Issue |
A&A
Volume 509, January 2010
|
|
---|---|---|
Article Number | A104 | |
Number of page(s) | 12 | |
Section | Galactic structure, stellar clusters, and populations | |
DOI | https://doi.org/10.1051/0004-6361/200912961 | |
Published online | 27 January 2010 |
Analysis of the stellar population in the
central area of the HII region Sh 2-284
,![[*]](/icons/foot_motif.png)
A. J. Delgado1 - A. A. Djupvik2 - E. J. Alfaro1
1 - Instituto de Astrofísica de Andalucía, CSIC, Apdo 3004, 18080
Granada, Spain
2 - Nordic Optical Telescope,
Apado 474, 38700 Santa Cruz de La Palma, Spain
Received 22 July 2009 / Accepted 9 November 2009
Abstract
Context. There is a lack of state-of-the-art
information on very young open clusters with implications for
determining the structure of the Galaxy.
Aims. Our main objective is to study the timing and
location of the star formation processes which yielded the generation
of the giant HII region Sh 2-284. This includes the determination of
different physical variables of the stars, such as distance, reddening,
age and evolutionary stage, including pre-main-sequence (PMS) stars.
Methods. The analysis is based on
CCD measurements of a field of
containing the cluster, and JHK
photometry in the
subfield, centered in the apparent higher condensation. The
determination of cluster distance, reddening and age is carried out
through a comparison with ZAMS, post-MS and PMS isochrones. The
reference lines used are obtained from theoretical post-MS and PMS
isochrones from the Geneva and Yale groups for a metallicity of Z=0.004,
which agrees with the spectroscopic metallicity determination published
for several cluster members.
Results. The results amount to ,
(3.6 kpc),
(3.2 Myr). The distance result critically depends on the use
of low metallicity ZAMS and isochrones. A PMS member sequence is
proposed, with an age of
(4.7 Myr) which is therefore coeval within the errors with the
post-MS cluster age. The mass function for this population in the mass
range above 1.3-3.5
is well fitted by a Salpeter mass function. The presence of a different
star generation in the cluster with a distinctly older age of around
40 Myr is suggested. On the other hand, the NIR photometry
results indicate a large number of sources with (
)
excess, practically distinct from the optical PMS candidate members.
Conclusions. The analysis of our deep
photometry of Dolidze 25 therefore reveals a young cluster
with coeval MS and PMS populations of age 3.2-5 Myr. In
addition, a distinctly older cluster member population of the age of
40 Myr is suggested. The distance determined for the cluster
from quantitative fits to ZAMS and isochrones is distinctly lower than
previously published values. This result originates in the consistent
use of low metallicity models for ZAMS fitting, applying published
metallicity values for the cluster.
Key words: open clusters and associations: individual: Dolidze 25 - stars: pre-main sequence
1 Introduction
The open cluster Dolidze 25 (06h 45m 06s, +00
,
Epoch 2000) is one of the targets in our long term project on the
search for and characterisation of PMS members in young open clusters (Delgado et al. 2007, and
references therein, DAY-I in the following). The cluster was included
in their series of photoelectric studies by Moffat
& Vogt (1975) and Moffat
et al. (1979). A UBV CCD
photometric study was more recently published (Turbide
& Moffat 1993).
In addition to the general objectives of this project (DAY-I), Dolidze 25 presents in principle two additional features of interest. It is located in the Galactic anticenter direction and has been claimed to have a metallicity distinctly lower than the solar value (Fitzsimmons et al. 1992; Lennon et al. 1990). The cluster is therefore of special interest in our project because of the expected finding of PMS stars with low metallicity and possibly at large Galactocentric distances.
The low metallicity of the cluster would contradict the value
expected from the published values of the Galactic metallicity
gradient. Any of the published values obtained from B-type stars,
between -0.05 to -0.07 dex/kpc (Fu
et al. 2009), would require too large Galactocentric
distances for our cluster to reach the Lennon
et al. (1990) metallicity value. On the other hand,
recently published results (Przybilla
2008; Przybilla
et al. 2008) with an improved method of
spectroscopic analysis of B-type stars suggest a clearly tighter result
for abundances of B-type stars in the solar neighbourhood than those
found in previous works. The accurate abundances could be considered to
define the zero point of B-type stars metallicity at the solar
Galactocentric distance, which would imply necessary corrections of
previous values towards higher metallicities. We note however that
local metallicity variations with respect to an average gradient have
been reported several times (Pedicelli et al. 2009; Fu et al. 2009),
and the possible presence of discontinuities and slope changes
especially for large Galactocentric distances are still open.
In this context, the analysis of cluster parameters and the eventual
improvement of their values is of importance. The cluster was selected
as a target for one of the COROT
additional programs (Ripepi
et al. 2006). These authors performed VIMOS
observations at VLT, which revealed the presence of a large number of
emission line objects in the region (partial report
ftp://ftp.na.astro.it/pub/astrows06/presetazione-FCUSANO.ppt at
http://www.na.astro.it/;
http://earth-sciences.cnes.fr/COROT/A-corot-week.htm).
Finally, the cluster is located in the center of the giant H-alpha bubble which encompasses the HII region Sh 2-284. Thus the analysis of the stellar content of this field could help to understand the connection between the star formation processes and the physics of the ionized gas better. The Sh 2-284 region has been the object of a mid-infrared study with Spitzer IRAC bands (Puga et al. 2007). The analysis of these observations (Puga et al. 2009, P09 in the following) includes Dolidze 25 and addresses the properties of massive star formation in the region.
del07DAY-I pug09P09
In the present study we report UBVRIJHK observations centred in the Dolidze 25 cluster. In the next section we give an overview of the region. In Sect. 3 we describe the different data sets and the reduction procedures. Section 4 presents the optical results and a discussion of the determination of cluster parameters and cluster membership. Section 5 presents the near-IR results and IR-excess sources. Section 6 contains the discussion of the results, and finally the last section resumes the main conclusions.
