1. Stacking gain 15 points
A single exposure gives SNR = 15. Compute the expected SNR after stacking 16 independent, registered exposures.
Evaluate image-combination gain, cosmic-ray robustness, and observing cadence.
A single exposure gives SNR = 15. Compute the expected SNR after stacking 16 independent, registered exposures.
One frame out of 16 contains a cosmic-ray spike of 8000 counts in the target pixel. Compute the bias this introduces into a simple mean combine of all 16 frames.
An event lasts 3.4 hours. A proposed cadence images the field every 45 minutes. Compute how many samples this cadence captures across the event and judge whether that is adequate to resolve ingress, minimum, and egress.
A periodic signal has period 5.2 hours. A 6-hour cadence is proposed. Determine whether this cadence can recover the signal, and propose a cadence (such as 1 hour) that would.
Submit a clear solution with equations, units, labeled quantities, and a short narrative interpretation for each problem. Show every reduction step and state your assumptions explicitly; a correct final number without visible work receives partial credit at most.
Verify against OpenStax Astronomy 2e Chapter 6.3 (detectors) and Chapter 19.3 (variable stars, cadence) before instructional release.
materials/ASTR210/data/ where referenced above.