On target for Venus -- set oriented computation of energy efficient low thrust trajectories

DOI10.1007/s10569-006-9008-yzbMath1219.70067OpenAlexW2152853289MaRDI QIDQ850678

Oliver Junge, Bianca Thiere, Marcus Post, Michael Dellnitz

Publication date: 6 November 2006

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

Full work available at URL: https://doi.org/10.1007/s10569-006-9008-y

zbMATH Keywords

Dynamical systemEarth Venus transferInvariant manifoldLow thrust trajectoryReachable setSet oriented numericsSpace mission designThree body problem

Mathematics Subject Classification ID

Computational methods for problems pertaining to mechanics of particles and systems (70-08) Celestial mechanics (70F15) Orbital mechanics (70M20)

Related Items (16)

Earth-Mars transfers with ballistic escape and low-thrust capture ⋮ Regions of prevalence in the coupled restricted three-body problems approximation ⋮ Efficient invariant-manifold, low-thrust planar trajectories to the Moon ⋮ Intersecting invariant manifolds in spatial restricted three-body problems: design and optimization of Earth-to-halo transfers in the Sun-Earth-Moon scenario ⋮ Geometry of escape and transition dynamics in the presence of dissipative and gyroscopic forces in two degree of freedom systems ⋮ Earth-Mars halo to halo low thrust manifold transfers ⋮ A multi-objective approach to the design of low thrust space trajectories using optimal control ⋮ Low-energy, low-thrust transfers to the Moon ⋮ Symmetry in Optimal Control: A Multiobjective Model Predictive Control Approach ⋮ Provably convergent implementations of the subdivision algorithm for the computation of invariant objects ⋮ Transfers between libration point orbits of Sun-Earth and Earth-Moon systems by using invariant manifolds ⋮ Efficient representation of invariant manifolds of periodic orbits in the CRTBP ⋮ Solving optimal control problems by exploiting inherent dynamical systems structures ⋮ Optimization-based subdivision algorithm for reachable sets ⋮ Combined low-thrust propulsion and invariant manifold trajectories to capture NEOs in the Sun-Earth circular restricted three-body problem ⋮ High-order solutions around triangular libration points in the elliptic restricted three-body problem and applications to low energy transfers

Uses Software

• RODAS

Cites Work

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• Dynamics and Mission Design Near Libration Points
• BURRAU'S PROBLEM OF THREE BODIES
• Introduction to Hamiltonian dynamical systems and the \(N\)-body problem
• The dynamics of control. With an appendix by Lars Grüne
• The numerical detection of connecting orbits

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