
0.028
0.03
0.028
0.026
0.028
0.029
0.03
0.032
0.029
0.029
0.025
0.031
0.032
0.03
0.03
0.028
0.028
0.032
0.031
0.034
0.031
0.027
0.026
0.034
1.398
1.37
1.444
1.455
1.576
1.415
1.521
1.484
1.46
2.197
2.175
1.364
1.397
1.409
1.389
1.359
1.453
1.41
1.446
1.499
2.037
1.445
2.076
1.385
1.427
1.482
1.38
1.406
1.411
1.435
1.473
1.442
1.447
1.431
1.562
1.627
2.278
1.418
2.031
1.654
1.55
1.415
1.522
1.485
1.422
1.379
1.447
1.403
1.363
1.448
1.512
1.588
1.371
1.572
1.615
1.479
1.442
1.445
1.482
1.449
1.508
1.328
1.421
1.432
1.548
0.024
0.025
0.021
0.023
0.024
0.026
0.024
0.06
0.024
0.016
0.023
0.024
0.024
0.024
0.021
0.023
0.022
0.023
0.025
0.024
0.02
0.026
0.024
0.027
0.024
0.025
0.022
0.025
0.028
0.024
0.023
0.021
0.026
0.027
0.026
0.022
0.022
0.026
0.022
0.023
0.025
0.026
0.025
0.024
0.023
0.026
0.025
0.027
0.03
0.027
0.023
0.024
0.027
0.027
0.026
0.029
0.024
0.023
0.028
0.028
0.029
0.028
0.023
0.025
0.029
UBVRI PHOTOMETRY OF OPEN CLUSTERS
397
© Copyright 2010: Instituto de Astronomía, Universidad Nacional Autónoma de México
TABLE 3 (CONTINUED)
X
Y
V
σV
(B − V )
σB−V
(U − B)
σU −B
(V − R)
σV −R
(V − I)
351.4
150.3
466.5
8.9
50.1
545.7
511.5
702.3
356.5
64.4
540.5
262.6
486.4
335.1
150
277.6
901.4
24.7
2.7
43
857.4
512.6
664.9
948.2
172.3
691.2
751.7
34.1
777.4
239.2
944.3
152.8
860.9
310
632.8
348.4
550.6
387.7
466.4
169.6
614.7
560.2
536.2
545
556.1
181.3
623.1
485.2
975.5
597.1
275.3
412.9
979.6
488.9
171.6
693.7
668.4
184.3
50
576.4
757.6
376.1
349.6
929.2
198.4
347.3
363.3
652.6
594.7
352.3
421.9
47.3
563.3
291.2
558.1
58.1
9
693.1
469.9
217.5
883.6
713.3
696.2
814.9
43.5
830.6
419.2
298.5
586.2
532.8
336.4
942.3
957.5
446.8
294.5
845.7
972.9
341.8
334.4
988.9
561.9
206.7
486.7
687.2
66.9
642.8
617.6
155.9
735.4
395.7
621.1
451.9
430.9
386.4
413.6
424.3
240.8
659.5
460.3
458.6
910.9
472.2
299.9
754.7
740.5
779.7
876.9
294.8
388.7
796.7
18.765
18.767
18.778
18.778
18.779
18.779
18.785
18.786
18.787
18.787
18.787
18.8
18.802
18.806
18.809
18.81
18.811
18.817
18.819
18.827
18.835
18.836
18.842
18.844
18.847
18.848
18.849
18.852
18.853
18.854
18.857
18.863
18.871
18.875
18.877
18.884
18.886
18.891
18.892
18.895
18.897
18.902
18.906
18.907
18.909
18.925
18.927
18.929
18.929
18.935
18.939
18.945
18.946
18.947
18.957
18.96
18.964
18.965
18.968
18.974
18.975
18.976
18.98
18.983
18.998
0.027
0.026
0.023
0.027
0.025
0.023
0.025
0.023
0.026
0.025
0.018
0.025
0.027
0.023
0.023
0.021
0.022
0.027
0.026
0.023
0.023
0.024
0.024
0.023
0.027
0.025
0.023
0.027
0.027
0.025
0.022
0.027
0.027
0.023
0.023
0.024
0.027
0.027
0.025
0.025
0.025
0.024
0.023
0.024
0.021
0.026
0.03
0.029
0.023
0.026
0.024
0.021
0.026
0.025
0.029
0.025
0.027
0.028
0.025
0.026
0.027
0.027
0.027
0.028
0.027
1.316
1.226
1.82
1.061
1.284
1.144
1.352
1.173
1.23
1.204
99.999
1.289
1.422
1.31
1.1
99.999
1.186
99.999
1.34
1.423
1.187
1.339
1.202
1.339
1.233
1.257
1.518
99.999
1.112
1.475
1.698
1.678
1.232
1.18
1.259
1.366
1.425
99.999
1.241
1.265
1.108
1.239
99.999
1.326
1.159
99.999
99.999
1.186
1.439
1.276
99.999
1.414
1.298
1.098
1.238
1.233
1.578
1.151
99.999
1.053
1.537
1.212
1.006
1.214
99.999
0.083
0.074
0.121
0.075
0.071
0.07
0.084
0.074
0.069
0.074
99.999
0.076
0.082
0.08
0.065
99.999
0.072
99.999
0.088
0.076
0.073
0.087
0.073
0.074
0.079
0.076
0.102
99.999
0.072
0.09
0.112
0.128
0.081
0.073
0.076
0.078
0.085
99.999
0.068
0.092
0.075
0.086
99.999
0.079
0.068
99.999
99.999
0.086
0.092
0.085
99.999
0.098
0.08
0.083
0.082
0.085
0.112
0.084
99.999
0.068
0.106
0.075
0.073
0.085
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
0.734
0.669
1.079
0.738
0.813
0.749
0.81
0.646
0.8
0.64
1.115
0.687
0.813
0.737
0.74
1.061
0.747
1.196
0.887
0.798
0.724
0.725
0.67
0.766
0.734
0.777
0.92
1.154
0.722
0.824
1.066
0.828
0.713
0.766
0.65
0.694
0.775
0.776
0.698
0.831
0.671
0.713
1.01
0.697
0.652
0.949
0.757
0.69
0.841
0.801
0.835
0.897
0.671
0.745
0.721
0.685
1.063
0.721
1.12
0.751
0.785
0.743
0.731
0.774
0.89
0.034
0.034
0.028
0.035
0.03
0.032
0.033
0.032
0.036
0.035
0.025
0.033
0.036
0.029
0.031
0.028
0.029
0.034
0.037
0.033
0.03
0.032
0.032
0.03
0.035
0.032
0.031
0.036
0.034
0.033
0.028
0.034
0.034
0.032
0.029
0.033
0.035
0.038
0.034
0.035
0.033
0.031
0.029
0.03
0.03
0.034
0.038
0.037
0.032
0.036
0.033
0.028
0.034
0.036
0.038
0.033
0.035
0.035
0.034
0.035
0.037
0.034
0.035
0.038
0.033
1.465
1.386
2.077
99.999
1.49
1.417
1.668
1.373
1.585
1.327
2.121
1.436
1.446
1.485
1.425
2.08
1.417
2.237
1.718
1.607
1.417
1.482
1.509
1.627
1.491
1.472
1.642
2.21
1.419
1.601
2.034
1.571
1.414
1.471
1.361
1.428
1.492
1.552
1.474
1.658
1.356
1.356
2.009
1.403
1.387
2.001
1.411
1.424
1.603
1.533
1.705
1.598
1.435
1.487
1.393
1.352
1.967
1.468
2.201
1.385
99.999
1.388
1.503
1.525
1.83
σV −I
0.031
0.029
0.024
99.999
0.029
0.027
0.027
0.029
0.03
0.028
0.019
0.028
0.07
0.028
0.026
0.023
0.026
0.029
0.03
0.027
0.026
0.028
0.026
0.026
0.031
0.029
0.025
0.029
0.03
0.029
0.024
0.033
0.029
0.027
0.028
0.028
0.031
0.032
0.028
0.028
0.029
0.029
0.025
0.028
0.025
0.027
0.035
0.034
0.027
0.03
0.027
0.023
0.028
0.031
0.033
0.031
0.033
0.032
0.027
0.03
99.999
0.03
0.031
0.032
0.029
398
AKKAYA ET AL.
© Copyright 2010: Instituto de Astronomía, Universidad Nacional Autónoma de México
TABLE 3 (CONTINUED)
X
Y
V
σV
(B − V )
σB−V
(U − B)
σU −B
(V − R)
σV −R
(V − I)
861.5
670.2
734.8
579
19.5
17.1
667.3
981
229.2
562.9
173.4
949.5
937.4
698
271.4
317.9
413.3
771
224
233.9
722.2
402.4
232.1
213.3
501.3
276.2
831
570.2
507.6
760.9
534.9
226.9
104.2
429.2
594.5
769.1
558.6
668.6
39.4
558.4
168.9
327.9
201
990.9
900.6
506.9
479.8
296.1
334.8
629.2
135.9
252.3
941.5
11.8
89.6
352.1
871.6
658.1
851.6
781.8
837.6
172.2
25.1
400.3
443.6
155.3
608.5
350.9
230.4
529.3
340.5
366.7
611.8
141.3
592.9
175
891.4
618.2
721.7
750.5
576.3
647.7
820.2
687.2
766.3
846.2
260.7
186.3
389.2
143
643.8
73.2
460.2
642.2
778.7
478.8
6.4
808
419.6
788.4
613.9
731.8
771.5
213.1
911.3
230.6
155
656.9
145.5
979.6
504.6
341.5
587.5
580
158.7
886.4
695.7
249.1
120
298.8
224.3
626.3
13.8
854.6
587.7
23.8
822.1
391.8
121.8
558.8
18.999
19
19
19.007
19.011
19.012
19.013
19.017
19.019
19.023
19.029
19.032
19.033
19.037
19.039
19.052
19.059
19.065
19.071
19.071
19.079
19.086
19.087
19.094
19.098
19.104
19.106
19.108
19.109
19.12
19.126
19.132
19.132
19.134
19.134
19.134
19.145
19.148
19.151
19.161
19.169
19.174
19.182
19.19
19.195
19.215
19.217
19.223
19.229
19.232
19.233
19.244
19.261
19.268
19.273
19.274
19.274
19.275
19.276
19.277
19.279
19.293
19.299
19.307
19.309
0.025
0.03
0.027
0.029
0.03
0.024
0.024
0.025
0.024
0.029
0.026
0.024
0.024
0.025
0.03
0.027
0.026
0.025
0.029
0.024
0.023
0.035
0.027
0.031
0.023
0.026
0.028
0.025
0.028
0.032
0.025
0.033
0.028
0.029
0.03
0.027
0.029
0.034
0.029
0.029
0.027
0.026
0.03
0.04
0.029
0.028
0.033
0.034
0.024
0.028
0.026
0.027
0.027
0.031
0.034
0.025
0.032
0.031
0.028
0.038
0.036
0.035
0.033
0.035
0.035
1.493
1.249
1.318
1.608
1.088
1.449
1.272
1.456
1.331
1.216
1.172
1.401
1.579
1.131
1.18
99.999
1.327
1.461
99.999
99.999
1.334
99.999
99.999
1.402
1.22
1.214
1.2
1.488
1.337
1.369
1.333
1.37
99.999
1.172
1.297
99.999
99.999
1.164
1.171
1.171
99.999
1.198
1.24
1.174
99.999
1.373
1.648
99.999
99.999
0.98
99.999
1.307
1.269
99.999
1.246
99.999
99.999
1.184
1.402
1.023
99.999
99.999
1.18
99.999
99.999
0.093
0.086
0.09
0.127
0.084
0.089
0.079
0.095
0.095
0.079
0.097
0.096
0.102
0.083
0.094
99.999
0.092
0.106
99.999
99.999
0.094
99.999
99.999
0.111
0.084
0.089
0.088
0.102
0.094
0.113
0.113
0.106
99.999
0.089
0.09
99.999
99.999
0.096
0.09
0.098
99.999
0.105
0.1
0.092
99.999
0.121
0.129
99.999
99.999
0.087
99.999
0.122
0.095
99.999
0.133
99.999
99.999
0.125
0.11
0.09
99.999
99.999
0.104
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
0.986
0.84
0.799
1.03
0.788
0.673
0.735
0.832
0.709
0.77
0.727
1.036
0.961
0.798
0.798
1.027
0.813
1.017
0.996
1.115
0.736
0.653
0.82
0.75
0.76
0.813
0.866
0.769
0.792
0.808
0.818
0.767
0.704
0.663
0.77
1.019
1.156
0.729
0.72
0.749
0.767
0.791
0.777
0.722
1.066
0.739
0.834
0.91
0.73
0.856
1.038
0.86
0.778
0.784
0.778
0.782
0.807
0.72
0.702
0.686
0.929
0.766
0.739
0.778
0.808
0.032
0.04
0.036
0.038
0.038
0.033
0.032
0.033
0.033
0.045
0.034
0.031
0.032
0.032
0.04
0.035
0.034
0.033
0.037
0.032
0.031
0.045
0.036
0.04
0.033
0.035
0.037
0.034
0.037
0.043
0.031
0.041
0.039
0.038
0.038
0.035
0.037
0.044
0.038
0.039
0.037
0.036
0.038
0.048
0.038
0.038
0.042
0.043
0.033
0.037
0.036
0.036
0.037
0.043
0.042
0.037
0.04
0.043
0.038
0.047
0.046
0.045
0.044
0.047
0.045
2.153
1.502
1.665
1.896
1.405
1.466
1.523
1.692
1.439
1.399
1.476
2.1
1.736
1.517
1.538
1.91
1.487
1.909
1.9
2.141
1.433
1.487
1.7
1.547
1.525
1.49
1.63
1.474
1.581
99.999
1.616
1.659
1.455
1.421
1.507
1.987
2.132
1.504
1.532
1.4
1.501
1.43
1.452
1.437
2.435
1.539
1.604
1.79
1.572
1.648
2.093
1.625
1.555
1.513
1.471
1.467
1.532
1.577
1.452
1.484
1.625
1.491
1.511
1.509
1.626
σV −I
0.027
0.042
0.03
0.032
0.035
0.029
0.027
0.029
0.029
0.033
0.03
0.025
0.027
0.028
0.035
0.029
0.03
0.027
0.032
0.027
0.028
0.039
0.03
0.035
0.027
0.032
0.032
0.031
0.031
99.999
0.029
0.036
0.032
0.033
0.034
0.03
0.031
0.038
0.033
0.033
0.032
0.03
0.034
0.044
0.03
0.032
0.038
0.037
0.029
0.032
0.028
0.032
0.032
0.038
0.038
0.032
0.036
0.038
0.034
0.043
0.042
0.039
0.037
0.039
0.039
UBVRI PHOTOMETRY OF OPEN CLUSTERS
399
© Copyright 2010: Instituto de Astronomía, Universidad Nacional Autónoma de México
TABLE 3 (CONTINUED)
X
Y
V
σV
(B − V )
σB−V
(U − B)
σU −B
(V − R)
σV −R
(V − I)
444.7
456.8
728.4
462.2
277.9
56.8
677.5
27
622.8
602.8
938.8
63
825.8
275.4
391.1
637.1
436.3
539.7
464.9
294.7
849.2
666.8
466.8
388.6
735.7
882.1
635.9
668.2
330.7
215.4
560.4
290.7
141
603.6
477.4
119
280
819
475.8
119.9
858
264.9
512.4
666.2
457.7
882
483.8
180.5
929.2
266.8
473
640
561.2
209.9
188.3
517.8
320.9
358
666.5
938.4
408.2
77.9
589
852.4
463.8
621.8
550
917.1
411.7
409.2
911.5
105.9
900.4
122.7
732.5
787
668.3
224.6
629
897.3
836.8
498.3
616
20.1
203
313.5
410.8
965.6
817.6
421.1
491.4
714.2
864.9
54.1
168.8
642.7
346.6
482
656.6
62.9
76
985.5
832.4
228.1
860.2
819.3
442.4
862.4
195.5
270.4
94.6
917.2
491
603.3
795.7
738.9
382.5
888.2
849.7
892.2
221
870.5
176.4
985.4
939
250.5
68.8
948.4
637.8
163.5
19.309
19.309
19.314
19.318
19.319
19.322
19.326
19.329
19.334
19.338
19.339
19.342
19.344
19.345
19.346
19.347
19.349
19.352
19.357
19.359
19.359
19.361
19.366
19.374
19.378
19.378
19.385
19.387
19.388
19.389
19.391
19.396
19.4
19.401
19.402
19.402
19.406
19.407
19.408
19.408
19.417
19.421
19.422
19.422
19.423
19.431
19.433
19.434
19.434
19.441
19.446
19.446
19.448
19.449
19.457
19.462
19.486
19.49
19.495
19.496
19.52
19.522
19.524
19.524
19.53
0.034
0.039
0.025
0.029
0.032
0.032
0.03
0.024
0.032
0.032
0.031
0.035
0.03
0.033
0.025
0.034
0.034
0.036
0.034
0.036
0.031
0.034
0.035
0.031
0.027
0.039
0.046
0.042
0.032
0.034
0.032
0.035
0.038
0.04
0.032
0.036
0.031
0.034
0.034
0.033
0.032
0.032
0.034
0.039
0.036
0.035
0.035
0.031
0.033
0.037
0.04
0.034
0.038
0.038
0.044
0.043
0.039
0.036
0.04
0.032
0.036
0.037
0.037
0.037
0.043
1.228
1.448
99.999
99.999
1.394
99.999
99.999
99.999
99.999
99.999
0.058
99.999
1.391
1.179
99.999
1.119
99.999
0.989
99.999
99.999
99.999
99.999
1.287
99.999
99.999
1.297
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
1.239
1.075
99.999
99.999
99.999
99.999
99.999
99.999
1.163
1.173
99.999
1.238
99.999
99.999
99.999
1.073
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
0.103
0.128
99.999
99.999
0.111
99.999
99.999
99.999
99.999
99.999
0.049
99.999
0.128
0.127
99.999
0.105
99.999
0.112
99.999
99.999
99.999
99.999
0.116
99.999
99.999
0.121
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
0.139
0.103
99.999
99.999
99.999
99.999
99.999
99.999
0.121
0.108
99.999
0.123
99.999
99.999
99.999
0.101
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
−0.805
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
0.068
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
0.781
0.735
0.919
0.947
0.763
0.757
1.054
0.744
0.893
0.845
−0.014
0.932
0.923
0.694
0.81
0.795
0.921
0.747
1.036
0.842
0.809
0.856
0.752
0.997
0.789
0.777
0.773
0.798
0.757
0.647
0.851
0.905
0.794
0.641
0.887
0.741
0.661
0.802
0.794
0.897
0.891
0.712
0.923
0.661
0.959
0.73
0.729
0.755
0.708
0.876
0.744
0.864
0.778
0.862
0.768
0.717
0.874
0.887
0.724
0.802
0.803
0.736
0.729
0.835
0.707
0.042
0.053
0.033
0.039
0.043
0.044
0.04
0.035
0.04
0.042
0.051
0.045
0.039
0.042
0.034
0.045
0.044
0.046
0.042
0.046
0.041
0.043
0.046
0.04
0.038
0.049
0.057
0.054
0.043
0.047
0.042
0.046
0.047
0.05
0.043
0.047
0.043
0.042
0.044
0.044
0.042
0.044
0.045
0.051
0.044
0.045
0.046
0.044
0.046
0.046
0.051
0.045
0.049
0.049
0.056
0.054
0.05
0.049
0.051
0.045
0.051
0.052
0.049
0.047
0.054
1.514
1.484
1.728
1.675
1.523
1.532
2.148
1.549
1.6
1.981
99.999
1.785
1.644
1.487
1.552
1.547
1.863
1.48
2.132
1.649
1.512
1.542
1.431
1.83
1.559
1.575
1.455
1.537
1.49
1.336
1.644
1.718
1.655
1.385
1.788
1.436
1.476
1.491
1.474
1.647
1.776
1.467
1.66
1.418
1.946
1.481
1.489
1.516
1.439
1.742
1.498
1.681
1.55
1.65
1.594
1.517
1.501
1.506
1.451
1.625
1.662
1.391
1.413
1.611
1.526
σV −I
0.039
0.05
0.03
0.034
0.034
0.038
0.031
0.031
0.037
0.039
99.999
0.039
0.036
0.037
0.03
0.039
0.038
0.041
0.036
0.039
0.035
0.038
0.04
0.037
0.034
0.043
0.052
0.048
0.036
0.04
0.036
0.038
0.041
0.044
0.036
0.042
0.039
0.038
0.041
0.038
0.035
0.036
0.042
0.045
0.038
0.04
0.041
0.037
0.039
0.042
0.045
0.039
0.043
0.041
0.048
0.049
0.045
0.042
0.045
0.035
0.042
0.043
0.042
0.043
0.047
400
AKKAYA ET AL.
