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Multiple Space Debris Collecting Mission—Debris Selection and Trajectory Optimization

M. Cerf ()
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M. Cerf: EADS Astrium Space Transportation

Journal of Optimization Theory and Applications, 2013, vol. 156, issue 3, No 12, 796 pages

Abstract: 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.

Keywords: Space debris; Orbital mechanics; Branch and bound; Linear programming (search for similar items in EconPapers)
Date: 2013
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DOI: 10.1007/s10957-012-0130-6

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