Using FLI maps for preliminary spacecraft trajectory design in multi-body environments
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Publication:1003189
DOI10.1007/s10569-008-9158-1zbMath1154.70323OpenAlexW2065890128MaRDI QIDQ1003189
Publication date: 27 February 2009
Published in: Celestial Mechanics and Dynamical Astronomy (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10569-008-9158-1
Stability regionsRestricted three-body problemFast Lyapunov IndicatorJupiter missionsManifold detectionSpacecraft trajectory design
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Uses Software
Cites Work
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- Spurious structures in chaos indicators maps
- Analysis of the chaotic behaviour of orbits diffusing along the Arnold web
- Fast estimation of stable regions in real models
- Lyapunov characteristic exponents for smooth dynamical systems and for Hamiltonian systems; a method for computing all of them. I: Theory
- KAM tori are very sticky: Rigorous lower bounds on the time to move away from an invariant Lagrangian torus with linear flow
- Fast Lyapunov indicators. Application to asteroidal motion
- Detection of Arnold diffusion in Hamiltonian systems
- Superexponential stability of KAM tori.
- On the relationship between fast Lyapunov indicator and periodic orbits for continuous flows
- Detection of ordered and chaotic motion using the dynamical spectra
- Painting the Phase Space Portrait of an Integrable Dynamical System
- CHARACTERISTIC LYAPUNOV EXPONENTS AND SMOOTH ERGODIC THEORY
- Heteroclinic connections between periodic orbits and resonance transitions in celestial mechanics
- A Methodology for the Numerical Computation of Normal Forms, Centre Manifolds and First Integrals of Hamiltonian Systems
- Exit times and transport for symplectic twist maps
- Connecting orbits and invariant manifolds in the spatial restricted three-body problem
- TRANSPORT IN DYNAMICAL ASTRONOMY AND MULTIBODY PROBLEMS
- BURRAU'S PROBLEM OF THREE BODIES
- On the structure of symplectic mappings. The fast Lyapunov indicator: A very sensitive tool
- On the numerical detection of the effective stability of chaotic motions in quasi-integrable systems
- On the relationship between fast Lyapunov indicator and periodic orbits for symplectic mappings
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