2 Overview of the region
Dolidze 25 is located in the apparent centre of an IR dust
bubble pug09. In this article we focus on a photometric study in UBVRIJHK
of the central Dolidze 25 cluster and its inmediate
neighbourhood. In Fig. 1
we show the emission from the 8.0 m Spitzer/IRAC band (red) obtained from the
Spitzer archive and the H
emission (blue) from the AAO/UKST-H
survey (http://www.roe.ac.uk/ifa/wfau/halpha/) in a
area centred on the cluster. The fields covered by the
-ALFOSC and
the
-NOTCam images are outlined by
a larger and a smaller square, respectively. The projected circular
structure is formed by several knots and clouds of H
emitting material, thoroughly discussed in pug09. The image suggests a
radial connection of several features to the cluster center. We recall
here the presence of several arc-like structures, seen to the north and
south, and two particularly interesting more defined features. To the
north-east we see structures resembling broad arrow peaks, and to the
west, a structure which very closely resembles a forefinger directly
pointing to the central cluster, resembling the so-called elephant
trunk features observed in some nearby star forming regions. All these
structures seem to be geometrically related to the centre, the location
where Dolidze 25 lies.
![]() |
Figure 1:
Colour composite of |
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3 Observations and models
3.1 UBVRI photometry
Deep
imaging was made with ALFOSC at the 2.6 m Nordic Optical
Telescope (NOT) during available slots in the nights 25, 26 and 28 of
December 2006, and the field was calibrated with photometric standards
on the photometric night of the 21 of February 2007. The detector was a
13.5
m
2024
2024 pixel back-illuminated E2V CCD, covering a FOV of 6.5'
with a pixel scale of 0.19''.
The image reduction was carried out with adequate routines in
the IRAF package. In every filter both short and long exposure times
were secured to cover a brightness range as wide as possible. The long
exposure times were 2700, 1800, 1800, 1800, and 3 900 s,
for UBVRI, respectively. The final instrumental PSF magnitudes
were obtained from the respective frames, computing average values for
the stars in common in both exposures. These final magnitudes
are then best calibrated by direct correlation to published UBV
observations. In the present case, we used the published CCD UBV
colors (Turbide & Moffat 1993)
rather than the available photoelectric magnitudes by Moffat & Vogt (1975), which
coincide only partially with our field. The (V-R)
and (V-I) colour indices were
calibrated with the catalogued values for eight standard stars observed
in the Landolt (1992) region
Rubin149.
The uncertainties of our standard indices are calculated as the root
mean squared deviations of the averaged O-C values for the different
colour indices. They amount to 0.05 mag in V,
(U-B) and (B-V),
0.01 mag in (V-R) and
0.02 mag in (V-I).
3.2 JHK photometry
Deep near-IR imaging was obtained with NOTCam
at the NOT on the 14 of January 2006. The detector, a
m
Hawaii array, the first Science Grade Array for NOTCam (SWIR2), was
available in the period October 2005 to May 2006. Its gain was
2.2 e-/adu and the readout noise
15 e-. The detector was found to be
linear to within 1% up to 30000 adu, with saturation starting at
54 000 adu. About 2% of the pixels were bad, but mainly along
the edges of the detector. With this array the zeropoints for NOTCam
were 24.02, 23.97, and 23.33 mag (for 1 e-/s,
and Vega magnitudes) in the bands J, H,
and
,
respectively. We used the wide field camera (0.234''/pix,
fov = 4') and the broad band filters J,
H and
with central wavelengths at
1.247, 1.632, and 2.140
m,
respectively, to map the central part of the cluster in a 3
3
dither pattern. Exposing
s
9 pointings
3 repetitions
gave 162 images and a total on-source integration time of
972 s per filter.
We used the IRAF package and a set of our own scripts to mask
bad pixels, subtract the sky background and flatfield the images using
differential twilight flats taken on the same night. After image
registration, combination and trimming, the final image size is reduced
to
(see Fig. 6).
Point
sources were extracted from the final image of each filter using daofind,
and aperture photometry was made with an aperture radius of the order
of the FWHM of the PSF. The flux loss in the PSF
wings was corrected for by evaluating an aperture correction for each
band on a few bright and isolated stars (with errors
<0.014 mag for all bands). Errors related to
flat-fielding were found to be 0.013, 0.012 and 0.015 mag in
,
respectively. The above errors are added in quadrature to the error
outputs from the IRAF task phot to give
conservative measurement errors. We reach down to
magnitudes
of 21.2, 20.0, and 19.5, respectively, with errors
<0.30 mag. The median errors in
are 0.047, 0.040, and 0.044 mag, respectively, for the whole
sample. The limiting magnitudes when requiring the total measurement
errors to be <10%, are 19.7 mag, 18.9 mag, and
18.6 mag in J, H, and K,
respectively. We recall that the observations consist of multiple short
integrations, obtained in worse than average seeing conditions (
in K). We estimate completeness down to at least J
= 18 mag, H = 17.5 mag, and K
= 17 mag.
The 2MASS point source catalogue (Skrutskie
et al. 2006) was used to calibrate both astrometry
and photometry, and in regions not covered by NOTCam we used the 2MASS
fluxes. We identified 85 common sources and made a plate solution of
the NOTCam images with an rms in RA and Dec of 0.15''
and 0.14'', respectively. All sources were cross-correlated
with the 2MASS catalogue using the task tmatch
with a search radius of 0.5'' (>3 times the rms). The
fluxes were calibrated using the 19 stars that satisfy the
following three criteria: 1) K <
14 mag; 2) have 2MASS ABCD flags;
and 3) not being YSO candidates, neither IR-excess
sources (see Sect. 5)
nor optically determined PMS stars (see Sect. 4.2.3). The
difference magnitudes of these 19 stars (NOTCam -
2MASS) were found to have a standard deviation of 0.06 mag for
J and K and 0.04 mag
for H. Three bright stars (WEBDA id 15, 17,
and 23) have fluxes exceeding the 1% linear range of the
detector, and we therefore do not include their NOTCam
measurements in the table of photometric results.
3.3 On-line table of UBVRIJHK photometry
In Table 1 (only available at the CDS) we list our photometric
UBVRIJHK results in the observed fields.
Table 1 contains 1673 sources, sorted by ascending
RA, and
the columns give: Our ID number, WEBDA ID number, 2MASS name, RA, Dec,
both in degrees,
U-B, ,
B-V,
,
V,
,
V-R,
,
V-I,
,
J,
,
H,
,
,
,
MEM, IREX. The column MEM shows membership (1 = young MS and post-MS
member, 2 = old MS and post-MS member, 3 = PMS member according to
3 CM diagrams, 4 = PMS member according to 4 CM
diagrams); see Sect. 4
for details. The column IREX defines the possible presence of IR excess
(0 = no IR excess, 1 = probable IR excess, 2 = bona fide IR excess),
for details see Sect. 5.
