Roche ellipsoid
E469384
A Roche ellipsoid is an equilibrium shape assumed by a self-gravitating fluid body that is tidally distorted by a nearby massive companion, important in the study of close binary systems and tidal interactions.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Roche ellipsoid canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T4756639 — 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: Roche ellipsoid Context triple: [Jacobi ellipsoid, isRelatedTo, Roche ellipsoid]
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A.
Maclaurin spheroid
A Maclaurin spheroid is an oblate, rotationally symmetric ellipsoidal figure used in astrophysics and geophysics to model the equilibrium shape of a uniformly rotating, self-gravitating fluid body.
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B.
Jacobi ellipsoid
A Jacobi ellipsoid is a rotating, self-gravitating fluid body in equilibrium that takes on a triaxial ellipsoidal shape due to its rapid spin.
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C.
Roche–Riemann ellipsoids
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.
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D.
Airy Modified ellipsoid
The Airy Modified ellipsoid is a slightly adjusted version of the Airy ellipsoid used as the reference surface for mapping and geodetic calculations in systems such as the Irish grid reference system.
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E.
Riemann ellipsoid
A Riemann ellipsoid is a rotating, self-gravitating fluid mass in ellipsoidal equilibrium whose internal motion and figure are analyzed in Riemann’s extension of classical ellipsoidal models in celestial mechanics.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
Target entity: Roche ellipsoid Target entity description: A Roche ellipsoid is an equilibrium shape assumed by a self-gravitating fluid body that is tidally distorted by a nearby massive companion, important in the study of close binary systems and tidal interactions.
-
A.
Maclaurin spheroid
A Maclaurin spheroid is an oblate, rotationally symmetric ellipsoidal figure used in astrophysics and geophysics to model the equilibrium shape of a uniformly rotating, self-gravitating fluid body.
-
B.
Jacobi ellipsoid
A Jacobi ellipsoid is a rotating, self-gravitating fluid body in equilibrium that takes on a triaxial ellipsoidal shape due to its rapid spin.
-
C.
Roche–Riemann ellipsoids
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.
-
D.
Airy Modified ellipsoid
The Airy Modified ellipsoid is a slightly adjusted version of the Airy ellipsoid used as the reference surface for mapping and geodetic calculations in systems such as the Irish grid reference system.
-
E.
Riemann ellipsoid
A Riemann ellipsoid is a rotating, self-gravitating fluid mass in ellipsoidal equilibrium whose internal motion and figure are analyzed in Riemann’s extension of classical ellipsoidal models in celestial mechanics.
- F. None of above. chosen
Statements (42)
| Predicate | Object |
|---|---|
| instanceOf |
astrophysical concept
ⓘ
equilibrium figure ⓘ theoretical model ⓘ |
| appliesTo | close binary systems with strong tidal forces ⓘ |
| approaches |
highly elongated shape when tidal forces are strong
ⓘ
spherical shape when tidal forces are weak ⓘ |
| assumes |
fluid body of uniform density in simplest models
ⓘ
synchronous rotation with orbital motion in many treatments ⓘ |
| belongsTo | theory of rotating fluid masses ⓘ |
| characterizedBy |
balance of pressure, self-gravity, tidal and centrifugal forces
ⓘ
three unequal principal axes ⓘ |
| contrastsWith | isolated spherical equilibrium configuration ⓘ |
| definedBy | hydrostatic equilibrium in combined gravitational and centrifugal potentials ⓘ |
| describes |
equilibrium shape of a tidally distorted planet
ⓘ
equilibrium shape of a tidally distorted star ⓘ |
| generalizationOf |
Jacobi ellipsoid
NERFINISHED
ⓘ
Maclaurin spheroid NERFINISHED ⓘ |
| hasCause | gravitational field of a nearby massive companion ⓘ |
| hasComponent |
centrifugal potential due to rotation
ⓘ
self-gravity of the fluid body ⓘ tidal potential of the companion ⓘ |
| hasFieldEquation | hydrostatic equilibrium equation in Roche potential ⓘ |
| hasLimitingCase | Roche lobe filling configuration ⓘ |
| hasProperty |
self-gravitating fluid body
ⓘ
tidally distorted ⓘ |
| hasShape | triaxial ellipsoid ⓘ |
| isSolutionOf | equations of motion in rotating frame with tidal potential ⓘ |
| namedAfter | Édouard Roche NERFINISHED ⓘ |
| relatedTo |
Roche limit
NERFINISHED
ⓘ
Roche lobe NERFINISHED ⓘ Roche potential NERFINISHED ⓘ |
| requires | gravitational dominance of central body over internal pressure gradients ⓘ |
| studiedIn |
astrophysics
ⓘ
celestial mechanics ⓘ theory of figures of equilibrium ⓘ |
| usedFor |
estimating mass transfer onset in close binaries
ⓘ
modeling light-curve distortions in eclipsing binaries ⓘ studying tidal locking effects ⓘ |
| usedIn |
modeling of distorted planets
ⓘ
modeling of distorted stars ⓘ study of close binary star systems ⓘ study of tidal interactions ⓘ |
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.
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.
Subject: Roche ellipsoid Description of subject: A Roche ellipsoid is an equilibrium shape assumed by a self-gravitating fluid body that is tidally distorted by a nearby massive companion, important in the study of close binary systems and tidal interactions.
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.