Optimization and Sensitivity Analysis of Trajectories for Autonomous Small Celestial Body Operations

  • Anne Schattel
  • Andreas Cobus
  • Mitja Echim
  • Christof Büskens
Conference paper
Part of the Mathematics in Industry book series (MATHINDUSTRY, volume 26)


Within this paper, a method for on-board trajectory calculation in the vicinity of a small celestial body is introduced. Therefore, high precision methods of nonlinear optimization and optimal control are used. Additionally, a parametric sensitivity analysis is implemented. This tool allows to approximate a perturbed optimal solution in case of model parameter deviations from nominal values without noticeable computational effort. Parametric sensitivity analysis is a recent research area of great interest. Parameter perturbations that occur in the dynamic of the system as well as in boundary conditions or in state and control constraints can be analyzed. Thus, additional stability information is provided. Furthermore, the fast and reliable approximation of perturbed controls can be used for real-time control in time critical navigation phases.



This work was supported by the German Aerospace Center (DLR) with financial means of the German Federal Ministry for Economic Affairs and Energy (BMWi), project “KaNaRiA” (grant No. 50 NA 1318).


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Copyright information

© Springer International Publishing AG, part of Springer Nature 2017

Authors and Affiliations

  • Anne Schattel
    • 1
  • Andreas Cobus
    • 1
  • Mitja Echim
    • 1
  • Christof Büskens
    • 1
  1. 1.Center for Industrial MathematicsUniversity of BremenBremenGermany

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