Singular fuel-optimal space trajectories based on linearization about a point in circular orbit
type: Item
instance of: scholarly article
title: Singular fuel-optimal space trajectories based on linearization about a point in circular orbit
zbMATH Open document ID: 0596.93032
DOI: 10.1007/BF00940195
published in: Journal of Optimization Theory and Applications
publication date: 1987-01-01T00:00:00Z
review text: Singular solutions of a linearized problem of determining fuel-optimal trajectories of a spacecraft with bounded thrust near a satellite in circular orbit are investigated in detail. Mathematical results are presented which classify and discuss degeneracy of the singular solutions and which show that strictly singular and nonsingular solutions are mutually exclusive for fixed end conditions. These results are consistent with those found using other approaches for other linear models, but they are not characteristic of the type of results obtained without linearization.
Mathematics Subject Classification ID: 93C15
Mathematics Subject Classification ID: 34C05
Mathematics Subject Classification ID: 70M20
Mathematics Subject Classification ID: 58C25
Mathematics Subject Classification ID: 58K99
Mathematics Subject Classification ID: 93C10
Mathematics Subject Classification ID: 70Q05
zbMATH DE Number: 3961446
zbMATH Keywords: singular solutions
zbMATH Keywords: fuel-optimal trajectories
zbMATH Keywords: spacecraft
zbMATH Keywords: circular orbit
zbMATH Keywords: linearization
zbMATH Keywords: optimal rendezvous
author: Thomas E. Carter
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 3961446