On the extension of the Laplace-Lagrange secular theory to order two in the masses for extrasolar systems
DOI10.1007/s10569-013-9501-zzbMath1293.70057arXiv1306.5624OpenAlexW2068340802MaRDI QIDQ399966
Anne-Sophie Libert, Marco Sansottera
Publication date: 20 August 2014
Published in: Celestial Mechanics and Dynamical Astronomy (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1306.5624
secular dynamicsextrasolar systemsn-body problemnormal forms methodproximity to mean-motion resonancesupsilon andromedae
Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Celestial mechanics (70F15) Dynamical systems in classical and celestial mechanics (37N05) Perturbation theories for problems in Hamiltonian and Lagrangian mechanics (70H09)
Related Items (9)
Cites Work
- Unnamed Item
- Unnamed Item
- Analytical approach to the secular behaviour of exoplanetary systems
- Secular dynamics of a planar model of the Sun-Jupiter-Saturn-Uranus system; effective stability in the light of Kolmogorov and Nekhoroshev theories
- Stability of the planetary three-body problem. I: Expansion of the planetary Hamiltonian
- Stability of the planetary three-body problem. II: KAM theory and existence of quasiperiodic motions
- A semi-analytic algorithm for constructing lower dimensional elliptic tori in planetary systems
- Kolmogorov and Nekhoroshev theory for the problem of three bodies
- Invariant tori in the Sun-Jupiter-Saturn system
- Construction of Kolmogorov's normal form for a planetary system
- KAM stability and celestial mechanics
- Dislocation lines in the hyperbolic umbilic diffraction catastrophe
- Canonical perturbation theory for nearly integrable systems
- Dynamical stability of the inner belt around Epsilon Eridani
- Démonstration du ‘théorème d'Arnold’ sur la stabilité du système planétaire (d'après Herman)
- On the construction of the Kolmogorov normal form for the Trojan asteroids
- Canonical transformations depending on a small parameter
- High-order symplectic integrators for perturbed Hamiltonian systems
This page was built for publication: On the extension of the Laplace-Lagrange secular theory to order two in the masses for extrasolar systems