© Copyright 2010: Instituto de Astronomía, Universidad Nacional Autónoma de México
TABLE 3 (CONTINUED)
X
Y
V
σV
(B − V )
σB−V
(U − B)
σU −B
(V − R)
σV −R
(V − I)
σV −I
75.8
908.5
103
77.8
121
259.3
925.9
131.7
767.5
302.2
95.2
899.7
486.9
649.4
916.2
498
194.4
844
737.2
581.6
229.5
469.2
46.7
592.9
178.3
503.6
712.3
961
299.2
752.7
180.5
436.2
750.6
173.4
411.3
792.5
161.2
991.4
467.9
128
14.1
865
392.3
365.9
588.6
579.9
558.7
354.3
593.7
552.9
892.1
554
761.4
714.2
765.7
226.7
746.9
709.1
569.3
591.2
880.7
367.8
950.8
934.6
764.4
40
71
212.9
159.4
789.5
467.2
666.9
412.9
963.8
521.8
29.1
502.3
320.5
871.7
643.2
253.8
621.4
421.1
608.8
705.3
337.6
856.7
803
612.6
404.1
544.1
14.6
523.3
702.9
202.8
340.6
340.9
306.8
566.1
299.1
268.9
795.5
267.2
142.5
626
894.9
526.6
593.1
301.3
395.2
668.7
713.5
350.4
641.3
428.6
376.9
864.7
639.3
712.7
728.1
516.2
729.5
884.1
542.4
654.5
884.8
97.3
985.3
609.6
625.4
19.53
19.532
19.533
19.539
19.557
19.559
19.575
19.58
19.594
19.614
19.614
19.631
19.638
19.639
19.64
19.654
19.66
19.66
19.688
19.693
19.697
19.7
19.714
19.716
19.721
19.729
19.732
19.732
19.736
19.736
19.737
19.738
19.739
19.75
19.753
19.765
19.767
19.77
19.782
19.803
19.814
19.817
19.849
19.911
19.94
19.969
19.985
19.988
19.992
20
20.015
20.018
20.019
20.025
20.037
20.043
20.045
20.051
20.07
20.073
20.073
20.092
20.096
20.102
20.103
0.048
0.034
0.038
0.037
0.038
0.042
0.041
0.031
0.032
0.045
0.036
0.035
0.042
0.039
0.041
0.045
0.047
0.043
0.04
0.041
0.046
0.05
0.045
0.043
0.043
0.046
0.045
0.045
0.041
0.046
0.048
0.042
0.036
0.048
0.041
0.036
0.054
0.036
0.049
0.044
0.051
0.046
0.051
0.047
0.049
0.048
0.053
0.058
0.057
0.062
0.049
0.05
0.053
0.056
0.06
0.053
0.051
0.06
0.054
0.04
0.064
0.049
0.062
0.062
0.061
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
1.055
99.999
99.999
1.345
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
0.991
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
0.111
99.999
99.999
0.184
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
0.154
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
0.659
0.783
0.821
0.745
0.818
0.8
0.746
1.095
0.717
0.999
0.718
0.998
0.709
0.946
1.102
0.997
0.891
0.928
0.894
0.659
0.924
1.015
0.774
0.834
0.788
0.819
0.794
0.903
0.807
0.796
0.872
0.61
0.737
0.803
0.809
0.826
0.793
0.628
0.799
0.748
0.889
0.823
0.767
1.17
0.713
1.129
1.096
1.099
1.104
0.999
0.983
0.999
0.965
0.95
1.167
0.954
1.082
0.939
0.836
0.869
0.873
0.823
0.843
0.85
0.842
0.064
0.044
0.051
0.05
0.05
0.054
0.055
0.041
0.044
0.061
0.05
0.046
0.056
0.049
0.053
0.059
0.061
0.055
0.052
0.053
0.059
0.063
0.057
0.056
0.057
0.058
0.063
0.058
0.054
0.062
0.065
0.057
0.049
0.064
0.054
0.05
0.067
0.049
0.063
0.058
0.068
0.059
0.068
0.063
0.068
0.06
0.068
0.074
0.073
0.078
0.066
0.064
0.07
0.071
0.075
0.069
0.065
0.075
0.071
0.054
0.081
0.067
0.08
0.079
0.079
1.378
1.484
1.507
1.469
1.575
1.578
1.606
2.149
1.519
2.143
1.589
1.983
1.443
1.839
2.141
1.877
1.646
1.806
1.663
1.452
1.842
1.862
1.553
1.589
1.674
1.774
1.554
1.805
1.557
1.516
1.657
1.383
1.497
1.464
1.547
1.767
1.646
1.346
1.71
1.63
1.702
1.599
1.598
2.019
1.476
2.104
2.086
2.062
2.013
1.859
1.759
1.977
1.771
1.773
2.653
1.796
2.086
1.743
1.621
1.614
1.621
1.563
1.656
1.701
1.731
0.06
0.041
0.045
0.044
0.043
0.048
0.049
0.033
0.037
0.046
0.045
0.039
0.05
0.043
0.043
0.052
0.051
0.047
0.046
0.047
0.049
0.054
0.05
0.049
0.049
0.05
0.055
0.049
0.047
0.053
0.055
0.049
0.041
0.056
0.047
0.042
0.057
0.043
0.052
0.049
0.058
0.053
0.057
0.052
0.056
0.052
0.058
0.063
0.063
0.068
0.058
0.055
0.058
0.061
0.061
0.06
0.055
0.066
0.062
0.049
0.073
0.058
0.069
0.068
0.068
UBVRI PHOTOMETRY OF OPEN CLUSTERS
401
© Copyright 2010: Instituto de Astronomía, Universidad Nacional Autónoma de México
TABLE 3 (CONTINUED)
X
Y
V
σV
(B − V )
σB−V
(U − B)
σU −B
(V − R)
σV −R
(V − I)
σV −I
417.5
88.7
964.3
473.2
583
849.2
635
686.7
831.9
285.4
506.3
503.3
788
645.4
158
252.2
969.6
322.6
909.1
853.6
512.3
981.4
605.7
147.8
805.1
754.5
475.5
419.7
880
253
825.6
533.3
870
584.9
971.2
568.3
901.7
990.6
784.3
404.5
809.9
109.2
726.7
833.3
993.4
961.8
605.6
666.7
795.7
960.8
941.4
943.9
871.2
889.1
606.2
218.9
573.6
194.1
382.4
379.1
940.4
683.9
646.6
651.2
96.9
66.5
964.5
246.9
973.6
173.2
787
273.4
825.9
870.4
959.5
830.4
802.5
36.3
580.8
669.4
909.6
443.1
609.3
326.8
170.9
339.4
500.4
192.3
751.6
349.6
359.6
900.1
313.4
437.1
364
811.1
527.1
99.4
120.9
453.6
444.3
244.7
741.3
224.1
103.9
45.4
654.6
251.2
833.8
427.6
20.105
20.105
20.109
20.111
20.113
20.113
20.117
20.118
20.122
20.127
20.128
20.132
20.132
20.144
20.15
20.154
20.161
20.165
20.172
20.174
20.185
20.196
20.21
20.217
20.219
20.221
20.225
20.226
20.227
20.236
20.239
20.24
20.24
20.244
20.246
20.252
20.253
20.254
20.266
20.27
20.283
20.284
20.286
20.29
20.302
20.321
20.342
20.364
20.365
20.395
20.398
20.409
20.423
20.445
20.516
0.058
0.056
0.052
0.05
0.058
0.058
0.055
0.062
0.053
0.058
0.078
0.063
0.063
0.061
0.063
0.054
0.056
0.064
0.053
0.056
0.068
0.049
0.055
0.074
0.063
0.066
0.066
0.062
0.081
0.064
0.08
0.053
0.074
0.073
0.064
0.074
0.055
0.059
0.062
0.069
0.071
0.091
0.066
0.075
0.067
0.068
0.074
0.064
0.074
0.082
0.074
0.072
0.072
0.099
0.091
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
0.879
0.838
0.865
0.936
0.89
0.874
0.834
0.834
0.99
0.826
0.871
0.841
1.038
0.765
0.85
0.763
0.731
1.02
0.764
0.913
0.781
1.012
0.826
0.757
0.787
1.162
1.036
1.068
0.744
0.642
0.861
0.827
1.169
0.869
0.994
0.787
0.945
0.836
0.913
0.76
1.089
0.771
0.689
0.811
0.825
0.888
0.794
0.884
0.871
0.832
0.766
0.899
0.918
1.046
1.033
0.075
0.072
0.067
0.067
0.077
0.079
0.071
0.081
0.068
0.078
0.097
0.081
0.08
0.081
0.081
0.075
0.078
0.084
0.072
0.071
0.088
0.064
0.074
0.094
0.082
0.082
0.083
0.079
0.1
0.089
0.102
0.075
0.095
0.093
0.083
0.096
0.075
0.079
0.08
0.089
0.089
0.115
0.085
0.098
0.084
0.089
0.096
0.082
0.097
0.105
0.1
0.094
0.095
0.126
0.117
1.816
1.649
1.622
1.724
1.741
1.723
1.764
1.697
2.078
1.626
1.794
1.593
1.841
1.65
1.721
1.564
1.694
99.999
1.539
1.708
1.463
2.157
1.676
1.442
1.687
1.901
1.813
1.914
1.675
1.399
1.667
1.543
2.122
1.801
1.929
1.691
1.747
1.78
1.661
1.6
2.181
1.674
1.695
1.545
1.805
1.768
1.636
1.768
1.794
1.804
1.65
1.637
1.676
1.884
2.15
0.063
0.063
0.061
0.057
0.066
0.065
0.061
0.069
0.057
0.067
0.083
0.071
0.07
0.069
0.075
0.062
0.062
99.999
0.061
0.064
0.077
0.053
0.065
0.085
0.07
0.073
0.073
0.071
0.088
0.077
0.088
0.063
0.081
0.079
0.069
0.081
0.061
0.064
0.072
0.078
0.075
0.097
0.073
0.082
0.071
0.073
0.082
0.072
0.08
0.087
0.084
0.082
0.082
0.112
0.096
2.3. The data inspection tools elipse and safe
Since the stellar density of a cluster increases towards its center with respect to the field stars, an
awk macro (elipse, Moitinho 2003, private communication) was used to extract the data of the central
region of a given cluster, as defined by visual inspec-
tion in a visual (V ) or red (R) image, thus increasing
the contrast of the cluster with respect to the surrounding field stars. An ellipse was fitted visually to
the image in order to extract the photometric data of
the central region of the cluster. To further support
the analyses of the clusters, a Java-based computer
program (safe, McFarland 2010) was developed and
402
AKKAYA ET AL.
TABLE 4
© Copyright 2010: Instituto de Astronomía, Universidad Nacional Autónoma de México
CCD UBVRI PHOTOMETRY OF RU 135
X
Y
V
σV
862.7
237.1
294
753.2
219.7
251.1
914.4
905.1
244
765.1
754.6
312
929
311.8
240.7
375.8
170
900.7
59.6
469.5
853.8
809.4
811.6
655.4
900.3
153.8
989.5
472.4
61.3
501.1
183.2
818.7
351.3
379.3
343.8
68.5
706.7
150.3
313.6
375.9
799.1
903.7
864.3
521.4
892.6
461.7
76.8
695.9
463
203.7
360.7
470.2
247.4
548
140.3
188.1
209.3
328.2
88
211
627.1
358.2
333.6
444
231.5
325.4
387.3
283.1
343
263.2
595.1
237
620.7
218
654.7
509.4
857.1
534.8
741.6
871.1
549.7
200.3
527.3
207.9
605.3
224
155.8
41.7
424.6
339.4
613.4
387.8
781.1
703.7
500.2
932
365.8
444
97.8
51
842.4
825.4
726.9
803.3
572.3
670.2
948.6
250.4
117
756.4
106.8
568.1
662.2
486
317
605.9
882.8
109.8
606.1
270.2
281.9
15.2
309.4
583.4
302.6
286.1
329.6
138.8
11.132
11.689
11.871
12.258
12.337
12.691
12.697
12.769
12.8
12.809
13.162
13.221
13.228
13.467
14.015
14.124
14.153
14.153
14.168
14.189
14.221
14.231
14.256
14.441
14.467
14.601
14.68
14.741
14.918
14.956
14.976
14.986
14.994
15.06
15.111
15.134
15.192
15.197
15.205
15.224
15.23
15.288
15.3
15.316
15.322
15.425
15.463
15.488
15.506
15.517
15.546
15.559
15.6
15.611
15.616
15.655
15.658
15.663
15.683
15.74
15.745
15.779
15.836
15.841
0.003
0.003
0.008
0.002
0.004
0.005
0.005
0.004
0.004
0.005
0.002
0.002
0.002
0.002
0.003
0.003
0.003
0.005
0.003
0.003
0.004
0.003
0.003
0.005
0.003
0.003
0.004
0.004
0.005
0.005
0.004
0.003
0.004
0.003
0.004
0.006
0.004
0.004
0.004
0.003
0.004
0.005
0.004
0.005
0.004
0.005
0.006
0.006
0.005
0.007
0.005
0.004
0.004
0.004
0.005
0.005
0.005
0.006
0.005
0.004
0.005
0.004
0.008
0.005
(B − V )
σB−V
(U − B)
σU −B
(V − R)
σV −R
(V − I)
σV −I
0.597
0.71
0.742
0.742
0.789
0.734
0.729
0.768
0.755
0.686
2.372
0.995
1.885
1.023
0.818
1.035
0.835
1.018
0.831
0.859
1.196
1.853
1.446
0.948
2.276
1.895
1.226
0.969
1.098
1.036
0.99
2.001
0.999
2.422
1.031
1.088
1.84
1.112
2.212
2.564
2.175
0.988
1.032
1.04
1.195
1.084
1.174
1.072
1.279
2.078
1.068
1.315
2.152
1.321
1.837
1.176
1.184
1.1
1.884
1.191
1.194
1.274
1.821
1.097
0.004
0.003
0.003
0.004
0.003
0.004
0.004
0.003
0.003
0.005
0.006
0.011
0.009
0.005
0.005
0.006
0.005
0.01
0.006
0.006
0.008
0.011
0.008
0.009
0.011
0.013
0.008
0.008
0.01
0.009
0.008
0.012
0.009
0.017
0.009
0.014
0.014
0.01
0.017
0.018
0.017
0.01
0.011
0.01
0.011
0.011
0.015
0.014
0.011
0.021
0.012
0.012
0.019
0.012
0.016
0.013
0.014
0.014
0.018
0.013
0.013
0.014
0.024
0.014
0.212
0.364
0.405
0.405
0.409
0.418
0.383
0.401
0.378
0.426
2.415
0.399
1.897
0.446
0.444
0.31
0.345
0.422
0.403
0.494
0.529
1.838
1.047
0.543
2.269
1.697
0.502
0.442
0.407
0.428
0.385
1.942
0.384
99.999
0.352
0.459
1.504
0.388
99.999
99.999
99.999
0.556
0.343
0.404
0.554
0.441
0.552
0.396
0.749
99.999
0.374
0.62
99.999
0.62
1.35
0.437
0.464
0.398
1.365
0.571
0.591
0.588
99.999
0.394
0.002
0.003
0.004
0.005
0.005
0.005
0.004
0.006
0.006
0.005
0.033
0.007
0.024
0.008
0.01
0.012
0.01
0.013
0.012
0.011
0.014
0.038
0.02
0.013
0.088
0.049
0.021
0.017
0.02
0.019
0.019
0.079
0.017
99.999
0.02
0.025
0.079
0.023
99.999
99.999
99.999
0.022
0.023
0.023
0.031
0.025
0.029
0.025
0.034
99.999
0.028
0.035
99.999
0.033
0.085
0.029
0.031
0.029
0.119
0.033
0.034
0.037
99.999
0.031
0.36
0.387
0.45
0.45
0.47
0.431
0.433
0.447
0.439
0.414
1.276
0.549
1.003
0.579
0.462
0.63
0.483
0.592
0.462
0.494
0.693
0.993
0.811
0.552
1.236
1.004
0.715
0.556
0.654
0.627
0.602
1.115
0.585
1.301
0.571
0.632
1.03
0.657
1.223
1.531
1.197
0.573
0.632
0.609
0.706
0.609
0.651
0.65
0.735
1.127
0.643
0.747
1.191
0.743
1.014
0.689
0.693
0.659
1.005
0.699
0.717
0.737
0.987
0.614
0.01
0.014
0.038
0.002
0.015
0.014
0.014
0.01
0.01
0.012
0.002
0.003
0.003
0.002
0.02
0.003
0.017
0.008
0.024
0.004
0.005
0.003
0.003
0.005
0.003
0.004
0.005
0.004
0.006
0.005
0.004
0.004
0.004
0.004
0.005
0.009
0.005
0.006
0.005
0.004
0.005
0.006
0.006
0.006
0.006
0.006
0.008
0.009
0.006
0.008
0.007
0.006
0.005
0.006
0.006
0.007
0.006
0.008
0.006
0.006
0.006
0.007
0.012
0.006
99.999
0.86
0.895
99.999
0.97
0.886
0.915
0.956
0.867
0.861
2.387
1.099
1.88
1.125
0.976
1.266
1.001
99.999
0.995
1.025
1.353
1.896
1.556
1.138
2.373
1.915
1.464
1.137
1.297
1.253
1.212
2.156
1.193
2.513
1.177
1.309
1.986
1.316
2.286
3.096
2.282
1.197
1.293
1.242
1.405
1.244
1.321
1.255
1.424
2.196
1.261
1.489
2.26
1.479
1.982
1.392
1.377
1.325
1.983
1.372
1.432
1.462
1.85
1.263
99.999
0.011
0.014
99.999
0.01
0.003
0.003
0.003
0.003
0.003
0.01
0.007
0.01
0.003
0.003
0.003
0.004
99.999
0.004
0.004
0.005
0.004
0.003
0.005
0.003
0.005
0.004
0.005
0.006
0.005
0.004
0.004
0.005
0.004
0.005
0.008
0.004
0.005
0.004
0.003
0.005
0.005
0.005
0.005
0.005
0.005
0.007
0.027
0.006
0.006
0.007
0.005
0.004
0.005
0.005
0.006
0.006
0.007
0.005
0.005
0.006
0.006
0.027
0.006
UBVRI PHOTOMETRY OF OPEN CLUSTERS
403
© Copyright 2010: Instituto de Astronomía, Universidad Nacional Autónoma de México
TABLE 4 (CONTINUED)
X
Y
V
σV
184.3
290.3
185.1
752.2
882.7
752.8
366.3
768.8
338.2
824.9
886.1
306.2
191.6
92
415.8
413.4
95.5
24.3
815.3
813.1
515.2
610.2
282.9
630.8
344.2
79.3
572.8
129.5
737.2
264.5
934.5
760.6
61.3
746.1
137
490.8
409.1
95.7
354.4
812.7
505.7
863.5
972.6
2.1
391.1
873.1
586.2
290
725.5
555
854
461.8
905.1
456.4
99.2
927.5
680.8
213.2
406.4
419
586.2
794.2
678.4
849.3
365.7
156.4
820
303.8
234.9
402
333.3
733.8
480.5
543
90.7
64.7
231.2
824.7
669.5
678
968.1
213.4
889.5
299.1
887.9
638.1
188.3
294
830.9
635.4
162.9
270.1
213.6
127
811.1
777.8
237.7
550.9
553.6
114.2
235.2
408.2
283.6
22.9
941.2
355.6
194.2
537.6
730.3
118.5
830.6
206.6
658.1
63.5
100.3
250.4
771.5
176.8
15.1
781.6
770.3
475
105.6
622.9
861.7
210.8
482.6
705.6
942
61.4
892.8
570
15.872
15.937
16.002
16.035
16.039
16.051
16.091
16.107
16.112
16.124
16.133
16.141
16.186
16.2
16.235
16.237
16.243
16.3
16.324
16.356
16.388
16.405
16.434
16.465
16.467
16.506
16.526
16.538
16.557
16.594
16.614
16.634
16.652
16.664
16.673
16.687
16.709
16.717
16.733
16.742
16.752
16.767
16.781
16.789
16.817
16.842
16.85
16.873
16.877
16.887
16.893
16.913
16.923
16.941
16.949
16.953
16.967
16.969
16.987
16.995
17.031
17.04
17.043
17.07
17.073
17.083
0.006
0.005
0.006
0.005
0.006
0.004
0.006
0.006
0.006
0.006
0.006
0.006
0.005
0.006
0.006
0.007
0.006
0.006
0.006
0.006
0.007
0.006
0.006
0.007
0.007
0.008
0.021
0.006
0.013
0.007
0.009
0.008
0.007
0.008
0.007
0.008
0.008
0.01
0.007
0.007
0.009
0.008
0.009
0.009
0.009
0.01
0.008
0.009
0.008
0.008
0.013
0.008
0.011
0.007
0.01
0.009
0.008
0.009
0.009
0.011
0.01
0.009
0.012
0.01
0.01
0.008
(B − V )
σB−V
(U − B)
σU −B
(V − R)
σV −R
(V − I)
2.283
1.284
2.123
1.217
1.919
1.208
2.366
2.45
1.23
2.435
1.304
1.819
1.206
1.869
1.435
2.121
1.18
1.182
1.194
1.982
1.684
1.342
1.129
1.319
1.347
1.229
1.805
1.239
1.498
2.012
2.107
1.309
1.884
2.049
1.193
1.758
1.326
1.954
1.144
1.902
1.286
1.727
1.918
2.02
1.322
1.587
1.634
2.045
1.24
1.771
1.408
1.371
1.366
2.022
99.999
1.58
1.871
1.477
1.7
1.88
1.26
1.926
2.349
1.88
1.297
1.268
0.023
0.016
0.027
0.016
0.021
0.015
0.027
0.028
0.017
0.032
0.019
0.02
0.016
0.025
0.019
0.028
0.017
0.018
0.02
0.024
0.025
0.022
0.018
0.021
0.021
0.021
0.034
0.021
0.023
0.031
0.038
0.022
0.03
0.033
0.022
0.029
0.023
0.034
0.023
0.031
0.025
0.03
0.033
0.04
0.026
0.032
0.031
0.036
0.025
0.034
0.027
0.028
0.029
0.036
99.999
0.03
0.036
0.03
0.035
0.043
0.025
0.043
0.061
0.04
0.03
0.026
99.999
0.499
99.999
0.546
99.999
0.579
99.999
99.999
0.653
99.999
99.999
99.999
0.543
99.999
0.716
99.999
0.262
0.353
0.593
99.999
99.999
0.947
0.392
0.568
0.765
99.999
99.999
0.392
0.822
99.999
99.999
0.639
99.999
99.999
0.559
99.999
0.727
99.999
0.481
99.999
0.652
99.999
99.999
99.999
0.71
99.999
99.999
99.999
0.451
99.999
0.58
99.999
0.665
99.999
99.999
99.999
99.999
99.999
99.999
99.999
0.761
99.999
99.999
99.999
99.999
99.999
99.999
0.038
99.999
0.043
99.999
0.042
99.999
99.999
0.05
99.999
99.999
99.999
0.044
99.999
0.063
99.999
0.04
0.047
0.054
99.999
99.999
0.081
0.045
0.059
0.07
99.999
99.999
0.059
0.107
99.999
99.999
0.071
99.999
99.999
0.074
99.999
0.077
99.999
0.064
99.999
0.098
99.999
99.999
99.999
0.095
99.999
99.999
99.999
0.082
99.999
0.111
99.999
0.088
99.999
99.999
99.999
99.999
99.999
99.999
99.999
0.103
99.999
99.999
99.999
99.999
99.999
1.231
0.723
1.139
0.715
1.051
0.727
1.308
1.312
0.762
1.381
0.718
0.921
0.708
0.999
0.793
1.122
0.649
0.701
0.76
1.103
0.941
0.769
0.709
0.785
0.768
0.74
1.028
0.714
0.862
1.095
1.144
0.777
1.057
1.109
0.743
1.029
0.763
1.103
0.698
1.057
0.752
1.082
1.026
1.077
0.76
0.878
0.874
1.175
0.718
0.988
0.796
0.773
0.772
1.123
1.036
0.939
1.029
0.851
0.979
1.037
0.741
1.098
1.293
1.07
0.828
0.764
0.007
0.007
0.007
0.008
0.007
0.006
0.007
0.008
0.009
0.008
0.008
0.008
0.008
0.008
0.008
0.008
0.009
0.01
0.009
0.008
0.008
0.009
0.008
0.01
0.009
0.01
0.067
0.01
0.01
0.008
0.012
0.009
0.009
0.01
0.01
0.01
0.011
0.012
0.01
0.009
0.012
0.01
0.011
0.012
0.011
0.012
0.01
0.011
0.011
0.011
0.012
0.011
0.013
0.009
0.013
0.011
0.01
0.012
0.011
0.014
0.012
0.011
0.016
0.012
0.013
0.011
2.301
1.418
2.165
1.418
2.013
1.435
2.527
2.477
1.471
2.598
1.438
1.676
1.429
1.928
1.576
2.164
1.354
1.439
1.495
2.116
1.798
1.516
1.405
1.499
1.506
1.461
99.999
1.408
1.671
2.074
2.187
1.533
2.061
2.11
1.437
2.007
1.498
2.117
1.407
2.031
1.481
2.244
2.028
2.098
1.488
1.721
1.742
2.249
1.433
1.947
1.58
1.49
1.539
2.116
2.123
1.806
2.015
1.668
1.894
2.012
1.467
2.084
2.421
2.077
1.58
1.493
σV −I
0.006
0.007
0.006
0.007
0.006
0.006
0.006
0.006
0.008
0.006
0.007
0.006
0.007
0.006
0.007
0.007
0.008
0.008
0.008
0.007
0.007
0.008
0.008
0.009
0.008
0.008
99.999
0.009
0.009
0.007
0.01
0.009
0.008
0.008
0.009
0.008
0.01
0.011
0.01
0.008
0.011
0.008
0.009
0.01
0.01
0.011
0.009
0.009
0.01
0.009
0.011
0.01
0.011
0.008
0.039
0.01
0.009
0.01
0.009
0.014
0.01
0.009
0.013
0.01
0.011
0.009
404
AKKAYA ET AL.
