Problem 1
Derive the governing relation used in Lectures 01-02. Apply it to the supplied xray_spectrum.csv; show dimensions, intermediate values, and one limiting-case check.
Objectives
- Derive and apply a high-energy astrophysics model.
- Use units, approximations, and uncertainty explicitly.
- Interpret a real system or verified mission specification without overclaiming.
- Communicate a reproducible analysis and limitation.
Instructions
Submit four complete responses, code or reproducible pseudocode, one labeled figure/table, and a provenance note. Report SI units before converting to astronomical units. Arithmetic slips receive partial credit only when the model and units are correct. Revisions with a change log are encouraged.
Problem 2
Use xray_spectrum.csv to make a labeled plot or comparison table. Test this specific alternative: fit a thermal scale, compare a power-law alternative, and document response assumptions. Explain which conclusion changes and which remains robust.
Problem 3
A skeptical reviewer says: 'X-ray spectral temperature and response proves the source physics directly.' Write a 250-word response separating observed, calibrated, inferred, and model-dependent claims. Use two concrete entries from the data record.
Problem 4
Transfer problem: design a follow-up measurement using a named instrument or archive. Specify band/energy or timing requirement, expected signal, background/systematic risk, and a decision rule. Cite the exact source anchor: OpenStax 5.2 and Chandra mission hardware..
Computed reference check
Lacc = 2.7875e+30 W and Lacc/(mdot c^2) = 0.49222 The radius is an illustrative inner-disk scale; spin and relativistic efficiency are omitted.
Exact practice anchors: OpenStax Astronomy 2e, Sections 23.4, 24.5, 24.6, 27.1, or 20.4 as appropriate; see references/source-indexes/openstax-astronomy-2e-problem-index.md for indexed exercise wording. Human spot-check against the adopted edition is required.
Deliverables
100 points: derivation and units 30, data/model analysis 30, critique and evidence 20, transfer design 20.