Chandrasekhar’s theory of ellipsoidal figures of equilibrium
E468357
Chandrasekhar’s theory of ellipsoidal figures of equilibrium is a foundational mathematical framework in astrophysics that analyzes the shapes, stability, and rotational properties of self-gravitating fluid masses modeled as ellipsoids.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Chandrasekhar’s theory of ellipsoidal figures of equilibrium canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T4756640 — 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.
Target entity: Chandrasekhar’s theory of ellipsoidal figures of equilibrium Context triple: [Jacobi ellipsoid, isRelatedTo, Chandrasekhar’s theory of ellipsoidal figures of equilibrium]
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A.
Eddington standard model of stars
The Eddington standard model of stars is a theoretical framework in stellar astrophysics that describes the internal structure and energy transport of stars under simplifying assumptions of radiative equilibrium and constant opacity.
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B.
An Introduction to the Study of Stellar Structure
An Introduction to the Study of Stellar Structure is a foundational astrophysics monograph by Subrahmanyan Chandrasekhar that rigorously develops the theory of the internal structure and evolution of stars.
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C.
The Internal Constitution of the Stars
The Internal Constitution of the Stars is Arthur Eddington’s landmark 1926 astrophysics treatise that laid the foundations for the modern theory of stellar structure and evolution.
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D.
Nordström's scalar theory of gravitation
Nordström's scalar theory of gravitation is an early 20th-century relativistic theory of gravity that models gravitational interaction using a scalar field, serving as a precursor and alternative to Einstein’s general relativity.
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E.
Mécanique céleste
Mécanique céleste is Pierre-Simon Laplace’s landmark multi-volume treatise that reformulated celestial mechanics using Newtonian gravitation and advanced mathematical analysis, profoundly shaping modern astronomy and physics.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
Target entity: Chandrasekhar’s theory of ellipsoidal figures of equilibrium Target entity description: Chandrasekhar’s theory of ellipsoidal figures of equilibrium is a foundational mathematical framework in astrophysics that analyzes the shapes, stability, and rotational properties of self-gravitating fluid masses modeled as ellipsoids.
-
A.
Eddington standard model of stars
The Eddington standard model of stars is a theoretical framework in stellar astrophysics that describes the internal structure and energy transport of stars under simplifying assumptions of radiative equilibrium and constant opacity.
-
B.
An Introduction to the Study of Stellar Structure
An Introduction to the Study of Stellar Structure is a foundational astrophysics monograph by Subrahmanyan Chandrasekhar that rigorously develops the theory of the internal structure and evolution of stars.
-
C.
The Internal Constitution of the Stars
The Internal Constitution of the Stars is Arthur Eddington’s landmark 1926 astrophysics treatise that laid the foundations for the modern theory of stellar structure and evolution.
-
D.
Nordström's scalar theory of gravitation
Nordström's scalar theory of gravitation is an early 20th-century relativistic theory of gravity that models gravitational interaction using a scalar field, serving as a precursor and alternative to Einstein’s general relativity.
-
E.
Mécanique céleste
Mécanique céleste is Pierre-Simon Laplace’s landmark multi-volume treatise that reformulated celestial mechanics using Newtonian gravitation and advanced mathematical analysis, profoundly shaping modern astronomy and physics.
- F. None of above. chosen
Statements (47)
| Predicate | Object |
|---|---|
| instanceOf |
astrophysical theory
ⓘ
mathematical theory ⓘ theory of rotating self-gravitating fluids ⓘ |
| analyzes |
rotational properties of self-gravitating fluids
ⓘ
shapes of rotating fluid masses ⓘ stability of rotating fluid masses ⓘ |
| appliesTo |
galactic dynamics
ⓘ
rotating stars ⓘ self-gravitating gaseous masses ⓘ stellar models ⓘ |
| assumes | self-gravitating homogeneous fluid in many models ⓘ |
| author | Subrahmanyan Chandrasekhar NERFINISHED ⓘ |
| buildsOn |
classical theory of Jacobi ellipsoids
ⓘ
classical theory of Maclaurin spheroids ⓘ |
| characterizes |
bifurcation points between different ellipsoidal families
ⓘ
equilibrium sequences of rotating ellipsoids ⓘ |
| documentedIn | the monograph "Ellipsoidal Figures of Equilibrium" NERFINISHED ⓘ |
| extends | Newtonian gravitational theory to rotating ellipsoids ⓘ |
| field |
applied mathematics
ⓘ
astrophysics ⓘ fluid dynamics ⓘ gravitational physics ⓘ |
| focusesOn |
ellipsoidal figures of equilibrium
ⓘ
rotating fluid configurations ⓘ self-gravitating fluid masses ⓘ |
| generalizes | homogeneous ellipsoids to stratified configurations ⓘ |
| historicalContext | 20th-century astrophysics ⓘ |
| includes |
analysis of dynamical stability
ⓘ
analysis of secular stability ⓘ |
| influenced |
models of rapidly rotating white dwarfs
ⓘ
modern theory of rotating neutron stars ⓘ studies of bar-mode instabilities in stars ⓘ |
| language | English ⓘ |
| provides |
criteria for onset of non-axisymmetric instabilities
ⓘ
expressions for gravitational potential of ellipsoids ⓘ relations between angular velocity and ellipticity ⓘ |
| publicationYear | 1969 ⓘ |
| publisher | Yale University Press NERFINISHED ⓘ |
| recognizedAs | classic reference on rotating self-gravitating fluids ⓘ |
| relatesTo |
conservation of angular momentum in rotating fluids
ⓘ
virial theorem in astrophysics ⓘ |
| studies |
Jacobi sequence
ⓘ
Maclaurin sequence NERFINISHED ⓘ Riemann ellipsoids NERFINISHED ⓘ |
| uses |
perturbation methods
ⓘ
potential theory ⓘ tensor calculus ⓘ |
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Subject: Chandrasekhar’s theory of ellipsoidal figures of equilibrium Description of subject: Chandrasekhar’s theory of ellipsoidal figures of equilibrium is a foundational mathematical framework in astrophysics that analyzes the shapes, stability, and rotational properties of self-gravitating fluid masses modeled as ellipsoids.
Referenced by (1)
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