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Cambridge Aerospace Series : Spacecraft Trajectory Optimization Series Number 29 - Bruce A. Conway

Cambridge Aerospace Series

Spacecraft Trajectory Optimization Series Number 29

By: Bruce A. Conway (Editor)

Hardcover Published: 23rd August 2010
ISBN: 9780521518505
Number Of Pages: 312

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This is a long-overdue volume dedicated to space trajectory optimization. Interest in the subject has grown, as space missions of increasing levels of sophistication, complexity, and scientific return - hardly imaginable in the 1960s - have been designed and flown. Although the basic tools of optimization theory remain an accepted canon, there has been a revolution in the manner in which they are applied and in the development of numerical optimization. This volume purposely includes a variety of both analytical and numerical approaches to trajectory optimization. The choice of authors has been guided by the editor's intention to assemble the most expert and active researchers in the various specialities presented. The authors were given considerable freedom to choose their subjects, and although this may yield a somewhat eclectic volume, it also yields chapters written with palpable enthusiasm and relevance to contemporary problems.

Prefacep. xi
The Problem of Spacecraft Trajectory Optimizationp. 1
Introductionp. 1
Solution Methodsp. 3
The Situation Today with Regard to Solving Optimal Control Problemsp. 12
Referencesp. 13
Primer Vector Theory and Applicationsp. 16
Introductionp. 16
First-Order Necessary Conditionsp. 17
Solution to the Primer Vector Equationp. 23
Application of Primer Vector Theory to an Optimal Impulsive Trajectoryp. 24
Referencesp. 36
Spacecraft Trajectory Optimization Using Direct Transcription and Nonlinear Programmingp. 37
Introductionp. 37
Transcription Methodsp. 40
Selection of Coordinatesp. 52
Modeling Propulsion Systemsp. 60
Generating an Initial Guessp. 62
Computational Considerationsp. 65
Verifying Optimallyp. 71
Referencesp. 76
Elements of a Software System for Spacecraft Trajectory Optimizationp. 79
Introductionp. 79
Trajectory Modelp. 80
Equations of Motionp. 85
Finite Burn Control Modelsp. 85
Solution Methodsp. 90
Trajectory Design and Optimization Examplesp. 93
Concluding Remarksp. 110
Referencesp. 110
Low-Thrust Trajectory Optimization Using Orbital Averaging and Control Parameterizationp. 112
Introduction and Backgroundp. 112
Low-Thrust Trajectory Optimizationp. 113
Numerical Resultsp. 125
Conclusionsp. 136
Nomenclaturep. 136
Referencesp. 138
Analytic Representations of Optimal Low-Thrust Transfer in Circular Orbitp. 139
lntroductionp. 139
The Optimal Unconstrained Transferp. 141
The Optimal Transfer with Altitude Constraintsp. 145
The Split-Sequence Transfersp. 157
Referencesp. 177
Global Optimization and Space Pruning for Spacecraft Trajectory Designp. 178
Introductionp. 178
Notationp. 179
Problem Transcriptionp. 179
The MGA Problemp. 181
The MGA-1DSM Problemp. 183
Benchmark Problemsp. 186
Global Optimizationp. 190
Space Pruningp. 194
Concluding Remarksp. 197
p. 198
p. 199
Referencesp. 200
Incremental Techniques for Global Space Trajectory Designp. 202
Introductionp. 202
Modeling MGA Trajectoriesp. 203
The Incremental Approachp. 209
Testing Procedure and Performance Indicatorsp. 216
Case Studiesp. 221
Conclusionsp. 234
Referencesp. 235
Optimal Low-Thrust Trajectories Using Stable Manifoldsp. 238
Introductionp. 238
System Dynamicsp. 240
Basics of Trajectory Optimizationp. 247
Generation of Periodic Orbit Constructed as an Optimization Problemp. 250
Optimal Earth Orbit to Lunar Orbit Transfer: Part 1-GTO to Periodic Orbitp. 253
Optimal Earth Orbit to Lunar Orbit Transfer: Part 2-Periodic Orbit to Low-Lunar Orbitp. 256
Extension of the Work to Interplanetary Flightp. 259
Conclusionsp. 260
Referencesp. 26l
Swarming Theory Applied to Space Trajectory Optimizationp. 263
Introductionp. 263
Description of the Methodp. 266
Lyapunov Periodic Orbitsp. 269
Lunar Periodic Orbitsp. 274
Optimal Low-Impulse Orbital Rendezvousp. 277
Optimal Low-Thrust Orbital Transfersp. 284
Concluding Remarksp. 290
Referencesp. 291
Indexp. 295
Table of Contents provided by Ingram. All Rights Reserved.

ISBN: 9780521518505
ISBN-10: 0521518504
Series: Cambridge Aerospace Series
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 312
Published: 23rd August 2010
Publisher: Cambridge University Press
Country of Publication: GB
Dimensions (cm): 26.1 x 18.7  x 2.4
Weight (kg): 0.79