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.
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 ⓘ |
Referenced by (1)
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