ASTR 120 Problem Set 07

Lectures 13-14: Habitability, planetary protection, and mission design

Due and Scope

Due: [insert date]. Submit evidence matrices, calculations, and a mission traceability table.

Learning objectives: evaluate habitability claims using environment, energy, chemistry, stability, and evidence quality; distinguish habitability from life detection; connect mission questions to measurements, instruments, uncertainties, and planetary protection.

Instructions: Keep student-facing claims cautious. Cite any outside mission example used. Revisions may be resubmitted with a change note.

Problems

1. Habitability Evidence Matrix 25 points

A press release says a newly studied icy moon is "possibly habitable." Available observations: surface temperature 80 K; induced magnetic signal consistent with a conductive layer; plume-like feature detected once; surface salts near fractures; strong radiation environment; orbital resonance with a neighboring moon.

  1. Create a matrix with columns for liquid environment, energy source, chemistry, stability, and evidence quality.
  2. For each category, list supporting evidence and one uncertainty.
  3. Assign each category a score from 0 to 2 and justify the score.
  4. Write a cautious conclusion that does not claim life detection.

Deliverables: scored matrix and 180-220 word conclusion.

2. Insolation and Habitable-Zone Caution 25 points

A planet orbits a star with luminosity \(0.25L_\odot\) at 0.50 AU. A second planet orbits a Sun-like star at 1.60 AU. Use relative flux \(S/S_E=(L/L_\odot)/a^2\).

  1. Compute relative flux for both planets.
  2. Compare each with Earth.
  3. Explain why flux alone is insufficient for habitability.
  4. List four follow-up measurements needed before treating either planet as a serious habitability candidate.

Deliverables: flux calculations and follow-up measurement list.

3. Planetary Protection Risk Chain 25 points

A lander is proposed for a potentially habitable icy moon. The prelaunch bioburden is estimated at \(3.0\times10^4\) viable spores. Cleaning reduces this by a factor of \(10^3\). Cruise radiation reduces survivors by another factor of 50. Assume a 10% chance that remaining organisms reach a warm, wet niche after landing.

  1. Estimate the expected number of viable organisms at landing.
  2. Estimate the expected number reaching a warm, wet niche.
  3. Explain why even a small expected value matters scientifically.
  4. State two mission-design choices that reduce forward-contamination risk.

Deliverables: calculation chain and planetary-protection interpretation.

4. Mission Traceability Table 25 points

Design a mission concept to test this science question: "Does Enceladus exchange material between a subsurface ocean and space?" You have room for three investigations.

  1. For each investigation, state the measurement, instrument type, expected observable, and primary uncertainty.
  2. Classify the mission architecture as flyby, orbiter, lander, sample return, or remote telescope, and justify the tradeoff.
  3. Identify one validation measurement that would disconfirm your preferred interpretation.
  4. State one planetary-protection requirement relevant to your architecture.

Deliverables: traceability table and 200-250 word mission rationale.

OpenStax Companion Practice

Recommended for additional practice: OpenStax Astronomy 2e, Chapter 12, Review Questions 3 and 12; Thought Questions 13, 16, and 19; Chapter 13, Thought Questions 16-18; Chapter 14, Review Questions 8-9 and Thought Question 19. These entries support synthesis and mission reasoning; verify numbering against the adopted PDF before LMS release.

References and Data Sources