{
  "source": "NASA/TP-2000-210387",
  "record": "https://ntrs.nasa.gov/citations/20000095934",
  "locators": "Eq71 physical25/printed19; representative assumptions physical26/printed20; Figure3 physical28/printed22",
  "equation": "Ma_boundary=sqrt((2/(gamma-1))*(((gamma+1)/2)*(T3lim/Ta)*(1-chi*eta)/(1-eta)-1))",
  "inputs": {
    "T3lim_K": 1600.0,
    "Ta_K": 220.0,
    "chi": 0.05,
    "gamma": 1.4
  },
  "gamma_status": "Explicit reconstruction assumption; numeric value not confirmed in inspected source passages",
  "status": "Conditional equation reconstruction, not exact source curve digitization, author code or measured operating envelope",
  "visible_source_trace_endpoint_eta_approx": 0.78,
  "trace_endpoint_status": "Approximate visual reading of the raster curve; no point table is supplied. The dashed segment marks the calculation beyond this visible source trace, not measured or source-tabulated values.",
  "visual_comparison": [
    {
      "extraction": 0,
      "calculated": 6.215815605080611,
      "approximate_visual_reading": 6.3,
      "visual_allowance": 0.2,
      "within_visual_allowance": true
    },
    {
      "extraction": 0.2,
      "calculated": 6.999999999999999,
      "approximate_visual_reading": 7,
      "visual_allowance": 0.2,
      "within_visual_allowance": true
    },
    {
      "extraction": 0.4,
      "calculated": 8.14080630359962,
      "approximate_visual_reading": 8.2,
      "visual_allowance": 0.2,
      "within_visual_allowance": true
    },
    {
      "extraction": 0.6,
      "calculated": 10.040825753800423,
      "approximate_visual_reading": 10.2,
      "visual_allowance": 0.3,
      "within_visual_allowance": true
    }
  ],
  "limits": [
    "Four loose image-reading checks are not independent model validation or statistical uncertainty.",
    "Visible source trace ends near \u03b7\u22480.78; model reconstruction continues to \u03b7=0.8 as a dashed calculated segment. No equality to an exact source endpoint is claimed.",
    "Only burner-entry temperature/Mach constraint; no thrust, efficiency, stable combustion, electrical feasibility or flight prediction.",
    "Subsonic region meets this constraint only; other physical requirements remain."
  ]
}