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Journal Articles Journal of Guidance, Control, and Dynamics Year : 2024

Second-order Averaging of Low-Thrust Transfers in Fixed Time *

Abstract

An algorithm for the second-order approximation of fixed-time, low-thrust orbital transfersand 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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Dates and versions

hal-04387944 , version 1 (11-01-2024)

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  • HAL Id : hal-04387944 , version 1

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Lamberto Dell'Elce, Alesia Herasimenka, Aaron J Rosengren, Nicola Baresi. Second-order Averaging of Low-Thrust Transfers in Fixed Time *. Journal of Guidance, Control, and Dynamics, In press. ⟨hal-04387944⟩
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