. Transfertàtransfert, Transfertà consommation minimale pour F max = 10 Newtons, p.91

F. Trajectoire-pour, 60 Newtons, subdivision non uniforme (R x = 1, 4), p.92

A. Andre¨?andre¨? and M. Sigalotti, On the local structure of control functions corresponding to time-optimal trajectories in R 3, SIAM Journal On Control and Optimization, vol.42, issue.2, pp.513-531, 2003.

A. Andre¨?andre¨?, S. Gianni, and Z. Pierluigi, An invariant second variation in optimal control, International Journal of Control, vol.71, issue.5, pp.689-715, 1998.

A. Andre¨?andre¨?, S. Gianni, and Z. Pierluigi, Strong optimality for a bang-bang trajectory, SIAM Journal On Control and Optimization, vol.41, issue.4, pp.991-1014, 2002.

A. Eugene and G. Kurt, Numerical continuation methods : an introduction, 1990.

A. Vladimir, Mathematical methods of classical mechanics, 1978.

B. Michael, D. Laurence, S. Hersom, and Z. Maany, The solution of some difficult problems in low-thrust interplanetary trajectory optimization, Optimal Control Applications and Methods, vol.9, issue.3, pp.229-251, 1988.

B. Régis and R. Epenoy, New smoothing techniques for solving bang-bang optimal control problems -Numerical results and statistical interpretation, Optimal Control Applications and Methods, vol.23, issue.4, pp.171-197, 2002.

B. Christian, C. Alan, C. George, G. Andreas, and H. Paul, AdiFOR -generating derivative codes from Fortran programs, Scientific Programming, pp.1-29, 1992.

B. Bernard, On singular extremals in the time-minimal control problem in R 3, SIAM Journal On Control and Optimization, vol.23, issue.5, pp.794-802, 1985.

B. Bernard, J. Antonio, L. Françoise, L. , and E. Panteley, Introduction to nonlinear optimal control Advanced topics in control systems theory, Lecture Notes in Control and Information Sciences, vol.328, pp.1-60, 2005.

B. Bernard, J. , and C. , Riemannian metric of the averaged energy minimization problem in orbital transfer with low thrust. Annales de l'Institut Henri Poincaré, 2006.

B. Bernard, C. Jean-baptiste, R. Francesca, C. Asen, D. et al., Riemannian metric of the averaged controlled Kepler equation, IFIP International Federation for Information Processing Proceedings of 22 nd IFIP TC 7 Conference on System Modeling and Optimization, pp.79-89, 2005.

B. Bernard, C. Jean-baptiste, and R. Dujol, Averaging and optimal control of elliptic Keplerian orbits with low propulsion. System and Control Letters, pp.755-760, 2006.

B. Bernard, C. Jean-baptiste, and R. Dujol, Remarks on quadratic hamiltonians in spaceflight mechanics, 3 rd IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control, pp.287-290, 2006.

B. Bernard, C. Jean-baptiste, R. Salah, L. Antonio, L. et al., Smooth approximations of single-input controlled keplerian trajectories : homotopies and averaging, Françoise LAMNABHI Taming Heterogeneity and Complexity of Embedded Control International Scientific & Technical Encyclopaedia (ISTE). Proceedings of the CTS-HyCon Workshop on Nonlinear and Hybrid Controli, pp.73-96, 2006.

B. Bernard, C. Jean-baptiste, and R. Dujol, Averaging and optimal control of elliptic keplerian orbits with low propulsion, Proceedings of 13 th IFAC Workshop on Control Applications of Optimization, pp.20-25, 2006.

B. Bernard, C. Jean-baptiste, and R. Dujol, Smooth homotopies for single-input time optimal orbital transfer, Proceedings of 13 th IFAC Workshop on Control Applications of Optimization, pp.26-31, 2006.

