Parametric approximations of fast close encounters of the planar three-body problem as arcs of a focus-focus dynamics
From MaRDI portal
Publication:6608794
DOI10.1088/1361-6544/ad72c6MaRDI QIDQ6608794
Publication date: 20 September 2024
Published in: Nonlinearity (Search for Journal in Brave)
Birkhoff normal formerror estimateGronwall lemmacomputer algebra systempermutation symmetryLevi-Civita regularizationBirkhoff normalization
Three-body problems (70F07) Computational methods for problems pertaining to mechanics of particles and systems (70-08) Celestial mechanics (70F15) Collisions in celestial mechanics, regularization (70F16)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A numerical study of the orbits of second species of the planar circular RTBP
- Effective stability for a Hamiltonian system near an elliptic equilibrium point, with an application to the restricted three body problem
- On the stability of realistic three-body problems
- Dynamics in the center manifold of the collinear points of the restricted three-body problem
- Periodic and chaotic trajectories of the second species for the \(n\)-centre problem
- Quasiperiodic motions in the planar three-body problem
- Structure of the centre manifold of the \(L_1\), \(L_2\) collinear libration points in the restricted three-body problem
- On the semi-analytical construction of halo orbits and halo tubes in the elliptic restricted three-body problem
- Computer-assisted estimates for Birkhoff normal forms
- Halo orbits around the collinear points of the restricted three-body problem
- Kolmogorov and Nekhoroshev theory for the problem of three bodies
- Asymptotic density of collision orbits in the restricted circular planar 3 body problem
- Shadowing chains of collision orbits
- Consecutive quasi-collisions in the planar circular RTBP
- Quasi‐Periodic Almost‐Collision Orbits in the Spatial Three‐Body Problem
- A note on the existence of invariant punctured tori in the planar circular restricted three-body problem
- [https://portal.mardi4nfdi.de/wiki/Publication:3856154 On Poincar�'s second species solutions]
- Periodic Orbits in the Restricted Three-Body Problem: Existence and Asymptotic Approximation
- Dynamics and Mission Design Near Libration Points
- High-order expansions of invariant manifolds of libration point orbits with applications to mission design
- Transits close to the Lagrangian solutions L 1, L 2 in the elliptic restricted three-body problem
- Notes on Hamiltonian Dynamical Systems
- Integrability of close encounters in the spatial restricted three-body problem
- Periodic Solutions of the Restricted Three Body Problem Representing Analytic Continuations of Keplerian Elliptic Motions
- Sur la résolution qualitative du problème restreint des trois corps.
- The vicinity of Earth-Moon \(L_1\) and \(L_2\) in the Hill restricted 4-body problem
- Invariant manifolds near \(L_1\) and \(L_2\) in the quasi-bicircular problem
- Computer assisted proofs for transverse collision and near collision orbits in the restricted three body problem
This page was built for publication: Parametric approximations of fast close encounters of the planar three-body problem as arcs of a focus-focus dynamics