All the photometric data for the 74 GGCs presented in this paper come from HST/WFPC2 observations in the F439W and F555W bands; in all cases, the PC camera was centered on the cluster center. Table 1 list the observed clusters (Col. 1), the origin of the observations (Col. 2), and the exposure times in F555W (Col. 3) and F439W (Col. 4) bands. Table 2 give a few relevant parameters (from the Harris 1996 compilation) Fig. 1 shows the spatial distribution of the target clusters within the Galaxy.
After the snapshot observations (or, for 12 clusters, after the public
release date), the images were retrieved via ftp from the HST archive
in Baltimore, and they were furtherly processed partially following
the recipe in Silbermann et al. (1996). As in Silbermann
et al., the vignetted pixels, and bad pixels and columns, were masked
out using a vignetting frame created by P. B. Stetson, together with
the appropriate data-quality file for each frame. However, we did
not correct for the pixel area map, since this correction is
included in the calibration process described below. Finally the
single-chip frames were extracted from the 4-chip-stack files, and
analyzed separately. Frames obtained both at gain =
and at
were available, so care was taken to
adjust the various parameters to the
applicable gain value for each image.
| ID | Name | l | b |
|
E(B-V) | (m-M)V |
|
[Fe/H] | c |
|
|
|
|
| NGC 104 | 47 Tuc | 305.90 | -44.89 | 7.4 | 0.04 | 13.37 | -9.42 | -0.76 | 2.03 | 47.25 | 8.06 | 9.48 | 4.77 |
| NGC 362 | 301.53 | -46.25 | 9.3 | 0.05 | 14.80 | -8.40 | -1.16 | 1.94c: | 16.11 | 7.76 | 8.92 | 4.70 | |
| NGC 1261 | 270.54 | -52.13 | 18.2 | 0.01 | 16.10 | -7.81 | -1.35 | 1.27 | 7.28 | 8.74 | 9.20 | 2.96 | |
| NGC 1851 | 244.51 | -35.04 | 16.7 | 0.02 | 15.47 | -8.33 | -1.22 | 2.32 | 11.70 | 6.98 | 8.85 | 5.32 | |
| NGC 1904 | M 79 | 227.23 | -29.35 | 18.8 | 0.01 | 15.59 | -7.86 | -1.57 | 1.72 | 8.34 | 7.78 | 9.10 | 4.00 |
| NGC 2419 | 180.37 | 25.24 | 91.5 | 0.11 | 19.97 | -9.58 | -2.12 | 1.40 | 8.74 | 9.96 | 10.55 | 1.54 | |
| NGC 2808 | 282.19 | -11.25 | 11.0 | 0.23 | 15.56 | -9.36 | -1.15 | 1.77 | 15.55 | 8.28 | 9.11 | 4.61 | |
| NGC 3201 | 277.23 | 8.64 | 9.0 | 0.21 | 14.24 | -7.49 | -1.58 | 1.30 | 28.45 | 8.81 | 9.23 | 2.69 | |
| NGC 4147 | 252.85 | 77.19 | 21.3 | 0.02 | 16.48 | -6.16 | -1.83 | 1.80 | 6.31 | 7.49 | 8.67 | 3.48 | |
