Stability of the synchronous spin-orbit resonance by construction of librational trapping tori

DOI10.1007/BF00692482zbMath0836.70010OpenAlexW2056772155MaRDI QIDQ1311642

Alessandra Celletti

Publication date: 21 January 1994

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

Full work available at URL: https://doi.org/10.1007/bf00692482

Mathematics Subject Classification ID

Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Celestial mechanics (70F15) Orbital mechanics (70M20) Stability theory for smooth dynamical systems (37C75)

Related Items (2)

A resonant-term-based model including a nascent disk, precession, and oblateness: application to GJ 876 ⋮ Stability of the synchronous spin-orbit resonance by construction of librational trapping tori

Cites Work

• Unnamed Item
• Analysis of resonances in the spin-orbit problem in celestial mechanics. I: The synchronous resonance
• Stability of the synchronous spin-orbit resonance by construction of librational trapping tori
• Rigorous estimates for a computer-assisted KAM theory
• PROOF OF A THEOREM OF A. N. KOLMOGOROV ON THE INVARIANCE OF QUASI-PERIODIC MOTIONS UNDER SMALL PERTURBATIONS OF THE HAMILTONIAN

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