Jacobi ellipsoid
E105603
A Jacobi ellipsoid is a rotating, self-gravitating fluid body in equilibrium that takes on a triaxial ellipsoidal shape due to its rapid spin.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Jacobi ellipsoid canonical | 5 |
How this entity was disambiguated
This entity first appeared as the object of triple T896250 — 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: Jacobi ellipsoid Context triple: [Haumea, equilibriumFigure, Jacobi ellipsoid]
-
A.
Gauss’s planetary equations
Gauss’s planetary equations are a set of differential equations in celestial mechanics that describe how a planet’s orbital elements change over time under the influence of perturbing forces.
-
B.
Ellipse
The Ellipse is a large, oval-shaped public park and ceremonial lawn just south of the White House in Washington, D.C., often used for national events and recreation.
-
C.
Schwarzschild–Milne equations
The Schwarzschild–Milne equations are fundamental integro-differential equations in radiative transfer theory that describe the propagation and scattering of radiation through a plane-parallel, absorbing and emitting medium.
-
D.
Niven ring
A Niven ring is a hypothetical megastructure consisting of a gigantic, rotating ring encircling a star to provide an immense habitable surface on its inner rim.
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E.
Reissner–Nordström metric
The Reissner–Nordström metric is an exact solution in general relativity describing the spacetime geometry outside a static, spherically symmetric, electrically charged black hole.
- 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: Jacobi ellipsoid Target entity description: A Jacobi ellipsoid is a rotating, self-gravitating fluid body in equilibrium that takes on a triaxial ellipsoidal shape due to its rapid spin.
-
A.
Gauss’s planetary equations
Gauss’s planetary equations are a set of differential equations in celestial mechanics that describe how a planet’s orbital elements change over time under the influence of perturbing forces.
-
B.
Ellipse
The Ellipse is a large, oval-shaped public park and ceremonial lawn just south of the White House in Washington, D.C., often used for national events and recreation.
-
C.
Schwarzschild–Milne equations
The Schwarzschild–Milne equations are fundamental integro-differential equations in radiative transfer theory that describe the propagation and scattering of radiation through a plane-parallel, absorbing and emitting medium.
-
D.
Niven ring
A Niven ring is a hypothetical megastructure consisting of a gigantic, rotating ring encircling a star to provide an immense habitable surface on its inner rim.
-
E.
Reissner–Nordström metric
The Reissner–Nordström metric is an exact solution in general relativity describing the spacetime geometry outside a static, spherically symmetric, electrically charged black hole.
- F. None of above. chosen
Statements (46)
| Predicate | Object |
|---|---|
| instanceOf |
equilibrium figure
ⓘ
rotating fluid body ⓘ self-gravitating body ⓘ triaxial ellipsoid ⓘ |
| belongsToFamily | Roche–Riemann ellipsoids ⓘ |
| differsFrom | Maclaurin spheroid by having three unequal axes ⓘ |
| fieldOfStudy |
astrophysics
ⓘ
celestial mechanics ⓘ fluid dynamics ⓘ gravitational physics ⓘ |
| generalizes | Maclaurin spheroid ⓘ |
| hasApplication |
constraining densities of small Solar System bodies
ⓘ
interpreting light curves of elongated asteroids ⓘ |
| hasAxisConfiguration | three unequal principal axes ⓘ |
| hasEquilibriumCondition | balance between centrifugal force and self-gravity ⓘ |
| hasForceBalance | gradient of total potential equals zero on surface ⓘ |
| hasHistoricalContext | 19th-century mathematical physics ⓘ |
| hasLimitingCase | Maclaurin spheroid at lower rotation ⓘ |
| hasMathematicalDescription | ellipsoidal figure with constant density and uniform rotation ⓘ |
| hasParameter |
angular velocity
ⓘ
axis ratio a:b:c ⓘ mass density ⓘ |
| hasPotential | gravitational potential satisfying Poisson equation ⓘ |
| hasProperty |
hydrostatic equilibrium
ⓘ
rapid rotation ⓘ rigid-body rotation ⓘ self-gravity dominated ⓘ uniform density ⓘ |
| hasShape | triaxial ellipsoid ⓘ |
| hasSymmetry | no rotational symmetry about any principal axis ⓘ |
| isDiscussedIn | theory of figures of equilibrium of rotating masses ⓘ |
| isExampleOf | self-consistent rotating equilibrium configuration ⓘ |
| isNamedAfter | Carl Gustav Jacob Jacobi ⓘ |
| isRelatedTo |
Chandrasekhar’s theory of ellipsoidal figures of equilibrium
ⓘ
Riemann ellipsoid ⓘ Roche ellipsoid ⓘ |
| isSolutionOf | equations of rotating self-gravitating fluid equilibrium ⓘ |
| isStableFor | certain ranges of angular velocity ⓘ |
| isUnstableFor | sufficiently high rotation rates ⓘ |
| occursAt | higher angular momentum than Maclaurin spheroid ⓘ |
| requiresAssumption |
barotropic equation of state
ⓘ
inviscid fluid ⓘ |
| usedToModel |
rapidly rotating planets
ⓘ
rapidly rotating stars ⓘ rotating asteroids ⓘ rotating minor planets ⓘ |
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: Jacobi ellipsoid Description of subject: A Jacobi ellipsoid is a rotating, self-gravitating fluid body in equilibrium that takes on a triaxial ellipsoidal shape due to its rapid spin.
Referenced by (5)
Full triples — surface form annotated when it differs from this entity's canonical label.