3.4 Low metallicity ZAMS and isochrones
The low metallicity of Dolidze 25 makes it necessary to consider the consequent changes of the photometric indices. Mainly the value of the absolute visual (MV) magnitude is affected by changes in metallicity, and its variation has been formulated as a linear dependence on metallicity for a given (B-V) colour (Vandenberg & Poll 1989). For the analysis of Dolidze 25, in absence of empirical or semi-empirical ZAMS for metallicities lower than solar, we use theoretical ZAMS and isochrones computed for the corresponding metallicity and transformed to the observational plane.
In addition to the differences between models, originating in
the consideration and treatment of the various physical processes
involved in the evolutionary calculations, it is this transformation to
observable colours that introduces the largest differences between the
different models (Lejeune &
Schaerer 2001). To maximise the internal consistency of our
results, we adopt reference lines transformed with the same calibration
formulae to the observed colours. We use the post-MS Geneva isochrones (Lejeune & Schaerer 2001) and the Yale PMS
isochrones (Yi et al. 2001)
in the Y2
model set, namely those
translated to the observational plane with the colour transformation by
Lejeune et al. (1998).
In both cases, the metallicity tracks for Z=0.004
are used as given for the cluster by Lennon
et al. (1990).
Neither the Geneva nor the Y2 models contain a nominal ZAMS line. We
use here a composite curve, obtained from the Geneva isochrone of age
1000 yr for colours bluer than (B-V)=0,
and the Y2 isochrone of the age of 40 Myr for a redder (B-V)
colour. We refer to this ZAMS line as ZAMS-Z004 in the considerations
below.
Finally, the Y2 models show that the colour-colour (CC) relation for
PMS isochrones deviates from the ZAMS line, especially for spectral
types later than B0, a deviation which is larger the younger the
isochrone age. The particular (U-B),(B-V)
relation for each isochrone is then used to compute colour excess
values, used afterwards in the computation of visual absorption and
corresponding distance modulus with respect to this PMS isochrone.
4 Results of UBVRI imaging
4.1 Reddening law towards Dolidze 25
As explained in del07, the determination of cluster parameters starts
with the selection of bona-fide unevolved MS members on the basis of
the photometric colours with the help of membership assignments by
other authors and the eventual use of spectroscopic observations. The
application of the method requires an assumption of the reddening slope
used
to shift the stars in the colour-colour (CC) (U-B),(B-V)
diagram. Once a reliable sample of non-evolved MS members is selected,
they can be used to estimate the absorption coefficient RV=AV/E(B-V),
appropiate for the extinction law in the direction of the observed
field. This value of RV
is used in the calculation of distance modulus.
Turbide & Moffat (1993)
derive
from a simultaneous fit of solar metallicity isochrones to their
selected members in the V,(U-B)
and V,(B-V)
CM diagrams, with distance modulus, age, E(U-B),
and E(B-V) as
fitting parameters.
![]() |
Figure 2:
The variance of ZAMS fitting to unevolved members in CM diagrams is
plotted as a function of |
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We have performed a similar fit, but only to the ZAMS, and using stars
that can be considered little evolved, constant reddening members. The
sample consists of seven stars, five of them among the members by Turbide & Moffat (1993), and
our four best candidates to non-evolved MS members (actually two of
them are also included in the Turbide
& Moffat (1993) members sample). Calculations are
carried out for ZAMS of solar metallicity (Aller
et al. 1982) and of Z=0.004
(ZAMS-Z004 described above). Once a reference line and a reddening
slope
are chosen, the absolute magnitude MV,
and color excesses E(B-V)
and E(U-B)
are determined. The average V-MV
and colour excesses are used to shift the ZAMS lines in the CM
diagrams. For each
,
we calculate the quantity
,
where
is the distance of every star to the shifted ZAMS in either CM
diagram and N is the number of stars. This quantity
is plotted versus
in
Fig. 2.
We see in this plot that a minimum is attained for
when ZAMS-Z004 are used, whereas for the fitting to solar metallicity
ZAMS, the result of Turbide &
Moffat (1993) would be recovered.
The colour excesses of the unevolved MS stars, obtained with
are then used to calculate E(V-I)
from the (V-I), (B-V)
CC diagram and the absorption coefficient
.
The result RV=3.10
coincides with the value characteristic for an average Galactic
extinction (Cardelli et al. 1989),
and is then adopted together with
to calculate colour excesses and distances for the cluster stars.
![]() |
Figure 3:
Selection of upper MS member stars. The left panel
shows all stars with a measurement in all |
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![]() |
Figure 4:
Comparison of upper cluster sequence to isochrones in the CM diagrams.
The ZAMS line for Z=0.004 (continuous line. See
text) and Geneva isochrones for the same metallicity and
Log Age(yr) 7.0, 7.2, 7.5 and 8 (dotted lines, from
left to right in each panel) are plotted. Circles are stars
adopted as unevolved MS members. Crosses are stars adopted as post-MS
members. Among them, crossed squares are those stars considered to
estimate the age. The position of stars labeled a-d is commented in the
text. A quantitative comparison (see text) gives |
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4.2 MS membership, distance and age
4.2.1 Unevolved MS members
To select reliable unevolved MS members we use a method that combines
all colour indices from the
photometry del07. Figure 3
illustrates this selection. In the left panel we plot the upper part of
the V,(B-V)
CM diagram, including all stars with measured values in all five
bands. A dashed-line ellipse describes the region of the diagram where
the non-evolved MS cluster members are expected, if any. The
simultaneous location of stars inside similar regions in all four CM
diagrams, together with their consistent location in the
CC diagram, results in the sample marked with circles in both
panels of Fig. 3.
In the right panel we represent the quantities
versus MV,
only for stars brighter than V=18 to make the plot
clearer. A straight line for DM = 12.8 is plotted as
an indication. In this right panel we observe the presence of
foreground and background star groups, respectively, below and above
the distance modulus value described by the selected unevolved MS
members. Three of these appear to have a relatively lower distance
modulus and are no longer considered. The final sample considered for
the calculation of cluster distance modulus are those stars plotted as
filled circles. In both plots, crosses represent the stars adopted
as post-MS members (Turbide
& Moffat 1993; Moffat et al. 1979), to be
considered in principle for the estimation of post-MS age.
4.2.2 Colour excess, distance, and post-MS age
The average values and rms deviations of colour excess and distance
modulus for the unevolved MS members amount to ,
.
