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Construction of stable periodic orbits for the spin-orbit problem of celestial mechanics

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Publication:1302452
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DOI10.1070/rd1998v003n03ABEH000084zbMath0988.37098MaRDI QIDQ1302452

Alessandra Celletti, Luigi Chierchia

Publication date: 14 July 2002

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


zbMATH Keywords

Lyapunov stabilitycelestial mechanicsspin-orbit resonancesBirkhoff periodic orbitslibrational KAM invariant surfacesresonant relations


Mathematics Subject Classification ID

Celestial mechanics (70F15) Dynamical systems in classical and celestial mechanics (37N05)


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Quantitative \textsc{kam} theory, with an application to the three-body problem ⋮ The planetary \(N\)-body problem: symplectic foliation, reductions and invariant tori ⋮ Periodic and quasi-periodic attractors of weakly-dissipative nearly-integrable systems ⋮ Exponential stability of fast driven systems, with an application to celestial mechanics



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