Numerical and analytical study of optimal low-thrust limited-power transfers between close circular coplanar orbits
type: Item
instance of: scholarly article
title: Numerical and analytical study of optimal low-thrust limited-power transfers between close circular coplanar orbits
zbMATH Open document ID: 1360.70037
DOI: 10.1155/2007/59372
author: Wander Almodovar Golfetto
author: Sandro da Silva Fernandes
published in: Mathematical Problems in Engineering
publication date: 2008-11-24T00:00:00Z
review text: Summary: A numerical and analytical study of optimal low-thrust limited-power trajectories for simple transfer (no rendezvous) between close circular coplanar orbits in an inverse-square force field is presented. The numerical study is carried out by means of an indirect approach of the optimization problem in which the two-point boundary value problem, obtained from the set of necessary conditions describing the optimal solutions, is solved through a neighboring extremal algorithm based on the solution of the linearized two-point boundary value problem through Riccati transformation. The analytical study is provided by a linear theory which is expressed in terms of nonsingular elements and is determined through the canonical transformation theory. The fuel consumption is taken as the performance criterion and the analysis is carried out considering various radius ratios and transfer durations. The results are compared to the ones provided by a numerical method based on gradient techniques.
Mathematics Subject Classification ID: 70M20
Mathematics Subject Classification ID: 34C20
Mathematics Subject Classification ID: 49K15
Mathematics Subject Classification ID: 49M05
Mathematics Subject Classification ID: 70Q05
zbMATH DE Number: 5371801
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2007/59372
OpenAlex ID: W1990283584
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description: scientific article; zbMATH DE number 5371801