| NGC 4372 | 300.99 | -9.88 | 7.1 | 0.39 | 15.01 | -7.77 | -2.09 | 1.30 | 34.82 | 8.90 | 9.59 | 2.09 | |
| NGC 4590 | M 68 | 299.63 | 36.05 | 10.1 | 0.05 | 15.19 | -7.35 | -2.06 | 1.64 | 30.34 | 8.67 | 9.29 | 2.54 |
| NGC 4833 | 303.61 | -8.01 | 6.9 | 0.33 | 14.92 | -8.01 | -1.79 | 1.25 | 17.85 | 8.71 | 9.34 | 3.06 | |
| NGC 5024 | M 53 | 332.96 | 79.76 | 18.8 | 0.02 | 16.38 | -8.77 | -1.99 | 1.78 | 21.75 | 8.79 | 9.69 | 3.04 |
| NGC 5634 | 342.21 | 49.26 | 21.9 | 0.05 | 17.22 | -7.75 | -1.82 | 1.60 | 8.36 | 8.61 | 9.28 | 3.12 | |
| NGC 5694 | 331.06 | 30.36 | 29.1 | 0.09 | 17.98 | -7.81 | -1.86 | 1.84 | 4.29 | 7.86 | 9.15 | 4.03 | |
| IC 4499 | 307.35 | -20.47 | 15.7 | 0.23 | 17.09 | -7.33 | -1.60 | 1.11 | 12.35 | 9.37 | 9.66 | 1.49 | |
| NGC 5824 | 332.55 | 22.07 | 25.8 | 0.13 | 17.93 | -8.84 | -1.85 | 2.45 | 15.50 | 7.88 | 9.33 | 4.66 | |
| NGC 5904 | M 5 | 3.86 | 46.80 | 6.2 | 0.03 | 14.46 | -8.81 | -1.29 | 1.83 | 28.40 | 8.26 | 9.53 | 3.91 |
| NGC 5927 | 326.60 | 4.86 | 4.5 | 0.45 | 15.81 | -7.80 | -0.37 | 1.60 | 16.68 | 8.29 | 8.98 | 3.87 | |
| NGC 5946 | 327.58 | 4.19 | 7.4 | 0.54 | 17.21 | -7.60 | -1.38 | 2.50c | 24.03 | 7.06 | 8.95 | 4.50 | |
| NGC 5986 | 337.02 | 13.27 | 4.8 | 0.27 | 15.94 | -8.42 | -1.58 | 1.22 | 10.52 | 8.94 | 9.23 | 3.30 | |
| NGC 6093 | M 80 | 352.67 | 19.46 | 3.8 | 0.18 | 15.56 | -8.23 | -1.75 | 1.95 | 13.28 | 7.73 | 8.86 | 4.76 |
| NGC 6139 | 342.37 | 6.94 | 3.6 | 0.75 | 17.35 | -8.36 | -1.68 | 1.80 | 8.52 | 7.56 | 9.04 | 4.66 | |
| NGC 6171 | M 107 | 3.37 | 23.01 | 3.3 | 0.33 | 15.06 | -7.13 | -1.04 | 1.51 | 17.44 | 8.05 | 9.31 | 3.13 |
| NGC 6205 | M 13 | 59.01 | 40.91 | 8.7 | 0.02 | 14.48 | -8.70 | -1.54 | 1.51 | 25.18 | 8.80 | 9.30 | 3.33 |
| NGC 6229 | 73.64 | 40.31 | 30.0 | 0.01 | 17.46 | -8.07 | -1.43 | 1.61 | 5.38 | 8.36 | 9.19 | 3.40 | |
| NGC 6218 | M 12 | 15.72 | 26.31 | 4.5 | 0.19 | 14.02 | -7.32 | -1.48 | 1.39 | 17.60 | 8.10 | 9.02 | 3.23 |
| NGC 6235 | 358.92 | 13.52 | 2.9 | 0.36 | 16.11 | -6.14 | -1.40 | 1.33 | 7.61 | 8.11 | 8.67 | 3.11 | |
| NGC 6256 | 347.79 | 3.31 | 2.1 | 1.03 | 17.31 | -6.02 | -0.70 | 2.50c | 7.59 | 5.36 | 8.40 | 5.70 | |
| NGC 6266 | M 62 | 353.58 | 7.32 | 1.7 | 0.47 | 15.64 | -9.19 | -1.29 | 1.70c: | 8.97 | 7.64 | 9.19 | 5.14 |
| NGC 6273 | M 19 | 356.87 | 9.38 | 1.6 | 0.37 | 15.85 | -9.08 | -1.68 | 1.53 | 14.50 | 8.50 | 9.34 | 3.96 |
