@article{AIHPC_2007__24_3_395_0, author = {Bonnard, Bernard and Caillau, Jean-Baptiste}, title = {Riemannian metric of the averaged energy minimization problem in orbital transfer with low thrust}, journal = {Annales de l'I.H.P. Analyse non lin\'eaire}, pages = {395--411}, publisher = {Elsevier}, volume = {24}, number = {3}, year = {2007}, doi = {10.1016/j.anihpc.2006.03.013}, mrnumber = {2319940}, zbl = {1127.49017}, language = {en}, url = {http://www.numdam.org/articles/10.1016/j.anihpc.2006.03.013/} }
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 SP - 395 EP - 411 VL - 24 IS - 3 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.anihpc.2006.03.013/ DO - 10.1016/j.anihpc.2006.03.013 LA - en ID - AIHPC_2007__24_3_395_0 ER -
%0 Journal Article %A Bonnard, Bernard %A Caillau, Jean-Baptiste %T Riemannian metric of the averaged energy minimization problem in orbital transfer with low thrust %J Annales de l'I.H.P. Analyse non linéaire %D 2007 %P 395-411 %V 24 %N 3 %I Elsevier %U http://www.numdam.org/articles/10.1016/j.anihpc.2006.03.013/ %R 10.1016/j.anihpc.2006.03.013 %G en %F AIHPC_2007__24_3_395_0
Bonnard, Bernard; 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, Tome 24 (2007) no. 3, pp. 395-411. doi : 10.1016/j.anihpc.2006.03.013. http://www.numdam.org/articles/10.1016/j.anihpc.2006.03.013/
[1] Introduction to Numerical Continuation Methods, Classics Appl. Math., vol. 45, SIAM, Philadelphia, 2003. | MR | Zbl
, ,[2] Mathematical Methods of Classical Mechanics, Springer-Verlag, New York, 1978. | MR | Zbl
,[3] Integrable Geodesics Flows on Two-Dimensional Surfaces, Kluwer, New York, 2000. | Zbl
, ,[4] Geometric optimal control of elliptic Keplerian orbits, Disc. Cont. Dyn. Syst. Ser. B 5 (4) (2005) 929-956. | MR | Zbl
, , ,[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. | Numdam | MR | Zbl
[6] Singular Trajectories and their Role in Optimal Control, Math. Appl., vol. 40, Springer-Verlag, Paris, 2003. | MR | Zbl
, ,[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] Minimum time control of the Kepler equation, in: , (Eds.), Unsolved Problems in Mathematical Systems and Control Theory, Princeton University Press, 2004, pp. 89-92. | MR
, , ,[9] Averaging and deterministic optimal control, SIAM J. Control Optim. 25 (3) (1987) 767-780. | MR | Zbl
,[10] Optimal low-thrust transfers with constraints: generalization of averaging techniques, Acta Astronaut. 41 (3) (1997) 133-149.
, ,[11] Oscillations en biologie : analyse qualitative et modèles, Math. Appl., vol. 46, Springer-Verlag, Paris, 2005. | MR | Zbl
,[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] J. Gergaud, T. Haberkorn, Homotopy method for minimum consumption orbit transfer problem, ESAIM Control Optim. Calc. Var., in press. | Numdam | MR | Zbl
[14] Perturbation Methods in Applied Mathematics, Springer-Verlag, New York, 1981. | MR | Zbl
, ,[15] Analyse asymptotique et problème homogénéisé en contrôle optimal avec vibrations rapides, SIAM J. Control Optim. 27 (4) (1989) 673-696. | MR | Zbl
,[16] Théorie mathématiques des processus optimaux, Mir, Moscou, 1974. | MR | Zbl
et al. ,[17] Trajectoires Spatiales, CNES-Cepadues, Toulouse, 1987.
,Cité par Sources :