Periodic Oscillations in a \(2{N}\) -Body Problem
From MaRDI portal
Publication:6113165
DOI10.1137/22m1484407zbMath1524.70037arXiv2203.07609OpenAlexW4378801816MaRDI QIDQ6113165
John A. Arredondo, Nelson Castaneda, Andrés Rivera, Oscar M. Perdomo
Publication date: 10 July 2023
Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2203.07609
Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Periodic orbits of vector fields and flows (37C27) (n)-body problems (70F10)
Cites Work
- Hip-hop solutions of the \(2N\)-body problem
- Symmetric trajectories for the \(2N\)-body problem with equal masses
- Librations of central configurations and braided Saturn rings
- A bifurcation in the family of periodic orbits for the spatial isosceles 3 body problem
- Symmetries and choreographies in families that bifurcate from the polygonal relative equilibrium of the \(n\)-body problem
- On the existence of collisionless equivariant minimizers for the classical \(n\)-body problem
- Instability of the periodic hip-hop orbit in the \(2N\)-body problem with equal masses
- Highly eccentric hip-hop solutions of the \(2N\)-body problem
- TRANSITIVE DECOMPOSITION OF n-BODY SYMMETRY GROUPS
- Minima of the action integral in the Newtonian problem of 4 bodies with equal masses: `Hip-hop' orbits
This page was built for publication: Periodic Oscillations in a \(2{N}\) -Body Problem
