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Multiple Space Debris Collecting Mission—Debris Selection and Trajectory Optimization

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  • M. Cerf

    (EADS Astrium Space Transportation)

Abstract

This paper investigates the cost requirement for a space debris collecting mission aimed at removing heavy debris from low Earth orbits. The problem mixes combinatorial optimization to select the debris among a list of candidates and functional optimization to define the orbital manoeuvres. The solving methodology proceeds in two steps: Firstly, a specific transfer strategy with impulsive manoeuvres is defined so that the problem becomes of finite dimension; secondly the problem is linearized around an initial reference solution. A Branch and Bound algorithm is then applied iteratively to optimize simultaneously the debris selection and the orbital manoeuvres, yielding a new reference solution. The optimal solutions found are close to the initial guess despite a very complicated design space. The method is exemplified on a representative application case.

Suggested Citation

  • M. Cerf, 2013. "Multiple Space Debris Collecting Mission—Debris Selection and Trajectory Optimization," Journal of Optimization Theory and Applications, Springer, vol. 156(3), pages 761-796, March.
    • Handle: RePEc:spr:joptap:v:156:y:2013:i:3:d:10.1007_s10957-012-0130-6
    DOI: 10.1007/s10957-012-0130-6
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    References listed on IDEAS

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    1. H. J. Oberle & K. Taubert, 1997. "Existence and Multiple Solutions of the Minimum-Fuel Orbit Transfer Problem," Journal of Optimization Theory and Applications, Springer, vol. 95(2), pages 243-262, November.
    2. Sedeño-Noda, Antonio & González-Martín, Carlos, 2010. "On the K shortest path trees problem," European Journal of Operational Research, Elsevier, vol. 202(3), pages 628-635, May.
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    Cited by:

    1. Max Cerf, 2015. "Multiple Space Debris Collecting Mission: Optimal Mission Planning," Journal of Optimization Theory and Applications, Springer, vol. 167(1), pages 195-218, October.

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