Elliptic two-dimensional invariant tori for the planetary three-body problem
From MaRDI portal
Publication:1417415
DOI10.1007/s00205-003-0269-2zbMath1036.70006OpenAlexW2040396540MaRDI QIDQ1417415
Enrico Valdinoci, Luigi Chierchia, Luca Biasco
Publication date: 5 January 2004
Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00205-003-0269-2
Related Items (16)
A semi-analytic algorithm for constructing lower dimensional elliptic tori in planetary systems ⋮ KAM tori for \(n\)-body problems: a brief history ⋮ Regular and singular reductions in the spatial three-body problem ⋮ Analytic Lagrangian tori for the planetary many-body problem ⋮ Normal form for lower dimensional elliptic tori in Hamiltonian systems ⋮ On the co-orbital motion in the three-body problem: existence of quasi-periodic horseshoe-shaped orbits ⋮ The planetary \(N\)-body problem: symplectic foliation, reductions and invariant tori ⋮ On action-angle coordinates and the Poincaré coordinates ⋮ Aspects of the planetary Birkhoff normal form ⋮ On the convergence of an algorithm constructing the normal form for elliptic lower dimensional tori in planetary systems ⋮ Analytic intermediate dimensional elliptic tori for the planetary many-body problem ⋮ (Quasi)periodic solutions in (in)finite dimensional Hamiltonian systems with applications to celestial mechanics and wave equation ⋮ A KAM theorem for the elliptic lower dimensional tori with one normal frequency in reversible systems ⋮ Periodic orbits accumulating onto elliptic tori for the \((N + 1)\)-body problem ⋮ Quasi-periodic solutions of the spatial lunar three-body problem ⋮ Unnamed Item
This page was built for publication: Elliptic two-dimensional invariant tori for the planetary three-body problem