Transversal ejection-collision orbits in Hill's problem forC?1

DOI10.1007/BF01235542zbMath0675.70008OpenAlexW1654750404MaRDI QIDQ3830580

Joaquín Delgado Fernandez

Publication date: 1988

Published in: Celestial Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01235542

zbMATH Keywords

Hill's problemexistence of two transversal ejection-collision orbitsextendable regular integrals for Hill's problem

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Three-body problems (70F07) Hamilton's equations (70H05) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Celestial mechanics (70F15)

Related Items (3)

Regularization of the Hill four-body problem with oblate bodies ⋮ Computer assisted proofs for transverse collision and near collision orbits in the restricted three body problem ⋮ Analytical and numerical results on families of \(n\)-ejection-collision orbits in the RTBP

Cites Work

• Unnamed Item
• Transversal ejection-collision orbits for the restricted problem and the Hill's problem with applications
• Melnikov's method and averaging
• A note on the existence of invariant punctured tori in the planar circular restricted three-body problem
• On the restrited three-body problem when the mass parameter is small

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