© Copyright 2010: Instituto de Astronomía, Universidad Nacional Autónoma de México
TABLE 4 (CONTINUED)
X
Y
V
σV
368.6
445.4
218.5
476.3
822
906.3
482.2
237.5
527.7
906.9
201.5
925.6
466
446.9
745.3
751.7
607.5
753.5
319.2
810
110.2
357.8
328.3
818.2
611.8
508
971.1
919.6
547.2
824.3
7.8
869.9
974.9
792.6
31.4
518.1
334.7
87.4
87.5
469.8
655.5
528.4
137.2
111.4
201.9
7.3
164.5
229.5
167.3
608.8
72.4
434.2
734.2
659.9
468.6
690.6
795.7
205.9
879.8
873.3
714.3
601.7
24.5
331.1
768.7
282.8
275.1
296.3
564.4
271.1
108.5
510.2
595.9
120.7
735.7
842.3
732.9
149.5
902.1
492.6
579.2
152.2
572.6
233.6
878.6
904
933.7
451.6
762.8
740.1
964.6
75.8
836.7
70.5
231.7
986.5
319.3
635.1
118.1
311.8
739.7
429.3
347.9
480.8
256.5
867.5
726.6
217.8
585.6
515.9
138.1
466.3
186.9
520.9
429.6
72.8
217.1
710.5
460.8
85.5
705.9
801.2
485.1
514
929.6
723.2
66.9
607.3
766.4
211.7
25.7
367.4
17.086
17.104
17.138
17.139
17.151
17.165
17.168
17.173
17.181
17.183
17.184
17.197
17.217
17.218
17.219
17.219
17.223
17.224
17.236
17.241
17.245
17.249
17.26
17.263
17.306
17.31
17.322
17.327
17.357
17.382
17.389
17.397
17.418
17.424
17.429
17.43
17.448
17.453
17.459
17.461
17.461
17.463
17.469
17.476
17.485
17.487
17.489
17.505
17.511
17.522
17.532
17.534
17.542
17.547
17.551
17.57
17.582
17.583
17.584
17.587
17.594
17.623
17.627
17.632
17.642
17.643
0.009
0.011
0.009
0.01
0.01
0.01
0.009
0.009
0.009
0.011
0.009
0.015
0.009
0.014
0.011
0.011
0.011
0.011
0.01
0.011
0.011
0.01
0.01
0.01
0.011
0.012
0.011
0.012
0.011
0.011
0.013
0.01
0.009
0.015
0.013
0.012
0.013
0.011
0.012
0.012
0.011
0.012
0.011
0.014
0.012
0.011
0.013
0.011
0.012
0.012
0.013
0.012
0.012
0.013
0.012
0.012
0.014
0.014
0.012
0.011
0.013
0.012
0.015
0.014
0.012
0.014
(B − V )
σB−V
(U − B)
σU −B
(V − R)
σV −R
(V − I)
2.122
1.301
1.362
1.332
2.077
1.756
1.926
2.32
1.942
1.385
1.217
99.999
1.854
99.999
1.391
1.897
1.342
1.803
1.311
1.403
1.413
1.513
1.815
1.784
1.419
1.431
1.909
1.279
1.756
1.823
2.027
1.69
2.62
1.873
2.082
1.284
1.36
2.005
2.073
1.473
1.536
2.028
1.984
1.968
2.028
1.361
1.42
1.33
1.653
1.609
1.351
1.447
1.702
2.064
1.368
1.328
99.999
2.232
1.381
1.898
1.376
2.037
1.367
1.393
2.137
99.999
0.051
0.029
0.033
0.028
0.049
0.039
0.045
0.052
0.045
0.034
0.031
99.999
0.043
99.999
0.034
0.053
0.033
0.038
0.031
0.035
0.035
0.034
0.041
0.041
0.035
0.035
0.05
0.038
0.048
0.052
0.051
0.046
0.081
0.055
0.063
0.037
0.036
0.058
0.068
0.041
0.039
0.067
0.051
0.058
0.063
0.035
0.037
0.042
0.053
0.046
0.043
0.054
0.047
0.052
0.038
0.04
99.999
0.07
0.044
0.05
0.044
0.073
0.045
0.045
0.077
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
1.196
0.746
0.757
0.758
1.21
0.991
1.131
1.267
1.052
0.8
0.8
0.83
0.993
1.086
0.881
1.078
0.786
1.094
0.75
0.861
0.787
0.825
1.021
1.012
0.804
0.81
1.064
0.767
1.025
1.022
1.085
1.029
1.382
1.034
1.137
0.757
0.796
1.093
1.098
0.854
0.858
1.127
1.097
1.092
1.17
0.78
0.789
0.812
1.014
0.846
0.77
0.914
0.974
1.102
0.812
0.828
1.103
1.212
0.803
1.123
0.8
1.104
0.758
0.835
1.201
1.004
0.011
0.014
0.012
0.013
0.013
0.013
0.012
0.012
0.011
0.014
0.012
0.022
0.011
0.019
0.014
0.015
0.014
0.014
0.013
0.015
0.015
0.013
0.013
0.013
0.015
0.014
0.014
0.015
0.014
0.014
0.016
0.013
0.012
0.019
0.016
0.016
0.016
0.014
0.015
0.015
0.014
0.016
0.014
0.019
0.016
0.016
0.017
0.015
0.015
0.015
0.017
0.015
0.015
0.017
0.015
0.017
0.018
0.018
0.015
0.014
0.017
0.015
0.018
0.018
0.016
0.018
2.257
1.485
1.519
1.494
2.301
1.952
2.12
2.38
1.994
1.585
1.525
1.654
1.949
99.999
1.718
2.063
1.55
2.079
1.474
1.66
1.558
1.591
1.969
1.956
1.572
1.613
2.097
1.542
1.975
1.953
2.095
1.973
2.67
1.989
2.149
1.542
1.521
2.092
2.116
1.673
1.66
2.086
2.082
2.107
2.187
1.54
1.548
1.523
1.966
1.679
1.537
1.728
1.843
2.127
1.61
1.662
2.119
2.285
1.618
2.092
1.574
2.101
1.545
1.554
2.278
1.968
σV −I
0.009
0.012
0.01
0.011
0.011
0.01
0.01
0.01
0.009
0.012
0.011
0.019
0.009
99.999
0.012
0.012
0.012
0.012
0.011
0.013
0.013
0.011
0.011
0.011
0.014
0.013
0.012
0.013
0.012
0.012
0.013
0.011
0.01
0.016
0.013
0.014
0.014
0.012
0.012
0.013
0.012
0.013
0.012
0.015
0.013
0.012
0.015
0.013
0.013
0.013
0.015
0.014
0.013
0.014
0.013
0.014
0.015
0.015
0.013
0.012
0.015
0.013
0.016
0.016
0.013
0.016
UBVRI PHOTOMETRY OF OPEN CLUSTERS
405
© Copyright 2010: Instituto de Astronomía, Universidad Nacional Autónoma de México
TABLE 4 (CONTINUED)
X
Y
V
σV
271
410.2
174.1
451.2
310.9
654.1
789.2
775.5
348.7
210.8
544.3
323.4
902.9
296.1
356
779.3
363.4
547.8
780.8
203
92.1
702.2
662.5
725.8
877.3
985.6
218.7
951.4
275.4
555.7
246
850.1
129.8
768.6
226.9
848.3
624.2
656.1
924.3
485.3
776.4
626.6
169.6
475.8
615.9
668.5
981.7
88.4
473.4
695.6
125.4
71.7
781.7
19.2
384.2
71.3
293.6
234.5
794.2
686.7
381.4
262.2
240.9
732.9
452.9
564.3
201.8
815.2
880.8
656.3
206.9
576.7
702.1
886.6
659.8
480.9
696.3
401.1
681.7
529.6
482.3
599.5
109.5
846.7
604.5
36.2
990.2
601.4
917.2
623
477.7
318.6
812.3
441
536.2
140.9
723.6
803.5
227.8
616.3
302.7
122.4
13.8
636.9
881
54.3
547.5
918.6
332.3
951.5
635.6
725.7
950.3
816.2
164.6
330.1
340
473.4
480.8
716.9
612.5
314.4
642.1
252.3
761
183.9
217.1
294.3
236.3
758.2
189.2
495.4
17.667
17.667
17.669
17.669
17.67
17.672
17.683
17.685
17.694
17.701
17.701
17.708
17.715
17.717
17.728
17.733
17.74
17.756
17.761
17.767
17.767
17.768
17.769
17.775
17.777
17.784
17.789
17.796
17.799
17.803
17.818
17.819
17.822
17.826
17.83
17.842
17.843
17.859
17.873
17.878
17.878
17.891
17.892
17.894
17.927
17.93
17.934
17.936
17.939
17.943
17.946
17.949
17.958
17.964
17.968
17.97
17.974
17.978
17.983
17.991
17.995
17.997
17.999
18.004
18.011
18.017
0.013
0.015
0.014
0.015
0.012
0.013
0.014
0.014
0.013
0.013
0.015
0.014
0.012
0.014
0.013
0.015
0.014
0.015
0.016
0.015
0.017
0.014
0.014
0.013
0.013
0.016
0.014
0.013
0.015
0.012
0.014
0.014
0.015
0.015
0.015
0.019
0.015
0.016
0.015
0.015
0.016
0.015
0.018
0.014
0.016
0.016
0.017
0.014
0.015
0.019
0.016
0.015
0.016
0.015
0.014
0.019
0.017
0.017
0.02
0.015
0.016
0.018
0.017
0.015
0.018
0.016
(B − V )
σB−V
(U − B)
σU −B
(V − R)
σV −R
(V − I)
99.999
2.004
1.98
1.413
1.611
2.396
1.487
1.056
1.294
2.119
1.373
2.048
2.119
1.454
1.282
1.307
1.812
1.413
1.361
1.781
1.47
1.339
1.962
1.525
2.019
1.468
1.235
1.41
1.899
1.857
1.866
1.613
1.398
1.358
2.57
99.999
1.392
1.834
2.234
1.752
1.894
1.644
1.62
1.815
1.859
1.474
1.544
1.761
1.801
1.944
1.876
2.197
1.83
1.341
1.563
1.929
1.661
1.8
2.19
1.378
2.145
2.129
99.999
1.675
1.444
1.859
99.999
0.065
0.065
0.045
0.051
0.086
0.048
0.037
0.041
0.077
0.045
0.074
0.066
0.05
0.045
0.062
0.06
0.049
0.063
0.067
0.049
0.041
0.062
0.05
0.067
0.054
0.043
0.05
0.074
0.064
0.078
0.051
0.049
0.049
0.116
99.999
0.049
0.074
0.144
0.07
0.074
0.061
0.066
0.075
0.074
0.055
0.055
0.074
0.072
0.083
0.073
0.096
0.074
0.055
0.058
0.075
0.071
0.074
0.101
0.06
0.103
0.102
99.999
0.065
0.065
0.069
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
1.113
1.171
1.109
0.727
0.882
1.263
0.826
0.658
0.753
1.122
0.831
1.048
1.185
0.817
0.818
0.778
1
0.831
0.879
1.064
0.797
0.828
1.058
0.897
1.091
0.825
0.789
0.79
1.156
1.158
1.13
0.868
0.868
0.833
1.193
1.086
0.844
1.18
1.974
0.986
1.086
0.991
0.904
1.039
1.086
0.858
0.887
1.037
1.124
1.13
1.089
1.098
0.997
0.781
0.882
1.103
0.979
0.975
1.16
0.862
1.202
1.164
1.041
0.916
0.852
1.2
0.018
0.02
0.019
0.019
0.016
0.017
0.019
0.019
0.018
0.017
0.019
0.018
0.016
0.019
0.017
0.02
0.018
0.019
0.024
0.019
0.024
0.018
0.018
0.017
0.017
0.023
0.018
0.017
0.019
0.016
0.018
0.018
0.018
0.02
0.019
0.024
0.02
0.02
0.02
0.019
0.02
0.019
0.023
0.018
0.021
0.02
0.023
0.019
0.019
0.026
0.02
0.02
0.021
0.019
0.019
0.023
0.022
0.021
0.026
0.02
0.02
0.022
0.022
0.02
0.023
0.02
2.15
2.15
2.12
1.478
1.75
2.388
1.652
1.364
1.529
2.14
1.64
1.956
2.209
1.569
1.611
1.535
1.911
1.632
1.686
2.072
1.56
1.609
2.044
1.742
2.078
1.595
1.573
1.571
2.143
2.171
2.125
1.65
1.63
1.656
2.303
2.079
1.607
2.467
4.023
1.968
2.068
1.87
1.844
2.036
2.107
1.685
1.728
1.989
2.07
99.999
2.093
2.188
1.972
1.552
1.744
2.052
1.907
1.939
2.207
1.676
2.232
2.223
1.954
1.793
1.645
2.208
σV −I
0.014
0.016
0.016
0.016
0.014
0.014
0.016
0.017
0.015
0.014
0.016
0.015
0.013
0.016
0.014
0.017
0.016
0.017
0.02
0.016
0.02
0.016
0.015
0.014
0.014
0.019
0.016
0.015
0.016
0.013
0.015
0.016
0.017
0.02
0.015
0.02
0.018
0.016
0.016
0.017
0.017
0.016
0.02
0.015
0.018
0.018
0.02
0.016
0.016
99.999
0.017
0.016
0.017
0.016
0.015
0.02
0.019
0.018
0.021
0.018
0.017
0.018
0.018
0.016
0.021
0.017
406
AKKAYA ET AL.