They are used as reference values to estimate membership for the
remaining stars, following the procedure explained in detail in del07.
An estimate of the post-MS cluster age is obtained from the
comparison to post-MS isochrones, where we use the set of models from
the Geneva-isochrones for Z=0.004 and solar
mixture. The comparison is illustrated in Fig. 4, where the
upper CM diagrams V,(U-B),
V,(B-V), V,(V-R),
and V,(V-I)
are plotted, with an indication of the selected unevolved MS- and
post-MS members (see Fig. 2). To avoid the possible influence
upon these diagrams of binarity (Golay
1974) or emission lines (Mermilliod
1982), we restrict our comparison to the two stars marked
with crossed squares in the figure. The extrapolation in each diagram
to the age value, which would exactly reproduce the locations of both
stars, gives eight formal age values, one for each star in every one of
the four CM diagrams. The average and rms deviation of these values
amount to ,
or
Myr, in good
agreement with the age values (3.8 Myr) for
Dolidze 25 and its associated H II
region, quoted in pug09.
We note the significant difference between our distance result and the published distances for the cluster, which are around D=5.3 kpc (Moffat & Vogt 1975; Turbide & Moffat 1993), a difference which originates mainly in the use of low metallicity ZAMS in the distance estimate.
The effect of metallicity changes upon the cluster distance was discussed by Turbide & Moffat (1993), considering the expected variations due to a Galactocentric metallicity gradient. The key point here is however the low metallicity value obtained by Lennon et al. (1990), Z=0.004, which does not follow the predictions of any gradient, as mentioned above. The question actually concerns absolute abundances rather than relative ones. We recall in this context the results by Przybilla et al. (2008), who obtain much tighter results than previous works for B-type stars abundances in the solar neighbourhood. These results suggest that previous metallicity measurements are systematically too low, but the precise value of this offset and its application to stars located far outside the Solar radius is not clearly established. We therefore prefer not to adjust the metallicity value. We note that a ``best guess'' offset would change our distance estimate from 3.6 to 4.0 kpc and leave the rest of our conclusions essentially unchanged.
4.2.3 PMS membership and age
The remaining stars are now studied on the basis of the adopted values of distance and colour excess. The method has been explained in detail in del07. It consists in comparing colour excesses and distance moduli of each star with the average values obtained for the unevolved MS members. Distances are measured with respect to ZAMS and with respect to PMS isochrones from the Y2 set, for metallicity Z=0.004, and ages from 1 to 10 Myr. In this way, each star is assigned several pairs of values of colour excess and distance and is considered as either an MS or PMS member, when one of these pairs agrees with those obtained for the unevolved MS members. Photometric uncertainties are considered in this assignement, and allowance is made for colour excesses well above the average of the values for unevolved MS members (see del07).
![]() |
Figure 5:
The J-H/H-K
diagrams for the two near-IR datasets used.
Left: the |
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From these comparisons, a star can be assigned as a member with respect
to several PMS isochrones, whose mean age value provides an age
estimate for the PMS candidate. The age and uncertainty of the
candidate PMS sequence is then obtained from the average value of the
ages obtained for all candidates and its rms deviation. This operation
results in the value .
The observed PMS sequence seems therefore to be coeval with the more
massive MS members, in contrast with evidence found in other young
clusters (Delgado
et al. 2006,2004,2007, and references therein), where
cases of PMS sequences both younger and older than the corresponding MS
members are found.
5 Results of the JHKs imaging
5.1 Near-IR excess sources
The J-H/H-K
diagram for 651 sources in the 3.5' field of deep JHK
imaging with NOTCam (see Fig. 6) is shown in
the left panel of Fig. 5.
The loci of main-sequence, giant and supergiant stars (Koornneef 1983) are indicated with
bold curves. A reddening slope of E(J-H)/
E(H-K) = 1.6
is calculated based on the NOTCam
filter passbands (cf. Sect. 3.2) and using the
parametrisation of the near-IR extinction law (Whittet
1988). The majority of the sources are clustered around
the loci of main-sequence and giant stars and only marginally displaced
along the reddening vector, which agrees with the average low
extinction over this area as estimated in Sect. 4.1 (AV
= 2.4 mag, AK
= 0.24 mag).
Sources located to the right and below the reddening line in
the
J-H/H-K
diagram - i.e. the above calculated reddening vector fixed
for an A0 star - have excess emission in the near infrared. In order to
account for the uncertainties in the observed colours, we define as bona-fide
IR-excess sources those located in this area and separated from the
reddening vector by more than 2
of the individual errors in the colour indices J-H
and H-K (see Sect. 3.2). Those sources
that are separated from the reddening vector by a distance of between 1
and 2
only are designated probable IR-excess sources.
For the
deep field we extract a sample of 29 bona-fide and 26 probable
IR-excess sources. With this relatively conservative criterium we
will not sample all the IR-excess sources.
Because deep
imaging was obtained in only part of the
field studied in the optical (see Sect. 4), we have
used the 2MASS point source catalogue to search for IR-excess sources.
Using the same near-IR extinction law as above, the reddening slope E(J-H)/E(H-K)
becomes 1.78 because of the slightly different
filter passbands for the 2MASS survey at
1.24, 1.66,
and 2.16
m,
respectively. The J-H/H-K
diagramme for the 310 sources with ABCD flags is shown in the right
panel of Fig. 5.
We have applied the same selection criterium for near-IR excess as
above. For the
field we find using 2MASS a total of eight bona-fide and 20 probable
IR-excess sources. In this diagram we also mark those cluster members
found from optical photometry that have IR-excesses.
In both samples the fraction of IR-excess sources with respect to total
number is about 8-9%.
![]() |
Figure 6:
RGB image of the NOTCam deep |
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We consider it a sufficient condition for an IR-excess source to have measurable IR-excess in one of the epochs, and we conclude that the combination of NOTCam and 2MASS data yields a total of 81 IR-excess sources (55 from NOTCam plus 28 from 2MASS minus 2 overlapping). Thus, the lack of overlap between the two sets of IR-excess sources is explained in terms of sensitivity difference (i.e. difference in error bars) and most importantly: intrinsic source variability. Variability is expected for young stars and is often used as a criterium of stellar youth; see e.g. Kaas (1999) for a study of the efficiency of this criterion compared to that of IR-excess for membership assignment in a young embedded cluster.
