Surfaces of section in the Miranda-Umbriel 3:1 inclination problem

DOI10.1007/BF00692129zbMath0811.70010WikidataQ56057561 ScholiaQ56057561MaRDI QIDQ1341039

Jacques Henrard, Michèle Moons

Publication date: 24 January 1995

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

zbMATH Keywords

tidal evolutionsecondary resonanceschaotic layersorbit-orbit resonance

Mathematics Subject Classification ID

Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Celestial mechanics (70F15) Generalized coordinates; event, impulse-energy, configuration, state, or phase space for problems in mechanics (70G10)

Related Items (4)

The integrable cases of the three-body problem at second-order resonance under the high oblateness of the central body ⋮ The \(3:1\) mean motion resonance between Miranda and the inner Uranian satellites, Cressida and Desdemona ⋮ An introduction to Hamiltonian dynamical systems and practical perturbation methods: New insight by successive elimination of perturbation harmonics ⋮ On the successive elimination of perturbation harmonics

Cites Work

• A semi-numerical perturbation method for separable Hamiltonian systems
• The origin of chaotic behaviour in the Miranda-Umbriel 3:1 resonances
• On the successive elimination of perturbation harmonics
• Capture into resonance: An extension of the use of adiabatic invariants
• Slowly pulsating separatrices sweep homoclinic tangles where islands must be small: an extension of classical adiabatic theory
• Slow crossing of a stochastic layer
• Slow crossing of a stochastic layer

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