3D orbital architecture of exoplanetary systems: KAM-stability analysis

DOI10.1134/S1560354724040038MaRDI QIDQ6612700

Mara Volpi, Marco Sansottera, Chiara Caracciolo, Ugo Locatelli

Publication date: 1 October 2024

Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)

zbMATH Keywords

stability criterionKAM torussecular modelKolmogorov normal forminclination-parameter spacelower-dimensional elliptic torus

Mathematics Subject Classification ID

Celestial mechanics (70F15) Stability problems for problems in Hamiltonian and Lagrangian mechanics (70H14) Nearly integrable Hamiltonian systems, KAM theory (70H08)

Cites Work

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• Kolmogorov's 1954 paper on nearly-integrable Hamiltonian systems
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• Stability analysis of apsidal alignment in double-averaged restricted elliptic three-body problem
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• Normal form for lower dimensional elliptic tori in Hamiltonian systems
• Kolmogorov and Nekhoroshev theory for the problem of three bodies
• Mathematical aspects of classical and celestial mechanics. Transl. from the Russian by E. Khukhro.
• On the construction of the Kolmogorov normal form for the Trojan asteroids
• PROOF OF A THEOREM OF A. N. KOLMOGOROV ON THE INVARIANCE OF QUASI-PERIODIC MOTIONS UNDER SMALL PERTURBATIONS OF THE HAMILTONIAN
• Invariant tori in the secular motions of the three-body planetary systems
• High-order symplectic integrators for perturbed Hamiltonian systems

Related Items (2)

Foreword ⋮ Sun-Jupiter-Saturn system may exist: a verified computation of quasiperiodic solutions for the planar three-body problem

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