{
  "run": "561-planet-equilibrium-temperature",
  "as_of": "2026-10-04",
  "source": "NASA NSSDCA Planetary Fact Sheet (nssdc.gsfc.nasa.gov/planetary/factsheet/) -- distance from Sun + mean temperature from the comparison table, Bond albedo from each body's own fact-sheet page, fetched live",
  "n": 10,
  "constants": {
    "solar_constant_w_m2_at_1au": 1361.0,
    "stefan_boltzmann": 5.670374e-08
  },
  "naive_law_fit": {
    "slope": -0.4752,
    "slope_ci95": [
      -0.6082,
      -0.3421
    ],
    "theoretical_slope": -0.5,
    "r2": 0.8945,
    "p": 3.545070309354073e-05
  },
  "full_fit": {
    "slope": 1.0817,
    "slope_ci95": [
      0.1043,
      2.0591
    ],
    "intercept": 55.2,
    "r2": 0.4488,
    "p": 0.03406318684822354,
    "n": 10
  },
  "drop_venus_fit": {
    "slope": 0.9076,
    "slope_ci95": [
      0.7745,
      1.0408
    ],
    "r2": 0.9738,
    "p": 8.583486580801855e-07,
    "n": 9
  },
  "inert_vs_rest": {
    "inert_bodies": [
      "MERCURY",
      "MOON",
      "MARS"
    ],
    "inert_mean_resid_k": -6.1,
    "rest_bodies": [
      "VENUS",
      "EARTH",
      "JUPITER",
      "SATURN",
      "URANUS",
      "NEPTUNE",
      "PLUTO"
    ],
    "rest_mean_resid_k": 101.6,
    "welch_t": -1.5705835377635684,
    "welch_p": 0.16669103421199458
  },
  "table": [
    {
      "body": "MERCURY",
      "d_au": 0.387,
      "bond_albedo": 0.068,
      "t_pred_k": 439.6,
      "mean_temp_k": 440.2,
      "resid_k": 0.6
    },
    {
      "body": "VENUS",
      "d_au": 0.723,
      "bond_albedo": 0.77,
      "t_pred_k": 226.6,
      "mean_temp_k": 737.2,
      "resid_k": 510.5
    },
    {
      "body": "EARTH",
      "d_au": 1.0,
      "bond_albedo": 0.294,
      "t_pred_k": 255.1,
      "mean_temp_k": 288.2,
      "resid_k": 33.0
    },
    {
      "body": "MOON",
      "d_au": 1.0,
      "bond_albedo": 0.11,
      "t_pred_k": 270.3,
      "mean_temp_k": 253.2,
      "resid_k": -17.2
    },
    {
      "body": "MARS",
      "d_au": 1.524,
      "bond_albedo": 0.25,
      "t_pred_k": 209.8,
      "mean_temp_k": 208.2,
      "resid_k": -1.7
    },
    {
      "body": "JUPITER",
      "d_au": 5.204,
      "bond_albedo": 0.343,
      "t_pred_k": 109.8,
      "mean_temp_k": 163.2,
      "resid_k": 53.3
    },
    {
      "body": "SATURN",
      "d_au": 9.572,
      "bond_albedo": 0.342,
      "t_pred_k": 81.0,
      "mean_temp_k": 133.2,
      "resid_k": 52.1
    },
    {
      "body": "URANUS",
      "d_au": 19.164,
      "bond_albedo": 0.3,
      "t_pred_k": 58.2,
      "mean_temp_k": 78.2,
      "resid_k": 20.0
    },
    {
      "body": "NEPTUNE",
      "d_au": 30.18,
      "bond_albedo": 0.29,
      "t_pred_k": 46.5,
      "mean_temp_k": 73.2,
      "resid_k": 26.6
    },
    {
      "body": "PLUTO",
      "d_au": 39.481,
      "bond_albedo": 0.72,
      "t_pred_k": 32.2,
      "mean_temp_k": 48.2,
      "resid_k": 15.9
    }
  ]
}