An algorithm for the second-order approximation of fixed-time, low-thrust orbital transfers and generation of Bacon plots is proposed. After averaging the extremal flow of the optimal-control Hamiltonian, a one-parameter family of solutions of a reduced-order, two-point boundary value problems is computed by means of a differential-continuation scheme. Sensitivities of the shooting function are then used in conjunction with an ad hoc near-identity transformation between averaged and osculating variables to achieve an accurate solution for all longitudes of the departure and arrival orbits. Hence, a single simplified shooting problem has to be solved to approximate the solution for any combination of departure and arrival dates and to draw a Bacon plot for an arbitrary launch window. Both the averaged flow and the near-identity transformation are efficiently evaluated via the fast-Fourier transform algorithm, yielding a fully numerical procedure.


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    Titel :

    Second-Order Averaging of Low-Thrust Transfers in Fixed Time


    Beteiligte:

    Erschienen in:

    Erscheinungsdatum :

    01.06.2024




    Medientyp :

    Aufsatz (Konferenz) , Aufsatz (Zeitschrift)


    Format :

    Elektronische Ressource


    Sprache :

    Englisch





    Averaging Technics in Optimal Control for Orbital Low-Thrust Transfers and Rendezvous Computation

    Geffroy, S. / Epenoy, R. / Noailles, J. | British Library Conference Proceedings | 1996


    Minimum-Time Continuous-Thrust Orbit Transfers

    Thorne, James D. / Hall, Christopher D. | Springer Verlag | 1997


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    Thorne, James D. | Online Contents | 1997


    Minimum-Time Continuous-Thrust Orbit Transfers

    Thorne, James D. / Hall, Christopher D. | Online Contents | 1997