ASTR 410 Problem Set 06: Scaling Relations: Tully-Fisher and Galaxy Structure and Inference with Galactic Surveys: quantitative reasoning

Student assignment ยท submit calculations and reproducible analysis

Objectives

Instructions

Show equations, units, intermediate steps, and a final interpretation. Code is required for the data question; include the input filename and software environment. Cite data and readings. Revisions and resubmissions are encouraged when accompanied by a change note.

Problem 1

Derive the governing relation used in Lecture 11 and state two assumptions. Apply it to the supplied data or constants; retain units.

Problem 2

Use the ASTR410 CSV associated with Unit 6 to make one plot, fit or transform the requested quantity, and report a sensitivity test that changes one modeling choice.

Problem 3

A colleague claims the displayed trend proves a unique physical explanation. Write a 250-word rebuttal that distinguishes observation, inference, and alternative models.

Problem 4

Challenge: compare the result with a second tracer or literature value. Identify whether the comparison is limited by measurement error, selection, or model mismatch.

Exact reading anchor

OpenStax Astronomy 2e, Chapter 25, Figuring for Yourself 25. These identifiers were checked against the local extracted problem index and the Chapter 25 exercise block; human spot-check against the adopted PDF remains required.

Deliverables

Written derivation, labeled plot, code or notebook, uncertainty statement, and bibliography. Total: 100 points.