Task 147: EP01 On-Screen Data Cross-Reference with Analysis

Status: DONE

Motivation

Task 146 extracted precise orbital parameters from EP01's on-screen navigation displays.

These should be cross-referenced with our existing EP01 analysis to:

1. Validate computed values against in-show depiction
2. Add new parameters (110% thrust, V∞, azimuth) to the analysis
3. Update the EP01 report with screenshot-sourced evidence

Key Findings

V∞ Verification — 0.67% Error

• On-screen: v = 17.8 km/s at 20 RJ, V∞ = 12.0 km/s
• Computed: v = 17.92 km/s at 20 RJ (vis-viva with V∞ = 12.0)
• Difference: 0.12 km/s (0.67%) — navigation display is physically accurate

Perijove Capture — Minimum ΔV via Oberth Effect

• -2.3 km/s burn at 1.5 RJ drops velocity from 50.07 to 47.77 km/s
• Escape velocity at 1.5 RJ = 48.61 km/s
• Ship velocity drops BELOW escape → captured into bound Jupiter orbit
• This is the near-minimum ΔV for capture from V∞=12.0 km/s at this perijove

Ganymede Approach

• After capture, ship passes through Ganymede orbit at 12.48 km/s
• Ganymede orbital velocity: 10.88 km/s
• Relative velocity: 1.60 km/s — manageable for final approach burn

Mars Departure Distance

• 52° apparent diameter → ~6,950 km from center (~560 km above surface)
• Consistent with being just past the 50,000 km RCS-only zone

Thrust Linearity

• 65% → 6.3 MN, 100% → 9.8 MN, 110% → 10.7 MN
• Relationship is nearly linear across the full range

Changes Made

• Added ep01-exploration-04 to EP01 report (HUD data cross-reference)
• Added ep01-quote-07 (110% thrust) and ep01-quote-08 (Mars diameter)
• Created reports/data/calculations/ep01_onscreen_crossref.json

Dependencies

• Task 146 (video frame OCR) — DONE
• Task 006+013 (EP01 analysis) — DONE