| NGC 6284 | 358.35 | 9.94 | 6.9 | 0.28 | 16.70 | -7.87 | -1.32 | 2.50c | 23.08 | 7.15 | 9.16 | 4.44 | |
| NGC 6287 | 0.13 | 11.02 | 1.7 | 0.60 | 16.51 | -7.16 | -2.05 | 1.60 | 10.51 | 7.85 | 8.66 | 3.85 | |
| NGC 6293 | 357.62 | 7.83 | 1.4 | 0.41 | 15.99 | -7.77 | -1.92 | 2.50c | 14.23 | 6.24 | 8.91 | 5.22 | |
| NGC 6304 | 355.83 | 5.38 | 2.1 | 0.52 | 15.54 | -7.32 | -0.59 | 1.80 | 13.25 | 7.38 | 8.89 | 4.39 | |
| NGC 6316 | 357.18 | 5.76 | 3.2 | 0.51 | 16.78 | -8.35 | -0.55 | 1.55 | 5.93 | 7.72 | 9.00 | 4.21 | |
| NGC 6325 | 0.97 | 8.00 | 2.0 | 0.89 | 17.68 | -7.35 | -1.17 | 2.50c | 9.49 | 5.94 | 8.92 | 5.40 | |
| NGC 6342 | 4.90 | 9.73 | 1.7 | 0.46 | 16.10 | -6.44 | -0.65 | 2.50c | 14.86 | 6.09 | 8.66 | 4.77 | |
| NGC 6356 | 6.72 | 10.22 | 7.6 | 0.28 | 16.77 | -8.52 | -0.50 | 1.54 | 7.97 | 8.33 | 9.26 | 3.76 | |
| NGC 6355 | 359.58 | 5.43 | 1.0 | 0.75 | 16.62 | -7.48 | -1.50 | 2.50c | 15.18 | 5.95 | 8.71 | 4.95 | |
| IC 1257 | 16.53 | 15.14 | 17.9 | 0.73 | 19.25 | -6.15 | -1.70 | ||||||
| NGC 6362 | 325.55 | -17.57 | 5.3 | 0.08 | 14.79 | -7.06 | -0.95 | 1.10 | 16.67 | 9.07 | 9.31 | 2.22 | |
| NGC 6380 | Ton 1 | 350.18 | -3.42 | 3.2 | 1.17 | 18.77 | -7.46 | -0.50 | 1.55c: | 12.06 | 8.39 | 8.87 | 3.70 |
| NGC 6388 | 345.56 | -6.74 | 4.4 | 0.40 | 16.54 | -9.82 | -0.60 | 1.70 | 6.21 | 7.90 | 9.24 | 5.31 | |
| NGC 6402 | M 14 | 21.32 | 14.81 | 3.9 | 0.60 | 16.61 | -9.02 | -1.39 | 1.60 | 33.24 | 9.07 | 9.36 | 3.30 |
| NGC 6401 | 3.45 | 3.98 | 0.8 | 0.85 | 17.07 | -7.62 | -1.12 | 1.69 | 12.10 | 7.74 | 9.29 | 4.10 | |
| NGC 6397 | 338.17 | -11.96 | 6.0 | 0.18 | 12.36 | -6.63 | -1.95 | 2.50c | 15.81 | 4.90 | 8.46 | 5.68 | |
| NGC 6440 | 7.73 | 3.80 | 1.3 | 1.07 | 17.95 | -8.75 | -0.34 | 1.70 | 6.31 | 7.54 | 8.76 | 5.28 | |
| NGC 6441 | 353.53 | -5.01 | 3.5 | 0.44 | 16.62 | -9.47 | -0.53 | 1.85 | 8.00 | 7.72 | 9.13 | 5.23 | |
| NGC 6453 | 355.72 | -3.87 | 3.3 | 0.61 | 17.13 | -7.05 | -1.53 | 2.50c | 21.50 | 6.87 | 8.36 | 4.72 | |
| NGC 6517 | 19.23 | 6.76 | 4.3 | 1.08 | 18.51 | -8.28 | -1.37 | 1.82 | 4.10 | 6.90 | 8.88 | 5.20 | |
| NGC 6522 | 1.02 | -3.93 | 0.6 | 0.48 | 15.94 | -7.67 | -1.44 | 2.50c | 16.44 | 6.32 | 8.90 | 5.31 | |
| NGC 6539 | 20.80 | 6.78 | 3.1 | 0.97 | 17.63 | -8.30 | -0.66 | 1.60 | 21.46 | 8.60 | 9.37 | 3.62 | |
| NGC 6540 | Djorg 3 | 3.29 | -3.31 | 4.4 | 0.60 | 14.68 | -5.38 | -1.20 | 2.50c | 9.49 | 5.01 | 7.08 | 5.92 |
