Secular orbital dynamics of the innermost exoplanet of the \(\upsilon\)-Andromedæ system

DOI10.1007/s10569-023-10141-8zbMath1527.70013arXiv2304.09038OpenAlexW4366459675MaRDI QIDQ6155764

Rita Mastroianni, Ugo Locatelli

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/2304.09038

zbMATH Keywords

normal formHamiltonian perturbation theoryn-body planetary problemquasi-periodic restricted Hamiltonian

Mathematics Subject Classification ID

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

Related Items (1)

Computer-assisted proofs of existence of KAM tori in planetary dynamical models of \(\upsilon\)-And \(\mathbf{b}\)

Cites Work

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• Normal form for lower dimensional elliptic tori in Hamiltonian systems
• Solar System Dynamics
• Notes on Hamiltonian Dynamical Systems
• Invariant tori in the secular motions of the three-body planetary systems
• High-order symplectic integrators for perturbed Hamiltonian systems

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