Explicit solution and resonance dynamics around triangular libration points of the planar elliptic restricted three-body problem
type: Item
instance of: scholarly article
title: Explicit solution and resonance dynamics around triangular libration points of the planar elliptic restricted three-body problem
zbMATH Open document ID: 1472.70026
author: Pan Tan
author: Xi-Yun Hou
author: Xinhao Liao
published in: Celestial Mechanics and Dynamical Astronomy
publication date: 2021-08-24T00:00:00Z
Mathematics Subject Classification ID: 70F07
Mathematics Subject Classification ID: 70K28
zbMATH DE Number: 7384838
zbMATH Keywords: restricted three-body problem
zbMATH Keywords: triangular libration point
zbMATH Keywords: explicit solution
zbMATH Keywords: resonance
zbMATH Keywords: stability
MaRDI profile type: Publication
full work available at URL: s10569-021-10028-6
OpenAlex ID: W3175667721
cites work: A proof of Nekhoroshev's theorem for the stability times in nearly integrable Hamiltonian systems
cites work: Nekhoroshev-stability of \(L4\) and \(L5\) in the spatial restricted three-body problem
cites work: On the stability of the Lagrangian points in the spatial restricted problem of three bodies
cites work: Q5564144
cites work: Formal integrals and Nekhoroshev stability in a mapping model for the Trojan asteroids
cites work: High-order normal form stability estimates for co-orbital motion
cites work: A parametric study of stability and resonances around \(L_4\) in the elliptic restricted three-body problem
cites work: On the construction of the Kolmogorov normal form for the Trojan asteroids
cites work: Effective stability for a Hamiltonian system near an elliptic equilibrium point, with an application to the restricted three body problem
cites work: The dynamics around the collinear equilibrium points of the RTBP
cites work: On Brown's conjecture
cites work: The web of periodic orbits at \(L_4\)
cites work: On bridges \(B(pL, qS)\) around triangular libration points
cites work: On quasi-periodic motions around the collinear libration points in the real Earth-Moon system
cites work: Dynamics in the center manifold of the collinear points of the restricted three-body problem
cites work: Q4514087
cites work: High-order solutions around triangular libration points in the elliptic restricted three-body problem and applications to low energy transfers
cites work: Q5735787
cites work: High-order solutions of motion near triangular libration points for arbitrary value of \(\mu\)
cites work: Q5585213
cites work: High-order expansions of invariant manifolds of libration point orbits with applications to mission design
cites work: The stability of the triangular points in the elliptic restricted problem
cites work: AN EXPONENTIAL ESTIMATE OF THE TIME OF STABILITY OF NEARLY-INTEGRABLE HAMILTONIAN SYSTEMS
cites work: Trojan resonant dynamics, stability, and chaotic diffusion, for parameters relevant to exoplanetary systems
cites work: Q5643622
cites work: Q4401086
cites work: A note on a Lagrangian formulation for motion about the collinear points
cites work: Q5369428
cites work: Die Bewegung in der N�he der Dreieckspunkte des elliptischen eingeschr�nkten Dreik�rperproblems
DOI: 10.1007/S10569-021-10028-6
description: scientific article; zbMATH DE number 7384838