Regions of stability in rotational dynamics

DOI10.1007/S10569-010-9267-5zbMath1291.70034OpenAlexW1980142964MaRDI QIDQ990350

Alessandra Celletti, George Voyatzis

Publication date: 31 August 2010

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

Full work available at URL: https://doi.org/10.1007/s10569-010-9267-5

zbMATH Keywords

Lyapunov exponentsrotational dynamicsstability mapsnon-synchronous resonancerotational resonancestriaxial planets

Mathematics Subject Classification ID

Celestial mechanics (70F15) Stability problems in rigid body dynamics (70E50)

Related Items (1)

Corrections stemming from the non-osculating character of the Andoyer variables used in the description of rotation of the elastic Earth

Cites Work

• The \(3:2\) spin-orbit resonant motion of Mercury
• Analysis of resonances in the spin-orbit problem in celestial mechanics. I: The synchronous resonance
• Analysis of resonances in the spin-orbit problem in celestial mechanics. II: Higher order resonances and some numerical experiments
• Titan's rotational state: the effects of a forced ``free resonant wobble.
• Tidal friction in close-in satellites and exoplanets: the Darwin theory re-visited
• Measures of basins of attraction in spin-orbit dynamics
• The spin-orbit resonant rotation of Mercury: a two degree of freedom Hamiltonian model
• Rotational evolution of exoplanets under the action of gravitational and magnetic perturbations

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