Symmetric periodic solutions in the Sitnikov problem

DOI10.1007/s00013-016-0931-1zbMath1354.34072OpenAlexW2524380421MaRDI QIDQ330086

Rafael Ortega

Publication date: 24 October 2016

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-016-0931-1

zbMATH Keywords

differential equationscelestial mechanicsthree-body problems

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Three-body problems (70F07)

Related Items (9)

On the global families of periodic solutions of a generalized Sitnikov problem ⋮ On a bi-stability regime and the existence of odd subharmonics in a comb-drive MEMS model with cubic stiffness ⋮ On the Stability of Symmetric Periodic Orbits of the Elliptic Sitnikov Problem ⋮ Unnamed Item ⋮ Resonance tongues in the linear Sitnikov equation ⋮ Periodic solutions of a generalized Sitnikov problem ⋮ Odd periodic oscillations in Comb-drive finger actuators ⋮ A Proof for a Stability Conjecture on Symmetric Periodic Solutions of the Elliptic Sitnikov Problem ⋮ On the stability of symmetric periodic solutions of the generalized elliptic Sitnikov \((N + 1)\)-body problem

Cites Work

• Unnamed Item
• Global bifurcations from the center of mass in the Sitnikov problem
• A separating surface for Sitnikov-like \(n+1\)-body problems
• Stability interchanges in a curved Sitnikov problem
• Periodic Solutions in the Generalized Sitnikov $(N+1)$-Body Problem
• Stable and Random Motions in Dynamical Systems
• On the Families of Periodic Orbits of the Sitnikov Problem
• Periodic orbits of the Sitnikov problem via a Poincaré map
• Symmetries and bifurcations in the Sitnikov problem

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