B. Bernard, C. Jean-baptiste, and E. Trélattr´trélat, Geometric optimal control of elliptic Keplerian orbits. Discrete and Continuous Dynamical Systems ? Series B, pp.929-956, 2005.

B. Bernard, C. Jean-baptiste, and E. Trélattr´trélat, Second order optimality conditions in the smooth case and applications in optimal control. ESAIM Control, Optimisation and Calculus of Variations, ` a para??trepara??tre

B. Bernard and C. Monique, Singular trajectories and their role in control theory, of Mathématiques et Applications, 2003.

B. Bernard, D. Jérôme, and . Morant, Towards a geometric theory in the time-minimal control of chemical batch reactors, SIAM Journal On Control and Optimization, vol.33, issue.5, pp.1279-1311, 1995.

B. Alberto, A high order test for optimality of bang-bang controls, SIAM Journal On Control and Optimization, vol.23, issue.1, pp.38-48, 1985.

C. Jean-baptiste, ContributionàContribution`Contributionà l'´ etude du contrôle en temps minimal des transferts orbitaux, Thèse de doctorat, 2000.

C. Jean-baptiste, D. Romain, G. Joseph, H. Thomas, M. Pierre et al., Mise au point d'une méthode de résolution efficace pour lesprobì emes de contrôle optimaì a solution " bang-bang " : application au calcul de trajectoiresàtrajectoires`trajectoiresà poussée faible, 2003.

C. Jean-baptiste, D. Romain, and J. Noailles, Construction de transferts d'orbites sous-optimaux, 12èmes12`12èmes Journées du groupe SMAI-MODE, pp.25-27, 2004.

C. Jean-baptiste, G. Joseph, and J. Noailles, TfMin : Short reference manual

C. Jean-baptiste, G. Joseph, and J. Noailles, 3D geosynchronous transfer of a satellite : continuation on the thrust, Septembre 2003. [31] Jean-Baptiste CAILLAU and Joseph NOAILLES. Planning of Keplerian trajectories, pp.541-565, 2003.

C. Lamberto, Optimization theory and applications, 1983.

C. François, Averaging and deterministic optimal control, SIAM Journal On Control and Optimization, vol.25, issue.3, pp.767-780, 1987.

D. Romain, Construction de transferts d'orbites sous-optimaux Rapport de stage de fin d'´ etudes d'ingénieur, ´ Ecole Nationale, 2003.

F. Erwin, Low-order classical RUNGE-KUTTA formulas with stepsize control and their application to some heat transfer problems, 1969.

F. Christophe and E. Richard, Optimal control for engines with electro-ionic propulsion under constraint of eclipse, Acta Astronautica, vol.48, issue.4, pp.181-192, 2001.

G. Sophie, Généralisation des techniques de moyennation en contrôle optimal, application auxprobì emes de rendez-vous orbitauxàorbitaux`orbitauxà poussée faible

G. Sophie and E. Richard, Optimal low-thrust transfers with constraints ? generalization of averaging techniques, Acta Astronautica, vol.41, issue.3, pp.133-149, 1997.

G. Joseph, Résolution numérique deprobì emes de commande op-timalè a solution bang-bang par des méthodes homotopiques simpliciales, Thèse de doctorat, 1989.

G. Joseph and H. Thomas, Homotopy method for minimum consumption orbit transfer problem. ESAIM Control, Optimisation and Calculus of Variations, pp.294-310, 2006.

H. Thomas, Transfert orbitaì a poussée faible avec minimisation de la consommation : résolution par homotopie différentielle, Thèse de doctorat, 2004.

H. Thomas, M. Pierre, and J. Gergaud, Low thrust minimum-fuel orbital transfer : a homotopic approach, Journal of Guidance , Control, and Dynamics, vol.27, issue.6, pp.1046-1060, 2004.

J. Velimir, Geometric control theory, 1997.

K. Jirair and C. Julian, Perturbation Methods in Applied Mathematics, 1981.

K. Arthur, The high order principle and its applications to singular extremals, SIAM Journal On Control and Optimization, vol.15, issue.2, pp.256-293, 1977.

