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image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Journal of Spacecraf...arrow_drop_down
image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
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Thrust Magnitude Constraint Handling for Low-Thrust Trajectory Optimization

Authors: Bryn Fanger; Ryan P. Russell;

Thrust Magnitude Constraint Handling for Low-Thrust Trajectory Optimization

Abstract

A detailed analysis of six control constraint methods for thrust magnitude limitations is presented. The inequality augmented Lagrangian and penalty inequality augmented Lagrangian methods are widely used, whereas the box, Heaviside augmented Lagrangian, and penalty Heaviside augmented Lagrangian methods are less common. The newly coined implicit method uses a simple cosine function to bound relevant decision variables. Cartesian and spherical control frames with normalization schemes are also examined, along with techniques for avoiding singularities. The resulting 27 submethods are applied to 10 diverse spacecraft trajectory optimization problems with up to 10 revolutions, including both bang-bang and smooth thrusting profiles. The results confirm that proper scaling is paramount for consistent performance across widely varying test cases. The implicit method is the simplest to implement, does not require tuning, and demonstrates the best median performance of all the nonapproximate solution methods.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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