Invariant tori in the secular motions of the three-body planetary systems

From MaRDI portal
Publication:5945020

DOI10.1023/A:1011139523256zbMath0995.70006OpenAlexW4230957669MaRDI QIDQ5945020

Ugo Locatelli, Antonio Giorgilli

Publication date: 2000

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

Full work available at URL: https://doi.org/10.1023/a:1011139523256



Related Items

High-order control for symplectic maps, A semi-analytic algorithm for constructing lower dimensional elliptic tori in planetary systems, KAM tori for \(n\)-body problems: a brief history, Kolmogorov and Nekhoroshev theory for the problem of three bodies, Foundations of physics in Milan, Padua and Paris. Newtonian trajectories from celestial mechanics to atomic physics, Normal form for lower dimensional elliptic tori in Hamiltonian systems, Rigorous computer-assisted application of KAM theory: a modern approach, The phase-space architecture in extrasolar systems with two planets in orbits of high mutual inclination, Existence proof of librational invariant tori in an averaged model of HD60532 planetary system, Secular orbital dynamics of the innermost exoplanet of the \(\upsilon\)-Andromedæ system, Computer-assisted proofs of existence of KAM tori in planetary dynamical models of \(\upsilon\)-And \(\mathbf{b}\), Kolmogorov variation: Kam with knobs \textit{(à la Kolmogorov)}, On the sharpness of the Rüssmann estimates, Secular dynamics of a planar model of the Sun-Jupiter-Saturn-Uranus system; effective stability in the light of Kolmogorov and Nekhoroshev theories, On the convergence of an algorithm constructing the normal form for elliptic lower dimensional tori in planetary systems, On the stability of the secular evolution of the planar Sun-Jupiter-Saturn-Uranus system, A new approach to the parameterization method for Lagrangian tori of Hamiltonian systems, Quasi-periodic motions in a special class of dynamical equations with dissipative effects: a pair of detection methods, On the numerical detection of the effective stability of chaotic motions in quasi-integrable systems, A reverse KAM method to estimate unknown mutual inclinations in exoplanetary systems, An Overview on the Nekhoroshev Theorem, Effective bounds for the measure of rotations, Hamiltonian control of magnetic field lines: computer assisted results proving the existence of KAM barriers