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On the existence of doubly symmetric ``Schubart-like periodic orbits

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Publication:414746
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DOI10.3934/DCDSB.2012.17.943zbMath1242.37043OpenAlexW2317343604MaRDI QIDQ414746

Regina Martínez

Publication date: 11 May 2012

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2012.17.943


zbMATH Keywords

\(n\)-body problemHamiltonian systemcollisionsymmetric periodic orbit


Mathematics Subject Classification ID

Dynamical systems in classical and celestial mechanics (37N05) (n)-body problems (70F10) Periodic and almost periodic solutions for problems in Hamiltonian and Lagrangian mechanics (70H12) Collisions in celestial mechanics, regularization (70F16)


Related Items (6)

Families of double symmetric ``Schubart-like periodic orbits ⋮ Symmetric periodic orbits in three sub-problems of the \(N\)-body problem ⋮ Stability of the rhomboidal symmetric-mass orbit ⋮ Ejection-collision orbits in two degrees of freedom problems in celestial mechanics ⋮ Stability of Broucke's isosceles orbit ⋮ A new collision-based periodic orbit in the three-dimensional eight-body problem







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