ASTR 470 Problem Set 06: Instrument selection for a transient

Student assignment ยท high-energy astrophysics

Objectives

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 1

Derive the governing relation used in Lectures 11-12. Apply it to the supplied mission_specs.csv; show dimensions, intermediate values, and one limiting-case check.

Problem 2

Use mission_specs.csv to make a labeled plot or comparison table. Test this specific alternative: select an instrument for a burst using bandpass, response, localization, and reaction-time constraints. Explain which conclusion changes and which remains robust.

Problem 3

A skeptical reviewer says: 'Instrument selection for a transient 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: Official Chandra, NICER, Swift, and Fermi pages listed in reference-log.md..

Computed reference check

S/N = 14.142 The Poisson expression assumes independent counts and a stable background estimate.

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.