Apparatus and Setup
You will use ../data/photometry_standard_stars.csv, containing V-band aperture counts for three photometric standard stars observed in the same field and night, plus one unidentified target measured with the identical aperture and sky annulus.
Materials and Data
| Star | Filter | Counts | Exp. time (s) | Catalog V mag |
|---|---|---|---|---|
| STD-A | V | 150000 | 30 | 10.21 |
| STD-B | V | 62000 | 30 | 11.17 |
| STD-C | V | 24000 | 30 | 12.2 |
| TARGET-X (unknown) | V | 45000 | 30 | ? |
Procedure
- Compute the count rate (counts/exposure time) for STD-A and derive the zero point ZP using m = −2.5log10(rate) + ZP and the catalog magnitude.
- Apply your derived ZP to STD-B and STD-C and compare your predicted magnitudes to the catalog values. State the agreement in millimagnitudes.
- If the agreement for either star is worse than about 0.02 mag, identify a plausible cause (aperture too small, contaminating neighbor, misreported exposure time) before proceeding.
- Apply your verified ZP to TARGET-X and report its calibrated V magnitude.
- Estimate the uncertainty on the TARGET-X magnitude from Poisson statistics on its count rate, and combine it in quadrature with a zero-point uncertainty of ±0.02 mag (Lecture 13’s method).
Analysis and Uncertainty
Report TARGET-X’s magnitude as m ± σ_total, following the quadrature-combination rule, not as a bare number.
Deliverables
- Derived zero point with the arithmetic shown.
- Verification table comparing predicted and catalog magnitudes for STD-B and STD-C.
- TARGET-X magnitude with combined uncertainty.
- One sentence stating whether you trust this zero point for other targets in the same field, and why.
Assessment Criteria
- Zero point correctly derived from STD-A.
- Verification against STD-B/STD-C shown with numeric agreement stated.
- TARGET-X magnitude correct to the precision of the input data, with an uncertainty explicitly combined in quadrature.
References and Provenance
- OpenStax Astronomy 2e (local reference copy: references/openstax-astronomy-2e.pdf), Chapter 17.1 (the brightness of stars).
- Dataset:
materials/ASTR210/data/photometry_standard_stars.csv, logged inreference-log.md.