| NGC 6544 | 5.84 | -2.20 | 5.4 | 0.73 | 14.33 | -6.56 | -1.56 | 1.63c: | 2.05 | 5.05 | 8.35 | 5.75 | |
| NGC 6569 | 0.48 | -6.68 | 1.2 | 0.56 | 16.43 | -7.88 | -0.86 | 1.27 | 6.95 | 8.25 | 9.17 | 3.76 |
| ID | Name | l | b |
|
E(B-V) | (m-M)V |
|
[Fe/H] | c |
|
|
|
|
| NGC 6584 | 342.14 | -16.41 | 7.0 | 0.10 | 15.95 | -7.68 | -1.49 | 1.20 | 9.37 | 9.01 | 9.09 | 2.92 | |
| NGC 6624 | 2.79 | -7.91 | 1.2 | 0.28 | 15.37 | -7.50 | -0.42 | 2.50c | 20.55 | 6.62 | 8.74 | 5.25 | |
| NGC 6638 | 7.90 | -7.15 | 1.6 | 0.40 | 15.85 | -6.83 | -0.99 | 1.40 | 6.63 | 7.93 | 8.51 | 4.05 | |
| NGC 6637 | M 69 | 1.72 | -10.27 | 1.6 | 0.16 | 15.16 | -7.52 | -0.71 | 1.39 | 8.35 | 8.15 | 8.79 | 3.81 |
| NGC 6642 | 9.81 | -6.44 | 1.6 | 0.41 | 15.70 | -6.57 | -1.35 | 1.99 | 10.07 | 6.94 | 8.49 | 4.72 | |
| NGC 6652 | 1.53 | -11.38 | 2.4 | 0.09 | 15.19 | -6.57 | -0.96 | 1.80 | 4.48 | 6.66 | 8.55 | 4.54 | |
| NGC 6681 | M 70 | 2.85 | -12.51 | 2.1 | 0.07 | 14.98 | -7.11 | -1.51 | 2.50c | 7.91 | 5.62 | 8.83 | 5.41 |
| NGC 6712 | 25.35 | -4.32 | 3.5 | 0.45 | 15.60 | -7.50 | -1.01 | 0.90 | 7.44 | 8.86 | 8.98 | 3.14 | |
| NGC 6717 | Pal 9 | 12.88 | -10.90 | 2.3 | 0.20 | 14.95 | -5.67 | -1.29 | 2.07c: | 9.87 | 6.61 | 8.26 | 4.65 |
| NGC 6723 | 0.07 | -17.30 | 2.6 | 0.05 | 14.87 | -7.86 | -1.12 | 1.05 | 10.51 | 8.99 | 9.30 | 2.81 | |
| NGC 6760 | 36.11 | -3.92 | 4.8 | 0.77 | 16.74 | -7.86 | -0.52 | 1.59 | 12.96 | 7.94 | 9.39 | 3.84 | |
| NGC 6838 | M 71 | 56.74 | -4.56 | 6.7 | 0.25 | 13.75 | -5.56 | -0.73 | 1.15 | 8.96 | 7.64 | 8.41 | 3.05 |
| NGC 6864 | M 75 | 20.30 | -25.75 | 12.8 | 0.16 | 16.87 | -8.35 | -1.32 | 1.88 | 7.28 | 7.85 | 9.08 | 4.51 |
| NGC 6934 | 52.10 | -18.89 | 14.3 | 0.09 | 16.48 | -7.65 | -1.54 | 1.53 | 8.37 | 8.43 | 9.07 | 3.37 | |
| NGC 6981 | M 72 | 35.16 | -32.68 | 12.9 | 0.05 | 16.31 | -7.04 | -1.40 | 1.23 | 9.15 | 8.93 | 9.20 | 2.35 |
| NGC 7078 | M 15 | 65.01 | -27.31 | 10.4 | 0.10 | 15.37 | -9.17 | -2.25 | 2.50c | 21.50 | 7.02 | 9.35 | 5.38 |
| NGC 7089 | M 2 | 53.38 | -35.78 | 10.4 | 0.06 | 15.49 | -9.02 | -1.62 | 1.80 | 21.45 | 8.54 | 9.32 | 3.90 |
| NGC 7099 | M 30 | 27.18 | -46.83 | 7.1 | 0.03 | 14.62 | -7.43 | -2.12 | 2.50c | 18.34 | 6.38 | 8.95 | 5.04 |