© Copyright 2010: Instituto de Astronomía, Universidad Nacional Autónoma de México
TABLE 4 (CONTINUED)
X
Y
V
σV
784.2
86
559.1
621.8
89.1
565.2
770
936
64.9
561.6
339.2
29.4
639.4
942.9
660
538.7
534
104.2
702.1
634.1
18.8
301.3
154.6
180.2
384.4
367.9
321.6
617
396.5
243.6
708.6
424.6
253.4
112.5
389.1
298.2
423.5
922.1
361
111
398.2
405.6
363.4
472.3
508.4
532.6
440.5
320.9
986.6
450
316.1
372.5
783.9
829.5
705.8
464.5
813.9
19.2
512.9
222.8
600.4
540.9
636.8
21.3
889.9
21.5
128.7
981.2
342.8
401.8
656.5
744.2
383.1
416.7
663.2
865.9
141.5
688.4
780.1
270
510.9
10.3
206.9
768.2
852.9
309.7
612.5
286.2
58.7
599.2
351.1
577.9
180.6
889.7
755.3
499.2
913
215.9
805.6
255.6
792.5
225.2
27.7
394.6
686.7
342.2
318.1
308
868
304.8
17.4
313.5
448.8
42.3
232.2
290
846.9
958.6
820.6
860.4
462.1
233.2
651.7
121.5
118.8
499.6
429
912.4
506.6
444.2
539.7
597.5
18.022
18.029
18.031
18.038
18.039
18.053
18.055
18.057
18.068
18.07
18.074
18.1
18.101
18.101
18.104
18.109
18.114
18.117
18.118
18.123
18.126
18.13
18.143
18.148
18.155
18.17
18.174
18.182
18.187
18.188
18.197
18.198
18.204
18.207
18.211
18.214
18.215
18.22
18.225
18.225
18.237
18.237
18.238
18.245
18.246
18.246
18.253
18.257
18.258
18.265
18.267
18.267
18.271
18.278
18.284
18.285
18.287
18.293
18.315
18.32
18.32
18.325
18.335
18.338
18.343
18.346
0.015
0.016
0.016
0.017
0.022
0.017
0.022
0.015
0.017
0.016
0.017
0.019
0.019
0.018
0.023
0.017
0.019
0.023
0.018
0.018
0.018
0.018
0.018
0.018
0.02
0.019
0.02
0.018
0.018
0.017
0.02
0.022
0.02
0.022
0.017
0.021
0.021
0.022
0.022
0.019
0.019
0.017
0.02
0.019
0.019
0.02
0.021
0.019
0.019
0.021
0.023
0.02
0.016
0.024
0.02
0.023
0.016
0.019
0.021
0.021
0.02
0.019
0.019
0.021
0.02
0.022
(B − V )
σB−V
(U − B)
σU −B
(V − R)
σV −R
(V − I)
σV −I
2.148
1.98
1.299
1.493
99.999
1.386
1.488
1.618
1.828
1.428
1.326
99.999
2.005
1.596
1.76
1.532
1.979
99.999
1.589
1.809
1.946
99.999
1.457
1.716
1.228
1.586
1.019
1.43
99.999
1.309
1.445
1.574
0.938
1.442
1.574
1.365
99.999
1.356
99.999
1.185
1.697
1.904
1.409
1.863
1.405
1.317
1.903
1.64
1.978
1.365
99.999
1.298
1.419
1.401
1.89
1.72
1.365
1.905
1.412
1.965
1.612
1.841
1.504
1.371
1.877
1.346
0.088
0.088
0.06
0.064
99.999
0.057
0.072
0.061
0.09
0.06
0.058
99.999
0.086
0.071
0.09
0.074
0.087
99.999
0.074
0.081
0.082
99.999
0.065
0.076
0.061
0.071
0.054
0.065
99.999
0.065
0.066
0.076
0.049
0.067
0.071
0.073
99.999
0.078
99.999
0.062
0.089
0.102
0.074
0.099
0.064
0.069
0.098
0.078
0.104
0.064
99.999
0.069
0.073
0.077
0.088
0.107
0.068
0.102
0.071
0.102
0.087
0.106
0.075
0.066
0.088
0.072
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
1.192
1.055
0.839
0.887
0.807
0.855
0.853
0.909
1.04
0.836
0.741
1.057
1.115
0.899
1.015
0.813
1.072
0.851
0.917
0.98
1.028
0.833
0.845
0.924
0.854
0.804
0.532
0.894
1.183
0.848
0.877
0.844
0.491
0.795
0.838
0.802
1.157
0.835
1.07
0.773
1.03
1.024
0.799
1.07
0.88
0.785
1.11
0.884
0.952
0.834
0.861
0.757
0.872
0.818
1.043
0.866
0.826
1.126
0.875
1.152
1.006
0.941
0.853
0.874
1.076
0.774
0.02
0.021
0.022
0.022
0.031
0.022
0.031
0.02
0.022
0.021
0.023
0.024
0.024
0.024
0.03
0.022
0.024
0.031
0.024
0.023
0.023
0.025
0.023
0.022
0.028
0.024
0.026
0.023
0.023
0.022
0.027
0.029
0.027
0.029
0.024
0.027
0.027
0.031
0.028
0.025
0.025
0.022
0.027
0.025
0.024
0.025
0.027
0.024
0.025
0.028
0.032
0.025
0.022
0.034
0.025
0.031
0.023
0.026
0.026
0.027
0.025
0.025
0.025
0.028
0.026
0.028
2.261
2.044
1.645
1.685
1.608
1.639
1.702
1.789
2.018
1.62
1.488
2.019
2.153
1.693
99.999
1.646
2.005
99.999
1.785
1.95
2.036
1.548
1.665
1.912
1.574
1.66
1.198
1.689
2.231
1.596
1.683
1.611
1.119
1.616
1.67
1.571
2.236
1.643
1.994
1.57
2.009
1.998
1.622
2.073
1.716
1.582
2.102
1.748
1.912
1.655
1.686
1.512
1.663
1.638
2.021
1.69
1.684
2.129
1.69
2.143
1.89
1.843
1.648
1.735
2.048
1.577
0.015
0.017
0.019
0.019
0.028
0.019
0.026
0.017
0.018
0.018
0.02
0.02
0.019
0.02
99.999
0.019
0.02
99.999
0.02
0.019
0.019
0.02
0.019
0.019
0.024
0.021
0.024
0.02
0.019
0.02
0.024
0.036
0.023
0.024
0.022
0.025
0.022
0.028
0.024
0.021
0.022
0.019
0.024
0.02
0.02
0.021
0.023
0.021
0.02
0.023
0.029
0.022
0.018
0.029
0.021
0.027
0.018
0.021
0.023
0.023
0.021
0.021
0.022
0.024
0.022
0.025
UBVRI PHOTOMETRY OF OPEN CLUSTERS
407
© Copyright 2010: Instituto de Astronomía, Universidad Nacional Autónoma de México
TABLE 4 (CONTINUED)
X
Y
V
σV
639.9
122.9
127.3
540.9
978.6
659
104
770.3
899.1
180.3
345
980.7
406.1
303.4
515.2
396.6
823.8
432.4
52
215.9
375.3
260
267.9
154.6
206.2
221.3
814.4
785.2
376.4
60.1
173.3
757.7
130.9
508.9
14.3
839.1
143.1
777.5
980.3
667.4
262.9
484.1
367.6
823
303.9
516.4
799.6
855.3
197.1
403.5
818.2
704.8
28.5
165.3
22.7
185.4
621.6
330.4
315.5
53.7
439.8
5.5
980.2
680.5
541.5
512.2
912.8
438.9
48.8
740.8
104
782.1
207.9
966.7
688.8
472.9
502.8
395.9
164.1
159.3
91.2
620.2
537.1
593.6
700.1
235.4
600.2
848.6
915.8
810.4
388.7
943.6
882.2
358.9
573
85.2
748.6
317
109.1
918.3
826.2
774.3
282.5
523.5
451
220.8
39.2
551
877.7
324.7
589.4
894.4
652.7
665
930
623.1
83.4
960.7
126.4
308.2
787.2
44.3
79.5
36.6
662.9
504.4
228.9
523.6
401.1
293.2
879.7
846.2
18.351
18.356
18.363
18.372
18.374
18.377
18.382
18.389
18.391
18.395
18.395
18.404
18.405
18.409
18.409
18.411
18.411
18.415
18.424
18.429
18.433
18.439
18.443
18.445
18.451
18.458
18.472
18.485
18.486
18.488
18.492
18.494
18.496
18.501
18.505
18.515
18.52
18.521
18.522
18.526
18.527
18.53
18.541
18.549
18.551
18.557
18.561
18.564
18.566
18.566
18.57
18.576
18.578
18.585
18.589
18.598
18.607
18.61
18.627
18.634
18.634
18.636
18.638
18.643
18.646
18.648
0.02
0.019
0.021
0.021
0.02
0.019
0.023
0.021
0.02
0.021
0.022
0.024
0.021
0.023
0.022
0.021
0.021
0.021
0.024
0.021
0.022
0.022
0.022
0.022
0.02
0.024
0.031
0.023
0.025
0.026
0.024
0.023
0.023
0.023
0.02
0.028
0.025
0.023
0.021
0.023
0.025
0.021
0.025
0.022
0.023
0.024
0.023
0.025
0.023
0.025
0.025
0.022
0.027
0.027
0.024
0.026
0.028
0.026
0.024
0.027
0.023
0.023
0.033
0.024
0.027
0.026
(B − V )
σB−V
(U − B)
σU −B
(V − R)
σV −R
(V − I)
σV −I
99.999
2.021
1.369
1.293
1.343
1.354
1.993
1.532
1.712
1.473
1.844
99.999
1.656
1.512
1.413
1.497
1.484
1.636
1.852
99.999
1.477
1.408
1.594
1.359
1.383
2.053
99.999
99.999
1.586
1.612
99.999
1.46
1.187
1.763
1.176
1.266
1.335
1.276
1.768
1.723
1.252
99.999
1.708
1.38
1.505
99.999
1.459
1.465
99.999
1.69
1.54
1.553
99.999
1.856
1.583
1.487
1.828
1.31
1.479
99.999
1.46
1.511
99.999
1.658
99.999
99.999
99.999
0.128
0.075
0.079
0.078
0.066
0.102
0.085
0.09
0.081
0.108
99.999
0.103
0.083
0.091
0.084
0.088
0.095
0.122
99.999
0.081
0.083
0.093
0.083
0.081
0.139
99.999
99.999
0.094
0.107
99.999
0.088
0.075
0.114
0.071
0.076
0.09
0.076
0.124
0.102
0.075
99.999
0.118
0.079
0.087
99.999
0.089
0.102
99.999
0.105
0.098
0.083
99.999
0.136
0.122
0.102
0.145
0.092
0.098
99.999
0.084
0.105
99.999
0.116
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
1.076
1
0.876
0.876
0.858
0.858
1.042
0.95
0.834
0.985
0.988
1.021
0.986
0.835
0.943
0.958
0.87
0.937
1.044
1.16
0.993
0.955
1.07
0.827
0.923
1.143
0.913
1.052
1.068
0.917
1.101
0.794
0.861
0.975
0.799
0.899
0.843
0.872
0.952
1.005
0.896
0.968
0.853
0.899
0.856
0.88
0.834
0.853
1.085
1.072
0.942
0.872
1.05
1.183
0.921
0.992
1.004
0.876
0.808
0.998
0.796
0.871
1.007
0.973
0.996
1.068
0.026
0.025
0.028
0.028
0.027
0.026
0.029
0.026
0.028
0.029
0.03
0.031
0.027
0.029
0.028
0.027
0.027
0.027
0.032
0.027
0.028
0.028
0.029
0.029
0.025
0.03
0.041
0.029
0.031
0.033
0.03
0.03
0.03
0.029
0.027
0.036
0.035
0.03
0.027
0.031
0.033
0.028
0.035
0.029
0.03
0.031
0.031
0.032
0.03
0.032
0.033
0.028
0.034
0.035
0.032
0.033
0.035
0.035
0.032
0.034
0.032
0.03
0.044
0.033
0.035
0.033
2.029
2.035
1.682
1.654
1.618
1.646
2.059
1.793
1.676
1.814
1.964
1.913
1.937
1.619
1.806
1.759
1.662
1.814
2.025
2.277
1.941
1.775
2.051
1.625
1.776
2.151
1.728
2.032
2.026
1.739
2.03
1.602
1.633
1.954
1.56
1.744
1.668
1.668
1.888
1.975
1.68
1.913
1.63
1.813
1.702
1.712
1.653
1.697
2.083
2.093
1.782
1.689
2.069
2.167
1.721
1.901
2.002
1.657
1.629
1.951
1.656
1.685
1.948
1.796
2.026
2.021
0.022
0.02
0.024
0.025
0.024
0.021
0.024
0.022
0.024
0.025
0.024
0.026
0.023
0.025
0.025
0.023
0.024
0.023
0.026
0.022
0.023
0.025
0.024
0.025
0.022
0.025
0.034
0.025
0.026
0.028
0.026
0.025
0.025
0.024
0.023
0.032
0.03
0.026
0.023
0.025
0.028
0.023
0.031
0.024
0.026
0.026
0.026
0.027
0.025
0.026
0.031
0.025
0.029
0.029
0.028
0.028
0.03
0.031
0.028
0.028
0.03
0.026
0.038
0.028
0.029
0.028
408
AKKAYA ET AL.
© Copyright 2010: Instituto de Astronomía, Universidad Nacional Autónoma de México
TABLE 4 (CONTINUED)
X
Y
V
σV
843.5
551.7
563.2
153.6
677.8
673.5
447
171.2
111.4
897.7
438.2
728.5
526.3
493.5
971.6
953.2
956.6
573.8
335.5
668.1
708.8
885.7
406.5
481.8
616
62.7
727.2
231.5
891.7
407.4
228.8
453.3
388
630
195.9
204.1
323.9
698.5
121.7
603.2
414.9
624.4
674.2
809.2
111.2
641.6
706.7
162.7
33
786.1
426.4
439.5
71.7
567.8
709.3
20.2
207.7
488.5
386.1
961.5
254.6
879
13.3
295
849.6
168.7
66.1
960.8
503.2
563.6
429.4
800
635.2
179.8
715.1
829.8
606
738.8
242.4
172.3
311.4
469.3
93.3
722.6
821.2
847.1
372.7
830.7
489
464.8
294.4
607.4
225.2
800.9
47.4
719.7
163.8
952.2
228.9
728.3
842.3
638.4
106.6
703.8
623.8
270.6
714.9
101.3
204.7
752.9
882.9
926.8
788.2
433.5
905.9
2.5
625.7
710.4
287.8
948.9
427.2
423.8
655.7
348.6
88.4
305.3
839.7
274.3
125.9
239.5
504.2
806.8
18.651
18.656
18.666
18.674
18.675
18.676
18.68
18.682
18.688
18.689
18.694
18.694
18.7
18.71
18.713
18.715
18.717
18.722
18.725
18.727
18.727
18.738
18.739
18.74
18.741
18.742
18.743
18.756
18.758
18.76
18.763
18.765
18.767
18.768
18.772
18.775
18.778
18.779
18.781
18.783
18.79
18.791
18.791
18.803
18.81
18.827
18.834
18.835
18.841
18.847
18.849
18.849
18.849
18.855
18.855
18.862
18.873
18.873
18.885
18.901
18.904
18.904
18.904
18.906
18.906
18.917
0.025
0.026
0.026
0.03
0.026
0.025
0.023
0.027
0.025
0.028
0.022
0.023
0.032
0.03
0.023
0.023
0.025
0.027
0.028
0.024
0.03
0.026
0.028
0.026
0.031
0.026
0.028
0.025
0.031
0.024
0.028
0.03
0.03
0.026
0.031
0.028
0.028
0.029
0.027
0.028
0.028
0.028
0.029
0.026
0.03
0.029
0.025
0.031
0.031
0.032
0.029
0.031
0.028
0.03
0.028
0.029
0.03
0.027
0.029
0.028
0.03
0.033
0.032
0.026
0.033
0.029
(B − V )
σB−V
(U − B)
σU −B
(V − R)
σV −R
(V − I)
σV −I
99.999
1.477
1.485
99.999
99.999
1.295
99.999
1.598
99.999
1.507
99.999
1.754
99.999
1.57
99.999
1.178
1.625
99.999
1.439
1.679
99.999
1.609
99.999
1.557
99.999
1.334
99.999
1.347
99.999
1.447
1.479
99.999
1.289
99.999
99.999
1.74
99.999
99.999
1.666
1.429
99.999
1.47
1.497
1.589
99.999
99.999
1.265
99.999
99.999
1.372
0.984
99.999
99.999
99.999
99.999
99.999
1.327
1.502
99.999
1.321
1.582
99.999
1.273
99.999
99.999
99.999
99.999
0.101
0.096
99.999
99.999
0.081
99.999
0.117
99.999
0.123
99.999
0.122
99.999
0.114
99.999
0.076
0.129
99.999
0.1
0.134
99.999
0.108
99.999
0.097
99.999
0.095
99.999
0.11
99.999
0.089
0.116
99.999
0.093
99.999
99.999
0.146
99.999
99.999
0.128
0.095
99.999
0.135
0.108
0.117
99.999
99.999
0.101
99.999
99.999
0.131
0.09
99.999
99.999
99.999
99.999
99.999
0.096
0.116
99.999
0.11
0.133
99.999
0.126
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
1.124
0.911
0.844
0.914
1.028
0.854
1.093
0.988
1.106
0.825
1.154
0.985
0.879
1.146
1.165
0.831
1.071
1.178
0.748
0.917
1.073
1.009
1.123
0.899
1.123
0.781
0.975
0.956
1.105
0.872
1.011
0.998
0.883
1.048
1.055
0.999
0.803
1.076
0.991
0.896
1.095
1.07
0.918
0.921
0.981
1.019
0.813
0.866
1.079
0.977
0.704
0.84
0.971
0.93
1.011
0.888
0.859
0.87
0.988
0.772
1.062
0.866
0.88
1.079
0.955
1.066
0.032
0.035
0.032
0.041
0.033
0.032
0.029
0.035
0.032
0.035
0.029
0.029
0.041
0.039
0.029
0.03
0.032
0.035
0.036
0.032
0.038
0.035
0.036
0.033
0.039
0.033
0.036
0.034
0.04
0.033
0.036
0.037
0.04
0.033
0.043
0.037
0.036
0.038
0.036
0.036
0.037
0.036
0.039
0.036
0.038
0.036
0.034
0.042
0.039
0.04
0.038
0.041
0.037
0.038
0.037
0.038
0.04
0.036
0.039
0.036
0.04
0.042
0.04
0.035
0.041
0.039
2.155
1.761
1.699
1.751
1.99
1.717
1.996
1.847
2.015
1.728
2.162
1.828
1.758
2.108
2.188
1.629
2.083
2.152
1.537
1.763
2.178
1.961
2.148
1.728
2.12
1.621
1.983
1.771
2.104
1.685
1.865
1.977
1.665
2.059
1.995
1.905
1.586
2.062
1.895
1.646
2.058
2.058
1.723
1.763
1.802
1.981
1.643
1.667
2.028
1.836
1.467
1.577
1.853
1.76
1.898
1.73
1.688
1.696
1.954
1.62
2.02
1.709
1.704
2.038
1.862
2.091
0.028
0.03
0.028
0.034
0.028
0.027
0.026
0.03
0.027
0.031
0.024
0.025
0.035
0.032
0.025
0.026
0.027
0.029
0.031
0.027
0.031
0.028
0.031
0.029
0.033
0.029
0.03
0.028
0.033
0.027
0.031
0.032
0.036
0.027
0.035
0.031
0.03
0.031
0.03
0.032
0.031
0.03
0.032
0.03
0.033
0.031
0.028
0.037
0.033
0.035
0.033
0.038
0.031
0.033
0.031
0.033
0.033
0.031
0.032
0.031
0.033
0.037
0.036
0.029
0.035
0.031
UBVRI PHOTOMETRY OF OPEN CLUSTERS
409
© Copyright 2010: Instituto de Astronomía, Universidad Nacional Autónoma de México
TABLE 4 (CONTINUED)
X
Y
V
σV
832.4
446.1
37.5
808.3
591.6
890.1
256.4
599.7
529.8
467.2
534.2
970.9
3.7
349.1
557.9
186.3
586.5
785.8
444.9
59.1
364.8
401.7
534.8
986.6
488.6
514.2
175.8
841.3
247.6
850.1
263.3
138.2
141.4
214.2
69.6
420.3
915.2
410.9
316.2
403.4
593.6
676.9
285.4
286.7
233.6
512.6
242.3
926
722.6
34.2
651
836.3
43.8
73.1
983.4
494.7
320.2
325.6
161.5
449.4
880.9
336.7
928.6
76.9
34.9
943.4
227.2
669.5
479.3
302.7
730.9
733.4
755
249.7
978.5
562.9
423
901.3
773.8
285.4
39.3
279
607.7
525.9
392.6
848.2
400.4
374.8
32.3
77.2
556.3
836.6
646.1
28.8
412.4
365.6
603.1
688.8
365.1
363.3
857.8
632.8
778.7
352.7
29.8
251.8
279.8
240.2
736.2
960
276.2
742.4
279.1
569.8
206.6
928.4
25.9
636.9
36.4
861.1
742.3
53.5
656.5
344
370.8
759.5
593.5
768.1
885.5
119.6
210.5
779.2
18.917
18.919
18.92
18.92
18.926
18.932
18.938
18.946
18.95
18.951
18.951
18.952
18.959
18.961
18.965
18.969
18.973
18.98
18.982
18.984
18.995
18.997
18.997
19.001
19.008
19.015
19.019
19.019
19.02
19.028
19.031
19.037
19.039
19.043
19.043
19.044
19.044
19.045
19.048
19.05
19.05
19.056
19.057
19.057
19.058
19.062
19.069
19.069
19.077
19.084
19.084
19.084
19.085
19.085
19.085
19.09
19.098
19.101
19.103
19.105
19.107
19.118
19.121
19.133
19.139
19.14
0.034
0.031
0.033
0.032
0.034
0.035
0.029
0.033
0.032
0.034
0.031
0.031
0.031
0.03
0.037
0.035
0.034
0.029
0.033
0.034
0.032
0.029
0.033
0.033
0.034
0.041
0.033
0.04
0.031
0.029
0.047
0.036
0.033
0.036
0.037
0.03
0.034
0.036
0.04
0.035
0.035
0.033
0.037
0.033
0.035
0.035
0.042
0.032
0.034
0.041
0.032
0.04
0.037
0.041
0.037
0.037
0.036
0.037
0.038
0.036
0.034
0.034
0.038
0.039
0.034
0.04
(B − V )
σB−V
(U − B)
σU −B
(V − R)
σV −R
(V − I)
99.999
99.999
99.999
99.999
99.999
1.506
1.337
1.331
1.47
99.999
99.999
99.999
99.999
99.999
99.999
99.999
1.471
99.999
99.999
1.293
99.999
99.999
99.999
99.999
99.999
99.999
1.58
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
1.435
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
0.149
0.141
0.104
0.124
99.999
99.999
99.999
99.999
99.999
99.999
99.999
0.151
99.999
99.999
0.142
99.999
99.999
99.999
99.999
99.999
99.999
0.158
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
0.172
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
1.13
1.101
0.871
0.826
0.971
0.821
0.834
0.883
0.912
0.946
0.821
0.999
0.989
0.868
1.045
1.031
0.898
1.059
1.231
0.887
1.143
0.923
1.202
0.964
1.172
0.704
0.873
1.047
0.922
0.935
1.062
0.994
0.921
1.058
0.992
1.027
0.74
0.869
1.112
1.015
0.966
0.983
0.863
0.966
1.032
0.921
0.719
1.189
1.005
1.018
0.944
0.974
0.971
1.031
0.861
0.966
0.885
0.959
0.94
1.045
0.996
0.849
1.093
1.02
1.047
0.876
0.043
0.041
0.042
0.042
0.044
0.045
0.039
0.042
0.042
0.043
0.04
0.039
0.04
0.038
0.046
0.045
0.044
0.038
0.043
0.044
0.041
0.04
0.043
0.043
0.044
0.053
0.043
0.056
0.039
0.039
0.062
0.046
0.044
0.047
0.047
0.039
0.045
0.046
0.05
0.045
0.046
0.043
0.048
0.041
0.047
0.044
0.057
0.041
0.044
0.055
0.042
0.05
0.049
0.053
0.048
0.047
0.047
0.048
0.05
0.047
0.045
0.045
0.049
0.049
0.044
0.053
2.156
1.936
1.787
1.61
1.788
1.69
1.652
1.747
1.734
1.884
1.681
1.955
1.947
1.734
1.992
1.951
1.765
1.987
2.186
1.723
2.128
1.765
2.196
1.821
2.098
1.486
1.701
1.925
1.768
1.816
2.053
1.891
1.784
2.001
1.921
1.861
1.495
1.784
2.124
1.91
1.784
1.85
1.815
1.86
2.015
1.742
1.553
2.15
2.004
2.027
1.788
1.909
1.842
2.106
1.718
1.921
1.73
1.798
1.783
1.886
1.839
1.713
99.999
1.982
2.03
1.764
σV −I
0.037
0.035
0.037
0.036
0.038
0.038
0.035
0.036
0.036
0.037
0.035
0.034
0.033
0.034
0.04
0.038
0.038
0.031
0.036
0.038
0.034
0.034
0.035
0.036
0.036
0.046
0.036
0.043
0.036
0.032
0.051
0.039
0.037
0.04
0.04
0.034
0.04
0.039
0.043
0.039
0.039
0.036
0.039
0.036
0.038
0.038
0.048
0.034
0.037
0.045
0.036
0.042
0.041
0.044
0.041
0.04
0.041
0.042
0.042
0.04
0.037
0.039
99.999
0.041
0.036
0.044
410
AKKAYA ET AL.