5.2 Cluster membership of near-IR excess sources
The excess emission in the near-IR is attributed to thermally radiating
hot circumstellar dust. Determined by the temperature distribution of
the dust particles, a superposition of blackbodies is produced, giving
an excess flux at IR wavelengths compared to the spectral energy
distribution (SED) of a naked star. Whether the dust is spatially
distributed in a disc (typical for Classical T Tauri stars) or
more spherically distributed (typical for protostars) is reflected in
the shape of the SED towards the mid-IR. With only
photometry for this region we cannot say much about the distribution of
the dust, only about its possible presence. Because the typical number
fraction of protostars with respect to PMS stars with discs is about
1/10 in young clusters, we statistically expect our population of
IR-excess YSOs to be dominated by Class II sources. We cannot
exclude, however, that some of our IR-excess sources may be protostars
of Class I type.
![]() |
Figure 7: K-band histogram of all sources in the 3.5' field (continuous histogram) compared to the histogram of K-band counts according to the Besançon Galaxy model (dotted histogram). Circles show the number of extragalactic sources (Table 4 in Barro et al. 2009) scaled to our field size and corrected for a cloud extinction of AK = 0.24 mag. |
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In Fig. 7
we plot the K band histogram of all our
observed sources in the deep
field as well as that calculated from the Besançon model of our Galaxy (Robin et al. 2003). In
order to compare these numbers to the expected K-band
counts of extragalactic origin, we have used the average values of the
deep fields presented in Table 4 of Barro
et al. (2009).
Their numbers were scaled down to the size of our field and corrected
for cloud extinction (
AK
= 0.24 mag) by shifting the values a quarter of a bin size to
the right. From the figure it is evident that our observations are
complete to around K = 17.5 mag. The level
of extragalactic contamination in this bin is only
7% and
cannot explain the excess of observed counts compared to model counts.
In the magnitude range of
18 < K < 19 mag, however, it
is possible that
20%
of our source detections are distant galaxies.
How the above percentages translate to percentages in the IR-excess sample is not obvious. Examining the map of cluster member candidates, however, we find that the faintest IR-excess sources are preferentially located in the central part of the image following the higher spatial density in general. Thus it is unlikely from the spatial distribution that the IR-excess sample in the magnitude range of 17 < K < 19 consists of extragalactic sources, but we note that although we list our 81 IR-excess sources from Sect. 5.1 as YSO candidates, there is a probability in the faintest bins of extragalactic contamination possibly of the order of 10-20%.
5.3 Comparison with optically selected cluster members
A total of 104 pre-main-sequence (PMS) members were found in the
area covered by our UBVRI photometry (see
Sect. 4.2.3).
There are 2MASS counterparts with ABCD flags in all bands for 57 of
these, of which only five have IR excess (see right panel of
Fig. 5).
Thus less than 10% of the optically selected PMS members that are also
detected in
with
2MASS are found to exhibit excess emission in the near-IR. Inside the
small deep field there are 31
optically selected PMS stars, of which only three have IR excess.
Only 19 of the 62 IR-excess sources are optically visible in the V band - a necessary condition for our optical PMS selection. There are only three sources with both PMS and IR-excess classification in this field (these have ID numbers 468, 903, and 1563 in Table 1). Thus only 3/19 or 16% of the IR-excess sources that are optically visible are classified as PMS members in our optical study. It is clear from the left panel of Fig. 5 that practically all optically selected PMS stars are found quite near the loci of main-sequence stars in the J-H/H-K diagram and definitely to the left of the reddening line.
The fact that most of the optically selected PMS stars are found without signs of optically thick circumstellar discs, is explained either because they are so evolved (or independently of age they have lost their circumstellar material), or because the IR imprints of the discs are not detectable in the near-IR. It is well known from mid-IR studies (e.g. Kaas et al. 2004) that only about 50% of the IR-excess sources in young embedded clusters show up with excesses in the J-H/H-K diagram. In the case of Dolidze 25, which is not really embedded, it is possible that only around 16% of the optically visible PMS stars have discs, but this can only be assesed using mid-IR photometry.
Using two different photometric methods we have two samples of
PMS
cluster members with very little overlap. The optically selected
PMS stars have a magnitude range of
12.6 < K < 16.6, i.e. they are all
relatively bright in the near-IR. The near-IR excess sources on the
other hand span the larger magnitude range of
12.6 < K < 19.2with a median at K
= 17.8 mag. Thus, in general they comprise a fainter
population, see Fig. 8.
Correcting for average
extinction (
AK
= 0.24 mag) and distance (
mag) we get
absolute magnitudes from
-0.4 < MK
< 6.2 mag for the IR-excess
sources. Assuming a typical age of 2-3 Myr for the IR-excess
sources, the sub-stellar limit is around MK
= 5.5 mag according to PMS evolutionary tracks (Baraffe et al. 1998). The
mass range of the IR-excess population extends thus to well beyond the
brown dwarf limit, while
our completeness estimate at
K=17.5 mag
corresponds to MK=4.5 mag
only.
This statistical result shows that the optical photometric method and the near-IR excess method sample different PMS populations, possibly with an age difference, but not necessarily so. The multi-wavelength approach covering both optical and near-IR bands in photometric studies of clusters is advantageous because the two methods are complimentary. This same conclusion was drawn from a similar type of study of the double cluster in Sh2-294 (Yun et al. 2008).
![]() |
Figure 8: K-band histogram of the two samples of young cluster member candidates: optically selected PMS stars (dotted line) and IR-excess sources (continous line). |
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6 Discussion
6.1 Characteristics of the Dolidze 25 cluster
A deep UBVRIJHK photometric study of the
Dolidze 25 cluster, in a
6.5' field centred around the B1 stars TYC 148-2558-1 and
TYC 148-2577-1, SIMBAD names for our ID 1060
and 1362, i.e. WEBDA 17 and 15 (Moffat et al. 1979), is
presented in the previous sections. This field covers an area of almost
pc,
using our new distance estimate of 3.6 kpc described in
Sect. 4.2.2.
The analysis of cluster membership resulted in a total of 214 candidate
cluster members: 35 main-sequence (MS) and post-MS members, 104
optically selected pre-main sequence (PMS) members, and 81 IR-excess
sources, probably young PMS stars with circumstellar discs (Class II
sources), although Class I sources can not be excluded. Six of the
IR-excess sources coincide with optically selected PMS stars.
