Astronomy and Astrophysics – Astronomy
Scientific paper
May 2006
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2006cemda..95..357d&link_type=abstract
Celestial Mechanics and Dynamical Astronomy, Volume 95, Issue 1-4, pp. 357-370
Astronomy and Astrophysics
Astronomy
7
Set Oriented Numerics, Dynamical System, Earth Venus Transfer, Three Body Problem, Low Thrust Trajectory, Invariant Manifold, Reachable Set, Space Mission Design
Scientific 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.
Dellnitz Michael
Junge Oliver
Post Marcus
Thiere Bianca
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