Several formulations are possible for the optimization of N-impulse two-body orbit transfers. One formulation that assumes the first N − 1 impulses are design variables, and implements Lambert’s algorithm in the final leg is considered here. This paper presents a derivation for the analytic expressions of the gradients needed to optimize a transfer using this formulation. The derivations of the analytic gradients, verification tests using complex-step differentiation, as well as numerical case studies for three-impulse orbit transfers are presented. The numerical case studies highlight a significant reduction in the computational cost, measured in terms of the number of objective function evaluations.


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    Titel :

    Impact of Using Analytic Derivatives In Optimization For N-Impulse Orbit Transfer Problems


    Weitere Titelangaben:

    J Astronaut Sci


    Beteiligte:

    Erschienen in:

    Erscheinungsdatum :

    01.04.2022


    Format / Umfang :

    33 pages




    Medientyp :

    Aufsatz (Zeitschrift)


    Format :

    Elektronische Ressource


    Sprache :

    Englisch




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