6.2 Age estimates
The membership analysis of the central Dolidze 25 cluster shows a young generation of stars of around 3-5 Myr, with a rich population of PMS candidate members, coeval to the upper massive MS stars. However, this analysis also reveals the presence of older stars, which are selected as MS members of a lower mass and luminosity than the selected PMS candidates. This suggests the presence in the cluster of two generations of stars. In this hypothesis, the four member stars labeled with a to d in the left panel of Fig. 4 can be interpreted as the evolved upper sequence of the older star generation. To illustrate this point we show a comparison in Fig. 10, where the V,(B-V) diagrams of these suggested generations are plotted separately.
The main indication that supports this suggestion is the
presence of low mass MS candidate members, together with the very good
visual fit of the older isochrone to the redder post-MS stars. A formal
age calculation for the
older post-MS stars in the right panel of Fig. 10, performed in
the way explained in Sect. 4.2.2, gives .
On the other hand, MS candidate members in the V
range 16-18 mag could belong to both generations, and some of
them could indeed be PMS stars approaching the MS. Even some of the
faint MS members (V > 18), namely those with
redder (B-V) index (Fig. 10, right
panel), could also be the last signs of a PMS sequence in the older
star generation. The precise status of each star cannot be ascertained
here, since all candidate members are at the same distance, and with
comparable colour excess: these are actually the criteria to propose
them as cluster members. A detailed spectroscopic study, aiming at the
simultaneous determination of spectral type and radial velocity for
these stars (Delgado
et al. 2004,1999) is planned as the appropiate
tool to confirm the suggested age structure.
In this context we remark that the indications of age spread and sequential or continued star formation in young clusters are widely reported in the literature (i.e. Delgado et al. 2007; Subramaniam et al. 2006; Bhavya et al. 2007, and their references). Evidence of episodic and sequentially triggered star formation has been suggested in large forming regions of the Small Magellanic Cloud (Carlson et al. 2007; Sabbi et al. 2007), and NGC 6946 (Sánchez Gil et al. 2009; Larsen et al. 2002). The interesting point in the present case, if confirmed, is the presence of two star generations in the same place.
The interpretation of the stars labeled a-d in Fig. 4 as evolved cluster members requires some comments. Their location in the V,(V-R) and V,(V-I) CM diagrams supports this hypothesis, which is however contradicted by the position of the stars in the V,(U-B) CM diagram (see Fig. 4). In this last diagram, the comparison to isochrones under the assumption that they are evolved cluster members, suggests an age of at most 15 Myr. One possibility to solve the discrepancy is to assume that they indeed are as young as indicated by their (U-B) colour, while the other three colour indices would just reveal either simple reddening, with a peculiar reddening slope, or some colour excess, which increases towards redder indices.
In the line of considering these stars younger than proposed here, we might recall recent results on massive young clusters, where the presence of a noticeable supergiant population is argued (Clark et al. 2009; Alexander et al. 2009). The assumption that the brightest stars in our CM could indicate such a population would result in a distance from them of around 7 kpc, which would discard them as cluster members, even under a consideration of the largest distance estimates given for Dolidze 25 in the literature.
On the other hand, the presence in these stars of colour excesses which are larger for redder colours is also uncertain. It is contradicted in any case by our NIR results, in which none of the proposed post-MS candidates appear to exhibit NIR excess (see Sect. 5). This lack of NIR excess also weakens the suggestion of a redder binary companion which would show up in redder colour indices. The performance of adequate spectroscopic observations is needed to elucidate among these possibilities, including the one put forward here, which considers the presence of two generations of stars in the cluster.
![]() |
Figure 9: Sky map of the observed field (north up and east left). V-band magnitude is coded with dot size. The location of MS and post-MS stars of the younger generation (cyan circles) and of the older generation (blue circles), optical PMS candidates (black squares), and IR-excess sources (red diamonds) are shown. Note that the IR-excess source selection has a higher sensitivity in the smaller area covered by NOTCam. |
Open with DEXTER |
![]() |
Figure 10: V,(B-V) diagrams with indications in the cluster members assigned to two generations of stars at different ages. In both panels, all stars are represented with small dots. In the left panel, proposed young members (3-5 Myr) are plotted, with post-MS (crosses) and MS members (circles), and PMS members assigned in at least three CM diagrams (squares). Cluster members in the older generation are plotted in the right panel, with the same meaning for the symbols. ZAMS-Z004 line (continuous thick), 10 Myr isochrone (continuous thin), and PMS isochrones of ages 1 and 10 Myr (broken) are plotted and labeled in the left panel. The same ZAMS and the 45 Myr isochrone are plotted in the right panel. |
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Table 2: The 35 MS and post-MS members found in our analysis of a 6.5'wide field.
6.3 Spatial distributions
![]() |
Figure 11: The number of pairs as a function of separation (in arc seconds), a measurement of the clustering properties of a population, is shown in histograms. Top: the optically selected PMS stars comprise the large population in the white/open histogram, the IR-excess sources are shown as red/filled histogram, and the total population of MS and post-MS stars in the small white/open histogram. Bottom: the total MS and post-MS population is shown in the white/open histogram, the older population in the orange/bold line histogram, and the younger population in the blue/filled histogram. |
Open with DEXTER |
The spatial distribution of the various cluster members is shown in
Fig. 9,
overlaid on an R-band image, the different colours
and symbols distinguishing different populations. The MS and post-MS
members have a clear zone of avoidance towards the south-west,
otherwise they are few and relatively scattered. The IR-excess members
seem to have a preference along a SE-NW diagonal belt with an enhanced
surface density around ID 1362, which appears to be at the
approximate cluster center (see also Fig. 6, the area
over which we have deep
imaging). There is an enhanced number density of sources both in the
optical and near-IR images along the SE-NW diagonal belt. There seem
to be no apparent spatial preferences among the optically selected PMS
stars.
We calculate the distribution of separations of pairs of members within the different sub-groups, a way to quantitatively assess possible clustering properties (Kaas et al. 2004), although projected in the plane of the sky. In Fig. 11 we show in histograms the number of pairs versus separation (in arc seconds). Strong peaks in this distribution indicate the scale of clustering or sub-clustering of the population, or more correctly: the approximate size/diameter of the densest region. The upper panel shows the distribution of pairs of optically selected PMS stars (largest group), IR-excess sources (medium group), and all MS and post-MS sources (small group). For the optically selected PMS stars there is a small peak around 160'', translating to about 3 pc using our distance estimate of 3.6 kpc, but the distribution is broad and indicates that the optically selected PMS stars are in general quite scattered. The IR-excess sources, on the other hand, have a much more pronounced peak, located at 90'' or 1.6 pc. We note that the deep near-IR study was made in a smaller field, and only the shallower 2MASS survey could be used for the whole area, so that the histogram should not be considered beyond 210'' for this group. There seems to be a clear tendency of clustering of this population.
