Measures of basins of attraction in spin-orbit dynamics

DOI10.1007/s10569-008-9142-9zbMath1342.70035OpenAlexW1985415674MaRDI QIDQ931239

Luigi Chierchia, Alessandra Celletti

Publication date: 25 June 2008

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

Full work available at URL: https://doi.org/10.1007/s10569-008-9142-9

zbMATH Keywords

dissipative systemsattraction basinsperiodic attractorsspin-orbit problemquasi-periodic attractors

Mathematics Subject Classification ID

Nonlinear dynamics in mechanics (70K99) Celestial mechanics (70F15) Orbital mechanics (70M20) Dynamical systems in classical and celestial mechanics (37N05)

Related Items (18)

Fast numerics for the spin orbit equation with realistic tidal dissipation and constant eccentricity ⋮ Basins of attraction in forced systems with time-varying dissipation ⋮ A symplectic mapping for the synchronous spin-orbit problem ⋮ Influence of the coorbital resonance on the rotation of the trojan satellites of saturn ⋮ Computation of domains of analyticity for the dissipative standard map in the limit of small dissipation ⋮ Periodic and quasi-periodic attractors of weakly-dissipative nearly-integrable systems ⋮ Steady state obliquity of a rigid body in the spin-orbit resonant problem: application to Mercury ⋮ Hamiltonian formulation of the spin-orbit model with time-varying non-conservative forces ⋮ Quasi-periodic motions in a special class of dynamical equations with dissipative effects: a pair of detection methods ⋮ Regions of stability in rotational dynamics ⋮ Resonance tongues in the linear Sitnikov equation ⋮ Existence of whiskered KAM tori of conformally symplectic systems ⋮ Quasi-periodic attractors in celestial mechanics ⋮ Low-order resonances in weakly dissipative spin-orbit models ⋮ Some Rigorous Results on the 1:1 Resonance of the Spin-Orbit Problem ⋮ The spin-spin problem in celestial mechanics ⋮ The high-order Euler method and the spin-orbit model ⋮ Attractiveness of periodic orbits in parametrically forced systems with time-increasing friction

Cites Work

• KAM tori for \(n\)-body problems: a brief history
• Analysis of resonances in the spin-orbit problem in celestial mechanics. I: The synchronous resonance
• Low-order resonances in weakly dissipative spin-orbit models
• Large scale chaos and marginal stability in the solar system
• Towards global models near homoclinic tangencies of dissipative diffeomorphisms
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