Milne–Eddington approximation
E818289
The Milne–Eddington approximation is a simplified model of stellar atmospheres that assumes constant physical properties with depth to make the radiative transfer equations analytically tractable.
All labels observed (3)
| Label | Occurrences |
|---|---|
| Eddington approximation for radiative transfer | 1 |
| Milne–Eddington approximation canonical | 1 |
| Milne–Eddington atmosphere | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T9756656 — resolving that mention is where its identity was fixed. The disambiguator weighed these candidate entities and picked the highlighted one (or “None”, minting a new entity). This is how homonymy is resolved: the same surface form can point to different entities.
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Milne–Eddington approximation Context triple: [Edward Arthur Milne, hasConceptNamedAfter, Milne–Eddington approximation]
-
A.
Rosseland mean opacity
Rosseland mean opacity is an average measure of a material’s opacity weighted toward frequencies where radiation is most effectively transported, widely used in stellar and astrophysical radiative transfer calculations.
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B.
Kramers opacity law
Kramers opacity law is a fundamental relation in astrophysics that describes how the opacity of stellar material depends on its density and temperature, crucial for modeling energy transport inside stars.
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C.
Radiative Transfer
Radiative Transfer is a foundational scientific work that rigorously analyzes how radiation propagates through and interacts with matter, especially in astrophysical contexts.
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D.
Klein–Nishina formula
The Klein–Nishina formula is a fundamental result in quantum electrodynamics that gives the differential cross section for Compton scattering of photons by free electrons, incorporating relativistic and quantum effects.
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E.
Eddington limit
The Eddington limit is the maximum luminosity a star or accreting object can have before radiation pressure overcomes gravity and drives away its outer layers.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Milne–Eddington approximation Target entity description: The Milne–Eddington approximation is a simplified model of stellar atmospheres that assumes constant physical properties with depth to make the radiative transfer equations analytically tractable.
-
A.
Rosseland mean opacity
Rosseland mean opacity is an average measure of a material’s opacity weighted toward frequencies where radiation is most effectively transported, widely used in stellar and astrophysical radiative transfer calculations.
-
B.
Kramers opacity law
Kramers opacity law is a fundamental relation in astrophysics that describes how the opacity of stellar material depends on its density and temperature, crucial for modeling energy transport inside stars.
-
C.
Radiative Transfer
Radiative Transfer is a foundational scientific work that rigorously analyzes how radiation propagates through and interacts with matter, especially in astrophysical contexts.
-
D.
Klein–Nishina formula
The Klein–Nishina formula is a fundamental result in quantum electrodynamics that gives the differential cross section for Compton scattering of photons by free electrons, incorporating relativistic and quantum effects.
-
E.
Eddington limit
The Eddington limit is the maximum luminosity a star or accreting object can have before radiation pressure overcomes gravity and drives away its outer layers.
- F. None of above. chosen
Statements (48)
| Predicate | Object |
|---|---|
| instanceOf |
astrophysical approximation
ⓘ
radiative transfer model ⓘ stellar atmosphere model ⓘ |
| advantage |
analytic tractability
ⓘ
computational simplicity ⓘ |
| appliesTo | stellar atmospheres ⓘ |
| approximationOf | full depth-dependent radiative transfer solution ⓘ |
| assumes |
constant continuum opacity with depth
ⓘ
constant line absorption coefficient with depth ⓘ constant physical properties with depth ⓘ gray atmosphere in many applications ⓘ linear source function with optical depth ⓘ local thermodynamic equilibrium ⓘ plane-parallel atmosphere ⓘ static atmosphere ⓘ |
| basedOn | Eddington approximation ⓘ |
| characteristic |
allows closed-form expressions for emergent intensity
ⓘ
allows closed-form expressions for emergent polarization ⓘ neglects depth variation of many atmospheric parameters ⓘ treats line and continuum opacities in a simplified way ⓘ |
| comparedTo | more realistic multi-layer atmosphere models ⓘ |
| field |
astrophysics
ⓘ
radiative transfer theory ⓘ stellar astrophysics ⓘ |
| historicalContext | developed in early 20th century ⓘ |
| involves |
constant line-to-continuum opacity ratio
ⓘ
solution of the radiative transfer equation for a two-level atom in simplified form ⓘ source function linear in optical depth ⓘ |
| limitation |
cannot accurately represent strongly stratified atmospheres
ⓘ
limited accuracy for lines formed over large height ranges ⓘ |
| namedAfter |
Arthur Stanley Eddington
ⓘ
Edward Arthur Milne ⓘ |
| purpose |
to interpret solar spectra
ⓘ
to interpret stellar spectra ⓘ to model spectral line formation ⓘ to obtain analytic solutions for radiative transfer ⓘ to simplify the radiative transfer equation ⓘ |
| relatedTo |
polarized radiative transfer
ⓘ
radiative transfer equation ⓘ spectral line formation theory ⓘ stellar atmosphere theory ⓘ |
| typicalApplication |
quick inversion of large spectropolarimetric data sets
ⓘ
solar photospheric line modeling ⓘ |
| usedFor |
analytic treatment of polarized radiative transfer
ⓘ
inversion of spectropolarimetric data ⓘ magnetic field diagnostics in stellar atmospheres ⓘ modeling of Stokes profiles ⓘ solar magnetic field measurements ⓘ |
How these facts were elicited
The pipeline generated the facts above by prompting gpt-5.1 with this entity's name + description and the instruction below.
Instruction
You are a knowledge base construction expert. Given a subject entity and a description of it, return factual statements that you know for the subject as a JSON list of dictionaries(triples), where keys must be "subject", "predicate" and "object". The number of facts may be very high, between 25 to 50 or more, for very popular subjects. For less popular subjects, the number of facts can be very low, like 5 or 10. # Requirements - If you don't know the subject at all, return an empty list. - If the subject is not a named entity, return an empty list. - Include at least one triple where predicate is "instanceOf". - Do not get too wordy. - Separate several objects into multiple triples with one object.
Input
Subject: Milne–Eddington approximation Description of subject: The Milne–Eddington approximation is a simplified model of stellar atmospheres that assumes constant physical properties with depth to make the radiative transfer equations analytically tractable.
Referenced by (3)
Full triples — surface form annotated when it differs from this entity's canonical label.
linked to: Milne–Eddington approximation
linked to: Milne–Eddington approximation