The photometric reduction was carried out using the DAOPHOTII/ALLFRAME package (Stetson 1987, 1994). Preliminary photometry was carried out in order to construct an approximate list of stars for each single frame. This list was used to match the different frames accurately. With the correct coordinate transformations among the frames, we obtained a single image, combining all the frames, regardless of the filter. In this way we could eliminate all the cosmic rays and obtain the highest signal/noise image for star finding. We ran the DAOPHOT/FIND routine on the stacked image and performed PSF-fitting photometry in order to obtain the deepest list of stellar objects free from spurious detections. The subtracted image was searched again for objects missed in the first pass, and the new list was appended to the existing one. Finally, the entire star list was given as input to ALLFRAME, for the simultaneous PSF-fitting photometry of all the individual frames. In some cases we could not construct a PSF from our images, since there were not enough sufficiently isolated stars in any of the four chips. In those instances, the PSFs used were the high-S/N PSFs extracted by P. B. Stetson (private communication) from a large set of uncrowded and unsaturated WFPC2 images. The clusters for which Stetson PSFs have been used are marked with an asterisk in Table 1. For each of the WFPC2 chips, the (typically two) F555W and (typically three) F439W magnitude lists were combined to create a raw color-magnitude diagram (CMD). First a catalog of mean magnitudes was created for each of the two filters, and then they were combined to obtain the F439W-F555W colors. In this process, we used the programs DAOMATCH/DAOMASTER (kindly provided by P. B. Stetson), which yield magnitudes in the instrumental photometric system of the two F555W and F439W frames that were chosen as references.
In order to calibrate our photometry, we followed the procedure
outlined in Dolphin (2000; D00). This accounts for both
the charge transfer (in)efficiency (CTE) and the variation of the
effective pixel area across the WFPC2 field of view, and it yields
final calibrated magnitudes in either the Johnson photometric system
or the HST one. As a first step,
a softened background was calculated
from the actual output of ALLFRAME (after multiplying by the
gain value G=7 or 15, so counts are expressed in electrons)
as follows.
Negative values of the background were set to zero, and then the
background counts (B) were replaced by
.
