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AUTOSTAR CCD PHOTOMETRY 61
Where:
i
o
, r
o,
v
o, and
i
o
are magnitudes corrected for extinction
k'
vi
= (v–i) Extinction Coefficient
k'
v
= (v) Extinction Coefficient
k'
vr
= (v–r) Extinction Coefficient
k'
bv
= (b–v) Extinction Coefficient
k'
ri
= (r–i) Extinction Coefficient
X = Air Mass for the observation
The BVRI system defined here uses one simple magnitude, V, and
four simple color indices, (V – I), (V – R), (R – I), and (B – V). In
some texts, the system is defined not only in these terms but also
by an alternative set consisting of the four simple magnitudes, B,
V, R, and I.
Note: (V – I) is used in the following equations, but actually is
not necessary as final values for (V – I) can be determined from
the (V – R) and (R – I) values.
Determining the Extinction Coefficients
There are three cases for determining extinction coefficients: data
used for differential photometry; data when color transformation
coefficients are not known; and data when they are known. In each
case, the equations are of the form for a straight line:
Y = MX + B
Where: M is the slope and is equal to the filter band's extinction
coefficient. Because we are only interested in extinction for use in
determining the color coefficients, we will just use the first case as
it is simpler:
Slope = Δ Magnitude / Δ Air Mass
For this case, a single standard star is used. The star should be
observed at varying air masses (X = 1.0 to 1.5 or greater). A
minimum of four and if possible a dozen or more data point are
suggested. We have chosen to use the M67 star cluster to obtain
data on stars that have well-determined magnitudes.
- AutoStar 1
- CCD Photometry 1
- TABLE OF CONTENTS 5
- LIST OF FIGURES 8
- LIST OF FIGURES (Contd.) 9
- LIST OF TABLES 10
- 1. Introduction 11
- 2. Data Acquisition 13
- 2.3 Setting Directories 15
- 2.4 Taking Dark Frames 16
- 2.5 Taking Star Images 18
- 2.5.1 Imaging Procedure 18
- Figure 2-13 22
- DSI1 Folder Tab 22
- Figure 2-14 22
- Tracking Star Selection Box 22
- 2.5.2 Flat Frames 25
- 3. Raw Data Reduction 27
- 3.2 Calibrating the Images 28
- 3.3 Differential Magnitudes 31
- Centering Box Size Settings 34
- 3.4 ImageInfo File 36
- 4. Additional Data Reduction 37
- 4.2 DATA LIST 38
- 5. Advanced Data Reduction 39
- APPENDIXES 41
- APPENDIX A 43
- Modifying the DSI Pro Camera 43
- Filter Wheel 46
- CCD Photometric Filters 47
- Cooling the DSI Pro 49
- TEC Cooler Mods 50
- Parts List 51
- Wiring and Schematics 53
- Conclusion 54
- Optional Accessories 54
- APPENDIX B 55
- Calculating the Air Mass 55
- Getting Started 56
- Star's Declination (δ) 57
- LST Example 62
- Determining the Air Mass 63
- Appendix C 65
- APPENDIX D 69
- Terms and Definitions 70
- Equations 70
- – V). In 71
- APPENDIX E 77
- Observational Data 78
- Coefficient Calculation 80
- Standard Star Magnitudes 82
- Coefficient Determination 85
- Determining β and ζ 87
- Determining γ and ζ 89
- Determining ε and ζ 90
- Determining μ and ζ 92
- APPENDIX F 95
- Least Squares Method 95
- APPENDIX G 99
- FITS Header 99
- Header Details 100
- APPENDIX H 101
- Light Box Construction Notes 102
- Plans and Further Details 105
- HPO Light Box 105
- Suggested Projects 109
- APPENDIX I 109
- Solar Photometry 110
- Planetary Photometry 110
- Comet Photometry 111
- Stellar Photometry 111
- Nova and Supernova Photometry 112
- Asteroid Photometry 112
- APPENDIX J 113
- References 113
- Web Resources 114
- INDEX (Contd.) 118
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