Variational proof of the existence of periodic orbits in the anisotropic Kepler problem

DOI10.1007/s10569-023-10133-8zbMath1529.70013MaRDI QIDQ6155763

Mitsuru Shibayama, Shota Iguchi

Publication date: 7 June 2023

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

zbMATH Keywords

action functionalminimizerreversibilityfree electroncollision orbitnon-integrable Hamiltonian system\(n\)-type semiconductor

Mathematics Subject Classification ID

Variational methods for problems in mechanics (70G75) Motion of charged particles (78A35) (n)-body problems (70F10) Nonintegrable systems for problems in Hamiltonian and Lagrangian mechanics (70H07) Periodic and almost periodic solutions for problems in Hamiltonian and Lagrangian mechanics (70H12)

Cites Work

• Unnamed Item
• Collision orbits in the anisotropic Kepler problem
• Exponential instability of collision orbit in the anisotropic Kepler problem
• A remarkable periodic solution of the three-body problem in the case of equal masses

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