E. L. Allgower and K. Georg, Introduction to numerical continuation methods, SIAM, 2003.
DOI : 10.1137/1.9780898719154

A. Bella¨?chebella¨?che and J. Risler, Sub-Riemannian geometry, 1996.

J. T. Betts and S. Erb, Optimal Low Thrust Trajectories to the Moon, SIAM Journal on Applied Dynamical Systems, vol.2, issue.2, pp.144-170, 2003.
DOI : 10.1137/S1111111102409080

J. M. Boardman, Singularities of differentiable maps, Publ. Math. IHES, pp.33-383, 1967.

A. Bombrun, J. Chetboun, and J. Pomet, Transfert Terre-Lune en poussée faible par contrôle feedback. La mission SMART-1, INRIA Research report, issue.5955, pp.1-27, 2006.

A. Bombrun and J. Pomet, The Averaged Control System of Fast-Oscillating Control Systems, SIAM Journal on Control and Optimization, vol.51, issue.3, pp.1-27, 2011.
DOI : 10.1137/11085791X

URL : https://hal.archives-ouvertes.fr/hal-00648330

B. Bonnard, J. Caillau, and E. Trélat, Geometric optimal control of elliptic Keplerian orbits, Discrete Contin. Dyn. Syst. Ser. B, vol.5, issue.4, pp.929-956, 2005.
URL : https://hal.archives-ouvertes.fr/hal-00086345

B. Bonnard and M. Chyba, Singular trajectories and their role in control theory, 2003.

B. Bonnard, N. Shcherbakova, and D. Sugny, The smooth continuation method in optimal control with an application to quantum systems, ESAIM: Control, Optimisation and Calculus of Variations, vol.17, issue.1, pp.267-292, 2010.
DOI : 10.1051/cocv/2010004

J. Caillau, O. Cots, and J. Gergaud, Differential continuation for regular optimal control problems, Optimization Methods and Software, vol.41, issue.6, pp.177-196, 2012.
DOI : 10.1145/279232.279235

J. Caillau, B. Daoud, and J. Gergaud, On some Riemannian aspects of two and three-body controlled problems. Recent Advances in Optimization and its Applications in Engineering, Proceedings of the 14th Belgium-Franco-German conference on Optimization, pp.205-224, 2009.
URL : https://hal.archives-ouvertes.fr/hal-00432635

J. Caillau, B. Daoud, and J. Gergaud, Discrete and differential homotopy in circular restricted three-body control, Proceedings of 8th AIMS Conference on Dynamical Systems , Differential Equations and Applications, pp.229-239, 2010.
URL : https://hal.archives-ouvertes.fr/hal-00586226

J. Caillau, J. Gergaud, and J. Noailles, 3D Geosynchronous Transfer of a Satellite: Continuation on the Thrust, Journal of Optimization Theory and Applications, vol.3, issue.3, pp.541-565, 2003.
DOI : 10.1023/B:JOTA.0000004870.74778.ae

URL : https://hal.archives-ouvertes.fr/hal-00540254

J. Caillau and J. Noailles, Coplanar control of a satellite around the Earth, ESAIM: Control, Optimisation and Calculus of Variations, vol.6, pp.239-258, 2001.
DOI : 10.1051/cocv:2001109

URL : https://hal.archives-ouvertes.fr/hal-00540251

F. C. Chittaro and G. Stefani, Singular extremals in multi-input time-optimal problem: A sufficient condition, Control Cybernet, vol.39, issue.4, pp.1029-1068, 2010.

Y. Chitour, A continuation method for motion-planning problems, ESAIM: Control, Optimisation and Calculus of Variations, vol.12, issue.1, pp.139-168, 2006.
DOI : 10.1051/cocv:2005035

T. N. Edelbaum, Optimum low-thrust rendezvous and station keeping, AIAA Journal, vol.2, issue.7, pp.1196-1201, 1964.
DOI : 10.2514/3.2521

G. Gómez, A. Jorba, J. Madesmont, and C. Simó, Dynamics and mission design near libration points Advanced methods on collinear points, 2001.

G. A. Jones and D. Singerman, Complex Functions. An Algebraic and Geometric Viewpoint, 1987.

V. Jurdjevic, Geometric control theory Minimum time control of the restricted three-body problem 28, 1996.

I. Kupka, Generalized Hamiltonians and optimal control: A geometric study of extremals, Proceedings of the International Congress of Mathematicians, pp.1180-1189, 1987.

I. Kupka and G. Sallet, A sufficient condition for the transitivity of pseudosemigroups: Application to system theory, J. Differential. Eq, pp.47-462, 1983.

B. Malgrange, Ideals of differentiable functions, 1967.

J. E. Marsden and S. Ross, New methods in celestial mechanics and mission design, Bulletin of the American Mathematical Society, vol.43, issue.01, pp.43-73, 2006.
DOI : 10.1090/S0273-0979-05-01085-2

J. W. Milnor, Topology from the Differentiable Viewpoint, 1997.

G. Mingotti and F. Topputo, Low-energy, low-thrust transfers to the Moon, Celestial Mechanics and Dynamical Astronomy, vol.1065, issue.1-3, pp.61-74, 2009.
DOI : 10.1007/s10569-009-9220-7

M. T. Ozimek and K. C. Howell, Low-Thrust Transfers in the Earth-Moon System, Including Applications to Libration Point Orbits, Journal of Guidance, Control, and Dynamics, vol.33, issue.2, pp.533-549, 2010.
DOI : 10.2514/1.43179

G. Racca, SMART-1 mission description and development status, Planetary and Space Science, vol.50, issue.14-15, pp.1323-1337, 2002.
DOI : 10.1016/S0032-0633(02)00123-X

C. L. Siegel and J. K. Moser, Lectures on celestial mechanics, 1971.
DOI : 10.1007/978-3-642-87284-6

H. Sussmann, Orbits of families of vector fields and integrability of distributions, Transactions of the American Mathematical Society, vol.180, pp.171-188, 1973.
DOI : 10.1090/S0002-9947-1973-0321133-2

H. Sussmann, A continuation method for nonholonomic path-finding problems, Proceedings of 32nd IEEE Conference on Decision and Control, pp.2718-2723, 1993.
DOI : 10.1109/CDC.1993.325689

V. Szebehely, Theory of orbits: The restricted problem of three bodies, 1967.