On the elliptic restricted three-body problem

DOI10.1007/BF00049388zbMath1375.70031MaRDI QIDQ1685324

Jaume Llibre, Conxita Piñol

Publication date: 13 December 2017

Published in: Celestial Mechanics and Dynamical Astronomy (Search for Journal in Brave)

zbMATH Keywords

elliptic problemglobal flowmass parameter

Mathematics Subject Classification ID

Three-body problems (70F07) Celestial mechanics (70F15) Collision of rigid or pseudo-rigid bodies (70F35)

Related Items (9)

The global phase space for the 2- and 3-dimensional Kepler problems ⋮ Ejection-collision orbits with the more massive primary in the planar elliptic restricted three body problem ⋮ Optimal time-fixed impulsive non-Keplerian orbit to orbit transfer algorithm based on primer vector theory ⋮ To and fro motion for the hydrogen atom in a circularly polarized microwave field ⋮ Ejection-collision orbits in the RTBP ⋮ Regularisation in Ejection-Collision Orbits of the RTBP ⋮ Analytical and numerical results on families of \(n\)-ejection-collision orbits in the RTBP ⋮ Transit regions and ejection/collision orbits in the RTBP ⋮ Periodic orbits for the perturbed planar circular restricted 3-body problem

Cites Work

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• Transversal ejection-collision orbits for the restricted problem and the Hill's problem with applications
• Triple collision in the collinear three-body problem
• Collision orbits in the anisotropic Kepler problem
• Ejection and collision orbits of the spatial restricted three-body problem
• 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
• ON MOULTON'S ORBITS IN THE RESTRICTED PROBLEM OF THREE BODIES
• Invariant manifolds

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