The
next eclipse of this 27.1 year system will begin in the summer of
2009 and last nearly 2 years. There are still many unanswered questions
about this system and it will surely be studied in detail during the
next eclipse. Most astronomers do not get excited about the observing
until the eclipse stars, however, there is still much to be learned
out-of-eclipse as the epsilon Aurigae star system is anything but
quiet out-of-eclipse.
At
the Hopkins Phoenix Observatory we have been doing extensive UBV photon
counting photometry since 2003. We also have some single channel solid
state JH band infrared data.
It
seems most people doing photometry now days use a CCD camera. Observing
epsilon Aurigae posses some special problems for CCD photometry. First,
the system is very bright (3rd visual magnitude). Second, the normal
comparison star, lambda Aurigae, is too far away (5 degrees) to be
included in the same image as epsilon. While there are possible comparison
stars closer, they are 3 to 4 magnitudes fainter and posse a problem
for the dynamic range of the CCD. Single channel photometry seems
to work best, but figuring a way around the problems and use a CCD
camera was a challenge.
Aperture
Mask
For
the first case, it has been suggested that a telescope can be used
with a CCD camera by stopping down the aperture. This will certainly
work and allows sufficient exposure times to get around the scintillation
effects. Bob Buchheim wrote an article for the SAS Vol. 5 Number 3
Newsletter titled "Getting Ready for Epsilon Aurigae." He indicated
the problem with CCD photometry and the brightness of epsilon Aurigae.
By using shorter exposures (under 1 second) and other problem arises,
that of atmospheric scintillation. Usually at least a 10 second exposure
is needed to average that out. This would saturate a CCD camera connected
to most telescopes. To get around that Bob suggested making an aperture
mask.
Wide
Angle Photometry
For
the second case the aperture mask will not help. At the Hopkins Phoenix
Observatory we have experimented with using a DSI Pro CCD camera coupled
to a telephoto camera lens. We have had success using the following
procedure. Note that conditions were close ideal with clear nights
and measurements close to the meridian. The B and V filter measurement
were compared with the B and V data from our photon counting system
for the same evening. In some cases the agreements were better than
0.01 magnitudes. Other case showed difference of 0.02 to 0.05 magnitudes.
It seems if a good defocusing technique can be worked out the accuracy
as well as the precision should be very good.
Note:
Any of the DSI Pro (monochrome cameras) series cameras will work.
The
color CCD cameras will not work. Other CCD cameras may work if they
can be mated to a camera lens and obtain focus with a means to use
filters. The DSI Pro uses a stock filter slide that allows very close
mounting of the camera lens. A filter wheel was tried, but focus could
not be archived, not even close. The camera lens system allows a smaller
aperture/longer exposure time and wider field of view solving both
the above problems. Figure 1 shows a 15 second exposure using just
an IR blocking filter with a telephoto lens.
Note:
DO NOT use the IR blocking filter when doing photometry. This
was a test for field of view.

Figure
1
FOV Test with IR Blocking Filter and Telephoto Lens
Figure
2 shows a DSI Pro with filter slide, Mogg adapter and 25-200 mm telephoto
camera lens. The Mogg adapter has a 1/4"-20 tapped hold for mounting.
Various types of mounts could be used. What was used here were two
scrape pieces of 1/2" aluminum. While some adjustment in azimuth can
be made, elevation adjustments are not possible with this arrangement.
Because of the wide field of view, precise alignment is not needed.


Figure
2
DSI
Pro/Mogg Adapter/Telephoto Camera Lens
The
Mogg adapter can be purchased for around $60 US$ for various camera
lens and CCD cameras. See http://www.webcaddy.com.au/astro/adapter.asp
Ideally
a filter wheel could be used, but as noted earlier it was found that
using a filter wheel adds too much distance and focus cannot be achieved.
To achieve focus 1/8" to 1/4" would need to be milled off the Mogg
adapter. Since this is already about as narrow as practical, that
does not seem like a possible approach.
The
DSI Pro series comes with a filter slide for 4 filters. While certainly
not ideal, it does work. To make change filter positions easier a
small extended handle was added to one end of the filter slide. See
Figure 3.

