Sensitivity Methods Applied to Orbital Pursuit Evasion

Sensitivity methods are applied to the orbital pursuit–evasion(PE) problem, in which saddle-point optimal trajectory solutions are found simultaneously for a pursuer and an evader spacecraft in an orbital dynamics environment. In the state of the art, this problem has been solved using computational...

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Bibliographic Details
Published in:Journal of guidance, control, and dynamics control, and dynamics, 2015-06, Vol.38 (6), p.1118-1126
Main Authors: Hafer, William T., Reed, Helen L., Turner, James D., Pham, Khanh
Format: Article
Language:English
Subjects:
Aerospace engineering
Methods
Optimization
Orbital mechanics
Pursuit-evasion games
Saddle points
Sensitivity
Spacecraft
Trajectory optimization
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Summary:Sensitivity methods are applied to the orbital pursuit–evasion(PE) problem, in which saddle-point optimal trajectory solutions are found simultaneously for a pursuer and an evader spacecraft in an orbital dynamics environment. In the state of the art, this problem has been solved using computationally intensive methods, e.g., random search and collocation [1,2]. These methods offer, in principle, a global solution capability for complex nonlinear optimization problems; however, they also possess high computational demands. The aim of this Note is to demonstrate useful applications of sensitivity methods in the context of orbital PE, which is a challenging optimization problem with relevance to spacecraft safety and trajectory design in a contested environment.
ISSN:0731-5090
1533-3884
DOI:10.2514/1.G000832