Some results on the global dynamics of the regularized restricted three-body problem with dissipation

DOI10.1007/S10569-010-9326-YzbMath1270.70029OpenAlexW2022964354MaRDI QIDQ362635

Letizia Stefanelli, Alessandra Celletti, Claude Froeschlé, Elena Lega

Publication date: 30 August 2013

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

Full work available at URL: https://doi.org/10.1007/s10569-010-9326-y

zbMATH Keywords

three-body problemStokes dragdissipative effectsPoynting-Robertson effectregularization theory

Mathematics Subject Classification ID

Three-body problems (70F07) Periodic and almost periodic solutions for problems in Hamiltonian and Lagrangian mechanics (70H12)

Related Items (15)

Three-dimensional representations of the tube manifolds of the planar restricted three-body problem ⋮ Some analytical results about periodic orbits in the restricted three body problem with dissipation ⋮ Periodic motions in a gravitational central field with a rotating external force ⋮ Unnamed Item ⋮ Some aspects of conservative and dissipative KAM theorems ⋮ On the Lambert problem with drag ⋮ Revisiting the Kepler problem with linear drag using the blowup method and normal form theory ⋮ Theory and applications of fast Lyapunov indicators to model problems of celestial mechanics ⋮ Regularization of the circular restricted three-body problem using `similar' coordinate systems ⋮ A cartographic study of the phase space of the elliptic restricted three body problem. Application to the Sun-Jupiter-asteroid system ⋮ Dynamics of Kepler problem with linear drag ⋮ Normal form construction for nearly-integrable systems with dissipation ⋮ A dissipative Kepler problem with a family of singular drags ⋮ The numerical detection of the Arnold web and its use for long-term diffusion studies in conservative and weakly dissipative systems ⋮ Existence and stability of equilibrium points under the influence of Poynting-Robertson and Stokes drags in the restricted three-body problem

Cites Work

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• Motion of dust in mean motion resonances with planets
• On the dynamics of extrasolar planetary systems under dissipation: Migration of planets
• A numerical study of the size of the homoclinic tangle of hyperbolic tori and its correlation with Arnold diffusion in Hamiltonian systems
• A global regularisation for integrating the Caledonian symmetric four-body problem
• Fast Lyapunov indicators. Application to asteroidal motion
• Singularities, Collisions and Regularization Theory
• Solar System Dynamics

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