Task 337: Uranus Escape Satellite Perturbation Analysis

Status: DONE

Description

Investigate whether Uranus escape trajectory is a simple hyperbolic orbit or if Uranian satellite gravitational perturbations are significant.

Source

Human directive (AGENT_PROMPT.md phase 25): "天王星脱出の際、単純な双曲線軌道になっているんだろうか？他の衛星の影響も割とあるのではないか？"

Deliverables

• Analysis of Uranian satellite (Miranda, Ariel, Umbriel, Titania, Oberon) gravitational influence on escape trajectory
• Quantify perturbation magnitude vs hyperbolic excess velocity
• Update EP05 report with perturbation analysis paragraph

Findings

• Added URANUS_MOON_GM constants to orbital.ts (JPL SSD, Jacobson & Park 2025)
• Implemented uranianSatellitePerturbationAnalysis() in ep05-analysis.ts
• Results: total max perturbation 8.6 m/s (0.57% of escape ΔV 1.51 km/s)

- Titania dominates (8.58 m/s due to Hill sphere crossing at departure)

- All other moons contribute <0.05 m/s each

- Maximum deflection angle: 0.095° (Titania)

• Conclusion: 2-body approximation is fully adequate; satellite perturbation is negligible
• +6 TDD tests, +1 article content validation test; all 2245 pass