Eddington Luminosity Limit Calculator

Spherical radiative force/gravity balance 4πGMc/κwith independent applicable flux-mean opacity; not hydrogen-only fixed luminosity or actual accretion ceiling. Model only, not an ephemeris, measured stellar identity or observational guarantee.

Description

An ideal Eddington luminosity compares radiative acceleration with gravitational attraction.

An ideal Eddington luminosity compares radiative acceleration with gravitational attraction.1

Its opacity assumption determines the conditional limit. Use Eddington Luminosity Limit Calculator to evaluate the supplied inputs under the model explained below.

When to use Eddington Luminosity Limit Calculator

Use Eddington Luminosity Limit Calculator to evaluate the supplied inputs under the model explained below. Establish the units, measurement scope and model assumptions before entering values.

How to use Eddington Luminosity Limit Calculator and understand its results

  1. Establish the units, measurement scope and model assumptions before entering values.
  2. Enter Mass kg, Caller flux mean opacity m2 per kg using the field table and validation rules below, then run the tool.
  3. Read Ideal eddington luminosity watts; interpret the units, signs, ordering and unknown-value placeholders described below.
  4. Correct reported input errors and rerun. Apply successful results according to their specific meanings and check the assumptions before using them in a decision.
Input fieldMeaningValue typeRequirement
massKgMass kgnumberRequired; constraints below
callerFluxMeanOpacityM2PerKgCaller flux mean opacity m2 per kgnumberRequired; constraints below

Enter nonnegative mass in kg and positive flux-mean opacity in m²/kg. Return 4πGcM/opacity in W using G=6.6743e−11 and c=299792458 m/s. Zero mass returns zero. No opacity, accretion geometry or compositional assumption is inferred.

idealEddingtonW=4π×G×c×massKg/opacityM2PerKg

Use the field order, units and branch conditions described above.

Output fieldMeaningValue type
idealEddingtonLuminosityWattsIdeal eddington luminosity wattsnumber
json
{
  "input": {
    "massKg": 1,
    "callerFluxMeanOpacityM2PerKg": 1
  },
  "output": {
    "idealEddingtonLuminosityWatts": 0.2514411131137896
  }
}

Limitations and assumptions

Its opacity assumption determines the conditional limit. Apply the exact scope and assumptions explained above.

All listed fields require explicit values. Unexpected fields, incorrect types, nonfinite numbers and sparse arrays fail validation. Domain-specific bounds, alignments and supported tokens are explained above; extremely large inputs or outputs can also be rejected. Input errors differ from successful false results, empty match lists and unknown-evidence placeholders.

Alternative or Complementary methods

Use Main Sequence Lifetime Calculator for a related task: A power-law lifetime model combines mass with a reference lifetime and luminosity exponent.

Use Chandrasekhar Limit Checker for a related task: The ideal Chandrasekhar mass depends on the mean molecular weight per electron.

References

  1. Eddington Luminosity Limit Calculator — tool.io

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