Periodic oscillations in the restricted hip-hop \(2N+1\)-body problem
From MaRDI portal
Publication:6156558
DOI10.3934/DCDSB.2023062zbMath1521.70016arXiv2210.01740OpenAlexW4361803211MaRDI QIDQ6156558
Nelson Castaneda, Oscar M. Perdomo, Andrés Rivera
Publication date: 13 June 2023
Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2210.01740
Equilibria and periodic trajectories for nonlinear problems in mechanics (70K42) Bifurcations and instability for nonlinear problems in mechanics (70K50) (n)-body problems (70F10)
Cites Work
- Unnamed Item
- Unnamed Item
- Embedded constant mean curvature hypersurfaces on spheres
- Hip-hop solutions of the \(2N\)-body problem
- Symmetric trajectories for the \(2N\)-body problem with equal masses
- Uniform subharmonic orbits for Sitnikov problem
- On the families of periodic orbits which bifurcate from the circular Sitnikov motions
- On the existence of collisionless equivariant minimizers for the classical \(n\)-body problem
- Global bifurcations from the center of mass in the Sitnikov problem
- Highly eccentric hip-hop solutions of the \(2N\)-body problem
- Mathematical aspects of classical and celestial mechanics. Transl. from the Russian by E. Khukhro.
- Periodic Solutions in the Generalized Sitnikov $(N+1)$-Body Problem
- On the Families of Periodic Orbits of the Sitnikov Problem
- Periodic orbits of the restricted three-body problem
- The Restricted Hill Full 4-Body Problem: application to spacecraft motion about binary asteroids
- Minima of the action integral in the Newtonian problem of 4 bodies with equal masses: `Hip-hop' orbits
- Periodic orbits of the Sitnikov problem via a Poincaré map
- Symmetries and bifurcations in the Sitnikov problem
This page was built for publication: Periodic oscillations in the restricted hip-hop \(2N+1\)-body problem