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BVRI CCD Photometry Observing Program

DO Dra
DO Draconis - Four stacked 30-second exposures of the field on Nov. 5/6 with a 10" f/6.3 LX200. Image by Walter MacDonald (MDW).

The AAVSO has a program to monitor selected stars in the B, V, R, and I filters using CCD observations. We began the program with a limited number of stars for two reasons. First, we had developed finder charts with comparison stars in the four filters for only 8 stars. Second, we wished to see how well data can be combined from different observers with different telescopes, cameras, and software. Please send BVRI data only for the stars for which we have BVRI charts: S Per, U Ori, VX Gem, DH Dra, VX UMa, W Leo, RU Vir, and RR Boo.

Each night you observe, you should take bias images, dark images, and flat fields with each of the filters you intend to use. All images should be processed before you do the photometry (bias and dark subtracted and divided by the flat). We suggest that you take a minimum of three images in each filter for each star you observe. In order to transform the images to a standard system, you need to observe with at least two different filters in each session.

Choose three comparisons for each variable you observe and find the magnitude of the variable by comparing it to each of the three comparison stars. The data you enter on the report form should be corrected using your transformation instructions.

First you will get differential magnitudes between the variable and each of the three comparisons. Then, obtain the differential colors (B-V, V-R, R-I). Then, using the transformation equations, transform the colors. Calculate the color- corrected values of the differential magnitudes. Finally, add the calibrated value (from the AAVSO CCD chart) for each of your three comparisons to obtain the correct magnitude of your variable for each filter you have observed. An example calculation for observations with the V, R, and I filters is given on the next page.

If you have observed only with the R and I filters, you will need only the R-I and R transformation equations. If you observe only with V and R, use the transformation equation for Tv and Tvr. If you observe with the B filter, then you must also transform B-V.


Sample Calculation of Transformed Magnitudes

Instrumental Magnitudes

Standard Magnitudes

v

r

i

V

R

I

RR Boo

21.284

18.508

16.974

Comp 2

19.118

17.599

17.519

9.661

9.046

8.466

Comp 4

22.516

20.999

20.969

13.073

12.522

11.980

Comp 6

23.151

21.625

21.649

13.756

13.154

12.625

RR Boo - Comp 2

2.166

0.909

-0.545

RR Boo - Comp 4

-1.232

-2.491

-3.995

RR Boo - Comp 6

-1.867

-3.117

-4.675

Differential Colors

v-r

r-i

RR Boo - Comp 2

1.257

1.454

RR Boo - Comp 4

1.259

1.504

RR Boo - Comp 6

1.250

1.558

Assume your transformation coefficients are as follows:

Tvr = 0.95; Tri = 1.00; Tr = 0.09 and: V-R = Tvr * (v-r); R-I = Tri * (r-i); and R = r + Tr * (R-I)

to transform the instrumental differential colors to standard differential colors:

Transformed Differential Colors

V-R

R-I

R

RR Boo - Comp 2

1.194

1.454

 1.040

RR Boo - Comp 4

1.196

1.504

-2.356

RR Boo - Comp 6

1.188

1.558

-2.977

Using V = (V-R) + R and I = R - (R-I) to obtain the transformed differential magnitudes:

Transformed Differential Magnitudes

V

R

I

RR Boo - Comp 2

 2.234

 1.040

-0.414

RR Boo - Comp 4

-1.160

-2.356

-3.860

RR Boo - Comp 6

-1.789

-2.977

-4.534

Use the standard magnitudes of the comparison stars to obtain the magnitudes of the variable star:

Magnitudes of RR Boo

V

R

I

Based on Comp 2

11.895

10.086

8.052

Based on Comp 4

11.913

10.166

8.120

Based on Comp 6

11.967

10.177

8.090

 
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