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Trajectory optimization using regularized variables.

Trajectory optimization using regularized variables
Authors: Tapley, B. D.; Szebehely, Victor G.; Lewallen, J. M.;

Trajectory optimization using regularized variables.

Abstract

Summary: When the trajectory of a space vehicle passes through regions with significantly different gravitational force magnitudes, numerical accuracy requirements often necessitate extreme computer times. In celestial mechanics, regularizing transformations are used to eliminate computational and analytical problems that occur during close approaches to gravitational force centers. Based on results obtained in celestial mechanics studies, it can be expected that regularization in the formulation of the trajectory optimization problem may benefit the convergence characteristics as well as reduce the computation time. In this investigation, regularized equations for the optimal trajectory of a space vehicle with continuous thrust are obtained. The computational characteristics of the regularized equations are compared with the characteristics of the unregularized equations using a perturbation type numerical optimization method. The comparison is made for a three-dimensional, low-thrust, Earth-Jupiter rendezvous transfer. The comparison indicates that, when the regularized equations are used, a significant reduction in computing time is obtained. Furthermore, for the values considered in this study, the convergence of the regularized equations is much less sensitive to errors in the guesses for the unknown boundary conditions.

Keywords

Collisions in celestial mechanics, regularization, Orbital mechanics

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Powered by OpenAIRE graph
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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!
15
Average
Top 10%
Top 10%
bronze