Figure
3
Filter Slide Handle
When
installing the photometric filters in the filter slide, be patient.
Getting the threads started can be tricky, but DO NOT force anything.
Once you have the thread started it should go smoothly. Be sure to
tighten all filters finger tight. The end filters are particularly
difficult to thread and get tight, but can it can be done.
There
is a rubber gasket that normally fits over the filters. It may be
that the photometric filters are slightly larger than the LRGB filters,
because the gasket could not be installed. The slide will work fine
without it. Just minimize any stray light during the observing. Figures
4 shows the installed BVRI photometric filters and discarded rubber
gasket.

Figure
4
Filter Slide with BVRI Filters
To keep the filters safe. It is recommended that they filter slide
and filters be removed from the camera and kept in a plastic bag when
not in use. Otherwise you risk dust, finger prints and possible physical
damage to the expensive filters.

Figure 5
Telephoto Assembly Mounted on Telescope for Tracking
While the telephoto lens will work, it was decided to try a smaller
50mm camera lens. The smaller lens turned out to work well and was
less cumbersome than the telephoto lens. It had a slightly smaller
field of view, but sufficient to get both epsilon and lambda Aurigae
in the image.

Figure
6
50 mm Assembly Mounted on Telescope for Tracking

Figure
7
50mm Assembly With Filter Slide and BVRI Filters
Figure 8
50mm F/2.0 Field of View
The
Experiment
For
this experiment AutoStar Envisage was used to capture the images and
AIP4WIN for the image processing.
Pitfalls
While
quality BVRI CCD photometry can be done using this set up there are
some pitfalls.
Peak
Pixel Value
With
the short focal length sharp focusing can produce very high maximum
pixel values for a star. With a 16 bit system the peak maximum is
limited to 65,535 ADU counts. That is well beyond the linearity of
the CCD, however. Tests using multiple images of epsilon Aurigae with
increasing exposure times produced the graph in Figure 9.

Figure 9
Linearity Test Maximum Star Pixel ADU Counts versus Exposure Time
The
peak or maximum pixel value for the star MUST be in the linear region.
Values under 55,000 ADU counts are in the linear region. This value
can be controlled by reducing the exposure time. Typical exposure
times for this set up are 2.0 seconds for the B and I filters and
1.0 seconds for the V and R filters. These times require the image
to be defocused as noted below.
Under
Sampling
Because
of the very sharp focusing of the short focal length, star images
can be severely under sampled. While this produces a very nice visual
image, it will reduce the photometry quality drastically. A way around
this is to defocus the image. There is a problem is with how to tell
when it is defocused enough. One way to do this is to adjust the focus
for a maximum Histogram reading (as long as it is below 65,535). This
will be the sharpest focus. Note the value and then readjust the focus
until the Histogram reads half that value or a bit under. This will
spread the star's image over more pixels. Focusing the 50 mm camera
lens is extremely touchy, but with a bit of practice one can do this.
The defocused image will not look good, but if done properly will
produce good photometric data. This needs to be done with each filter.
While the filters may be parafocal (or approximately) with the short
focal length minor difference will be amplified so the procedure must
be done for each filter. When the focus is set, take some sample images
at different exposure times and check the peak pixel values for epsilon
Aurigae. They should be under 40,000. Use the exposure time that produces
peak/maximum pixel values slightly under 40,000 ADU counts. Figure
10 shows a sample B image that has been defocused. Not the Histogram
count is 31,965. Figure 11 shows the same image focused and with a
Histogram count of 61,991. The defocusing must be done for each filter
each night. Be sure to subtract dark frames for the same exposure
for all the images.

Figure 10
B Filter Image Defocused (Histogram =31,965 ADU Counts)

Figure 11
B Filter Image Focused (Histogram = 61,991 ADU Counts)
Scintillation
With
one and two second exposure times atmospheric scintillation becomes
a big problem. To get around this multiple images are taken and stacked.
For the 2 second exposures 30 images should be stacked. For the 1.0
second exposures, 60 images should be stacked.
Dark
Frames and Flat Fielding
Be
sure to take dark frames for the exposure times (1.0 and 2.0 seconds)
and subtract them. Flat fielding was not done, but may improve the
quality of the data.
Image
Processing
For
Image Processing, AIP4WIN was used. AutoStar Image Processing could
also be used with a slightly different procedure. Remember with AutoStar
Image Processing the aperture and Annulus settings are diameter where
as AIP4WIN are radii.
Figure 12 shows
the AIP4WIN image when first opened. While you can work with it as
it, it is sometimes easier to adjust the "-B" value to make it darker
as seen in Figure 13.

