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Newton’s Method for Global Free Flight Trajectory Optimization

Author

Listed:
  • Ralf Borndörfer

    (Zuse Institute Berlin)

  • Fabian Danecker

    (Zuse Institute Berlin
    Zuse Institute Berlin)

  • Martin Weiser

    (Zuse Institute Berlin)

Abstract

Globally optimal free flight trajectory optimization can be achieved with a combination of discrete and continuous optimization. A key requirement is that Newton’s method for continuous optimization converges in a sufficiently large neighborhood around a minimizer. We show in this paper that, under certain assumptions, this is the case.

Suggested Citation

  • Ralf Borndörfer & Fabian Danecker & Martin Weiser, 2023. "Newton’s Method for Global Free Flight Trajectory Optimization," SN Operations Research Forum, Springer, vol. 4(3), pages 1-41, September.
    • Handle: RePEc:spr:snopef:v:4:y:2023:i:3:d:10.1007_s43069-023-00238-z
    DOI: 10.1007/s43069-023-00238-z
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    References listed on IDEAS

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    1. Bernardetta Addis & Andrea Cassioli & Marco Locatelli & Fabio Schoen, 2011. "A global optimization method for the design of space trajectories," Computational Optimization and Applications, Springer, vol. 48(3), pages 635-652, April.
    2. Jin Y. Yen, 1971. "Finding the K Shortest Loopless Paths in a Network," Management Science, INFORMS, vol. 17(11), pages 712-716, July.
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