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Extraction and Visualization of Poincare Map Topology for Spacecraft Trajectory Design.
IEEE Transactions on Visualization and Computer Graphics
|October 13, 2020
Summary
This study introduces new algorithms for visualizing complex orbital dynamics, aiding spacecraft trajectory planning. The methods help discover energy-efficient paths in multi-body systems using topology visualization.
Area of Science:
- Astrodynamics
- Computational Physics
- Space Mission Design
Background:
- Spacecraft trajectory planning requires analyzing complex dynamical models in multi-body gravitational systems.
- Poincare maps are essential tools for navigating periodic orbits and invariant manifolds.
- Extracting and visualizing the topology of these systems presents significant challenges.
Purpose of the Study:
- To develop algorithmic solutions for characterizing and visualizing the topology of dynamical systems in astrodynamics.
- To enable effective visual analysis of structural landscapes for spacecraft trajectory planning.
- To assist mission designers in identifying energy-efficient trajectories.
Main Methods:
- Development of novel algorithms for topological characterization in astrodynamics.
- Implementation of an interactive visualization framework for exploring dynamical structures.
- Application of the framework to the circular restricted three-body problem (CR3BP).
Main Results:
- Successful extraction and visual analysis of the structural landscape in astrodynamical problems.
- Discovery of novel periodic orbits and their associated invariant manifolds within the CR3BP.
- Demonstration of interactive transfer selection capabilities for trajectory planning.
Conclusions:
- The proposed topology visualization framework effectively aids spacecraft trajectory planning.
- It enables mission designers to exploit natural dynamics pathways for energy-efficient designs.
- The methods reveal new insights into the complex dynamics of multi-body systems.
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