The MS and post-MS population, which is a comparatively small group, is seen to have a relatively flat distribution in the upper panel. When separating the total MS and post-MS population into the two age groups suggested in the previous section (approximately 5 Myr and 40 Myr), we see that the spatial distribution of the two is distinct. The younger generation (blue/filled histogram) is slightly more clustered, i.e. the distribution peaks at a smaller scale than the older generation (orange/bold line histogram). The young generation of MS and post-MS stars peaks around the same scale as the IR-excess population.
Although the number statistics is relatively small, this gives
an independent support to the hypothesis of two different generations
of MS and post-MS stars suggested by isochrone fitting and described in
Sect. 6.2.
The spatial distribution of a cluster population is expected to become
more dispersed with time. Assuming a typical stellar velocity
dispersion of <1.5 km s-1
found for old (>108 Myr) open
clusters (Lohmann 1972), one
might expect 40 Myr old stars to have moved quite some
distance away from their birth place. We also note that much larger
velocity dispersions have been found for the young clusters
NGC 2244 and NGC 6530 of 35 and
8 km s-1, respectively (Chen et al. 2007). Thus,
part of the older population could be located outside
the 7 pc wide field studied by us, but only a proper
motion study will reveal the velocity dispersion in
Dolidze 25.
6.4 Mass function
The quantitative measurement of ages described in Sect. 4.2 above provides mass estimates for the assigned cluster members, both from the ZAMS and post-MS isochrones, and from the PMS isochrones as well. These mass values are averages of the values read from the corresponding reference lines, and are calculated in the same way as the age estimates.
We apply here these calculated mass values to illustrate the properties of the cluster mass function. In Fig. 12 we plot the logarithm of the number of stars of mass value versus the logarithm of the star mass, in units of solar masses. The break down of the function at masses below 1.3 solar masses is probably due to an underabundance of low mass stars, but other factors, such as the incompleteness of the detected sample could be present, and we do not discuss this feature further. On the other hand, the overabundance of massive stars is probably due to the consideration of all MS and post-MS stars in this function without distinction of the argued presence of two different star generations. In fact, no differences in mass function depending on metallicity are expected at these high masses (Bate 2005).
The slope at masses above 1
should otherwise be more reliable in view of the colour excess and
distance derived for the cluster and the expected brightness range
covered by these stars, which allow one to expect a higher degree of
completeness in the cluster members detection. In this figure we note
the present sequence of assigned candidate PMS members, with a mass
function very well reproduced by a Salpeter mass function slope (-2.35
in the plot of the figure).
![]() |
Figure 12:
Mass function for the candidate members in Dolidze 25. The
models of Lejeune & Schaerer
(2001) and Yi et al.
(2001) for Z=0.004 have been used to
estimate membership and calculate masses for the assigned members. Mass
functions of PMS candidates (dashed curve) and all members (dotted
curve) are plotted. The continuous straight line reproduces the slope
of the Salpeter IMF (-2.35), which is seen to very well fit the
calculated mass function for PMS candidates of masses above |
Open with DEXTER |
6.5 Comments on the age distribution
There are some cases in the recent literature of regions similar to this, where a central, ageing cluster has caused a set of structures around it, driving in some cases the formation of new stars (Yun et al. 2008; Deharveng et al. 2003). Here we could be witnessing a region similar to these, but some 10 million years later than those other regions.
In view of the possible presence of two generations of MS and
post-MS stars in the central field, as suggested by our data in
combination with isochrone fitting, we speculate that the bubble may
have been shaped by the first generation of stars some 40 Myr
ago. This population may be quite dispersed by now. The new generation,
with ages approximately around 3-5 Myr found both for MS,
post-MS, and PMS stars, may have been triggered by the first
population, and although we see a cluster projected close to the centre
of the bubble, its exact location may just as well be closer to the
shell of the bubble in the line of sight towards us. As seen in
Fig. 1
the red structures without bright rims at the edges are most likely
cloud filaments and structure located on the near side of the bubble,
and would be showing absorption relative to the H
emission background. These structures contrast to the ones with bright
rims, i.e. enhanced H
emission at the edges. In this context, we may interpret the collection
of Class I sources found by pug09 in the direction of the
cluster core. As suggested by these authors, they could indeed be
embedded in the above mentioned H
absorbing structure and be a part of the surrounding region.
All these indications enhance the view of Sh 2-284 as a region with past events of star formation at different ages, and a presently ongoing formation activity of new generations of stars, ranging in age from a few Myr down to very young objects in the first formation phases.
7 Summary and conclusions
- We obtained deep UBVRIJHK photometry in
the central 6.5' part of the Dolidze 25 cluster, reaching the
10
limiting magnitudes of V = 23.3, J = 19.7, and
. Magnitudes, colours, and positions of all sources, as well as possible membership assignments, are published in Table 1, available on-line.
- The membership analysis revealed 214 candidate members, of which 35 are main-sequence or post-MS stars, and the rest are PMS candidates. The PMS candidates comprise optically selected sources as well as sources with IR excess.
- The use of low metallicity ZAMS and isochrones to estimate distance gives a new distance for the cluster to be 3.6 kpc.
- The ages of the optically selected PMS stars are likely around 5 Myr and those of the IR-excess sources possibly slightly younger.
- We find a possible existence of two generations of member stars, one with MS and PMS stars of age below 5 Myr, and another older population of an age of around 40 Myr. The spatial distribution of the two potential generations is found to be distinct, giving independent support to this suggestion.
- Dolidze 25 seems to be located in the centre of an ionized bubble which probably originated from the older generation of stars. We cannot exclude that the young cluster generation is located in the near side of the bubble shell, though.