© Copyright 2010: Instituto de Astronomía, Universidad Nacional Autónoma de México
TABLE 4 (CONTINUED)
X
Y
V
σV
531.2
573.9
167.8
742.1
131.4
254.2
325.1
123.8
712
138.6
308
413.7
694.2
791.7
92.9
746.4
806.8
188.5
342.8
150
431.9
79.9
74.2
195.8
313.9
122.9
447.3
786.7
49.7
462.2
816.8
335.6
529.1
127.2
373.5
545.3
869.2
946
817.1
433
169
627.9
407.8
190.4
521.2
955.9
308
811.5
662.4
567.6
275.9
320.2
547.3
583.3
869.8
257.1
696.3
561.9
837.7
440
714.5
856.5
965.3
429
616.2
105.3
900.2
235.7
394.8
70.2
559.3
283.7
500.9
717.4
860.4
125.4
749.5
652.5
164.3
876.4
368.4
31.5
851.7
851.8
414.4
833.7
777.5
764.1
879
326.2
624.6
640
274.1
978.3
856
742.5
116.7
798.7
938.4
668.9
717.6
746.5
36.7
704.9
251.3
989.5
221.6
410.5
195.7
612.7
511.6
461.1
175.1
848.3
949.2
126
620.7
922.2
323.5
393.4
64.6
148.2
493.3
187.3
366.4
614.4
256.1
310.3
600.1
162.8
504.1
984.4
19.146
19.152
19.153
19.154
19.156
19.161
19.161
19.167
19.169
19.172
19.173
19.178
19.179
19.18
19.187
19.19
19.194
19.204
19.206
19.214
19.214
19.219
19.22
19.222
19.225
19.227
19.228
19.229
19.233
19.233
19.234
19.239
19.25
19.25
19.256
19.258
19.258
19.259
19.265
19.266
19.272
19.272
19.274
19.275
19.276
19.277
19.282
19.285
19.289
19.29
19.292
19.292
19.294
19.294
19.299
19.304
19.304
19.308
19.308
19.309
19.319
19.32
19.323
19.324
19.327
19.328
0.035
0.039
0.043
0.035
0.039
0.047
0.042
0.035
0.036
0.035
0.039
0.04
0.034
0.036
0.034
0.039
0.04
0.041
0.038
0.046
0.034
0.033
0.036
0.044
0.042
0.04
0.038
0.037
0.043
0.042
0.043
0.035
0.034
0.035
0.043
0.036
0.045
0.042
0.044
0.046
0.04
0.045
0.039
0.041
0.039
0.043
0.036
0.038
0.036
0.041
0.04
0.046
0.038
0.05
0.046
0.043
0.041
0.038
0.041
0.042
0.043
0.045
0.042
0.043
0.042
0.044
(B − V )
σB−V
(U − B)
σU −B
(V − R)
σV −R
(V − I)
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
0.933
0.957
0.721
1.082
0.93
0.986
0.853
1.078
0.955
0.916
0.839
0.776
1.148
0.943
0.936
1.141
0.904
0.953
0.949
0.971
1.122
0.775
1.032
0.993
0.988
0.908
1.149
0.881
0.823
1.042
0.919
0.881
0.839
0.869
0.904
0.985
0.746
0.913
1.169
0.883
1.081
1.076
0.969
0.979
1.096
0.787
0.964
1.021
0.951
1.019
0.962
0.852
0.912
0.741
0.953
0.924
0.87
0.714
0.975
0.908
0.926
0.938
0.918
0.993
1.033
0.877
0.046
0.049
0.056
0.044
0.05
0.06
0.058
0.045
0.046
0.045
0.05
0.052
0.044
0.049
0.045
0.049
0.052
0.053
0.048
0.059
0.046
0.047
0.046
0.058
0.053
0.054
0.053
0.048
0.056
0.053
0.057
0.047
0.046
0.046
0.056
0.048
0.057
0.053
0.056
0.059
0.051
0.058
0.053
0.054
0.049
0.055
0.046
0.049
0.048
0.055
0.052
0.061
0.05
0.062
0.059
0.054
0.054
0.051
0.055
0.055
0.056
0.058
0.054
0.057
0.053
0.057
1.736
1.839
1.646
2.094
1.817
1.986
1.738
2.006
1.834
1.796
1.674
1.618
2.102
1.83
1.797
2.147
1.744
1.758
1.786
1.846
2.029
1.618
2.034
1.984
1.887
1.713
2.101
1.723
1.624
2.05
1.797
1.678
1.695
1.749
1.726
1.863
1.591
1.826
2.164
1.641
2
2.036
99.999
1.796
2.113
1.58
1.81
1.972
1.808
1.891
1.768
1.663
1.726
1.518
1.822
1.754
1.695
1.496
1.77
1.891
1.76
1.788
1.789
1.875
2.053
1.755
σV −I
0.04
0.042
0.047
0.038
0.043
0.051
0.046
0.038
0.04
0.038
0.045
0.045
0.037
0.041
0.039
0.042
0.044
0.045
0.042
0.051
0.038
0.039
0.038
0.047
0.046
0.047
0.043
0.042
0.048
0.045
0.049
0.042
0.038
0.039
0.047
0.041
0.049
0.045
0.047
0.052
0.045
0.048
99.999
0.046
0.042
0.049
0.043
0.041
0.041
0.045
0.045
0.053
0.042
0.056
0.051
0.048
0.047
0.047
0.047
0.045
0.049
0.049
0.046
0.05
0.045
0.048
UBVRI PHOTOMETRY OF OPEN CLUSTERS
411
© Copyright 2010: Instituto de Astronomía, Universidad Nacional Autónoma de México
TABLE 4 (CONTINUED)
X
Y
V
σV
522
854.9
91.4
80.9
609.4
535.1
142
234.7
576.9
265.2
484.4
863
952.6
423.5
875.3
725
101.1
458.5
209.6
22
740.2
213.7
804
581.8
771.5
636.8
878.9
471.6
691.4
351.3
691.6
418.6
674.6
283.6
876.5
489.4
821.5
844.3
924
823.5
457.9
673
783.8
254.4
586.7
317.8
436.8
604.8
693.5
818.4
891.9
648.6
355.5
198.1
6.3
970.5
561.3
461.6
700.3
277.2
107.9
868.5
162.4
216.5
588.3
485.5
825.8
956.3
319.3
819.9
303.9
329.2
157.2
697.3
548.7
901.1
851.3
798.4
283
221.9
527.4
383.6
109.3
264.4
859.9
191.8
583.8
176.1
958.7
575.3
105.9
551.3
86.3
39.2
295.5
551.2
260.6
797.3
861.3
326.6
381.7
954.1
201.3
771
43.5
190.9
304.7
123.3
80.5
396.2
798.9
648.7
981.3
709.5
953.8
496.8
457
812
988.2
413.6
591.5
498.7
532.2
339.1
262.3
208.1
142.1
871.5
718.3
495.2
340.1
581.3
19.33
19.331
19.332
19.334
19.34
19.344
19.352
19.352
19.352
19.355
19.362
19.367
19.369
19.371
19.374
19.375
19.381
19.382
19.385
19.386
19.388
19.389
19.393
19.397
19.398
19.402
19.402
19.408
19.41
19.415
19.417
19.418
19.418
19.42
19.428
19.429
19.433
19.434
19.435
19.436
19.44
19.441
19.444
19.445
19.445
19.446
19.447
19.447
19.447
19.448
19.448
19.451
19.452
19.453
19.453
19.454
19.457
19.459
19.461
19.464
19.474
19.477
19.479
19.48
19.48
19.482
0.047
0.043
0.046
0.046
0.041
0.039
0.041
0.045
0.042
0.045
0.041
0.046
0.041
0.048
0.042
0.038
0.049
0.041
0.043
0.049
0.042
0.045
0.042
0.039
0.043
0.048
0.045
0.043
0.052
0.043
0.054
0.043
0.049
0.05
0.048
0.042
0.052
0.042
0.043
0.049
0.044
0.048
0.044
0.056
0.054
0.05
0.046
0.044
0.044
0.046
0.052
0.043
0.046
0.05
0.041
0.049
0.039
0.051
0.048
0.05
0.048
0.047
0.06
0.049
0.05
0.048
(B − V )
σB−V
(U − B)
σU −B
(V − R)
σV −R
(V − I)
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
1.049
0.987
0.94
0.839
1.101
0.957
0.979
1.004
0.927
0.972
1.076
1.187
0.885
0.875
0.978
0.86
0.784
0.99
0.859
0.883
0.915
1.037
1.018
1.01
0.902
0.997
1.071
0.824
0.991
0.898
0.992
1.03
0.969
0.97
0.907
0.917
0.957
0.848
1.099
0.868
1.021
0.844
0.974
1.024
0.874
1.044
0.83
1.068
0.881
0.965
0.843
0.995
0.751
0.904
0.862
0.868
0.955
0.956
0.958
0.933
0.833
0.815
0.951
1.033
0.96
0.896
0.06
0.055
0.059
0.058
0.055
0.052
0.055
0.056
0.055
0.059
0.052
0.059
0.053
0.064
0.054
0.051
0.066
0.054
0.055
0.063
0.056
0.058
0.053
0.052
0.057
0.061
0.06
0.058
0.066
0.057
0.068
0.056
0.062
0.063
0.062
0.055
0.068
0.056
0.057
0.067
0.06
0.062
0.058
0.071
0.07
0.064
0.059
0.057
0.058
0.058
0.066
0.056
0.059
0.068
0.055
0.064
0.052
0.069
0.061
0.063
0.061
0.061
0.079
0.066
0.064
0.063
1.921
1.853
1.942
1.667
2.041
1.934
1.869
1.963
1.784
1.942
2.053
2.081
1.827
1.673
1.745
1.695
1.49
1.942
1.651
1.815
1.752
1.973
1.744
1.891
1.716
1.819
2.068
1.693
1.879
1.819
1.836
2.015
1.889
1.946
1.724
1.69
1.826
1.764
2.106
1.654
1.885
1.715
1.951
2.03
1.746
2.039
1.718
2.055
1.648
1.907
1.699
2.095
1.502
1.767
1.805
1.694
1.828
1.788
1.9
1.714
1.788
1.739
1.847
99.999
1.785
1.758
σV −I
0.051
0.046
0.049
0.051
0.044
0.043
0.046
0.049
0.046
0.049
0.045
0.05
0.046
0.062
0.048
0.044
0.061
0.046
0.048
0.053
0.048
0.049
0.048
0.042
0.049
0.053
0.05
0.046
0.058
0.049
0.059
0.046
0.053
0.053
0.053
0.049
0.058
0.047
0.047
0.058
0.049
0.053
0.048
0.06
0.061
0.054
0.05
0.048
0.05
0.05
0.057
0.049
0.053
0.057
0.045
0.054
0.044
0.06
0.053
0.056
0.053
0.052
0.067
99.999
0.055
0.054
412
AKKAYA ET AL.
© Copyright 2010: Instituto de Astronomía, Universidad Nacional Autónoma de México
TABLE 4 (CONTINUED)
X
Y
V
σV
733.2
188.1
241.6
336.6
123.8
271.4
272.9
479.4
40.7
521.9
445.2
404.4
706.5
479.3
274.8
681.5
42.7
743.6
364.5
801.8
147
699.5
770.9
12.4
102.6
255.3
288.1
781.3
512.4
536
608.4
236.3
963.2
353.3
415.2
421.8
337.1
942.6
357.5
305.1
124.5
634.3
305.6
758
302.2
614
98.1
382.1
489.2
552
382.4
897
666.9
958.8
46.7
696.3
68.7
796.6
334.2
675.3
811.8
677.6
573.2
797.7
767.1
835.3
569.2
485.6
688.4
377.8
395.6
932.5
244.8
657.8
360.4
412.5
721.5
737.3
866.7
422.6
72.2
622.5
624.1
552.8
247.1
438.3
841.7
777.6
417.9
771.4
673.6
237.2
883.8
764
975.4
781.1
384.8
576.3
622.5
783.6
735.8
291
394.4
810.2
975.8
429.6
192.3
741.7
710.2
974.2
372.2
807.5
941.8
613.9
571.6
258.5
519.8
668.3
355.7
933.4
698.1
679.1
19.6
61.9
19.483
19.49
19.49
19.492
19.493
19.496
19.5
19.501
19.506
19.513
19.519
19.523
19.524
19.532
19.533
19.533
19.535
19.54
19.545
19.545
19.547
19.55
19.551
19.555
19.557
19.559
19.56
19.561
19.564
19.568
19.568
19.572
19.582
19.586
19.59
19.593
19.596
19.599
19.6
19.604
19.61
19.613
19.616
19.62
19.629
19.637
19.646
19.675
19.681
19.683
19.693
19.707
19.711
19.72
19.735
19.737
19.746
19.796
19.804
19.819
19.819
19.857
0.054
0.044
0.072
0.046
0.048
0.05
0.049
0.055
0.046
0.043
0.05
0.054
0.045
0.055
0.051
0.056
0.054
0.046
0.05
0.054
0.048
0.059
0.048
0.048
0.05
0.047
0.044
0.052
0.058
0.062
0.065
0.054
0.054
0.056
0.049
0.054
0.046
0.055
0.058
0.05
0.061
0.059
0.057
0.056
0.052
0.061
0.055
0.05
0.064
0.052
0.059
0.054
0.065
0.068
0.067
0.069
0.06
0.073
0.056
0.063
0.06
0.066
(B − V )
σB−V
(U − B)
σU −B
(V − R)
σV −R
(V − I)
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
0.944
1.041
1.021
1.05
0.858
1.046
0.916
0.839
0.926
0.955
0.862
0.929
0.861
0.992
1.014
0.973
0.984
0.836
0.935
0.942
0.89
0.952
0.882
0.702
1.002
0.993
0.905
0.893
0.783
0.936
0.865
0.913
1.102
0.975
0.91
0.875
0.941
0.945
0.848
0.879
0.703
0.839
0.993
0.875
0.839
0.925
0.868
0.824
0.796
0.765
0.672
0.811
1.076
0.823
0.921
1.204
1.169
1.062
1.069
1.033
0.978
0.903
0.068
0.057
0.091
0.059
0.062
0.063
0.064
0.072
0.06
0.058
0.063
0.07
0.061
0.078
0.065
0.071
0.07
0.06
0.064
0.068
0.063
0.076
0.065
0.064
0.065
0.063
0.059
0.068
0.073
0.077
0.082
0.069
0.07
0.073
0.065
0.07
0.062
0.073
0.075
0.069
0.077
0.076
0.075
0.072
0.068
0.079
0.072
0.066
0.081
0.069
0.077
0.074
0.082
0.085
0.086
0.089
0.077
0.092
0.072
0.081
0.076
0.09
1.815
1.99
1.979
1.884
1.746
1.924
1.731
1.665
1.796
1.777
1.726
1.776
1.766
1.753
1.944
1.792
1.839
1.651
1.769
1.757
1.712
1.714
1.673
1.608
1.8
1.81
1.741
1.77
1.765
99.999
1.697
1.728
1.999
1.731
1.821
1.671
1.661
1.789
1.715
1.627
1.571
1.718
1.891
1.725
1.73
1.762
1.799
1.602
1.629
1.598
1.541
1.623
1.893
1.605
1.911
2.166
2.212
2.041
2.015
1.913
2.086
1.797
σV −I
0.058
0.048
0.077
0.051
0.055
0.054
0.055
0.061
0.051
0.048
0.056
0.061
0.05
0.063
0.055
0.063
0.059
0.054
0.055
0.059
0.054
0.064
0.055
0.053
0.056
0.054
0.052
0.057
0.062
99.999
0.071
0.06
0.059
0.064
0.055
0.062
0.056
0.06
0.064
0.058
0.068
0.065
0.064
0.064
0.061
0.068
0.06
0.06
0.07
0.059
0.066
0.064
0.071
0.078
0.072
0.075
0.064
0.079
0.062
0.07
0.064
0.072
UBVRI PHOTOMETRY OF OPEN CLUSTERS
© Copyright 2010: Instituto de Astronomía, Universidad Nacional Autónoma de México
TABLE 5
X
Y
V
σV
374.5
528.6
804.6
102.5
85.1
400.8
491.8
213.6
206.6
517.1
508.4
444.3
908.6
407.5
633.4
741.7
31.6
589.3
863.5
519.3
567.4
450.5
706.6
639.9
622.6
586.6
595.8
209.6
751.6
616.3
177.9
567.3
116.4
541.2
841
483.6
603.6
104.1
371.1
468.5
379.1
688.2
100.7
607.3
432.8
752.4
176.1
761.4
334.6
483.1
852.3
470.5
103.4
743.2
423.8
214.1
650.9
310.3
578.3
299.7
390
459.5
530.2
173.2
644.8
637.7
153.4
217.9
881.2
174.5
74.1
856.8
510.5
723.9
867.4
851.9
866.6
880.9
351.2
366.4
848
698.6
851.7
431.3
657.2
148.1
597.2
539.8
23.4
578.8
800.4
361.2
449.5
597
369
399.1
451.3
534.7
346
770.4
133
451.3
643.9
201.2
561.6
477
857.6
56.5
7.4
180.7
785.3
40.7
445.9
451.7
223.5
963.5
189.3
507.4
84.9
35.5
387.4
792.8
521.1
345.1
415.5
814.6
775.1
58.4
848.3
655
610.1
392.2
11.244
12.352
12.746
13.562
13.573
13.729
13.945
14.418
14.437
14.542
14.555
14.646
14.664
14.681
14.681
14.689
14.741
14.783
14.814
14.868
14.908
14.955
14.967
15.018
15.028
15.161
15.205
15.27
15.352
15.353
15.365
15.391
15.472
15.507
15.568
15.593
15.598
15.609
15.696
15.712
15.732
15.734
15.771
15.78
15.8
15.804
15.804
15.818
15.869
15.918
15.93
15.934
15.943
15.994
16.024
16.045
16.106
16.106
16.194
16.248
16.254
16.259
16.284
16.373
16.383
16.4
0.004
0.002
0.003
0.002
0.003
0.002
0.003
0.003
0.003
0.003
0.003
0.004
0.005
0.005
0.004
0.005
0.004
0.004
0.004
0.004
0.005
0.004
0.005
0.004
0.004
0.005
0.005
0.004
0.005
0.004
0.007
0.005
0.007
0.005
0.006
0.005
0.005
0.006
0.005
0.006
0.005
0.006
0.007
0.007
0.006
0.006
0.009
0.005
0.006
0.006
0.009
0.006
0.009
0.007
0.007
0.006
0.007
0.007
0.007
0.01
0.007
0.007
0.008
0.008
0.007
0.008
413
CCD UBVRI PHOTOMETRY OF BE 10
(B − V )
σB−V
(U − B)
σU −B
(V − R)
σV −R
(V − I)
σV −I
0.433
1.483
0.738
0.771
0.794
0.823
1.083
0.861
1.655
1.759
0.95
1.57
1.603
1.387
0.876
1.573
0.975
1.062
0.925
1.009
0.907
1.024
0.99
1.656
0.907
1.029
0.964
0.846
1.04
1.037
0.988
0.948
1.739
0.894
1.184
1.022
1.042
1.105
0.952
1.048
1.139
0.99
2.373
1.302
1.125
0.955
1.002
0.987
1.027
0.987
1.355
1.941
1.465
1.005
1.058
0.904
0.969
1.112
1.084
1.415
0.972
1.014
1.025
0.949
1.153
1.081
0.004
0.004
0.014
0.012
0.009
0.004
0.006
0.006
0.009
0.009
0.006
0.009
0.009
0.008
0.007
0.009
0.007
0.009
0.008
0.008
0.01
0.009
0.01
0.011
0.008
0.01
0.01
0.009
0.011
0.01
0.014
0.011
0.015
0.01
0.012
0.012
0.011
0.012
0.012
0.012
0.012
0.013
0.022
0.015
0.012
0.012
0.02
0.012
0.013
0.012
0.015
0.019
0.016
0.017
0.016
0.013
0.015
0.016
0.015
0.018
0.015
0.017
0.017
0.017
0.018
0.018
0.246
1.346
0.231
0.174
0.213
0.227
1.061
0.496
0.976
1.117
0.52
0.914
0.96
0.694
0.567
1.054
0.547
0.579
0.572
0.572
0.476
0.557
0.642
1.017
0.535
0.61
0.523
0.512
0.567
0.552
99.999
0.545
1.021
0.568
0.646
0.542
0.518
0.655
0.478
0.583
0.41
0.576
99.999
1.238
0.44
0.708
99.999
0.53
0.597
0.511
1.184
99.999
0.72
0.68
0.558
0.538
0.555
0.539
0.575
0.792
0.5
0.63
0.572
0.514
0.455
0.596
0.002
0.009
0.004
0.008
0.008
0.007
0.013
0.012
0.029
0.039
0.014
0.029
0.032
0.02
0.018
0.034
0.013
0.018
0.016
0.017
0.019
0.018
0.019
0.043
0.018
0.021
0.02
0.021
0.027
0.026
99.999
0.026
0.07
0.025
0.034
0.027
0.026
0.032
0.028
0.027
0.029
0.026
99.999
0.059
0.033
0.037
99.999
0.03
0.032
0.033
0.056
99.999
0.053
0.04
0.037
0.033
0.035
0.041
0.041
0.063
0.042
0.046
0.047
0.041
0.05
0.05
0.22
0.851
0.44
0.499
0.493
0.548
0.631
0.568
0.93
0.991
0.584
0.973
0.953
0.834
0.578
0.982
0.599
0.677
0.598
0.65
0.605
0.618
0.632
0.994
0.557
0.658
0.594
0.534
0.668
0.649
0.606
0.577
1.084
0.581
0.715
0.62
0.635
0.707
0.51
0.602
0.697
0.614
1.413
0.82
0.732
0.643
0.621
0.597
0.622
0.608
0.929
1.128
0.88
0.594
0.612
0.598
0.579
0.665
0.649
0.881
0.552
0.645
0.629
0.599
0.708
0.653
0.005
0.003
0.014
0.006
0.01
0.003
0.005
0.004
0.004
0.004
0.004
0.004
0.005
0.005
0.005
0.004
0.005
0.005
0.005
0.005
0.007
0.006
0.007
0.005
0.005
0.006
0.006
0.005
0.006
0.006
0.008
0.006
0.005
0.006
0.007
0.007
0.007
0.007
0.007
0.007
0.006
0.007
0.009
0.007
0.006
0.007
0.01
0.007
0.007
0.007
0.007
0.007
0.007
0.008
0.008
0.007
0.008
0.008
0.009
0.008
0.008
0.008
0.009
0.01
0.008
0.009
0.5
1.631
0.873
0.971
0.994
1.047
1.185
1.152
1.859
1.963
1.217
1.898
1.87
1.638
1.191
1.911
1.275
1.376
1.217
1.353
1.248
1.289
1.313
1.986
1.161
1.357
1.256
1.113
1.397
1.337
1.262
1.264
2.128
1.198
1.381
1.29
1.345
1.358
1.169
1.329
1.421
1.293
2.839
1.523
1.487
1.324
1.271
1.253
1.392
1.281
1.81
2.184
1.831
1.265
1.298
1.216
1.209
1.41
1.363
1.775
1.22
1.339
1.317
1.235
1.467
1.351
0.004
0.003
0.005
0.003
0.005
0.002
0.004
0.003
0.004
0.004
0.003
0.003
0.004
0.004
0.004
0.004
0.004
0.004
0.004
0.004
0.006
0.005
0.006
0.004
0.004
0.005
0.006
0.005
0.005
0.005
0.007
0.006
0.004
0.005
0.006
0.006
0.006
0.006
0.006
0.006
0.005
0.006
0.007
0.006
0.005
0.006
0.01
0.006
0.006
0.006
0.006
0.006
0.006
0.008
0.007
0.006
0.007
0.007
0.008
0.007
0.008
0.008
0.008
0.008
0.007
0.008
414
AKKAYA ET AL.
