Roche–Riemann ellipsoids
E468355
Roche–Riemann ellipsoids are a family of rotating, self-gravitating fluid equilibrium figures in astrophysics and celestial mechanics that generalize classical ellipsoidal solutions like the Jacobi ellipsoid.
Statements (44)
| Predicate | Object |
|---|---|
| instanceOf |
astrophysical model
ⓘ
family of equilibrium figures ⓘ self-gravitating fluid configuration ⓘ |
| appliesTo |
synchronously rotating binaries
ⓘ
tidally locked fluid bodies ⓘ |
| assumes |
Newtonian gravity
NERFINISHED
ⓘ
ellipsoidal density distribution ⓘ inviscid fluid ⓘ |
| balances |
centrifugal forces
ⓘ
pressure gradients ⓘ self-gravity ⓘ |
| characterizedBy |
angular velocity of figure rotation
ⓘ
axis ratios ⓘ internal vorticity ⓘ mass distribution ⓘ |
| describes | equilibrium of rotating fluid masses ⓘ |
| developedInContextOf | 19th-century celestial mechanics ⓘ |
| field |
astrophysics
ⓘ
celestial mechanics ⓘ fluid dynamics ⓘ gravitational physics ⓘ |
| generalizes |
Jacobi ellipsoid
NERFINISHED
ⓘ
Maclaurin spheroid NERFINISHED ⓘ |
| hasApplication |
stability analysis of rotating stars
ⓘ
study of secular instabilities in fluid masses ⓘ |
| hasProperty |
compressible fluid
ⓘ
rotating ⓘ self-gravitating ⓘ stationary in rotating frame ⓘ uniform vorticity ⓘ |
| hasShape | triaxial ellipsoid ⓘ |
| mathematicallyDescribedBy |
ellipsoidal potential theory
ⓘ
equations of rotating self-gravitating fluids ⓘ |
| namedAfter |
Bernhard Riemann
NERFINISHED
ⓘ
Édouard Roche NERFINISHED ⓘ |
| relatedTo |
Riemann ellipsoids
NERFINISHED
ⓘ
Roche limit NERFINISHED ⓘ Roche lobe NERFINISHED ⓘ |
| solves | hydrostatic equilibrium in rotating frame ⓘ |
| subclassOf |
Riemann ellipsoids
NERFINISHED
ⓘ
ellipsoidal figures of equilibrium ⓘ |
| usedIn |
modeling rotating gaseous planets
ⓘ
modeling tidally distorted stars ⓘ theory of close binary stars ⓘ |
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.