Restricted three-body problem
GPTKB entity
Statements (60)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:assumes |
the small body does not influence the motion of the two larger bodies
|
| gptkbp:describes |
motion of a small body under the gravitational influence of two larger bodies
|
| gptkbp:field |
gptkb:astrodynamics
celestial mechanics |
| gptkbp:hasApplication |
space mission trajectory design
asteroid dynamics satellite motion study of Lagrange points |
| gptkbp:hasConcept |
gptkb:Hamiltonian_mechanics
gptkb:perturbation_theory gptkb:Hill_sphere gptkb:Jacobi_integral gptkb:Lagrange_points gptkb:Poincaré_map gptkb:KAM_theorem gptkb:Poincaré_section gptkb:Earth-Moon-spacecraft_system gptkb:Euler_points gptkb:Roche_lobe gptkb:Sun-Earth-Moon_system chaos theory dynamical systems nonlinear dynamics stability resonance bifurcation periodic orbits mass parameter rotating reference frame synodic period zero-velocity surface homoclinic orbits integrals of motion primaries Hill problem Jupiter-Europa-spacecraft system Lagrange points L1, L2, L3, L4, L5 chaotic motion collinear points dimensionless units energy integral equilibrium points heteroclinic orbits invariant manifolds planar problem restricted mass spatial problem synodic frame test particle triangular points |
| gptkbp:hasSpecialCase |
circular restricted three-body problem
elliptic restricted three-body problem |
| gptkbp:hasType |
analytical solutions for special cases
numerical solutions |
| https://www.w3.org/2000/01/rdf-schema#label |
Restricted three-body problem
|
| gptkbp:relatedTo |
three-body problem
|
| gptkbp:studiedBy |
gptkb:Joseph-Louis_Lagrange
|
| gptkbp:bfsParent |
gptkb:Lagrange_point
|
| gptkbp:bfsLayer |
5
|