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

  • Michael Dellnitz
  • Oliver Junge
  • Marcus Post
  • Bianca Thiere
Conference paper


Recently new techniques for the design of energy efficient trajectories for space missions have been proposed that are based on the circular restricted three body problem as the underlying mathematical model. These techniques exploit the structure and geometry of certain invariant sets and associated invariant manifolds in phase space to systematically construct energy efficient flight paths. In this paper, we extend this model in order to account for a continuously applied control force on the spacecraft as realized by certain low thrust propulsion systems. We show how the techniques for the trajectory design can be suitably augmented and compute approximations to trajectories for a mission to Venus.


Set oriented numerics Dynamical system Earth venus transfer Three body problem Low thrust trajectory Invariant manifold Reachable set Space mission design 


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Copyright information

© Springer Science+Business Media B.V. 2006

Authors and Affiliations

  • Michael Dellnitz
    • 1
  • Oliver Junge
    • 2
  • Marcus Post
    • 1
  • Bianca Thiere
    • 1
  1. 1.Faculty of Computer Science, Electrical Engineering and MathematicsUniversity of PaderbornPaderbornGermany
  2. 2.Center for Mathematical SciencesMunich University of TechnologyGarchingGermany

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