Riemannian metric of the averaged energy minimization problem in orbital transfer with low thrust

Bernard Bonnard; Jean-Baptiste Caillau

Annales de l'I.H.P. Analyse non linéaire (2007)

  • Volume: 24, Issue: 3, page 395-411
  • ISSN: 0294-1449

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Bonnard, Bernard, and Caillau, Jean-Baptiste. "Riemannian metric of the averaged energy minimization problem in orbital transfer with low thrust." Annales de l'I.H.P. Analyse non linéaire 24.3 (2007): 395-411. <http://eudml.org/doc/78741>.

@article{Bonnard2007,
author = {Bonnard, Bernard, Caillau, Jean-Baptiste},
journal = {Annales de l'I.H.P. Analyse non linéaire},
keywords = {orbit transfer; energy minimization; averaging; Riemannian approximation},
language = {eng},
number = {3},
pages = {395-411},
publisher = {Elsevier},
title = {Riemannian metric of the averaged energy minimization problem in orbital transfer with low thrust},
url = {http://eudml.org/doc/78741},
volume = {24},
year = {2007},
}

TY - JOUR
AU - Bonnard, Bernard
AU - Caillau, Jean-Baptiste
TI - Riemannian metric of the averaged energy minimization problem in orbital transfer with low thrust
JO - Annales de l'I.H.P. Analyse non linéaire
PY - 2007
PB - Elsevier
VL - 24
IS - 3
SP - 395
EP - 411
LA - eng
KW - orbit transfer; energy minimization; averaging; Riemannian approximation
UR - http://eudml.org/doc/78741
ER -

References

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  4. [4] Bonnard B., Caillau J.-B., Trélat E., Geometric optimal control of elliptic Keplerian orbits, Disc. Cont. Dyn. Syst. Ser. B5 (4) (2005) 929-956. Zbl1082.70014MR2170217
  5. [5] B. Bonnard, J.-B. Caillau, E. Trélat, Second order optimality conditions in the smooth case and applications in optimal control, ESAIM Control Optim. Calc. Var., in press. Zbl1123.49014MR2306634
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  7. [7] J.-B. Caillau, Contribution à l'étude du contrôle en temps minimal des transferts orbitaux, PhD thesis, ENSEEIHT, Institut National Polytechnique de Toulouse, 2000. 
  8. [8] Caillau J.-B., Gergaud J., Noailles J., Minimum time control of the Kepler equation, in: Blondel V., Megretski A. (Eds.), Unsolved Problems in Mathematical Systems and Control Theory, Princeton University Press, 2004, pp. 89-92. MR2083242
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  12. [12] S. Geffroy, Les techniques de moyennisation en contrôle optimal. Application aux transferts orbitaux à poussée continue, Master thesis, ENSEEIHT, Institut National Polytechnique de Toulouse, 1994. 
  13. [13] J. Gergaud, T. Haberkorn, Homotopy method for minimum consumption orbit transfer problem, ESAIM Control Optim. Calc. Var., in press. Zbl1113.49032MR2209355
  14. [14] Kevorkian J., Cole J.D., Perturbation Methods in Applied Mathematics, Springer-Verlag, New York, 1981. Zbl0456.34001MR608029
  15. [15] Peng S.G., Analyse asymptotique et problème homogénéisé en contrôle optimal avec vibrations rapides, SIAM J. Control Optim.27 (4) (1989) 673-696. Zbl0688.49015MR1001914
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