Modern Astrodynamics

5

Set Oriented Numerical Methods in Space Mission Design

MICHAEL DELLNILZ ¹

¹Institute for Mathematics, University of Paderborn, Germany.

OLIVER JUNGE ²

²Center for Mathematical Sciences, Munich University of Technology, Germany.

Contents

5.1. Introduction

5.2. Dynamical systems and mission design

5.3. Set oriented numerics

5.4. Computing invariant manifolds

5.5. Detecting connecting orbits

5.6. Extension to controlled systems

5.7. Conclusion

References

5.1 Introduction

New techniques for the design of energy efficient trajectories for space missions have been proposed which are based on the circular restricted three-body problem as the underlying mathematical model. These techniques exploit the structure and geometry of certain ...