The NOT staff atronomers Tapio Pursimo and John Telting are warmly acknowledged for the ALFOSC observations carried out during service/technical nights. Thanks to the referee, A. Moffat, for his comments and recommendations which resulted in an improvement of the article. We also wish to tank D. Lennon for his very valuable and useful comments. Part of the data presented here have been taken using ALFOSC, which is owned by the Instituto de Astrofisica de Andalucia (IAA) and operated at the Nordic Optical Telescope under agreement between IAA and the NBIfAFG of the Astronomical Observatory of Copenhagen. This work has been supported by the Spanish MICCIN through grants AYA2007-64052, and by the Consejería de Educación y Ciencia de la Junta de Andalucía, through TIC 101 and TIC 4075 grants. E.J.A. acknowledges the financial support from the Spanish MICINN under the Consolider-Ingenio 2010 Program grant CSD2006-00070: First Science with the GTC. This research has made use of the SIMBAD database, operated at CDS, Strasbourg, France, the NASA ADS Abstract Service, and the WEBDA data base, developed by Jean-Claude Mermilliod at the Laboratory of Astrophysics of the EPFL (Switzerland), and further developed and maintained by Ernst Paunzen at the Institute of Astronomy of the University of Vienna (Austria). This publication makes use of data products from the Two Micron All Sky Survey, which is a joint project of the University of Massachusetts and the Infrared Processing and Analysis Center/California Institute of Technology, funded by the National Aeronautics and Space Administration and the National Science Foundation. We have also made use of the public data in the AAO/UKST Hsurvey, and observations from the Spitzer Space Telescope, which is operated by the Jet Propulsion Laboratory, California Institute of Technology under a contract with NASA.
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Footnotes
- ... 2-284
- Based on observations made with the Nordic Optical Telescope, operated on the island of La Palma jointly by Denmark, Finland, Iceland, Norway, and Sweden, in the Spanish Observatorio del Roque de los Muchachos of the Instituto de Astrofisica de Canarias.
- ...
- Table 1 is only available in electronic form at the CDS via anonymous ftp to cdsarc.u-strasbg.fr (130.79.128.5) or via http://cdsweb.u-strasbg.fr/cgi-bin/qcat?J/A+A/509/A104
- ...
COROT
- http://earth-sciences.cnes.fr/COROT/
- ... NOTCam
- See URL http://www.not.iac.es:/instruments/notcam/ for details on NOTCam.
- ...(Lejeune & Schaerer 2001)
- http://vizier.cfa.harvard.edu/viz-bin/VizieR?-source=VI/102
- ...
Y2
- http://csaweb.yonsei.ac.kr/ kim/y2solarmixture.htm
All Tables
Table 2: The 35 MS and post-MS members found in our analysis of a 6.5'wide field.
All Figures
![]() |
Figure 1:
Colour composite of |
Open with DEXTER | |
In the text |
![]() |
Figure 2:
The variance of ZAMS fitting to unevolved members in CM diagrams is
plotted as a function of |
Open with DEXTER | |
In the text |
![]() |
Figure 3:
Selection of upper MS member stars. The left panel
shows all stars with a measurement in all |
Open with DEXTER | |
In the text |
![]() |
Figure 4:
Comparison of upper cluster sequence to isochrones in the CM diagrams.
The ZAMS line for Z=0.004 (continuous line. See
text) and Geneva isochrones for the same metallicity and
Log Age(yr) 7.0, 7.2, 7.5 and 8 (dotted lines, from
left to right in each panel) are plotted. Circles are stars
adopted as unevolved MS members. Crosses are stars adopted as post-MS
members. Among them, crossed squares are those stars considered to
estimate the age. The position of stars labeled a-d is commented in the
text. A quantitative comparison (see text) gives |
Open with DEXTER | |
In the text |
![]() |
Figure 5:
The J-H/H-K
diagrams for the two near-IR datasets used.
Left: the |
Open with DEXTER | |
In the text |
![]() |
Figure 6:
RGB image of the NOTCam deep |
Open with DEXTER | |
In the text |
![]() |
Figure 7: K-band histogram of all sources in the 3.5' field (continuous histogram) compared to the histogram of K-band counts according to the Besançon Galaxy model (dotted histogram). Circles show the number of extragalactic sources (Table 4 in Barro et al. 2009) scaled to our field size and corrected for a cloud extinction of AK = 0.24 mag. |
Open with DEXTER | |
In the text |
![]() |
Figure 8: K-band histogram of the two samples of young cluster member candidates: optically selected PMS stars (dotted line) and IR-excess sources (continous line). |
Open with DEXTER | |
In the text |
![]() |
Figure 9: Sky map of the observed field (north up and east left). V-band magnitude is coded with dot size. The location of MS and post-MS stars of the younger generation (cyan circles) and of the older generation (blue circles), optical PMS candidates (black squares), and IR-excess sources (red diamonds) are shown. Note that the IR-excess source selection has a higher sensitivity in the smaller area covered by NOTCam. |
Open with DEXTER | |
In the text |
![]() |
Figure 10: V,(B-V) diagrams with indications in the cluster members assigned to two generations of stars at different ages. In both panels, all stars are represented with small dots. In the left panel, proposed young members (3-5 Myr) are plotted, with post-MS (crosses) and MS members (circles), and PMS members assigned in at least three CM diagrams (squares). Cluster members in the older generation are plotted in the right panel, with the same meaning for the symbols. ZAMS-Z004 line (continuous thick), 10 Myr isochrone (continuous thin), and PMS isochrones of ages 1 and 10 Myr (broken) are plotted and labeled in the left panel. The same ZAMS and the 45 Myr isochrone are plotted in the right panel. |
Open with DEXTER | |
In the text |
![]() |
Figure 11: The number of pairs as a function of separation (in arc seconds), a measurement of the clustering properties of a population, is shown in histograms. Top: the optically selected PMS stars comprise the large population in the white/open histogram, the IR-excess sources are shown as red/filled histogram, and the total population of MS and post-MS stars in the small white/open histogram. Bottom: the total MS and post-MS population is shown in the white/open histogram, the older population in the orange/bold line histogram, and the younger population in the blue/filled histogram. |
Open with DEXTER | |
In the text |
![]() |
Figure 12:
Mass function for the candidate members in Dolidze 25. The
models of Lejeune & Schaerer
(2001) and Yi et al.
(2001) for Z=0.004 have been used to
estimate membership and calculate masses for the assigned members. Mass
functions of PMS candidates (dashed curve) and all members (dotted
curve) are plotted. The continuous straight line reproduces the slope
of the Salpeter IMF (-2.35), which is seen to very well fit the
calculated mass function for PMS candidates of masses above |
Open with DEXTER | |
In the text |
Copyright ESO 2010
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