Homoclinic and heteroclinic solutions in the restricted three-body problem
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Publication:3829111
DOI10.1007/BF01235538zbMath0674.70019MaRDI QIDQ3829111
Jaume Llibre, Josep J. Masdemont, Gerard Gomez
Publication date: 1988
Published in: Celestial Mechanics (Search for Journal in Brave)
Three-body problems (70F07) Computational methods for problems pertaining to mechanics of particles and systems (70-08) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Local and nonlocal bifurcation theory for dynamical systems (37G99)
Related Items (14)
Solutions homoclinic to regular precessions of a symmetric satellite ⋮ Asymptotic orbits at the triangular equilibria in the photogravitational restricted three-body problem ⋮ Asymptotic orbits and terminations of families in the Copenhagen problem ⋮ GEOMETRY OF HOMOCLINIC CONNECTIONS IN A PLANAR CIRCULAR RESTRICTED THREE-BODY PROBLEM ⋮ On the ``blue sky catastrophe termination in the restricted four-body problem ⋮ Fully numerical computation of heteroclinic connection families in the spatial three-body problem ⋮ Evolution of the characteristic curves in the restricted three-body problem in terms of the mass parameter ⋮ A picture of solar-sail heteroclinic enhanced connections between Lissajous libration point orbits ⋮ High-order expansions of invariant manifolds of libration point orbits with applications to mission design ⋮ Homoclinic dynamics in a spatial restricted four-body problem: blue skies into Smale horseshoes for vertical Lyapunov families ⋮ Symmetric periodic orbits in the Moulton-Copenhagen problem ⋮ Homoclinic and heteroclinic orbits in the photogravitational restricted three-body problem ⋮ Asymptotic orbits in the \((N+1)\)-body ring problem ⋮ Existence of homoclinic connections in continuous piecewise linear systems
Cites Work
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- [https://portal.mardi4nfdi.de/wiki/Publication:5675367 Proof of a conjecture of E. Str�mgren]
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