© Copyright 2010: Instituto de Astronomía, Universidad Nacional Autónoma de México
TABLE 5 (CONTINUED)
X
Y
V
σV
884.7
208.4
503
341.8
848.8
56.6
511.8
461.4
890.3
127.6
830.3
706.8
857.7
313
407.9
213.7
898.4
889.5
365.8
715.2
357.7
784.3
181.3
522.8
455.4
536.7
572.6
574.3
855.7
96.4
440.9
292.2
149.1
371.1
349.9
607
423.8
441.5
36.8
715.7
144.7
802.6
774.7
191.5
514.3
99
893.2
12.1
39.7
474.5
409
243.4
887.8
327.7
513.6
260.1
523.4
114.3
866.3
290.3
14.3
564.4
730.8
261.7
706.4
802
48.6
805.8
790.6
333.4
423.3
322.6
242.7
238.9
254.8
688.2
571.3
653.2
686.4
474.9
892.1
569.5
763.7
213.6
56.9
204.4
727
880.8
413
437.4
6.7
965.8
539.7
574
929.1
221.9
474.2
905.7
325.6
428.8
730.6
409.2
676.4
467.7
252.1
474.9
66.3
738.1
680.8
383.9
656.5
636.6
772
285.9
492.9
639
384.8
985.8
66
808.9
755.5
268.5
410
942.4
423.4
127.4
632
466.8
894.1
687.5
601.3
334
16.466
16.475
16.51
16.511
16.524
16.606
16.662
16.689
16.715
16.715
16.725
16.785
16.872
16.925
16.949
16.953
17.005
17.022
17.048
17.055
17.073
17.087
17.117
17.118
17.126
17.159
17.166
17.175
17.194
17.246
17.249
17.372
17.39
17.396
17.412
17.414
17.521
17.548
17.565
17.578
17.578
17.587
17.64
17.646
17.666
17.676
17.676
17.685
17.708
17.72
17.738
17.772
17.774
17.787
17.796
17.802
17.822
17.856
17.867
17.882
17.885
17.917
17.936
17.968
17.993
18.008
0.008
0.008
0.008
0.008
0.008
0.01
0.011
0.009
0.009
0.009
0.01
0.01
0.011
0.012
0.012
0.013
0.011
0.011
0.016
0.013
0.011
0.012
0.012
0.012
0.012
0.012
0.013
0.011
0.013
0.012
0.013
0.014
0.016
0.017
0.017
0.014
0.014
0.018
0.016
0.015
0.016
0.014
0.016
0.017
0.015
0.016
0.017
0.017
0.018
0.018
0.018
0.02
0.018
0.017
0.018
0.015
0.02
0.019
0.019
0.018
0.018
0.02
0.022
0.019
0.02
0.021
(B − V )
σB−V
(U − B)
σU −B
(V − R)
σV −R
(V − I)
1.086
1.024
1.006
1.129
1.026
1.935
1.341
1.125
1.14
1.047
1.637
1.056
1.904
1.122
1.302
1.287
1.021
1.114
1.443
1.254
1.263
1.403
1.17
1.295
1.307
1.075
1.082
1.081
1.31
1.057
1.181
0.91
1.512
1.202
1.324
1.71
1.159
1.225
1.302
1.21
1.36
1.354
1.149
1.286
1.21
1.118
1.512
2.008
1.833
1.213
1.276
1.189
1.255
1.19
1.189
1.352
1.218
1.384
1.156
1.424
1.144
1.354
1.58
1.199
1.141
1.223
0.02
0.018
0.019
0.02
0.017
0.029
0.025
0.022
0.023
0.022
0.028
0.023
0.035
0.025
0.028
0.028
0.025
0.029
0.031
0.028
0.028
0.035
0.029
0.03
0.028
0.028
0.029
0.026
0.031
0.029
0.032
0.03
0.042
0.035
0.044
0.048
0.037
0.042
0.042
0.04
0.042
0.042
0.038
0.042
0.039
0.039
0.047
0.066
0.061
0.045
0.047
0.05
0.047
0.047
0.047
0.05
0.049
0.051
0.052
0.055
0.045
0.054
0.064
0.047
0.054
0.053
0.582
0.511
0.488
0.472
0.602
99.999
0.556
0.507
0.518
0.381
99.999
0.478
99.999
0.556
0.395
99.999
0.351
0.542
0.552
0.469
99.999
99.999
0.525
0.428
0.36
0.559
99.999
0.412
99.999
0.576
99.999
0.391
99.999
0.396
99.999
99.999
99.999
0.274
99.999
99.999
99.999
99.999
0.329
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
0.055
0.047
0.046
0.055
0.052
99.999
0.072
0.053
0.063
0.087
99.999
0.059
99.999
0.076
0.079
99.999
0.064
0.081
0.113
0.093
99.999
99.999
0.095
0.099
0.099
0.088
99.999
0.076
99.999
0.089
99.999
0.082
99.999
0.105
99.999
99.999
99.999
0.119
99.999
99.999
99.999
99.999
0.115
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
0.682
0.643
0.611
0.625
0.665
1.089
0.801
0.705
0.672
0.643
1.015
0.659
1.129
0.74
0.792
0.719
0.677
0.686
0.878
0.821
0.83
0.875
0.737
0.75
0.759
0.685
0.733
0.688
0.855
0.629
0.733
0.518
0.98
0.785
0.801
1.005
0.74
0.766
0.791
0.723
0.811
0.812
0.762
0.797
0.705
0.783
0.942
1.197
1.07
0.778
0.802
0.769
0.771
0.798
0.753
0.797
0.765
0.872
0.716
0.944
0.675
0.742
1.026
0.668
0.783
0.781
0.01
0.009
0.009
0.009
0.009
0.01
0.01
0.01
0.011
0.011
0.011
0.012
0.011
0.013
0.012
0.016
0.013
0.012
0.014
0.012
0.012
0.014
0.013
0.013
0.013
0.014
0.015
0.013
0.015
0.014
0.016
0.018
0.016
0.017
0.027
0.015
0.015
0.02
0.018
0.017
0.017
0.015
0.017
0.018
0.018
0.018
0.018
0.018
0.018
0.02
0.02
0.022
0.021
0.02
0.021
0.018
0.022
0.02
0.021
0.019
0.021
0.023
0.022
0.022
0.022
0.023
1.432
1.329
1.271
1.327
1.333
2.228
1.702
1.466
1.401
1.34
2.004
1.354
2.153
1.505
1.595
1.445
1.353
1.397
1.739
1.633
1.682
1.728
1.513
1.565
1.594
1.419
1.476
1.421
1.567
1.387
1.521
1.134
1.856
1.635
99.999
2.008
1.539
1.565
1.631
1.521
1.647
1.655
1.505
1.64
1.437
1.49
1.802
2.364
2.129
1.545
1.637
1.614
1.636
1.576
1.546
1.668
1.563
1.692
1.514
1.89
1.487
1.599
1.892
1.44
1.586
1.527
σV −I
0.009
0.008
0.008
0.008
0.008
0.008
0.009
0.009
0.009
0.009
0.009
0.01
0.009
0.011
0.01
0.014
0.011
0.011
0.012
0.011
0.011
0.012
0.011
0.011
0.011
0.012
0.013
0.011
0.013
0.012
0.014
0.015
0.014
0.014
99.999
0.012
0.014
0.017
0.015
0.015
0.016
0.014
0.015
0.016
0.015
0.015
0.015
0.015
0.015
0.017
0.018
0.019
0.017
0.017
0.017
0.015
0.019
0.018
0.019
0.016
0.018
0.019
0.019
0.018
0.019
0.021
UBVRI PHOTOMETRY OF OPEN CLUSTERS
415
© Copyright 2010: Instituto de Astronomía, Universidad Nacional Autónoma de México
TABLE 5 (CONTINUED)
X
Y
V
σV
535.4
1.8
131.7
299.4
849.6
689.8
534.8
292.6
282.5
714.4
858.6
839.7
648.3
171.7
841
166.7
451.1
405.4
545
263.3
628
836.7
212.6
183.9
412
394.7
474
418.6
867.5
533.3
833.6
785
147.5
923.2
751.8
318.5
396.5
468.1
896.9
396.9
348.2
113.9
123.9
188.5
459.8
916.2
497
368.5
776.1
170.7
148.2
189.2
378.7
263.5
104.9
24.9
422.7
306.5
277.9
186
533.3
253.5
715.4
712.4
448.1
609.2
613.7
843.6
267.7
501.5
729.5
859.2
528.8
554.1
893.1
700.2
508
656.6
735.1
905.5
620.1
606.4
430
637.9
575.8
242.9
293.8
425.5
459.4
340.2
648
881.8
96.9
440.8
598
252
631.9
971.5
315.8
618.1
244
481.2
260.3
232.5
706.3
404.3
679.7
727
544.8
861
343.8
835.9
118.9
578.8
687.7
934.1
394.9
460.1
407.8
664.5
695
681.5
449.4
767.3
498.6
556.3
407.9
678.5
275.5
485.8
839.3
585.4
18.015
18.024
18.042
18.047
18.062
18.094
18.117
18.124
18.183
18.208
18.238
18.259
18.272
18.286
18.289
18.324
18.348
18.352
18.401
18.407
18.446
18.459
18.459
18.474
18.491
18.494
18.5
18.501
18.507
18.551
18.578
18.581
18.593
18.603
18.632
18.654
18.673
18.694
18.702
18.707
18.707
18.714
18.716
18.72
18.732
18.735
18.745
18.757
18.758
18.838
18.877
18.887
18.897
18.899
18.934
18.938
18.968
18.971
18.973
18.978
18.983
19.008
19.048
19.074
19.079
19.098
0.019
0.026
0.021
0.019
0.024
0.023
0.02
0.024
0.023
0.023
0.025
0.025
0.024
0.023
0.025
0.023
0.026
0.028
0.03
0.027
0.028
0.029
0.029
0.029
0.028
0.028
0.029
0.031
0.031
0.033
0.031
0.032
0.032
0.03
0.033
0.039
0.033
0.031
0.034
0.033
0.032
0.035
0.036
0.03
0.036
0.036
0.03
0.036
0.033
0.036
0.036
0.047
0.037
0.039
0.042
0.038
0.037
0.042
0.043
0.045
0.044
0.04
0.04
0.046
0.043
0.052
(B − V )
σB−V
(U − B)
σU −B
(V − R)
σV −R
(V − I)
σV −I
1.177
99.999
1.376
1.43
1.465
1.259
1.365
1.263
1.156
1.247
1.095
1.207
1.333
1.402
99.999
1.254
1.444
1.482
1.26
1.567
1.358
1.248
1.188
1.357
1.274
1.647
1.768
1.587
99.999
99.999
1.44
99.999
1.31
1.326
1.431
1.68
1.371
99.999
99.999
99.999
1.097
1.267
1.283
1.243
1.533
1.225
99.999
1.458
1.258
99.999
99.999
99.999
99.999
99.999
1.154
1.184
99.999
99.999
99.999
1.271
99.999
1.121
99.999
99.999
99.999
99.999
0.052
99.999
0.058
0.063
0.073
0.069
0.068
0.063
0.061
0.066
0.063
0.065
0.087
0.07
99.999
0.077
0.08
0.08
0.08
0.091
0.088
0.081
0.076
0.085
0.077
0.103
0.109
0.092
99.999
99.999
0.097
99.999
0.09
0.091
0.098
0.14
0.101
99.999
99.999
99.999
0.089
0.105
0.1
0.101
0.136
0.1
99.999
0.126
0.101
99.999
99.999
99.999
99.999
99.999
0.116
0.113
99.999
99.999
99.999
0.133
99.999
0.103
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
0.788
0.806
0.868
0.826
0.929
0.719
0.8
0.682
0.77
0.868
0.785
0.754
0.811
0.868
0.782
0.723
0.854
0.829
0.82
1.028
0.842
0.762
0.814
0.844
0.961
0.942
0.954
0.877
1.092
0.875
0.827
0.907
0.876
0.934
1.016
0.96
0.732
0.83
0.731
0.918
0.824
0.865
0.822
0.822
0.796
0.833
0.813
0.905
0.745
1.064
0.93
1.111
0.891
0.788
0.819
0.763
0.884
0.797
0.826
0.804
0.866
0.69
0.815
0.977
0.803
1.169
0.022
0.028
0.023
0.021
0.025
0.026
0.023
0.026
0.026
0.026
0.027
0.028
0.026
0.025
0.028
0.027
0.027
0.031
0.032
0.028
0.03
0.031
0.031
0.031
0.03
0.029
0.03
0.033
0.03
0.035
0.035
0.033
0.034
0.031
0.034
0.04
0.036
0.034
0.037
0.035
0.035
0.037
0.04
0.034
0.04
0.039
0.033
0.037
0.038
0.036
0.039
0.045
0.039
0.042
0.045
0.042
0.039
0.045
0.047
0.049
0.045
0.045
0.042
0.048
0.046
0.049
1.584
1.643
1.751
1.707
1.84
1.5
1.617
1.553
1.535
1.672
1.553
1.515
1.597
1.748
1.521
1.533
1.735
1.693
1.674
1.917
1.735
1.58
1.606
1.728
1.855
1.849
1.854
1.756
2.078
1.784
1.644
1.75
1.779
1.832
1.964
1.868
1.642
1.744
1.609
1.794
1.644
1.666
1.598
1.635
1.679
1.65
1.769
1.844
1.586
2.07
1.791
2.138
1.749
1.58
1.632
1.529
1.783
1.645
1.69
1.638
1.76
1.423
1.766
1.808
1.624
2.38
0.019
0.025
0.02
0.018
0.021
0.022
0.019
0.023
0.022
0.022
0.024
0.024
0.023
0.022
0.024
0.023
0.025
0.026
0.028
0.024
0.026
0.028
0.028
0.028
0.025
0.026
0.026
0.028
0.027
0.031
0.029
0.03
0.03
0.028
0.029
0.035
0.032
0.03
0.033
0.031
0.031
0.032
0.034
0.03
0.034
0.034
0.029
0.033
0.032
0.032
0.033
0.04
0.034
0.037
0.039
0.037
0.035
0.04
0.04
0.043
0.04
0.041
0.038
0.041
0.041
0.043
416
AKKAYA ET AL.
© Copyright 2010: Instituto de Astronomía, Universidad Nacional Autónoma de México
TABLE 5 (CONTINUED)
X
Y
V
σV
167
660.7
840.5
747.2
791.4
884.2
799.2
315.9
325.3
425
151.9
568.2
75.1
660.3
277.2
636.9
854.3
170.4
740
305.6
861.4
780.4
891.1
384.8
637.2
680.1
50
215.8
10.3
537.4
255.4
49
847.1
550.9
576.3
680
751.4
429.8
394.7
249.1
295.1
340.6
863.5
376.6
732.4
673.3
136.6
892.5
284.6
466.8
669.1
187.3
595.7
630.9
340.1
915.1
607.4
512.5
500.5
645.4
280.7
636.5
64.8
111.6
819.8
65.4
666.8
542.1
711
514.5
338.5
936
629.2
924
790.9
25.3
459
3.8
753.4
809
874.9
698.1
293.3
418.7
805.2
336.1
623.4
105.5
150.2
755.5
613.8
860.1
455.1
223.9
605.8
942.8
599.4
671.7
541.9
454.9
687.7
429
450.8
251.6
367
983.9
657
456.9
383.3
539.7
168.4
587.1
393.6
688.9
219.6
246.1
739.3
543.2
889.6
198.8
373
27.4
290.5
302.7
973.7
154.5
123.8
933
500.9
32.8
718.2
714.9
19.103
19.15
19.152
19.16
19.163
19.165
19.181
19.202
19.204
19.212
19.217
19.221
19.235
19.244
19.248
19.254
19.257
19.273
19.313
19.324
19.326
19.33
19.334
19.344
19.358
19.359
19.363
19.368
19.382
19.389
19.402
19.409
19.419
19.421
19.428
19.428
19.432
19.437
19.449
19.45
19.451
19.502
19.553
19.579
19.58
19.593
19.593
19.595
19.607
19.614
19.63
19.651
19.668
19.671
19.671
19.683
19.686
19.723
19.725
19.733
19.778
19.805
19.82
19.867
19.902
19.921
0.045
0.054
0.043
0.045
0.047
0.051
0.052
0.05
0.052
0.044
0.047
0.054
0.048
0.052
0.057
0.045
0.055
0.055
0.051
0.057
0.058
0.055
0.055
0.055
0.055
0.059
0.055
0.058
0.057
0.064
0.059
0.064
0.062
0.057
0.055
0.067
0.055
0.061
0.07
0.074
0.058
0.06
0.066
0.066
0.067
0.073
0.067
0.067
0.067
0.067
0.066
0.074
0.077
0.075
0.067
0.075
0.073
0.087
0.077
0.08
0.08
0.095
0.096
0.104
0.083
0.083
(B − V )
σB−V
(U − B)
σU −B
(V − R)
σV −R
(V − I)
σV −I
99.999
99.999
99.999
99.999
1.091
99.999
0.898
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
1.12
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
0.134
99.999
0.122
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
0.15
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
99.999
0.722
0.909
0.855
0.911
1.029
0.982
0.858
0.923
0.875
0.935
0.799
0.835
0.765
0.846
0.866
0.738
0.83
0.856
0.914
0.888
0.985
0.838
0.772
0.848
0.871
0.798
0.807
0.845
0.799
0.841
0.946
1.089
0.748
0.939
0.747
0.844
0.942
0.739
0.955
1.107
1.154
0.86
0.812
0.706
0.877
1.04
0.855
0.782
0.787
0.828
0.834
0.59
0.868
0.842
0.813
1.065
0.876
1.044
0.659
0.884
0.997
0.729
1.05
1.086
0.717
0.707
0.049
0.055
0.046
0.047
0.048
0.051
0.054
0.052
0.055
0.046
0.05
0.056
0.051
0.054
0.058
0.05
0.057
0.058
0.053
0.062
0.059
0.058
0.062
0.058
0.058
0.061
0.058
0.06
0.061
0.066
0.059
0.062
0.066
0.058
0.063
0.068
0.057
0.066
0.071
0.071
0.057
0.064
0.071
0.074
0.068
0.072
0.069
0.072
0.074
0.071
0.072
0.081
0.079
0.08
0.074
0.074
0.074
0.083
0.085
0.08
0.08
0.098
0.092
0.102
0.092
0.094
1.51
1.812
1.658
1.802
1.882
1.883
1.651
1.83
1.748
1.814
1.651
1.794
1.586
1.677
1.697
1.543
1.646
1.768
1.897
1.794
2.026
1.746
1.6
1.678
1.628
1.688
1.878
1.786
1.702
1.734
1.764
2.069
1.66
1.903
1.659
1.673
1.76
1.616
1.734
2.083
2.063
1.765
1.646
1.493
1.819
1.947
1.816
1.72
1.794
1.802
1.711
1.558
1.744
1.804
1.711
2.101
1.854
2.022
1.552
1.757
1.972
1.584
2.009
2.178
1.592
1.598
0.043
0.049
0.041
0.042
0.043
0.046
0.049
0.046
0.048
0.041
0.046
0.05
0.047
0.049
0.053
0.043
0.052
0.051
0.046
0.053
0.051
0.051
0.053
0.051
0.052
0.056
0.051
0.053
0.055
0.059
0.054
0.055
0.059
0.051
0.054
0.063
0.052
0.058
0.064
0.063
0.05
0.055
0.062
0.065
0.062
0.064
0.061
0.064
0.063
0.063
0.062
0.074
0.073
0.069
0.063
0.066
0.067
0.076
0.076
0.073
0.071
0.088
0.082
0.088
0.08
0.082
© Copyright 2010: Instituto de Astronomía, Universidad Nacional Autónoma de México
UBVRI PHOTOMETRY OF OPEN CLUSTERS
417
used to help us in the visualization and analysis of
the photometric data (e.g., Schuster et al. 2007).
These programs facilitate the elimination of field and
apparent non-member stars of a given cluster from
the diagnostic diagrams used to enhance the apperception of cluster features. Once a satisfactory first
estimate of the parameters was obtained, a full-frame
solution was also consulted and refined.
safe is capable of displaying simultaneously in
different color-color (CC) and color-magnitude (CM)
diagrams the cluster’s data and has an interactive
way to identify a (group of) star(s) in one particular diagram and to see where it falls in the other
diagrams. This program is capable of displaying up
to 16 different diagrams for a given cluster and is
very useful for the determination of a cluster’s physical parameters. Figure 1a-c presents the DSS redfilter images of Be 89 (Panel a), Ru 135 (Panel b)
and Be 10 (Panel c), with the regions analyzed in
this work enclosed by ellipses. The central (X, Y )
pixel coordinates of the nearly circular regions in
Figure 1a-c, which are considered for the photometric analyses are the following: (584, 488) pixels for
Be 89, (542, 504) for Ru 135, and (517, 493) for
Be 10. The diameters in arcminutes (∆X, ∆Y ) of
nearly circular regions in Figure 1a-c are the following: (2.27, 2.65) for Be 89, (2.62, 2.67) for Ru 135,
and (3.12, 2.34) for Be 10.
3. ANALYSES OF THE OPEN CLUSTERS
BE 89, RU 135, AND BE 10
The (U − B, B − V ), two-color or CC, diagram,
and five CM diagrams have been used together with
the zero-age-main-sequence (ZAMS) intrinsic-color
calibrations of Schmidt-Kaler (1982, hereafter SK82)
and with the Padova isochrones (Girardi et al. 2000,
hereafter GBBC; Bertelli et al. 2008; Marigo et al.
2008, hereafter MGBG) to obtain reddenings, metallicities, distance moduli, and ages for these clusters.
Our analysis technique for our program clusters
places particular emphasis upon the fit of the ZAMS
intrinsic colors and Padova isochrones to the observational data of the clusters, and this depends in turn
upon important characteristics of the CM and CC
diagrams for open clusters (e.g., Paunzen & Netopil
2006, their § 3), which are summarized as follows:
1. A procedure for eliminating non-members.
2. A determination of the interstellar reddening as
accurately as possible.
3. Visibility of the turn-off.
Fig. 1. DSS red-filter images of the Galactic open clusters
Be 89 (Panel a), Ru 135 (Panel b), and Be 10 (Panel c).
The regions analyzed with the elipse inspection tool,
to derive first estimates for the fundamental parameters,
are enclosed by ellipses. Orientation as usual: north is
up, and east to the left.
418
AKKAYA ET AL.
4. Compensation for binary stars which tend to
widen the main-sequence distribution.
