Abstract In this study, the final approach to a moon or other body from resonance is explored and compared to the invariant manifolds of unstable periodic orbits. It is shown that the stable manifolds of planar Lyapunov orbits can act as a guide for the periods or resonances that are required for the final approach in both the planar and spatial problems. Previously developed techniques for the planar problem are expanded for use with resonances and used for comparison with trajectories approaching a moon from these resonances. A similar technique is then used for exploring the relationship of invariant manifolds to approach trajectories in the spatial problem. It is shown that the invariant manifolds of unstable periodic orbits provide insight into the trajectory design, and they can be used as a guide to the more direct approach trajectories.

    Highlights Spatial approaches to moons are compared to unstable orbit invariant manifolds. Boundaries for trajectory approach design using invariant manifolds are developed. Lyapunov orbit invariant manifolds bound the upper approach resonance. Invariant manifolds of libration orbits lie on the boundary between approach types.


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    Title :

    Spatial approaches to moons from resonance relative to invariant manifolds


    Contributors:

    Published in:

    Acta Astronautica ; 105 , 1 ; 355-372


    Publication date :

    2014-09-24


    Size :

    18 pages




    Type of media :

    Article (Journal)


    Type of material :

    Electronic Resource


    Language :

    English





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