Tools to detect structures in dynamical systems using jet transport

DOI10.1007/s10569-015-9634-3zbMath1428.70039OpenAlexW2275475826MaRDI QIDQ748297

Daniel Pérez-Palau, Josep J. Masdemont, Gerard Gomez

Publication date: 20 October 2015

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

Full work available at URL: http://hdl.handle.net/2445/165978

zbMATH Keywords

circular restricted three-body problemelliptic restricted three-body problemsimple pendulumfinite time Lyapunov exponentsinvariant structuresjet transportLagrangian coherent structures (LCS)perturbed pendulum

Mathematics Subject Classification ID

Three-body problems (70F07) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) Motion of a rigid body with a fixed point (70E17)

Related Items (11)

Fuel optimization for low-thrust Earth-Moon transfer via indirect optimal control ⋮ High-order resonant orbit manifold expansions for mission design in the planar circular restricted 3-body problem ⋮ Uncertainty maps for motion around binary asteroids ⋮ Low-thrust station-keeping control for lunar near rectilinear halo orbits ⋮ Station-keeping for Earth-Moon solar-sail resonant libration point orbits ⋮ A Reduced Order Modeling Framework for Strongly Perturbed Nonlinear Dynamical Systems Near Arbitrary Trajectory Sets ⋮ Polynomial stochastic dynamical indicators ⋮ A new subdivision algorithm for the flow propagation using polynomial algebras ⋮ Transition state theory with quasi-periodic forcing ⋮ Numerical integration of high-order variational equations of ODEs ⋮ Rapid and accurate methods for computing whiskered tori and their manifolds in periodically perturbed planar circular restricted 3-body problems

Uses Software

• PARI/GP
• TIDES
• CAPD
• Cosy
• Taylor

Cites Work

• Unnamed Item
• A variational theory of hyperbolic Lagrangian coherent structures
• Asteroid close encounters characterization using differential algebra: the case of apophis
• Propagation of large uncertainty sets in orbital dynamics by automatic domain splitting
• Lagrangian coherent structures in the planar elliptic restricted three-body problem
• Lagrangian coherent structures and mixing in two-dimensional turbulence
• Definition and properties of Lagrangian coherent structures from finite-time Lyapunov exponents in two-dimensional aperiodic flows
• Dynamics and Mission Design Near Libration Points
• Practical Stability Domains Near L 4,5 in the Restricted Three-Body Problem: Some Preliminary Facts
• Algorithm 924
• A Software Package for the Numerical Integration of ODEs by Means of High-Order Taylor Methods
• Transport of inertial particles by Lagrangian coherent structures: application to predator–prey interaction in jellyfish feeding
• A Methodology for the Numerical Computation of Normal Forms, Centre Manifolds and First Integrals of Hamiltonian Systems

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