K. Ivan, Generalized hamiltonians and optimal control : a geometric study of extremals, Proceedings of the 20th International Congress of Mathematicians, 1986.

C. Thanh and L. , Contrôle optimal et transfert orbital en temps minimal, Thèse de doctorat, 1999.

E. Lee and M. Lawrence, Foundations of optimal control theory, 1967.

M. Jean-pierre, Optimal space trajectories, 1979.

M. Pierre, Résolution numérique deprobì emes de contrôle optimal par une méthode homotopique simpliciale, Thèse de doctorat, 2005.

M. Helmut, C. B. Uskens, K. Jang-ho, and Y. Kaya, Optimization methods for the verification of second order sufficient conditions for bang-bang controls, Optimal Control Applications and Methods, vol.26, issue.3, pp.129-156, 2005.

M. Helmut and N. Osmolovskii, Second order sufficient conditions for time-optimal bang-bang control, SIAM Journal On Control and Optimization, vol.42, issue.6, pp.2239-2263, 2004.

N. Vinh, H. Kuo, S. Christian, and M. , Optimal time-free nodal transfers between elliptical orbits, Acta Astronautica, vol.17, issue.8, pp.875-880, 1988.
DOI : 10.1016/0094-5765(88)90170-1

O. Hans and K. Taubert, Existence and multiple solutions of the minimum-fuel orbit transfer problem, Journal of Optimization Theory and Applications, vol.95, issue.2, pp.243-262, 1997.

P. Rémy and T. Olivier, Transfert optimal d'un satellite entre deux orbites keplériennes, 2005.

P. Lev, B. Vladimir, G. Revaz, and E. Mishchenko, Mathematical theory of optimal processes, 1962.

P. Michael, A hybrid method for nonlinear equations [58] Andre¨?Andre¨? SARYCHEV. Sufficient optimality condition for pontryagin extremals, Numerical Methods for Nonlinear Algebraic Equations, pp.87-114451, 1970.

S. Andre¨?andre¨?, First-and second-order sufficient optimality conditions for bang-bang controls, SIAM Journal On Control and Optimization, vol.35, issue.1, pp.315-340, 1997.

S. Heinz and . Sch¨attler, The local structure of time-optimal trajectories in dimension three under generic conditions, SIAM Journal On Control and Optimization, vol.26, issue.4, pp.899-918, 1988.

S. Heinz and . Sch¨attler, On the local structure of time-optimal bang-bang trajectories in R 3, SIAM Journal On Control and Optimization, vol.26, issue.1, pp.186-204, 1988.

S. Lawrence, W. Herman, and S. Davenport, Solving nonstiff ordinary differential equations : the state of the art, SIAM Review, vol.18, issue.3, pp.376-411, 1976.

S. Gianni and Z. Pierluigi, Optimality conditions for a constrained optimal control problem, SIAM Journal On Control and Optimization, vol.34, issue.2, pp.635-659, 1996.

S. Hector, A bang-bang theorem with bounds on the number of switchings, SIAM Journal On Control and Optimization, vol.17, issue.5, pp.629-651, 1979.

S. Hector, The structure of time-optimal trajectories for singleinput systems in the plane : the general real analytic case, SIAM Journal On Control and Optimization, vol.25, issue.4, pp.868-904, 1987.

S. Hector, The structure of time-optimal trajectories for singleinput systems in the plane : the C ? nonsingular case, SIAM Journal On Control and Optimization, vol.25, issue.2, pp.433-465, 1987.

W. Layne, Numerical linear algebra aspects of globally convergent homotopy methods, SIAM Review, vol.28, issue.4, pp.529-545, 1986.

Z. Olivier, Trajectoires spatiales.Cépadù esÉditionses´esÉditions, 1987.