5. Consideration of the red-clump stars (if present)
to improve the isochrone fit.
© Copyright 2010: Instituto de Astronomía, Universidad Nacional Autónoma de México
6. An appropriate choice of the isochrone which
corresponds to the correct heavy-element abundance (Z).
Regarding the locus of the main sequence in a
CM diagram, and independent of any cosmic dispersion, the main-sequence strips or bands in the CM
diagrams are affected by the contamination of binary
and multiple stars; particularly, the mid-points are
shifted to brighter magnitudes and the colors to redder values due to this contamination, and also sometimes due to variable intercluster extinction. For this
reason, the SK82 ZAMS and the MGBG isochrones
have been fitted to the blue- and faint-most concentrations within the observed broad main-sequence
bands whenever possible, assuming that these concentrations reflect the single-star distribution (e.g.,
Carney 2001), and that most stars observed red- and
bright-ward of these are in fact binary, or multiple,
systems.
In the absence of proper-motion/radial-velocity
measurements to insure cluster membership, and to
minimize the effects of field-star contamination, we
have concentrated more on the central regions of the
clusters rather than using the full-frame CCD images; this has been accomplished by using the elipse
or safe programs, described above. These have been
used to select an elliptical, or polygonal area (with
as many as 10 sides), centered on the open cluster as
seen in a V or R image, excluding stars outside this
area from further analyses. (See Figure 1). These
interactive analyses greatly increase the contrast of
cluster members with respect to the field stars, and
thus the scatter in the CM and CC diagrams is significantly reduced.
Also, the observational errors, e.g., σ(U −B) , of
these three clusters have been considered as a criterion in selecting the more reliable data for further
analyses. The values of σ(U −B) are almost always
larger than the ones of σ(B−V ) due to the smaller
sensitivity of the CCD in the ultraviolet, and the
errors σ(R−I) , σ(V −I) , and σ(V −R) are among the
smallest. The observational errors, such as σ(U −B) ,
σ(B−V ) , and σ(B−R) , have been selected to be less
m
than ≈ 0.m 10 (and sometimes <
∼ 0. 05) in some of the
diagnostic diagrams presented in the analyses to follow, such as the (U − B, B − V ), (V, B − V ), and
(V, B − R) diagrams.
Interstellar reddenings of the program clusters
have been estimated from shifts of the intrinsic-color
sequences of SK82 in the (U − B, B − V ) diagram, until the best fit to the data of the clusters
was achieved: along the U − B axis by 0.72 E(B −
V ) + 0.05 E(B − V )2 and along the (B − V ) axis
by E(B − V ). For this, F-type stars have been fitted above the main sequence of SK82 [i.e., blue-ward
in (U − B)], and simultaneously the red-clump stars
above the red-giant colors of SK82 with consistent ultraviolet excesses according to the normalizations of
Sandage (1969). The two-color sequence of SK82 has
been constructed from the intrinsic colors of SK82
m
for zero-age dwarfs [(B − V )0 <
∼ 0. 75] and for giants
m
>
[(B − V )0 ∼ 0. 75].
Once the two-color sequence of SK82 has been
fixed as indicated above, to determine the photometric metal abundance, [Fe/H], one first locates the
F-type stars in the (U −B, B −V ) diagram and compares their location with that of their counterparts
of known metallicity (e.g., the SK82’s ZAMS calibration). Deviations between the two are due mainly to
their differences in metal content, an ultraviolet excess, δ(U − B), being caused by differences in line
blanketing. The metal-deficient F-type cluster stars,
if present, lie blue-ward of the “hump region” of the
ZAMS sequence, where an eyeball-fitted osculating
curve similar to “the hump” has been fitted to the
data points of the F-stars (i.e., the thick line above
the hump of the F-star region in Figures 2, 5, and
8) and, simultaneously, to the red-clump stars (if
present), since they also will lie blue-ward of the redgiant colors of SK82 with a corresponding ultraviolet excess. This ultraviolet excess is correlated with
the photometric metallicity of the cluster. Then, a
metallicity value, [Fe/H], for a cluster can be derived
from the empirical calibration, [Fe/H]-δ(U − B)0.6 ,
of Karataş & Schuster (2006), allowing the determination of [Fe/H] independently of the isochrones to
be fitted to the data, thus reducing from three to two
the free parameters to be derived from the CM diagrams. Heavy-element abundances (Z) of the three
clusters have been obtained from the photometric
metal abundances [Fe/H] with the expression
Z = Z⊙ · 10[Fe/H] , Z⊙ = +0.019 .
(6)
Finally, the appropriate isochrones of MGBG were
computed online in terms of the resulting heavyelement abundance for further analyses of the clusters (distances and ages).
To estimate the the age of a cluster (A) and
the true distance modulus (DM = V0 − MV ) in
a CM diagram, for example the (V, B − V ) dia-
UBVRI PHOTOMETRY OF OPEN CLUSTERS
419
TABLE 6
© Copyright 2010: Instituto de Astronomía, Universidad Nacional Autónoma de México
ADOPTED INTERSTELLAR
EXTINCTION LAW
E(V −I)
E(B−V )
E(R−I)
E(B−V )
E(V −R)
E(B−V )
E(B−R)
E(B−V )
1.25
0.69
0.56
1.56
gram, the absolute magnitudes, MV , of the MGBG
isochrones have been shifted by DM + 3.1 E(B − V )
along the magnitude axis and their corresponding
colors, (B −V )0 , reddened by adding the color excess
E(B − V ) until some DM value provides a good fit
of the appropriate isochrone to the faint/blue concentration of the observed lower main sequence of
the cluster and, if present, of the red-clump stars.
One has to take into account when determining the
DM that metal-poor stars are sub-luminous as compared with their solar-like counterparts by determining a reliable value for Z from the CC diagram. To
infer the age of the cluster, the (logarithm of the)
age of the isochrones, log A, has been varied until
a good match with the observed sequences, i.e., the
upper main-sequence (MS), the turn-off (TO) stars,
and, if present, the red-clump (RC) stars, has been
achieved. A fine tuning of the DM has been made if
necessary. The uncertainties of E(B − V ), Z, DM ,
and log A are discussed in § 3.4.
Following a similar procedure to that outlined
above, the distance moduli and cluster ages have
also been derived from analyses of four other CM
diagrams for each of the clusters. The corresponding color excesses applied in the diagrams were iterated starting with the previously derived color excess estimates, E(B − V ), and the results were intercompared by means of the standard interstellar extinction law adopted (see Table 6; also cf. Dean,
Warren, & Cousins 1978; Mathis 1990; Straiz̧ys
1995) until satisfactory solutions were obtained for
all the CM diagrams. The derived extinction laws
do not differ significantly from that of Table 6.
3.1. Be 89
The (U − B, B − V ) diagram of Be 89 is
shown in Figure 2. An interstellar reddening of
(B − V ) = 0.m 60 ± 0.m 09 has been derived by shifting the intrinsic two-color stellar sequence of SK82
along the reddening vector as described in the previous section. (Another possibility, to fit the stars
by E(B − V ) ≃ 0.m 73 to the blue (B-star) branch of
the ZAMS curve, would leave many stars far from
a good fit). Six stars apparently in the cluster are
noticed with (B − V ) ≈ 1.m 6 and (U − B) ≈ 1.m 4
Fig. 2. The (U − B, B − V ) diagram of Be 89. The
“S” curves (upper parts, ZAMS, and lower parts, red
giants) have been taken from the two-color relations of
SK82 and are displayed for the interstellar reddening values E(B − V ) = 0.m 00 and 0.m 60 (the bluer and redder
versions, respectively). A reddening vector is also shown
as an arrow, and big open circles mark the six RC candidates, and open squares, the blue-straggler ones. A
heavy solid curve represents our best fit to the data;
this has been adjusted to the main-sequence F-type stars
above (i.e., blue-ward of) the ZAMS colors of SK82 and,
simultaneously, to the RC stars above the red-giant colors of SK82. This fit has been used to estimate the
heavy-element abundance of the cluster, which is shown
in Table 7.
(big open circles in Figure 2) lying near, but above
(i.e., blue-ward of) the giant sequence of SK82, the
expected location of the RC stars; their subsequent
locations in the CM diagrams confirm this classification (see Figures 3 and 4). A seventh candidate
falls further from the expected RC locus in four of
the five CM diagrams.
The F-type and RC stars of Be 89 (cf. Figure 2,
(B − V ) ≈ 1.m 0 and ≈ 1.m 6, respectively) lie above
the (reddened) ZAMS two-color calibration of SK82
by δ(U − B) ≃ 0.m 1. Our best eyeball fit to the data
is shown as the heavy solid curve in Figure 2. In the
dereddened two-color diagram, the heavy line gives
a value of (U − B)0 = −0.m 10 ± 0.m 02 at (B − V )0 =
0.m 44, and at this same color index, the highest point
of the SK82 hump has (U − B)0 = −0.m 02. The resulting ultraviolet excess, δ(U −B) = +0.m 08±0.m 02,
has been converted to δ(0.6) = +0.m 10 ± 0.m 02 at
© Copyright 2010: Instituto de Astronomía, Universidad Nacional Autónoma de México
420
AKKAYA ET AL.
Fig. 3. CM diagrams, (V, B − V ) and (V, R − I), for
Be 89. Solid lines show the interpolated Z = +0.008
isochrones of MGBG (cf. Table 7 for the inferred metallicity). Big open circles denote the RC candidates, and
open squares, the blue-straggler ones. See the text and
Table 8 for the inferred values of the distance modulus
and age.
(B−V ) = +0.m 60 with the normalization ratios given
by Sandage (1969, his Table 1A). These values have
been listed in Table 7, together with the corresponding photometric metallicity [Fe/H]= −0.35±0.02 dex
derived with help of the calibration [Fe/H]-δ(0.6) of
Fig. 4. CM diagrams, (V, V − I), (V, V − R), and
(V, B −R), (top, center and bottom panels, respectively)
for Be 89. The isochrone curves and the symbols have the
same meaning as in Figure 3. See the text and Table 7
for the inferred values of reddening and metallicity, and
Table 8 for the distance modulus and age.
© Copyright 2010: Instituto de Astronomía, Universidad Nacional Autónoma de México
UBVRI PHOTOMETRY OF OPEN CLUSTERS
421
been computed from E(B − V ) with help of Table 6,
and then the isochrone ages have been varied until a
satisfactory fit to the data has been obtained through
the observed upper-MS, TO, and RC sequences of
the cluster (cf. Figures 3–4). The resulting inferred mean age of Be 89 is log(A) = 9.58 ± 0.06 dex
(A = 3.8 ± 0.6 Gyr).
For all of these CM diagrams of Be 89, two
isochrones have been plotted to provide a means
for appreciating the uncertainties of the derived distances and ages. In Table 8 the range in ages provided by these isochrone pairs, the final values for
the distances and ages from each CM diagram, and
the mean values for each cluster are given. Error
estimates of (V0 − MV ) and log(A) are discussed in
§ 3.4 below, and the mean results given in Table 8
have been calculated with equations (8) and (9) inserting the corresponding parameters summarized in
the table.
Fig. 5. The CC diagram of Ru135. The SK82 curves
and the symbols have the same meaning as in Figure 2.
See the text and Table 7 for the inferred values of the
reddening and metallicity.
Karataş & Schuster (2006). Note that the δ(0.6)
in the notation of the latter authors corresponds to
delta(0.6) in the notation of Sandage (1969). Applying the above relation between [Fe/H] and Z, where
[Fe/H] has been estimated as −0.35 ± 0.02 dex, gives
Z = +0.008 ± 0.0003. The online isochrones of
MGBG have been iterated using this metal abundance when further analyzing Be 89.
In Figures 3 and 4, the isochrones of MGBG
for Z = +0.008 have been over-plotted in five CM
diagrams: (V, B − V ), (V, R − I), (V, V − I),
(V, V − R), and (V, B − R) after reddening the
isochrones along the color axis with a color excess
corresponding to E(B − V ) = 0.m 60, converted with
help of Table 6, and adding a visual extinction of
AV = 3.1 · E(B − V ) = 1.m 86 to the absolute
magnitudes of the isochrones. The isochrones have
then been shifted vertically to obtain the best fit
to the observed lower-MS and and RC sequences.
This vertical shift is the (true) distance modulus,
DM = (V0 − MV ). The best fit for Be 89 is
DM = 11.m 90 ± 0.m 06 (d = 2.4 ± 0.06 kpc, cf. Table 8).
To derive an age estimate for Be 89, the
isochrones of MGBG for Z = +0.008 have been
shifted in the CM planes as above, i.e., MV +
3.1E(B −V )+DM and C0 (λ1 −λ2 )+E[C(λ1 −λ2 )],
respectively, where the latter color excesses have
3.2. Ru 135
The same procedures outlined in § 3, and § 3.1
for Be 89, have also been used for the clusters Ru 135
and Be 10. A reddening of E(B − V ) = 0.m 63 ± 0.m 12
has been derived for Ru 135 (cf. Figure 5). However, a clump of A-type stars at (B − V ) ≃ 0.m 8
and (U − B) ≃ 0.m 4 seems to be present, with a
horizontal-like distribution which does not fit satisfactorily the reddened two-color ZAMS curve of
SK82. These stars (Sp ≈ A-types) are probably less
reddened than Ru 135 by ≃ 0.m 3 in E(B −V ), nearer,
and most probably not cluster members (cf. the open
squares in the CC and CM diagrams of Figures 5, 6,
and 7), or they could be blue stragglers belonging
to the cluster. For this latter case, they would be
peculiar because of an ultraviolet-flux excess present
in their spectral energy distributions (SEDs), and
only a spectroscopic study with good signal-to-noise
ratios would reveal more about their true nature.
Ru 135 contains a considerable number of F- and
later-type stars, and appears to have its blue-most
turn-off limit at (B −V ) ≈ +1.m 0 and (U −B) ≈ 0.m 4,
corresponding to a dereddened (B − V ) ≈ +0.m 43
(i.e., Sp ≈ F5V). The best fit to the observed Fhump sequence in the (U − B, B − V ) diagram is
the solid curve shifted blue-ward with respect to the
two-color SK82 curve (cf. Figure 5). From the ultraviolet excess of these cluster F stars and following the procedure outlined at the beginning of § 3,
[Fe/H]= −0.71 ± 0.02 dex (Z = +0.004 ± 0.0002) has
been derived. The isochrones of MGBG with this
metallicity have been computed on line and used in
the following analyses.
422
AKKAYA ET AL.
TABLE 7
NORMALIZED (U-B) EXCESSES AND DERIVED METALLICITIES
Cluster
(U − B)SK82
[mag]
(U − B)0,fit
[mag]
δ(U − B)
[mag]
δ(0.6)
[mag]
[Fe/H]
[dex]
Z
Be 89
Ru 135
Be 10
−0.02
−0.02
−0.02
−0.10
−0.16
−0.09
0.08
0.14
0.07
0.10
0.14
0.11
−0.35
−0.71
−0.49
0.008
0.004
0.006
≤ ±0.01
±0.02
±0.02
±0.02
±0.02
≤ ±0.001
© Copyright 2010: Instituto de Astronomía, Universidad Nacional Autónoma de México
error
TABLE 8
DISTANCE AND AGE ESTIMATES OF THE CLUSTERS
Color
(V0 − MV )
[mag]
d
[kpc]
log(A)
range
log(A)
A
[Gyr]
Be 89: E(B − V ) = 0.60 ± 0.09 & Z = +0.008 ± 0.001
(B − V )
(R − I)
(V − I)
(V − R)
(B − R)
11.90 ± 0.10
11.90 ± 0.20
11.90 ± 0.15
11.90 ± 0.10
11.90 ± 0.20
2.4 ± 0.1
2.4 ± 0.2
2.4 ± 0.2
2.4 ± 0.1
2.4 ± 0.2
Mean
11.90 ± 0.06
2.4 ± 0.06
9.45–9.55
9.50–9.60
9.50–9.60
9.50–9.60
9.45–9.55
9.55 ± 0.15
9.60 ± 0.20
9.60 ± 0.20
9.60 ± 0.15
9.55 ± 0.10
3.6 ± 1.4
4.0 ± 2.3
4.0 ± 2.3
4.0 ± 1.6
3.6 ± 0.9
9.58 ± 0.06
3.8 ± 0.6
Ru 135: E(B − V ) = 0.63 ± 0.12 & Z = +0.004 ± 0.001
(B − V )
(R − I)
(V − I)
(V − R)
(B − R)
9.50 ± 0.15
9.70 ± 0.15
9.60 ± 0.20
9.60 ± 0.15
9.50 ± 0.20
0.75 ± 0.05
0.87 ± 0.06
0.83 ± 0.08
0.83 ± 0.06
0.75 ± 0.07
Mean
9.58 ± 0.07
0.81 ± 0.03
9.60–9.70
9.55–9.65
9.55–9.65
9.55–9.65
9.60–9.70
9.60 ± 0.15
9.55 ± 0.15
9.55 ± 0.15
9.60 ± 0.15
9.60 ± 0.15
4.0 ± 1.6
3.6 ± 1.5
3.6 ± 1.5
4.0 ± 1.5
4.0 ± 1.6
9.58 ± 0.06
3.8 ± 0.7
Be 10: E(B − V ) = 0.75 ± 0.09 & Z = +0.006 ± 0.001
(B − V )
(R − I)
(V − I)
(V − R)
(B − R)
11.20 ± 0.11
11.10 ± 0.20
11.15 ± 0.15
11.15 ± 0.20
11.20 ± 0.10
1.7 ± 0.1
1.7 ± 0.2
1.7 ± 0.1
1.7 ± 0.2
1.7 ± 0.1
Mean
11.16 ± 0.06
1.70 ± 0.05
The five CM diagrams, (V, B − V ) through
(V, B − R), of Ru 135 are displayed in Figures 6 and
7 together with the reddened isochrones that best fit
the data for the derived color excess and metallicity,
E(B − V ) = 0.m 63 and Z = +0.004. The distance
moduli, (V0 − MV ), and ages, A, found from these
five CM diagrams and their respective isochrone fittings are given in Table 8.
In these CM diagrams a significant number of
stars are seen extending to brighter magnitudes and
red-ward from the fainter and redder observational
limits of the main sequences, i.e., the stars extending
9.05–9.15
9.10–9.20
9.05–9.15
9.05–9.15
9.05–9.15
9.05 ± 0.10
9.10 ± 0.10
9.05 ± 0.15
9.05 ± 0.10
9.05 ± 0.05
1.1 ± 0.3
1.3 ± 0.3
1.1 ± 0.3
1.1 ± 0.3
1.1 ± 0.1
9.06 ± 0.05
1.08 ± 0.08
red-ward and upward from (V, B −V ) ≈ (18.m 5, 1.m 5)
or (V, R − I) ≈ (18.m 5, 0.m 9) (cf. Figure 6). These
are probably field red-giant stars contributed by the
Galactic bulge, as suggested by the Galactic longitude and latitude of Ru 135, ℓ ≃ 16.4◦ and b ≃ +6.2◦
(see Binney & Merrifield 1998; Stanek et al. 1996,
Figures 3.5 and 2, respectively). The fact that
Ru 135 lies near the direction of the Galactic central region also explains the significant number of
brighter and bluer foreground stars seen in its CC
and CM diagrams.
© Copyright 2010: Instituto de Astronomía, Universidad Nacional Autónoma de México
UBVRI PHOTOMETRY OF OPEN CLUSTERS
423
Fig. 6. The (V, B − V ) and (V, R − I) diagrams for
Ru 135. Solid lines show the isochrones of MGBG interpolated to Z = +0.004. See the text, and Tables 7 and
8, for the inferred values of reddening, metallicity, distance modulus, and age. Stars shown with open-square
symbols are most likely field, or blue-straggler, stars.
3.3. Be 10
In Figure 8 the loci of stars observed in the direction of Be 10 are shown in the (U − B, B − V )
diagram, together with the standard interstellar reddening vector and the two-color curve of SK82,
shifted along this vector to procure the best fit to
the data. From the fits along the (B − V ) and
(U − B) axes, E(B − V ) = 0.m 75 ± 0.m 09 and ([Fe/H],
Fig. 7. The (V, V − I), (V, V − R) and (V, B − R)
diagrams for Ru 135. The symbols are the same as in
Figure 6. See the text, and Tables 7 and 8, for the inferred values of reddening, metallicity, distance modulus,
and age.
© Copyright 2010: Instituto de Astronomía, Universidad Nacional Autónoma de México
424
AKKAYA ET AL.
Fig. 8. The (U − B, B − V ) plot of Be 10. The symbols
and the curves are the same as in Figure 2.
Z) = (−0.49 ± 0.02 dex, +0.006 ± 0.0003) are found,
following the procedures described in § 3 and § 3.1
(see Table 8 for partial and mean results). Again,
the appropriate isochrones of MGBG have been computed online with this corresponding metallicity and
are used below for further analyses of Be 10.
For Be 10, DM = (V − 3.1 · E(B − V ) − MV ) =
11.m 16 ± 0.m 06, the distance, d = 1.7 ± 0.05 kpc,
the metallicity, Z = +0.006 ± 0.0003, log(A) =
9.06 ± 0.05, and the age, A = 1.08 ± 0.08 Gyr have
been measured. Our results are listed in Tables 7 and
8. The resulting (best) isochrone fitting to the corresponding Be 10 data in the (V, B − V ), (V, R − I),
(V, V − I), (V, V − R) and (V, B − R) diagrams are
displayed in Figures 9 and 10, where one can see that
the isochrones reproduce well the observed lower and
upper MS, the TO, and RC sequences of this cluster.
3.4. Estimated errors and weighted averages
In Table 7, the ultraviolet excesses and the metallicities are given for Be 89, Ru 135, and Be 10, and
in Table 8, the mean values for the distance moduli,
heliocentric distances, logarithmic ages, and ages, together with the corresponding estimates of precision.
The errors were calculated in a straightforward manner (cf. Bevington & Robinson 2003, and references
therein). In the following the details of this error
analysis are presented.
Fig. 9. The (V, B−V ) and (V, R−I) diagrams for Be 10.
