Cover Image

Bounded orbits for 3 bodies in $\mathbb{R}^4$

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Albouy, Alain, Dullin, Holger R.
Format:	Preprint
Published:	2023
Subjects:	Dynamical Systems 37N05, 70F10, 70F15, 70H33, 53D20
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Hyperbolic motions in the $N$-body problem with homogeneous potentials
by: Yu, Guowei
Published: (2024)

Partially rigid motions in the planar three-body problem
by: Moeckel, Richard
Published: (2025)

Stability, periodic orbits and KAM tori in the dynamics of the three fixed centers problem
by: Turner, Edward A., et al.
Published: (2025)

On the uniqueness of the planar 5-body central configuration with a trapezoidal convex hull
by: Liu, Yangshanshan, et al.
Published: (2023)

The problem of infinite Spin for parabolic and collision solutions in the planar $n$-body problem
by: Wang, Zhe, et al.
Published: (2025)

On Kite Central Configurations
by: Roberts, Gareth E.
Published: (2024)

On the uniqueness of the strictly convex quadrilateral central configuration with a fixed angle
by: Liu, Yangshanshan, et al.
Published: (2024)

Finiteness of non-degenerate central configurations of the planar $n$-body problem with a homogeneous potential
by: Natrup, Julius, et al.
Published: (2025)

The Veronese Geometry of Dziobek Configurations and Generic Finiteness for Homogeneous Potentials
by: Dias, Thiago
Published: (2026)

The N-Body Problem on Coadjoint Orbits
by: Dullin, Holger, et al.
Published: (2025)

Families of periodic solutions of the 4- and 6-body problem using a gradient-free continuation method
by: Perdomo, Oscar
Published: (2026)

Geometry of Mechanics
by: Muñoz-Lecanda, Miguel C., et al.
Published: (2024)

Really perverse periodic solutions of the planar N-body problem
by: Bang, Dominique, et al.
Published: (2025)

The geometry of dissipation
by: López-Gordón, Asier
Published: (2024)

Wrapped Floer homology and the circular restricted three-body problem
by: Broćić, Filip, et al.
Published: (2025)

No infinite spin for partial collisions converging to isolated central configurations on the plane
by: Gierzkiewicz, Anna, et al.
Published: (2024)

Relative periodic solutions in spatial Kepler problem with symmetric perturbation
by: Hu, Xijun, et al.
Published: (2025)

On Separation of Variables for Symmetric Spaces of Rank1
by: Bolsinov, Alexey, et al.
Published: (2025)

Morse Index for Homothetic motions in the gravitational n-body problem
by: Ou, Yuwei, et al.
Published: (2024)

Uniqueness of hyperbolic Busemann functions in the Newtonian N-body problem
by: Maderna, Ezequiel, et al.
Published: (2024)

On the role of the fast oscillations in the secular dynamics of the lunar coplanar perturbation on Galileo satellites
by: Alessi, Elisa Maria, et al.
Published: (2024)

On the Arnold diffusion mechanism in Medium Earth Orbit
by: Alessi, Elisa Maria, et al.
Published: (2024)

Gauge momenta as Casimir functions of nonholonomic systems
by: Garcia-Naranjo, Luis C., et al.
Published: (2016)

Hamilton-Jacobi theory for nonholonomic and forced hybrid mechanical systems
by: Colombo, Leonardo, et al.
Published: (2022)

A new perspective on nonholonomic brackets and Hamilton-Jacobi theory
by: de León, Manuel, et al.
Published: (2023)

Scaling Symmetries and Conformal Relative Equilibria on Poisson Manifolds, with Applications to Lie--Poisson Systems
by: Santoprete, Manuele
Published: (2026)

A new Lagrangian approach to optimal control of second-order systems
by: Konopik, Michael, et al.
Published: (2025)

Trajectory Stability and Signature Diagnostics for Comet-Based Interstellar Navigation
by: Andrée, Bo Pieter Johannes
Published: (2026)

Semi-analytic construction of global transfers between quasi-periodic orbits in the spatial R3BP
by: Delshams, Amadeu, et al.
Published: (2025)

Expansive solutions and the boundary at infinity for the homogeneous $N$-body problem
by: Berti, Diego, et al.
Published: (2026)

On the Sundman-Sperling estimates for the restricted one-center-two-body problem
by: Hsu, Ku-Jung, et al.
Published: (2024)

Capturing the short-term characteristics of a barred galaxy from a single snapshot
by: Sánchez-Martín, P., et al.
Published: (2025)

Contact geometry of Hill's approximation in a spatial restricted four-body problem
by: Aydin, Cengiz
Published: (2024)

Periodic orbits of the Stark problem
by: Hsu, Ku-Jung, et al.
Published: (2024)

Proof of a conjecture by H. Dullin and R. Montgomery
by: Pinzari, Gabriella
Published: (2022)

Relative Equilibria for Scaling Symmetries and Central Configurations
by: Rastelli, Giovanni, et al.
Published: (2024)

Symmetric Central Configurations in the Concave 4-Body Problem with Two Pairs of Equal Masses
by: Liu, Yangshanshan, et al.
Published: (2025)

Canonical separating coordinates in the generalized cubic Hénon-Heiles systems
by: Portaluri, Alessandro, et al.
Published: (2026)

Perturbation theory and canonical coordinates in celestial mechanics
by: Pinzari, Gabriella
Published: (2022)

The Hamiltonian Tube Of A Cotangent-Lifted Action
by: Rodriguez-Olmos, Miguel, et al.
Published: (2014)