Coplanar control of a satellite around the Earth

Jean-Baptiste Caillau; Joseph Noailles

ESAIM: Control, Optimisation and Calculus of Variations (2010)

  • Volume: 6, page 239-258
  • ISSN: 1292-8119

Abstract

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We investigate the minimum time transfer of a satellite around the Earth. Using an optimal control model, we study the controllability of the system and propose a geometrical analysis of the optimal command structure. Furthermore, in order to solve the problem numerically, a new parametric technique is introduced for which convergence properties are established.

How to cite

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Caillau, Jean-Baptiste, and Noailles, Joseph. "Coplanar control of a satellite around the Earth." ESAIM: Control, Optimisation and Calculus of Variations 6 (2010): 239-258. <http://eudml.org/doc/197349>.

@article{Caillau2010,
abstract = { We investigate the minimum time transfer of a satellite around the Earth. Using an optimal control model, we study the controllability of the system and propose a geometrical analysis of the optimal command structure. Furthermore, in order to solve the problem numerically, a new parametric technique is introduced for which convergence properties are established. },
author = {Caillau, Jean-Baptiste, Noailles, Joseph},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
keywords = {Celestial mechanics; minimum time problems; geometric control; parametric optimal control.; minimum time transfer; parametric optimal control; controllability; convergence},
language = {eng},
month = {3},
pages = {239-258},
publisher = {EDP Sciences},
title = {Coplanar control of a satellite around the Earth},
url = {http://eudml.org/doc/197349},
volume = {6},
year = {2010},
}

TY - JOUR
AU - Caillau, Jean-Baptiste
AU - Noailles, Joseph
TI - Coplanar control of a satellite around the Earth
JO - ESAIM: Control, Optimisation and Calculus of Variations
DA - 2010/3//
PB - EDP Sciences
VL - 6
SP - 239
EP - 258
AB - We investigate the minimum time transfer of a satellite around the Earth. Using an optimal control model, we study the controllability of the system and propose a geometrical analysis of the optimal command structure. Furthermore, in order to solve the problem numerically, a new parametric technique is introduced for which convergence properties are established.
LA - eng
KW - Celestial mechanics; minimum time problems; geometric control; parametric optimal control.; minimum time transfer; parametric optimal control; controllability; convergence
UR - http://eudml.org/doc/197349
ER -

References

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  15. J. Noailles and T.C. Le, Contren temps minimal et transfert orbital à faible poussée. Équations aux dérivées partielles et applications, articles in honour of J.L. Lions for his 70th birthday. Gauthier-Villars (1998) 705-724.  
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