Publication: Sensitivity Analysis for Time Optimal Orbit Transfer
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Sensitivity Analysis for Time Optimal Orbit Transfer

- Article in a journal -
 

Author(s)
Jean-Baptiste Caillau , Joseph Noailles

Published in
Optimization

Year
2001

Abstract
In order to apply a parametric method to a minimum time control problem in celestial mechanics, a sensitivity analysis is performed. The analysis is continuous in the sense that it is done in the infinite dimensional control setting. The resulting sufficient second order condition is evaluated by means of automatic differentiation, while the associated sensitivity derivative is computed by continuous reverse differentiation. The numerical results are given for several examples of orbit transfer, also illustrating the advantages of automatic differentiation over finite differences for the computation of gradients on the discretized problem.

BibTeX
@ARTICLE{
         Caillau2001SAf,
       author = "Jean-Baptiste Caillau and Joseph Noailles",
       title = "Sensitivity Analysis for Time Optimal Orbit Transfer",
       journal = "Optimization",
       pages = "327--350",
       key = "Caillau2001SAf",
       abstract = "In order to apply a parametric method to a minimum time control problem in
         celestial mechanics, a sensitivity analysis is performed. The analysis is continuous in the sense
         that it is done in the infinite dimensional control setting. The resulting sufficient second order
         condition is evaluated by means of automatic differentiation, while the associated sensitivity
         derivative is computed by continuous reverse differentiation. The numerical results are given for
         several examples of orbit transfer, also illustrating the advantages of automatic differentiation
         over finite differences for the computation of gradients on the discretized problem.",
       referred = "[Caillau2001OCS].",
       year = "2001",
       volume = "49",
       number = "4"
}


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