Variational existence proof for multiple periodic orbits in the planar circular restricted three-body problem
From MaRDI portal
Publication:5036276
DOI10.1088/1361-6544/ac4c2bOpenAlexW4213229484MaRDI QIDQ5036276
Mitsuru Shibayama, Yuika Kajihara
Publication date: 23 February 2022
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1088/1361-6544/ac4c2b
Three-body problems (70F07) Variational methods for problems in mechanics (70G75) Periodic, homoclinic and heteroclinic orbits of finite-dimensional Hamiltonian systems (37J46)
Related Items (2)
Variational aspects of the two-center problem ⋮ Variational proof of the existence of periodic orbits in the spatial Hill problem and its constrained problems
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Platonic polyhedra, topological constraints and periodic solutions of the classical \(N\)-body problem
- Transversality of the invariant manifolds associated to the Lyapunov family of periodic orbits near \(L_ 2\) in the restricted three-body problem
- Reversible systems
- Binary decompositions for planar \(N\)-body problems and symmetric periodic solutions
- Minimization properties of Hill's orbits and applications to some \(N\)-body problems
- How the method of minimization of action avoids singularities
- Simple choreographies of the planar Newtonian \(N\)-body problem
- Variational construction of orbits realizing symbolic sequences in the planar Sitnikov problem
- On the Singularities of Generalized Solutions to n-Body-Type Problems
- Variational constructions for some satellite orbits in periodic gravitational force fields
- A Minimizing Property of Keplerian Orbits
- A variational proof of existence of transit orbits in the restricted three-body problem
- A remarkable periodic solution of the three-body problem in the case of equal masses
This page was built for publication: Variational existence proof for multiple periodic orbits in the planar circular restricted three-body problem