{ "problem_id": "EARTH1", "critical_hopf_stiffness_GPa_m": 6.0435, "marginal_hopf_period_days": 5.0707, "first_trough_friction_anomaly": -0.005255, "first_rebound_peak_time_hr": 85.5048, "first_rebound_peak_normalized_velocity": 1.58969 }