VR Photometry of Open Cluster NGC 6819
Jared M. Withers
2002 May 29
Abstract
Open cluster NGC 6819 was imaged through V and I filters to a limiting
magnitude of 15 under mostly photometric conditions. A calibrated
color-magnitude diagram was constructed using crowded field photometry
tools within IRAF(Image Reduction and Analysis Facility). Correction for
line-of-sight reddening was applied and results are compared to Kalirai ET AL
2001.
1. Introduction
Star clusters are interesting to study because their properties as a group give us the
ability to make impactful measurements with minimal observing time. We know that all the stars in a cluster are roughly
the same distance away and that they were all formed at the same time out of
the same dust cloud. This allows us to speculate that all the stars in the
cluster have the same amount line of sight reddening, are the same age, and
have similar chemical makeup (i.e. metallicity). This knowledge allows us to
reach conclusions in a much more direct fashion than if we were dealing with
an unbound star system. When we plot the color versus magnitude of all the
stars in the cluster we find that the stars which are small enough to still be
burning hydrogen group together to form a line called the "main sequence".
The main sequence "stops" at some point, meaning all stars larger than the
last ones on the main sequence have burned all their hydrogen and begun to
move out to the giant branch. This "turnoff" point allows us to calculate the
age of the whole star cluster by comparing the age of the turnoff stars to
theoretical stellar evolution models called isophotes.
The project goal was to create a color magnitude diagram for NGC 6819 in which
the main sequence is apparent. Then compare with a 2001 paper by Kalirai ET AL.
In preparation, I calculated exposure times based on the published turnoff
magnitude of 15. This assumption was incorrect and will be discussed along with
the results below.
2. Observations
NGC 6819 was observed using the 0.25 meter Great Ohio Telescope on 2002
May 7 UT under mostly photometric conditions. A thin cirrus which had
moved in early in the night had, for the most part, dissappeared by the time I started
observating.
Three Evening flats were taken in each of the V and R filters
with the CCD at a uniform temperature of -15 degrees Celcius. The same was
done with the morning flats and all flats had acceptable counts. 5 x 30 s
and 5 x 120 s darks were taken without any problems. Then, 7 x .11 s zeros
were taken. Following all the calibration frames, a single 120 s exposure in
V and R filters of NGC 6819 was taken. Then six standard stars
were exposed through V and R filters. Followed by annother set
of exposures on NGC 6819 when is was <10 degrees off of our zenith.
|
Figure 1. A fully reduced, color composite, 18'x11' image from which photometry will be obtained.
FWHM is about 7 pixels.
|
3. Reductions
Reductions began with having a look at the zeros and darks using imstat and
the image viewer. Then the darks and zeros were combined; this section went
smoothly. After that, I dark- and zero-corrected the flat and object frames
and took a quick look at the flats. Then the flats were combined. Upon
examining the combined flat I noticed a light spot in the upper left corner.
When I went back and looked more closely at the individual flats I noticed one
of the morning flats had a big white smudge in the same upper corner. After
elliminating this flat, the combined flat looked much better. Then, the last
basic reduction step was flat-field dividing the object frames. See above for
the image after basic reductions.
Now that the basic reductions were complete, I was able to start the photometry.
The first order of business was to fix the image headers by correcting the
exposure time and adding an airmass value (the GOT cannot do this automatically).
Then it was time to choose an aperture size for photometry of the standard stars.
It took a few tries to figure out that the values the users guide assumes are
quite a bit smaller than the ones we achieve with the GOT. Values which gave me
good results were a FWHM of 7, an aperture radius of 30 pixels and an annulus
radius of 40 pixels. Next, a considerable amount of time was spent setting up
the parameters in phot. It was at this point that I realized I was going to
lose a significant amount of my standard stars simply because I could not locate
them in the frame with any reasonable amount of confidence. On account that
I couldn not locate some of the standards myself, I assumed I should
not use the automatic star finder in daofind. After locating three of my
seven standards by hand, I used phot to construct a list of the magnitudes of
the standards in each frame. This worked well, and I was reasonably sure the
ones I have located were actually the ones I was after. The mknobsfile task
was the used to create a list of all the standard stars and their information.
This file will be used later by the transformation equation solver.
Setting up the transformation equations made me realize another unfortunate
occurrence: all my standard stars were at almost exactly the same airmass!
It was determined by people of greater knowledge than I that I could still
calibrate the magnitudes with these stars. Then I could find a correction
factor by comparing my 2 exposures of NGC 6819 that I took at different
airmasses. This means my transformation equations will not have an airmass or
extinction value. My two equations were mV=V+v1+v2*VR and mR=(V-VR)+r1+r2*VR.
