The origin of chaotic behaviour in the Miranda-Umbriel 3:1 resonances

DOI10.1007/BF00051013zbMath0697.70022OpenAlexW2021755495MaRDI QIDQ911824

Massae Sato, Jacques Henrard

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1007/bf00051013

zbMATH Keywords

commensurabilityseparatrixtidal evolutionMirandaorbital mean motionspericentric resonancesperturbation treatmentprimary resonancessecondary resonancesUmbriel

Mathematics Subject Classification ID

Bifurcations and instability for nonlinear problems in mechanics (70K50) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Celestial mechanics (70F15)

Related Items

Surfaces of section in the Miranda-Umbriel 3:1 inclination problem ⋮ The integrable cases of the three-body problem at second-order resonance under the high oblateness of the central body ⋮ Dynamics of Enceladus and Dione inside the 2:1 mean-motion resonance under tidal dissipation ⋮ The \(3:1\) mean motion resonance between Miranda and the inner Uranian satellites, Cressida and Desdemona ⋮ Construction of invariant tori for the spin-orbit problem in the Mercury-Sun system ⋮ Chaotic Di?usion of Asteroids ⋮ A semi-numerical perturbation method for separable Hamiltonian systems

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