Figure 12
AIP4WIN Initial Image
When
extracting the star - sky ADU counts from the images, use the AIP4WIN
Analysis option to see how the star's image is spread out. To start
the measurements select Photometry from the Measure pulldown menu
and the Single Image. See Figure 13.

Figure 13
AIP4WIN Star Data
Allow
an aperture setting that is at least 1 pixel radii beyond the floor
of the star's reading. AIP4WIN uses a default aperture of 6.0, but
a large aperture should be used for these defocused images. An aperture
setting of 7.0 pixel radii is suggested as a starting point. Depending
on how defocused the image is it may be necessary to increase that
to 7.5 or even 8.0. The default 9.0 and 15.0 for the Annulus can stay
fixed. Check the star's profile using the "Photometric Analysis" profile
tool. See Figure 14. This can be selected by selecting the "Analysis"
checkbox in the "Single Image Photometry" window." See Figure 15.

Figure 14
Photometric Analysis Profile With Default Settings

Figure 15
Single Image Photometry Window
Data Reduction
The
Star - Sky value should be noted (48,656.6 ADU Counts in Figure 14)
for epsilon and lambda Aurigae along with the UT of the exposure.
Note that the PV max value is less than around 40,000 ADU Counts (11,721.92
in Figure 14).
Figure
16 shows the Profile and ADU counts for lambda Aurigae (Star - Sky
= 48,656.6 ADU Counts with a Maximum pixel value of 11,721.92 ADU
Counts, well in the linear region of the detector)

Figure 16
AIP4WIN
Comparison Star Data
Figure
17 shows the Image's FITS Header where the UT of the exposure can
be seen (03:24:23 as seen in Figure 17). This is selected from the
Edit pulldown menu and then FITS HEADER.

Figure 17
AIP4WIN FITS Header Data Reduction
All
the data should be logged in. Figure 18 shows a suggested form for
logging the data/ The Max and FWHM values are for reference and not
used in the data reduction.

Figure 18
Sample Data Form
Once
the data has been entered in the Data Form it can then be entered
into a data reduction program. While it is possible to enter the data
directly without the form, having the form is good for comparing conditions
and data as well as a backup.
Various
programs can be used for the data reducing. At the Hopkins Phoenix
Observatory we use FileMaker Pro Database program. We developed the
database program which allows entry of data, does the data reduction,
archives the data and allows lists and export for plotting. Figure
19 shows the initial data entry screen.

Figure 19
Data Reduction Program Initial Data
Figure
20 shows the data entry layout. This is where the program and comparison
star ADU Counts are entered. The counts per second and raw magnitudes
calculated.

Figure 20
Data Reduction Program Star Data Entry
Figure
21 shows the reduced data layout. Individual bands are calculated.
The Extraterrestrial magnitudes for both the program and comparison
star are calculated. A differential magnitude is then determined and
the normalized program star magnitude calculated. This is done three
times for each filter. The average program star's magnitude is then
calculated along with the standard deviation as an indication of data
spread.

Figure 21
Data Reduction Program Reduced Data
Figure
22 shows a summary of the calculated Air Masses, Hour Angles, average
comparison star counts per second and raw magnitudes in each filter,
a list of the transformation coefficients zero points and comparison
star's published magnitudes, and night extinction for each band as
determined by the comparison star.

Figure 22
Data Reduction Program Constants Summary
Figure
23 shows a list of observational data.

Figure 23
Data Reduction Program Star Data List
Typical data compared
to the photon counting data take the same evening of 18/19 January
2008 is seen in Table 1.
|
|
|
|
|
|
Photon
|
|
|
|
CCD
|
|
|
|
Counting
|
|
|
Filter
|
Magnitude
|
SD
|
|
Filter
|
Magnitude
|
SD
|
|
B
|
3.6072
|
0.0164
|
|
B
|
3.6052
|
0.0011
|
|
V
|
3.0505
|
0.0056
|
|
V
|
3.0472
|
0.0034
|
|
R
|
2.5429
|
0.0019
|
|
R
|
N/A
|
N/A
|
|
I
|
2.2211
|
0.0079
|
|
I
|
N/A
|
N/A
|
Conclusion
While
the Hopkins Phoenix Observatory will be
continuing UBV observations using a single channel PMT based photon
counter, the experiment with the camera lens and DSI Pro indicated
quality BVRI CCD photometry can be done.