Efficient Numerical Solution of the Low-Thrust Lambert Problem
- 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)
- AAS
Description
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.
Abstract
International audience
Additional details
- URL
- https://hal.inria.fr/hal-04050277
- URN
- urn:oai:HAL:hal-04050277v1
- Origin repository
- UNICA