{
  "model": "LFM Substrate with Galactic \u03c7 Environment",
  "timestamp": "2026-01-31T12:17:55.270797",
  "galactic_environment": {
    "a_gal": 1.9126503643519911e-10,
    "x_gal": 1.7658669167210026,
    "chi_gal": 1.1492123377447556,
    "v_circ": 220000,
    "R_sun": 2.5305199999999997e+20
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  "binaries": [
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      "separation_AU": 1000,
      "a_newton": 1.1863349234321829e-08,
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      "chi_internal": 1.0000416774902132,
      "chi_galactic": 1.1492123377447556,
      "chi_effective": 0.9984293758054338,
      "v_excess_predicted": 0.9992143793027769,
      "v_excess_observed": 1.0,
      "v_excess_error": 0.02,
      "within_2sigma": true
    },
    {
      "separation_AU": 3000,
      "a_newton": 1.3181499149246473e-09,
      "x": 12.169905014671405,
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      "chi_internal": 1.0033702677040983,
      "chi_galactic": 1.1492123377447556,
      "chi_effective": 0.988811258617148,
      "v_excess_predicted": 0.9943898926563705,
      "v_excess_observed": 1.0,
      "v_excess_error": 0.03,
      "within_2sigma": true
    },
    {
      "separation_AU": 5000,
      "a_newton": 4.74533969372873e-10,
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      "e_external": 0.403058682369922,
      "chi_internal": 1.025718259757348,
      "chi_galactic": 1.1492123377447556,
      "chi_effective": 0.984375824555961,
      "v_excess_predicted": 0.9921571571862802,
      "v_excess_observed": 1.02,
      "v_excess_error": 0.04,
      "within_2sigma": true
    },
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      "a_newton": 2.421091680473842e-10,
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      "chi_internal": 1.0955087761273603,
      "chi_galactic": 1.1492123377447556,
      "chi_effective": 1.0089642104954601,
      "v_excess_predicted": 1.0044721053844452,
      "v_excess_observed": 1.05,
      "v_excess_error": 0.05,
      "within_2sigma": true
    },
    {
      "separation_AU": 10000,
      "a_newton": 1.1863349234321826e-10,
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      "chi_internal": 1.3540927495538408,
      "chi_galactic": 1.1492123377447556,
      "chi_effective": 1.1960521433443363,
      "v_excess_predicted": 1.0936416887373746,
      "v_excess_observed": 1.1,
      "v_excess_error": 0.06,
      "within_2sigma": true
    },
    {
      "separation_AU": 15000,
      "a_newton": 5.2725996596985894e-11,
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      "chi_internal": 2.284717448694924,
      "chi_galactic": 1.1492123377447556,
      "chi_effective": 1.4565840213533685,
      "v_excess_predicted": 1.2068902275490379,
      "v_excess_observed": 1.18,
      "v_excess_error": 0.08,
      "within_2sigma": true
    },
    {
      "separation_AU": 20000,
      "a_newton": 2.9658373085804565e-11,
      "x": 0.2738228628301066,
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      "e_external": 6.448938917918752,
      "chi_internal": 3.7864329903364835,
      "chi_galactic": 1.1492123377447556,
      "chi_effective": 1.659595502106166,
      "v_excess_predicted": 1.2882528874821768,
      "v_excess_observed": 1.25,
      "v_excess_error": 0.1,
      "within_2sigma": true
    },
    {
      "separation_AU": 30000,
      "a_newton": 1.3181499149246473e-11,
      "x": 0.12169905014671406,
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      "chi_internal": 8.277616874797763,
      "chi_galactic": 1.1492123377447556,
      "chi_effective": 1.8816015064876692,
      "v_excess_predicted": 1.3717148050843766,
      "v_excess_observed": 1.35,
      "v_excess_error": 0.15,
      "within_2sigma": true
    }
  ],
  "n_pass": 8,
  "overall_verdict": "PASS"
}