Second-order Averaging of Low-Thrust Transfers in Fixed Time *
- Others:
- Mathematics for Control, Transport and Applications (McTAO) ; Inria Sophia Antipolis - Méditerranée (CRISAM) ; Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)
- University of California [San Diego] (UC San Diego) ; University of California (UC)
- Surrey Space Centre [Guildford] ; University of Surrey (UNIS)
Description
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.
Abstract
International audience
Additional details
- URL
- https://inria.hal.science/hal-04387944
- URN
- urn:oai:HAL:hal-04387944v1
- Origin repository
- UNICA