Now it was time to start working with daophot; which is IRAF's crowded field
photometry tool. After the initial parameters setup, the first step is using
daofind to locate the coordinates of all the stars on the image. These will
eventually be sent to phot so the magnitudes can be obtained. The threshold
and sky standard deviation required a little tinkering to keep daofind from
locating noise as stars or skipping over stars that I wanted to include in the
photometry. I used tvmark to mark the located stars until I was happy with
the selection.
|
Figure 2. This is the image displayed by tvmark. The red dots indicate
selected stars. Notice only stars in the vicinity of the cluster have been located.
This cuts down on field contamination.
|
Making the point spread function (PSF) was by far the trickiest part of this data
analysis. It took many attempts before I was happy with the star subtraction
which leads me to believe the PSF has some variance across the field. Below is
an image after running substar. The subtraction looks satisfactory, but closer
inspection reveals some disturbances where the brighter stars used to be.
|
Figure 3. Object frame with all marked stars subtracted. Compare with the
first image and note the difference.
|
I then located all the central, distinct stars I could and added them
to the coordinate list. Some of the fainter stars can be recognized, but
noise and the disturbances from the previous star subtraction prevents daofind
from locating them and makes manual location uncertain. Aperture correction
was determined automatically using the .psg and .nsg files that allstar created
during the star subtraction step. Lastly, transforming the instrumental
magnitudes into the standard system makes use of tools mkobsfile and invertfit.
These apply the transformations that were solved earlier and output a photometry
file with corrected V and V-R magnitudes.
I found the error in V to be +/-0.021737 Mag and a V-R error of
+/-0.0118292 Mag. These errors were then applied to the 200 selected stars in the
cluster. Figure 4 shows a plot of the V errors. Notice how rapidly
the error values increase as the stars get fainter.
|
Figure 4. Errors in V. Notice they increase with magnitude.
|
|
Figure 5. Errors in V-R. Notice they decrease with redness.
|
4. Results
Below are two color-magnitude diagrams, figure 6 is before extinction correction,
and figure 7 is after. These correction factors were calculated using the
standard interstellar extinction law (Galactic Astronomy, James Binney & Michael
Merrifield, 1998). Rv=3.1=Av/E(B-V) where E(B-V)=.14 (Bragaglia ET AL. 2000)
and Av is the V correction. Ar=Av*.748 (also from Binney & Merrifield, 1998).
|
Figure 6. Color-magnitude diagram before extinction correction.
|
|
Figure 7. Callibrated color-magnitude diagram with extinction correction.
|
The red clump is distinguishable at about magnitude 13.2. Also note the
obvious magnitude limit. These images include counts of about 200 stars located
within the published cluster width of 5 arcminutes (Burkhead 1970) so as to
minimize field contamination. Below is a color-magnitude diagram taken from
Kalirai ET AL 2001. Notice the red clump and compare it with the calibrated
C-M diagram above. If you can visualize where the main sequence would be,
you will see it falls below the limiting magnitude of the photometry.
|
Figure 8. C-M diagram from Kalirai ET AL 2001.
|
5. Discussion
The moral of this story: Do not skimp on exposure time! A better plan would
have been to take about four sets of 120 s exposures and coadd them until
an optimal limiting magnitude was obtained. After reducing the frames I found
that my limiting magnitude was more like 14. Realizing I had completely missed the main sequence,
my project goal shifted to determining the cluster distance using the red clump,
which is reasonably well defined. Unfortunately, when I investigated the possibility of
this distance estimation, I found this would only apply if
NGC 6819 was younger than 2 Gyr (Grocholski 2001).
Although my goal of measuring the age of the cluster was not obtained, the red
clump was observable with reasonable accuracy. When compared to the published
C-M diagram, the visual magnitude is almost the same and the color is also close
after it is convered to B band. I do believe this
project is achievable with the equipment used, and my errors will undoubtedly
prove helpful to others in future observing runs with the GOT.
References
Kalirai, J. 2001, ApJ, 266
Binney, J. & Merrifield, M 1998, Galactic Astronomy
Massey 1997, A User's Guide to CCD Reductions with IRAF
Burkhead, M. 1970, ApJ, 251
Bragaglia, A. 2000, ApJ, 327
Grocholski, A. 2001, ApJ, 1603
Rosvick 1997, ApJ, 115:1516-1513