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