Solid lines show the isochrones of MGBG interpolated to
Z = +0.006. The larger open circles identify the RC candidates. See the text, and Tables 7 and 8, for the inferred
values for reddening, metallicity, distance modulus, and
age.
3.4.1. Errors in E(B − V ) and Z
The random errors in the color excess E(B − V )
and photometric metallicity [Fe/H] were estimated
as follows:
(i) By moving the two-color curve of SK82 backward and forward along the standard reddening
UBVRI PHOTOMETRY OF OPEN CLUSTERS
425
© Copyright 2010: Instituto de Astronomía, Universidad Nacional Autónoma de México
vector in the (U − B, B − V ) diagram until a
good fit with the observed GK-type, RC, and
F-hump sequences was achieved. (No BA-type
sequences were present for these clusters.) The
precision of the determinations also depends on
the scatter of the data points (cf. Figure 5 of
Ru 135 and Figure 8 of Be 10 for good and
fair cases, respectively). The uncertainties given
in Tables 7 and 8 reflect this. Following this
procedure, a typical error in E(B − V ) for the
quality of the reduced data of our clusters is
(conservatively) ≈ 0.m 04. The systematic error
in E(B − V ) depends on the color calibration
used. In the case of SK82, the uncertainty can
be safely assumed to be, at the most, of the order of the difference between two adjacent spectral subclasses.
(ii) The random photometric-metallicity uncertainty has then been estimated from the
parabolic (eyeball) fit to the data of the maximum characterizing the ultraviolet flux excess
of the stars at the dereddened color (B − V )0 ≃
0.m 44 (Sp ≃ F5) and then following Sandage’s
(1969) normalization procedure.
The uncertainty of the metal content Z was determined from the relation (e.g., Bevington &
Robinson 2003):
σZ = ln 10 × Z × σ[Fe/H] .
(7)
σ[Fe/H] has been estimated from the uncertainty
in the ultraviolet excess δ(U − B) at the F
hump between the observed and the SK82 twocolor curves and is typically ±0.m 02. Assuming
hZi = 0.006 (the mean of the three clusters)
| σZ | ≤ 0.0003 is obtained with equation (7)
above. Assuming an error of about 0.001 for Z
is, in our case, a quite conservative estimate.
Fig. 10. The (V, V − I), (V, V − R) and (V, B − R)
diagrams for Be 10. The symbols are the same as in Figure 9. See the text, and Tables 7 and 8, for the inferred
values for reddening, metallicity, distance modulus, and
age.
(iii) On the other hand, the deviation of the assumed
reddening vector from the “true” one depends
on the quotient E(U − B)/E(B − V ), which can
strongly deviate locally from its canonical value
of 0.72 (see Chavarrı́a, de Lara, & Hasse 1987;
Johnson 1977). This uncertainty may produce
errors larger than the precision quoted above.
For a crude estimate, using the extremes of the
cited values of E(U − B)/E(B − V ) and a typical color excess of E(B − V ) = 0.m 50, the uncertainty in δ(U − B) could be as large as 0.m 150.m 20. However, since our displacements of the
SK82 curve in the CM-diagrams are consistent
with the canonical value for the interstellar ex-
426
AKKAYA ET AL.
© Copyright 2010: Instituto de Astronomía, Universidad Nacional Autónoma de México
tinction law, we assume that this error contribution is negligible statistically.
(iv) Another systematic uncertainty results from the
two-color calibration of SK82: from the uncertainty of (U − B) or (B − V ) in the two-color
calibration curve of SK82, which is expected to
be of the order of the difference between two
m
typical spectral subclasses (in our case <
∼ 0. 05)
for the (U-B) index; and from the fit of the
whole curve to
√ a cluster data set, of the orm
der <
0.
05/
N , where there are N pivotal
∼
points considered when adjusting the SK2 twocolor curve (the BA-type, the F-hump, the GKtype, and the RC sequences; i.e., N >
∼ 3). Summarizing, the systematic uncertainty in δ(U −B)
should be less than roughly three times that
given by the precision of the flux measurements.
3.4.2. Errors in the distance moduli and ages
(i) The uncertainties σDMi for the moduli given in
Table 8 that result from fitting the appropriate isochrones to the data in the CM diagrams
depend on the photometric uncertainties (flux
measurement and standard-transformation errors), the absolute magnitude and intrinsic color
calibration errors (see for example, SK82), the
color excess uncertainty of a given color [which
depends on E(B−V )], and on the reddening law
adopted. We assume that the isochrones only
contain the errors of the absolute magnitude and
intrinsic-color calibrations and that the photometric and transformation errors are small
(≈ 0.m 03) when compared to the other sources
of error. In our case, the largest contribution to
the distance modulus uncertainty is due to the
uncertainty in the absolute-magnitude scale, followed by the uncertainty in the slope of the reddening vector, and the color-excess error, about
0.m 3, 0.m 15 and 0.m 12, respectively, which combine to give an expected total uncertainty as
large as σDMi ∼
= 0.m 25.
The moduli resulting from the CM diagrams of
each object and the mean moduli for the three
clusters are given in Table 8, and the mean of
the moduli has been derived from the five moduli, weighted with their respective (usually unequal) precisions, with the following expression:
DM =
2
Σ(DM )i /σDM
i ; (i = 1, ..., 5),
2
Σ 1/σDM i
(8)
and the associated mean uncertainty is estimated from the individual uncertainties of the
five CM-diagrams of a given cluster by the relation:
X
1
1
=
(9)
2
(σmean )
(σDM )2i
The combined error is the square root of the sum
of the squared uncertainties and is expected to
be about 0.m 15, or even less.
(ii) The uncertainty in the log(A) has a random error due to the (eyeball) fit of the isochrone with
the appropriate metallicity to a given CM diagram of a cluster in question, and a quantitative estimate is obtained by jiggling brightward and faint-ward the isochrone curve until
a good fit of the lower main sequence produces
the DM . Then the age of the isochrone is varied until a good fit to the upper main sequence,
the TO, and the RC sequences is achieved. The
two isochrones shown in the CM diagrams of the
program clusters give a quantitative estimate of
this last error. Several different authors have
computed isochrones as function of the metallicity, and the physics behind seems to be well understood. One does not expect a large variation
in the log(A) error due to any uncertainty in the
physics, and the uncertainties of E(B − V ) and
(V0 −MV ) play a secondary role because the age
errors depend more on the form of the isochrone
curve and how it embraces the data (i.e., the the
upper main-sequence and TO regions and the
RC sequence) and, less significantly, on the reddening law (except perhaps the blue and nearultraviolet filters). More problematic is the case
when the TO region is not well defined (i.e., isolated from field stars) and/or the RC sequence
is not present. In our case, the errors for the
different colors of Table 8 reflect these uncertainties.
4. COMPARISON OF FUNDAMENTAL
PARAMETERS OF THE THREE CLUSTERS
The reddening values of our three clusters have
been compared to ones derived from the dust maps
of Schlegel, Finkbeiner & Davis (1998; hereafter,
SFD); these are based on the COBE/DIRBE and
IRAS/ISSA maps, and take into account the dust
absorption all the way to infinity. E(B − V )(ℓ, b)∞
values of our three clusters have been taken from
SFD maps using the web pages of NED8 . These
E(B − V )(ℓ, b)∞ values are 0.m 99 for Be 89, and
1.m 06 for both Ru 135 and Be 10. However, Arce &
8 http://nedwww.ipac.caltech.edu/forms/calculator.
html.
UBVRI PHOTOMETRY OF OPEN CLUSTERS
427
TABLE 9
FUNDAMENTAL PARAMETERS OF BE 89, RU 135, AND BE 10
(l◦ , b◦ )
E(B − V )
[mag]
[Fe/H]
[dex]
Z
(V0 − MV )
[mag]
d
[kpc]
log(A)
Isochrone
RGC
[kpc]
Reference
Be 89
83.16, +4.82
0.60
1.03
1.05
−0.35
−
−
+0.008
solar
solar
11.90
12.40
11.54
2.40
3.00
2.04
9.58
8.93
9.02
m8†
b4
g0
8.55
−
−
this work
Tadross 2008a
Subramaniam et al. 2010
Ru 135
16.42, +6.23
0.63
1.10
−0.71
−
+0.004
solar
9.58
11.33
0.81
1.85
9.58
8.70
m8
b4
7.72
−
this work
Tadross 2008b
138.62, +8.88
0.75
0.87
0.71
−0.49
−
−
+0.006
+0.008
solar
11.16
11.80
11.26
1.70
2.30
1.79
9.06
8.80
9.00
m8
g2
B4
9.84
−
−
this work
Lata et al. 2004
MN07
Cluster
Be 10
© Copyright 2010: Instituto de Astronomía, Universidad Nacional Autónoma de México
†
Isochrone sources: B4 = Bertelli et al. (1994); b4 = Bonatto et al. (2004); g0 = GBBC; g2 = Girardi et al. (2002);
m8 = MGBG.
Goodman (1999) caution that SFD reddening maps
overestimate the reddening values when the color excess E(B − V ) is more than ≈ 0.m 15. For the revision of SFD reddening estimates, the equations
of Bonifacio, Monai & Beers (2000) and Schuster
et al. (2004) have been adopted. Then the final
reddening, E(B − V )A , for a given star is reduced
compared to the total reddening E(B − V )(ℓ, b)∞
by a factor {1 − exp[−d sin |b|/H]}, where b, d,
and H are the Galactic latitude (Column 2 of Table 9), the distance from the observer to the object (Column 7 of Table 9), and the scale height of
the dust layer in the Galaxy, respectively; here we
have assumed H = 125 pc (Bonifacio et al. 2000).
Note that Galactic latitudes of our three clusters are
less than 10◦ . These reduced final reddenings are
E(B − V )A = 0.m 54 for Be 89, 0.m 36 for Ru 135, and
0.m 64 for Be 10.
For Be 89, our reddening value of 0.m 60 is in good
agreement with the value of 0.m 54 obtained from the
dust maps of SFD. For Be 10 our reddening value
of E(B − V ) = 0.m 75 is within about 1σ of the
value 0.m 64 derived from the SFD dust maps, and
for Ru 135, our reddening value of 0.m 63 differs by
about 2σ from the value of 0.m 36 obtained from these
SFD maps. These reddening values derived by different methods are in reasonable agreement with each
other, giving confidence to our results.
As can be seen from the summarized results
given in Table 9, the reddening value 0.m 60 found
here for Be 89 is smaller than the E(B − V ) =
1.m 03 of Tadross (2008a; hereafter T08a), and than
the E(B − V ) = 1.m 05 of Subramaniam, Carraro, & Janes (2010, hereafter S10). Our derived
distance modulus and distance for Be 89, [(V0 −
MV ), d(kpc)] = (11.m 90±0.m 06, 2.4±0.06), are smaller
than the values of (12.m 39, 3.00) of T08a and larger
than the (11.m 54, 2.04) of S10. Our inferred age
[log(A), A(Gyr)] = (9.58, 3.8 Gyr) for this cluster
is considerably older than (8.93, 0.85 Gyr) given by
T08a and larger than the estimate (9.02, 1.06 Gyr)
by S10. For the analysis of Be 89, T08a used JHK
photometry and the isochrones of Bonatto, Bica, &
Girardi (2004) with a solar metallicity. This is, partially, the origin of the disagreement between the two
age estimates, since our lower metallicity for Be 89
will necessarily lead to a larger age for a given TO.
Also, most probably, the differences are partially due
to the different procedural approaches for estimating
the fundamental parameters; we derive in a straightforward manner the estimates for the interstellar extinction and metallicity: by fitting SK82’s ZAMS to
the data in the (U − B, B − V ) diagram, by then
measuring the ultraviolet excess of the F-type stars
to derive a cluster metallicity, and finally using the
appropriate isochrones in CM diagrams to estimate
the true distance modulus and age of Be 89. Two parameters (reddening and metallicity) are estimated
in a CC diagram separately from the other two parameters (distance and age) from the CM diagrams.
S10 have also assumed a solar metallicity (Z⊙ ) for
their isochrones (from GBBC) and have used only
CM diagrams to estimate the reddening, distance,
and age of Be 89.
Previous results in the literature for Ru 135
are found in the work by Tadross (2008b; hereafter T08b), and for Be 10 in the papers by Lata
et al. (2004; L04) and Maciejewski & Niedzielski
(2007; MN07). Our reddening value E(B − V ) =
0.m 63 ± 0.m 12 for Ru 135 is significantly smaller compared to the reddening value of 1.m 10 given by T08b.
Also, our derived distance modulus and distance,
[(V0 − MV ), d(kpc)] = (9.m 58, 0.81), for Ru 135 are
significantly smaller than (11.m 33, 1.85), and our inferred age [log(A), A] = (9.58, 3.80 Gyr) is considerably older than (8.70, 0.50 Gyr), values by T08b.
© Copyright 2010: Instituto de Astronomía, Universidad Nacional Autónoma de México
428
AKKAYA ET AL.
In defense of the present results, our value for
E(B − V ) (0.m 63) falls between the value derived
from SFD (0.m 36) and the value of T08b (1.m 10); our
value is in much better agreement with SFD. T08b
used the solar-metallicity isochrones of Bonatto et
al. (2004), and his results are based on the comparison of isochrones to observed data in the J, (J − H)
and K, (J −K) planes of infrared photometry. These
differences between our values and those of T08b are
probably due mainly to the largely different values
for the interstellar reddening, but also to the difference in the assumed metallicities, to the use of different stellar models and isochrone sets, which make
use of differing input physics and colour-temperature
transformations, and to distinct photometric data
sets.
For the Be 10 open cluster, our reddening value
E(B − V ) = 0.m 75 is in reasonable agreement with
the value of E(B − V ) = 0.m 87 given by L04, and
in good agreement with E(B − V ) = 0.m 71 by
MN07. For the metallicity of the Be 10 cluster,
L04 adopt the Z = +0.008 isochrones of Girardi et
al. (2002), and MN07 adopt the solar isochrones
of Bertelli et al. (1994). From our two-color diagram, Z = +0.006 has been derived (see § 3.3),
which is in agreement, within the error bars, with
the value of L04. Our distance modulus and distance for Be 10, [(V0 − MV ), d(kpc)]= (11.m 16, 1.70)
differ from the values (11.m 8, 2.3) of L04, but very
little from the values of MN07, (11.m 26, 1.79). Our
inferred age [log(A), A] = (9.06, 1.08 Gyr) for this
cluster disagrees by almost a factor of two (0.5 Gyr)
with L04, but is in good agreement with MN07,
(9.00, 1.00 Gyr). Again, our interstellar reddening
for Be 10, E(B − V ) = 0.m 75 falls between the value
derived from SFD (0.m 64) and the value 0.m 87 by L04.
The age values in Table 9 have been compared
to ages estimated with the (age, ∆V ) calibration
given by Carraro & Chiosi (1994; their equation 3).
Note that this last calibration does not consider the
metal abundance of the cluster. Here, ∆V means
the magnitude difference between the RC and TO,
which is well known as an age indicator. Both open
clusters Be 89 and Be 10 have RC candidates (see
the CM plots for these two clusters, Figures 3–4,
and Figures 9–10, respectively). TO values occur
at V ≈ 16.m 5 for Be 89 and V ≈ 14.m 8 for Be 10,
whereas the RCs occur at V ≈ 15.m 3 and V ≈ 14.m 7,
respectively. From this age-∆V calibration of Carraro & Chiosi (1994), ages have been estimated as
log(A) = 9.1 (1.3 Gyr) for Be 89 and log(A) = 8.6
(0.4 Gyr) for the Be 10.
The average age values given by us, log(A) = 9.58
(3.8 Gyr) for Be 89 and log(A) = 9.06 (1.08 Gyr)
for Be 10 are somewhat older than the ones estimated from this relation of Carraro & Chiosi (1994).
However, these age differences are at least partially
explained by the sub-solar metallicities of these two
clusters ([Fe/H]= −0.35 dex for Be 89 and −0.49
dex for Be 10; see § 3.1, § 3.3, and Table 9). Lower
metallicities require larger ages for the same TO.
In Table 9 our results are summarized for Be 89,
Ru 135, and Be 10: Columns 1 and 2 contain the
cluster name and Galactic coordinates, respectively.
The resulting reddening, E(B − V ), is given in Column 3. The metallicity and heavy-element abundances, [Fe/H] and (Z), are given in Columns 4
and 5, respectively. True distance modulus values,
(V0 − MV ), and their corresponding heliocentric distances to the observer are given in Columns 6 and
7, respectively. Column 8 gives the average age (i.e.,
log(A); where A is in years), as derived from the five
CM diagrams. Different isochrones used by us and
by other authors are referenced in Column 9. Average Galactocentric distances are listed in Column 10.
The corresponding references from the literature are
listed in Column 11.
5. CONCLUSIONS
CCD UBVRI photometry of three poorly studied Galactic open clusters, Be 89, Ru 135, and Be 10,
has been analyzed, based on new SPM observations.
The fundamental parameters of reddening, metallicity, age, and distance of these open clusters have
been inferred and presented in Tables 7–9.
The interstellar reddenings and metallicities of
these three clusters have been determined from twocolor, (U − B, B − V ), diagrams prior to the use of
the CM diagrams. Heavy element abundances, Z, of
the three clusters have been found from the ultraviolet excess, δ(U − B), of the F-stars by comparison
with the two-color curve of SK82 (ZSK82 = Z⊙ ), by
using the normalizations of Sandage (1969), and by
applying the calibration, [Fe/H]-δ(0.6), of Karataş &
Schuster (2006), with the advantage of reducing by
two the number of free parameters of the isochrones
when fitting to the data in the CM diagrams. When
necessary, we have iterated slightly afterwards for
a better, more consistent, solution for the four cluster parameters (reddening, metallicity, distance, and
age). Deeper U frames would improve our determinations employing this method, which allows us
to estimate the reddening and metallicity independently using a CC diagram, in contrast to the exclusive fitting of isochrones to CM diagrams and the use
UBVRI PHOTOMETRY OF OPEN CLUSTERS
of the solar metallicity, which are the more common
techniques used in the literature.
© Copyright 2010: Instituto de Astronomía, Universidad Nacional Autónoma de México
The present adjustments of the SK82, CC relations to the MS and RC stars, and of the MGBG
isochrones to MS, TO, and RC stars in the CM diagrams show good consistency and appropriate fits
for all three open clusters, in the one CC diagram
and all five CM diagrams. Good consistency is seen
in the Figures 2–4 for Be 89, Figures 5–7 for Ru 135,
and Figures 8–10 for Be 10.
The CC and CM diagrams of Be 89 and Ru 135
suggest that they are metal-poor and old for their
location in the Galaxy, compared to other open clusters.
For Be 89, stars with V < 16.m 2 and (B − V ) ≤
0. 9 are most likely foreground or blue-straggler
stars. The blue-straggler and RC candidates in the
field of Be 89 need spectroscopic and/or astrometric
observations to test their cluster membership and to
elucidate their nature.
m
Similar candidates for blue-straggler or bright
foreground stars are seen in the CC and CM diagrams of Ru 135 and Be 10, Figures 5–7 and 8–10,
respectively. In the case of Ru 135 and for stars with
V fainter than about 14.m 2, the onset of the cluster
sequence in the CM diagrams is clearly seen. Objects
brighter than this limit and with (B − V ) ≤ 0.m 9 are
probably blue stragglers or bright foreground stars.
Despite its similar age to Be 89, no RC stars are
noticeable in the CM diagrams of Ru 135. On the
other hand, the CC and CM diagrams of Be 10 show
clear evidence for an RC grouping, although it is
somewhat younger than the other two clusters. The
lack of any RC stars in the CM diagrams of Ru 135,
contrasting with Be 89 and Be 10, may result either
from relative differences in mass segregation and our
emphasis on the inner regions of these clusters, or
from the poorness of these cluster fields and smallnumber statistics. Ru 135, being closer to the Galactic center, may be more perturbed and less dynamically relaxed than the other two clusters. Also, Be 89
and Be 10 each show only eight, or fewer, RC candidate stars, and it is not clear that all of these are in
fact cluster members.
For the typical accuracy of photometric observations (and we are no exception), the final error estimates are fixed by the accuracy of the cluster parameters as given by the systematic uncertainties in the
absolute-magnitude, intrinsic-color, and reddeningvector calibrations, for example, the adequacies, or
not, of the SK82 colors, the MGBG isochrones, and
the standard interstellar-reddening curve.
429
Finally, further radial velocity and proper motion information for these clusters will allow us to
clean with more assurance most non-members from
the CC and CM diagrams in order to obtain better
determinations of their physical parameters and to
better understand the nature of the blue-straggler
and red-clump candidates in these three open clusters. Deeper photometric observations, especially in
the U and B bands, will provide clearer, cleaner, and
more precise solutions from the CC diagram.
This work was supported by the Conacyt projects
33940, 45014, 49434 and PAPIIT-Universidad Nacional Autónoma de México IN111500 (Mexico). İA
acknowledges a grant from the Mexican Government
(Secretarı́a de Relaciones Exteriores). YK acknowledges financial support of the Scientific and Technical Research Council of Turkey (TUBITAK, BIDEB2219). This research made use of the WEBDA open
cluster database of J.-C. Mermilliod. We also thank
an anonymous referee for valuable suggestions and
comments that helped improve this work substantially.
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İnci Akkaya: Department of Astronomy and Space Sciences, Faculty of Arts and Sciences, Erciyes University,
Talas Yolu, 38039, Kayseri, Turkey (iakkaya@erciyes.edu.tr).
William J. Schuster, Raúl Michel, Carlos Chavarrı́a-K, and Roberto Vázquez: Observatorio Astronómico Nacional, Instituto de Astronomı́a, Universidad Nacional Autónoma de México, Apdo. Postal 877, 22800
Ensenada, B. C., Mexico (schuster, rmm, chavarri, vazquez@astrosen.unam.mx).
André Moitinho: SIM/IDL, Facultade de Ciencias da Universidade de Lisboa, Ed. C8, Campo Grande, 1749-016,
Lisboa, Portugal (andre@sim.ul.pt).
Yüksel Karataş: Istanbul University, Science Faculty, Department of Astronomy and Space Sciences, 34119,
Üniversite-Istanbul, Turkey (karatas@istanbul.edu.tr).