The
counts in electrons
were then
computed for each star magnitude. (Note that DAOPHOT sets a star
magnitude to m=25 for stars with a flux corresponding to one count
above the sky background.) The B and D values were then
used to find the CTE (and pixel area) correction to magnitude m,
which is computed as m=m-C, where C=Y+X and
The first step was to find the aperture corrections from
ALLFRAME magnitudes to the reference aperture of 0.5'' used
by Holtzman et al. (1995; H95). A set of bright isolated
objects was selected, all their neighbors were subtracted, and
aperture photometry was performed within the chosen set of radii. The
aperture corrections were then defined as
,
and median values were computed. Generally the agreement between
the zero points of the four chips is good (
mag), but in some cases the procedure gave poor aperture
corrections. This normally happened for the more crowded PC chip. In
such cases, the aperture corrections were changed by a few hundredths
of a magnitude in order to bring the PC photometry into agreement with
the WF zero points. This procedure will of course erase any true
magnitude offset introduced by a patchy reddening on arcmin scales, so
we warn the readers that these data are not suitable for mapping the
reddening within the sky area covered by the WFPC2.
Once the aperture corrections had been applied, the following procedure
was followed. First, the aperture corrections AC555 and AC439, and the absorptions A555 and A439 were
subtracted from the instrumental magnitues. Since the absorptions
depend on the true colors, which are not known at the beginning, we
started with null values for A555 and A439. From the
corrected instrumental magnitudes m555 and m439 the
counts were computed in the usual way, i.e.,
D555=10-0.4(m555-25) and
D439=10-0.4(m439-25). The D values were used to compute the provisional flight
magnitudes, as given by the D00 equations:
The determination of the Johnson B and V magnitudes is complicated
by the fact that they depend on the true color of the star, so we followed an
iterative procedure. Assuming B-V=1, we computed the provisional magnitudes
as prescribed by D00:
At this stage we are still ignoring absorption. However, we now have an estimate of the Johnson magnitudes, so we can compute a first provisional value of A555 and A439. They can be subtracted, together with the aperture corrections, from the instrumental magnitudes, and the previous cycle can be repeated until new values for the absorptions are obtained. Indeed, the cycle was repeated until again the differences between successive values of V and B were smaller than 0.001.
The absorptions were computed in the following manner. The absorptions for two stars of spectral type K5 and O6 are given in H95 for the different HST filters, as a function of the reddening EB-V. In order to compute the absorption for a star of any spectral type, two fiducial B-V colors were assigned to the two reference types, B-V=1.15 and B-V=-0.32, respectively. The absorptions for stars of intermediate colors were computed as linear interpolations between the values at the two color extremes. Since the range in color of our stellar populations is not extreme, the same linear interpolation was used also to compute the absorptions for stars falling outside the preferred color range. The average reddening of each globular cluster was taken from the Harris (1996) catalog.
| ID | x | y | V | B | F555W | F439W |
|
|
| 4 | 506.598 | 59.980 | 17.97 | 18.74 | 18.00 | 18.79 | 0.10 | 0.10 |
| 7 | 200.220 | 60.927 | 18.94 | 19.28 | 18.96 | 19.29 | 0.24 | 0.08 |
| 8 | 235.644 | 61.244 | 16.49 | 17.15 | 16.52 | 17.19 | 0.15 | 0.07 |
| 9 | 545.239 | 61.390 | 14.68 | 15.62 | 14.70 | 15.70 | 0.08 | 0.04 |
| 5 | 688.846 | 61.697 | 21.49 | 21.90 | 21.51 | 21.91 | 0.26 | 0.43 |
| 15 | 736.285 | 61.745 | 19.66 | 20.30 | 19.68 | 20.34 | 0.15 | 0.10 |
| 5603 | 537.317 | 62.062 | 18.96 | 19.48 | 18.99 | 19.50 | 0.16 | 0.08 |
| 12 | 445.775 | 62.208 | 18.65 | 19.37 | 18.67 | 19.42 | 0.09 | 0.06 |
| 14 | 636.699 | 62.301 | 18.00 | 18.65 | 18.02 | 18.69 | 0.08 | 0.06 |
| 11 | 119.039 | 62.725 | 17.59 | 18.03 | 17.61 | 18.04 | 0.09 | 0.06 |
|
|
|
|
|
sharp | chip | |
| 18.13 | 18.94 | 18.16 | 19.00 | 2.206 | 0.046 | 1 |
