The phase-space architecture in extrasolar systems with two planets in orbits of high mutual inclination

DOI10.1007/s10569-023-10136-5arXiv2212.10569OpenAlexW4366268866MaRDI QIDQ6155758

Christos Efthymiopoulos, Rita Mastroianni

Publication date: 7 June 2023

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

Full work available at URL: https://arxiv.org/abs/2212.10569

zbMATH Keywords

bifurcationHamiltonian perturbation theory\(n\)-body planetary problemexoplanetLidov-Kozai solutionPoincaré canonical coordinates

Mathematics Subject Classification ID

Celestial mechanics (70F15) (n)-body problems (70F10) Perturbation theories for problems in Hamiltonian and Lagrangian mechanics (70H09)

Cites Work

• Unnamed Item
• A reverse KAM method to estimate unknown mutual inclinations in exoplanetary systems
• Symmetric and asymmetric librations in extrasolar planetary systems: a global view
• Canonical perturbation theories. Degenerate systems and resonance
• Averaging on Earth-crossing orbits
• The Kozai resonance in the outer solar system and the dynamics of long-period comets
• 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
• Closed-form perturbation theory in the restricted three-body problem without relegation
• Searching for periodic orbits of the spatial elliptic restricted three-body problem by double averaging
• Bifurcation Sequences in the Symmetric 1:1 Hamiltonian Resonance
• Kozai resonance in extrasolar systems
• Secular orbit-orbit resonance between two satellites with non-zero masses
• On eccentricity functions for eccentric orbits
• The continuation of periodic orbits from the restricted to the general three-body problem
• Non-restricted double-averaged three body problem in Hill's case
• Solar System Dynamics
• Invariant tori in the secular motions of the three-body planetary systems

This page was built for publication: The phase-space architecture in extrasolar systems with two planets in orbits of high mutual inclination