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

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 ⓘ
Maclaurin spheroid ⓘ
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 ⓘ
relatedTo Roche limit ⓘ
Roche lobe ⓘ
Roche potential ⓘ
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

Referenced by (1)

Full triples — surface form annotated when it differs from this entity's canonical label.

Jacobi ellipsoid → isRelatedTo → Roche ellipsoid ⓘ