Delaunay variables
E621101
Delaunay variables are a set of canonical action-angle variables used in celestial mechanics to simplify the analysis of orbital motion and perturbations.
Statements (45)
| Predicate | Object |
|---|---|
| instanceOf |
action–angle variables
ⓘ
canonical variables ⓘ set of orbital elements ⓘ |
| appliesTo |
restricted three-body problem
ⓘ
two-body problem ⓘ |
| assumes | central gravitational potential ⓘ |
| basedOn | Keplerian orbital elements NERFINISHED ⓘ |
| correspondsToOrbitalElement |
argument of periapsis
ⓘ
longitude of ascending node ⓘ mean anomaly ⓘ |
| correspondsToOrbitalElement |
eccentricity
ⓘ
inclination ⓘ semi-major axis ⓘ |
| definedIn | phase space of orbital elements ⓘ |
| enables |
averaging over fast angles
ⓘ
separation of fast and slow orbital variables ⓘ |
| field |
astrodynamics
ⓘ
dynamical astronomy ⓘ |
| hasActionVariable |
D
ⓘ
G ⓘ H ⓘ |
| hasAngleVariable |
g
ⓘ
h ⓘ ℓ ⓘ |
| hasComponent |
D
ⓘ
G ⓘ H ⓘ g ⓘ h ⓘ ℓ ⓘ |
| introducedBy | Charles-Eugène Delaunay NERFINISHED ⓘ |
| isCanonicalWithRespectTo | standard symplectic form ⓘ |
| isGeneralizationOf | Keplerian elements in Hamiltonian form ⓘ |
| relatedTo |
Poincaré variables
NERFINISHED
ⓘ
canonical transformations in mechanics ⓘ |
| usedFor |
analysis of orbital motion
ⓘ
analytical theory of planetary motion ⓘ lunar theory ⓘ perturbation theory in celestial mechanics ⓘ satellite orbit perturbation analysis ⓘ simplification of Hamiltonian formulation of orbital dynamics ⓘ |
| usedIn |
Hamiltonian perturbation theory
ⓘ
Lagrange planetary equations NERFINISHED ⓘ celestial mechanics ⓘ study of long-term orbital evolution ⓘ |
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.