Hyperbolicity for symmetric periodic orbits in the isosceles three-body problem
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Publication:733825
DOI10.3934/DCDSS.2009.2.379zbMath1173.70005OpenAlexW2063085925MaRDI QIDQ733825
Hildeberto E. Cabral, Daniel C. Offin
Publication date: 19 October 2009
Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcdss.2009.2.379
Three-body problems (70F07) Variational methods for problems in mechanics (70G75) Equilibria and periodic trajectories for nonlinear problems in mechanics (70K42)
Related Items (10)
A bifurcation in the family of periodic orbits for the spatial isosceles 3 body problem ⋮ Bifurcation of periodic orbits for the \(N\)-body problem, from a nongeometrical family of solutions ⋮ Instability for a family of homographic periodic solutions in the parallelogram four body problem ⋮ New Phenomena in the Spatial Isosceles Three-Body Problem with Unequal Masses ⋮ Families of symmetric relative periodic orbits originating from the circular Euler solution in the isosceles three-body problem ⋮ Instability criterion for periodic solutions with spatio-temporal symmetries in Hamiltonian systems ⋮ A minimizing property of homographic solutions ⋮ A continuum of periodic solutions to the planar four-body problem with two pairs of equal masses ⋮ Variational properties and linear stabilities of spatial isosceles orbits in the equal-mass three-body problem ⋮ Star pentagon and many stable choreographic solutions of the Newtonian 4-body problem
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