{
  "problem_id": "EARTH2",
  "critical_basal_rayleigh_darcy_number": 45.07757,
  "fundamental_mode_peak_velocity_height_zeta": 0.422529,
  "fundamental_mode_peak_temperature_height_zeta": 0.515413,
  "first_overtone_marginal_rayleigh_darcy_number": 271.6491,
  "first_overtone_velocity_nodal_height_zeta": 0.488146
}