Task 369: EP03 Navigation Crisis — Relativistic Stellar Aberration Analysis

Status: DONE

Goal

Analyze whether relativistic stellar aberration at 3,000 km/s (~1% c) could explain the 1.23° discrepancy between stellar navigation and inertial navigation in EP03.

Findings

Aberration calculation (verified by gpt-5.2)

Maximum single-star aberration: arcsin(β) = arcsin(3000/299792.458) ≈ 0.573°
This explains ~47% of the 1.23° discrepancy directly
Aberration alone CANNOT reach 1.23° — it caps at 0.573° per star

System-level failure hypothesis

At β ≈ 1%, star-tracker operation exceeds design assumptions:

Velocity vector input error → aberration correction residual
Non-rigid sky distortion (Lorentz mapping ≠ rotation) → pattern match failure
Doppler shift (±1%) → detection/weighting bias
CCD degradation from cosmic rays (mentioned in show)

Key insight

INS (accelerometers/gyros) is unaffected by aberration — exactly matching the show's "two systems disagree" depiction. きりたん's "星は嘘をつかないか" (16:12) is literally physically correct: relativistic effects made the stars "lie."

Changes

ts/src/relativistic-analysis.ts: Added analyzeStellarAberration() with velocity sweep data
ts/src/relativistic-analysis.test.ts: +8 stellar-aberration tests
reports/data/episodes/ep03.md: Added "航法系不一致の物理的原因 — 相対論的光行差仮説" section with chart data
reports/data/summary/cross-episode.md: Added "例外: 相対論的光行差と EP03 航法危機" subsection
ts/src/article-content-validation.test.ts: +3 content validation tests
Total: +11 new tests, all 2,384 TS tests pass