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Conference Papers Year : 2023

Efficient Numerical Solution of the Low-Thrust Lambert Problem

Abstract

An algorithm for the numerical solution of low-thrust Lambert's problem 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 achieved 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 (i.e., to draw a so-called "pork-chop chart"). 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-04050277 , version 1 (29-03-2023)

Identifiers

  • HAL Id : hal-04050277 , version 1

Cite

Lamberto Dell'Elce, Alesia Herasimenka, Aaron J Rosengren, Nicola Baresi. Efficient Numerical Solution of the Low-Thrust Lambert Problem. SFMM 2023 / 33rd AAS/AIAA Space Flight Mechanics Meeting, AAS, Jan 2023, Austin, United States. ⟨hal-04050277⟩
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