Explicit solution and resonance dynamics around triangular libration points of the planar elliptic restricted three-body problem

DOI10.1007/s10569-021-10028-6zbMath1472.70026OpenAlexW3175667721MaRDI QIDQ2049219

Xi-Yun Hou, Pan Tan, Xin-Hao Liao

Publication date: 24 August 2021

Published in: Celestial Mechanics and Dynamical Astronomy (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10569-021-10028-6

zbMATH Keywords

stabilityexplicit solutionresonancerestricted three-body problemtriangular libration point

Mathematics Subject Classification ID

Three-body problems (70F07) Parametric resonances for nonlinear problems in mechanics (70K28)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On quasi-periodic motions around the collinear libration points in the real Earth-Moon system
• High-order normal form stability estimates for co-orbital motion
• On bridges \(B(pL, qS)\) around triangular libration points
• On the stability of the Lagrangian points in the spatial restricted problem of three bodies
• Formal integrals and Nekhoroshev stability in a mapping model for the Trojan asteroids
• Effective stability for a Hamiltonian system near an elliptic equilibrium point, with an application to the restricted three body problem
• Nekhoroshev-stability of \(L4\) and \(L5\) in the spatial restricted three-body problem
• High-order solutions of motion near triangular libration points for arbitrary value of \(\mu\)
• Dynamics in the center manifold of the collinear points of the restricted three-body problem
• The web of periodic orbits at \(L_4\)
• High-order solutions around triangular libration points in the elliptic restricted three-body problem and applications to low energy transfers
• Trojan resonant dynamics, stability, and chaotic diffusion, for parameters relevant to exoplanetary systems
• A parametric study of stability and resonances around \(L_4\) in the elliptic restricted three-body problem
• On Brown's conjecture
• A proof of Nekhoroshev's theorem for the stability times in nearly integrable Hamiltonian systems
• A note on a Lagrangian formulation for motion about the collinear points
• The stability of the triangular points in the elliptic restricted problem
• AN EXPONENTIAL ESTIMATE OF THE TIME OF STABILITY OF NEARLY-INTEGRABLE HAMILTONIAN SYSTEMS
• High-order expansions of invariant manifolds of libration point orbits with applications to mission design
• On the construction of the Kolmogorov normal form for the Trojan asteroids
• [https://portal.mardi4nfdi.de/wiki/Publication:5621116 Die Bewegung in der N�he der Dreieckspunkte des elliptischen eingeschr�nkten Dreik�rperproblems]
• The dynamics around the collinear equilibrium points of the RTBP

This page was built for publication: Explicit solution and resonance dynamics around triangular libration points of the planar elliptic restricted three-body problem