| 19.09 | 19.49 | 19.11 | 19.50 | 1.821 | -0.032 | 1 |
| 16.65 | 17.35 | 16.67 | 17.39 | 6.213 | 0.157 | 1 |
| 14.83 | 15.82 | 14.86 | 15.90 | 9.128 | 0.040 | 1 |
| 21.64 | 22.10 | 21.66 | 22.12 | 1.015 | -0.282 | 1 |
| 19.81 | 20.51 | 19.84 | 20.55 | 1.421 | -0.041 | 1 |
| 19.12 | 19.68 | 19.14 | 19.71 | 2.239 | 0.162 | 1 |
| 18.80 | 19.57 | 18.83 | 19.62 | 1.677 | 0.079 | 1 |
| 18.15 | 18.85 | 18.18 | 18.90 | 2.230 | 0.108 | 1 |
| 17.75 | 18.23 | 17.77 | 18.25 | 1.887 | -0.032 | 1 |
![]() |
Figure 2: Completeness functions and internal photometric errors from the artificial star experiments for the case of a high central density cluster (NGC 104), and of a low density object (NGC 6723). |
In practice, it is impossible to directly compare the photometry of
the data base published in this paper with any photometric catalog
from groundbased data. Our HST images are on the central, very crowded
regions which are not the usual targets of groundbased
investigations. An indirect check of the photometric calibration
is shown in Fig. 3, where the HB magnitude levels of
the HST CMDs and of the CMDs from two groundbased photometric datasets
are compared.
The (upper panel) shows the differences between the V magnitudes of the horizontal branch (
)
of
Rosenberg et al. (1999) and the
for a subsample of
our clusters (De Angeli 2001; Piotto et al. 2002), as a function of the
reddening. In the lower panel, our
are
compared with the corresponding values tabulated by Harris
(1996). The
for the HST data have
been derived as in Zoccali et al. (1999). There is a good agreement
between the HST and groundbased values.
In order to correct the empirical star counts for completeness, we performed standard artificial star experiments for each GGC. In order to optimize the cpu time, in our experiments we tried to add the largest possible number of artificial stars in a single test, without artificially increasing the crowding of the original field, i.e., avoiding the overlap of two or more artificial-star profiles. To this purpose, as described in Piotto & Zoccali (1999), the artificial stars were added in a spatial grid such that the separation of the centers in each star pair was two PSF radii plus one pixel. The relative position of each star was fixed within the grid. However, the grid was randomly moved on the frame for each different experiment.
For each artificial star test, the frame-to-frame coordinate transformations (as calculated from the original photometry) were used to ensure that the artificial stars were added exactly in the same position in each frame. We started by adding stars in one Vframe at random magnitudes; the corresponding B magnitude for each star was chosen according to the fiducial points representing the instrumental CMD. The frames obtained in this way were processed following the same procedure used for the reduction of the original images.
The completeness fraction, typically in 0.4 mag intervals, was then computed as the ratio between the number of the added artificial stars and the number of artificial stars found in the same magnitude range.
We performed separate experiments for the HB, the subgiant and red giant branches, and the blue stragglers and main sequence. In each of the three CMD branches, we ran 8 independent experiments for each of the 4 WFPC2 chips, adding in each experiment 600 stars in the PC camera and 700 stars in the WF camera, for a total of more than 7100 experiments, with more than 5 million artificial stars added.
A comparison between the added magnitudes and the measured magnitudes allows us also a realistic estimate of the internal photometric error, defined as the standard deviation of the differences between the magnitudes added and those found, as a function of magnitude.
An example of the completeness functions, and of the internal photometric errors obtained from the artificial star experiments is shown in Fig. 2. We have selected two typical situations: (a) the case of a high central density cluster (NGC 104), and (b) the case of a low density object (NGC 6723).
![]() |
Figure 3:
Upper panel: differences between the magnitude level of the
HB (
|
![]() |
Figure 4: continued. Note that the magnitude range of the CMD for NGC 6397 differs from the other cases. |
Copyright ESO 2002