Using FLI maps for preliminary spacecraft trajectory design in multi-body environments
type: Item
instance of: scholarly article
title: Using FLI maps for preliminary spacecraft trajectory design in multi-body environments
zbMATH Open document ID: 1154.70323
author: B. F. Villac
published in: Celestial Mechanics and Dynamical Astronomy
publication date: 2009-02-27T00:00:00Z
Mathematics Subject Classification ID: 70F15
Mathematics Subject Classification ID: 70M20
Mathematics Subject Classification ID: 70F07
zbMATH DE Number: 5520129
zbMATH Keywords: Spacecraft trajectory design
zbMATH Keywords: Fast Lyapunov Indicator
zbMATH Keywords: Stability regions
zbMATH Keywords: Manifold detection
zbMATH Keywords: Restricted three-body problem
zbMATH Keywords: Jupiter missions
describes a project that uses: GAIO
MaRDI profile type: Publication
full work available at URL: s10569-008-9158-1
OpenAlex ID: W2065890128
cites work: Spurious structures in chaos indicators maps
cites work: Lyapunov characteristic exponents for smooth dynamical systems and for Hamiltonian systems; a method for computing all of them. I: Theory
cites work: Painting the Phase Space Portrait of an Integrable Dynamical System
cites work: Q4544293
cites work: TRANSPORT IN DYNAMICAL ASTRONOMY AND MULTIBODY PROBLEMS
cites work: Exit times and transport for symplectic twist maps
cites work: On the relationship between fast Lyapunov indicator and periodic orbits for continuous flows
cites work: On the structure of symplectic mappings. The fast Lyapunov indicator: A very sensitive tool
cites work: Fast Lyapunov indicators. Application to asteroidal motion
cites work: Analysis of the chaotic behaviour of orbits diffusing along the Arnold web
cites work: Connecting orbits and invariant manifolds in the spatial restricted three-body problem
cites work: On the numerical detection of the effective stability of chaotic motions in quasi-integrable systems
cites work: Q5642047
cites work: A Methodology for the Numerical Computation of Normal Forms, Centre Manifolds and First Integrals of Hamiltonian Systems
cites work: Heteroclinic connections between periodic orbits and resonance transitions in celestial mechanics
cites work: Fast estimation of stable regions in real models
cites work: On the relationship between fast Lyapunov indicator and periodic orbits for symplectic mappings
cites work: Detection of Arnold diffusion in Hamiltonian systems
cites work: Superexponential stability of KAM tori.
cites work: Q5646734
cites work: KAM tori are very sticky: Rigorous lower bounds on the time to move away from an invariant Lagrangian torus with linear flow
cites work: CHARACTERISTIC LYAPUNOV EXPONENTS AND SMOOTH ERGODIC THEORY
cites work: Global dynamics and fast indicators
cites work: BURRAU'S PROBLEM OF THREE BODIES
cites work: Detection of ordered and chaotic motion using the dynamical spectra
DOI: 10.1007/S10569-008-9158-1
description: scientific article; zbMATH DE number 5520129