K. Alemany and R. D. Braun, Survey of global optimization methods for low-thrust, multiple asteroid tour missions, AAS/AIAA Space Flight Mechanics Meeting, p.42, 2007.

E. Allgower and K. Georg, Numerical Continuation Methods, p.31, 1990.
DOI : 10.1007/978-3-642-61257-2

R. H. Battin, An Introduction to the Mathematics and Methods of Astrodynamics AIAA Education Series, 1 edition, pp.49-50, 2001.

. Caskill, Recent improvements in ionization costs and ion cyclotron heating eciency in the vasimr engine, 44th AIAA Aerospace Sciences Meeting and Exhibit, p.7, 2006.

E. [. Betts and . Cramer, Application of direct transcription to commercial aircraft trajectory optimisation, Journal of Guidance, Control and Dynamics, vol.18, issue.1, p.80, 1995.

. G. Bcm-]-e, R. A. Birgin, J. M. Castillo, and . Martínez, Numerical comparison of augmented lagrangian algorithms for nonconvex problems, p.105

R. [. Bertrand and . Epenoy, New smoothing techniques for solving bangbang optimal control problems -numerical results and statistical interpretation . Optimal Control: Applications and Methods, pp.171-197, 2002.

D. Bertsekas, Constrained optimization and Lagrange multiplier methods Academic press, p.93, 1982.

D. Bertsekas, Nonlinear Programming, p.105, 1995.

R. Bertrand, Optimisation de trajectoires interplanétaires sous hypothèses de faible poussée, 2001.

J. T. Betts, Survey of Numerical Methods for Trajectory Optimization, Journal of Guidance, Control, and Dynamics, vol.21, issue.2, pp.14-16, 1998.
DOI : 10.2514/2.4231

A. Bryson and Y. C. Ho, Applied Optimal Control, pp.86-93, 1975.

W. [. Betts and . Human, Mesh renement in direct transcription methods for optimal control, Optimal Control Applications and Methods, vol.19, issue.6, p.82, 1998.

G. [. Benson, T. P. Huntington, A. V. Thorvaldsen, and . Rao, Direct trajectory optimization and costate estimation via an orthogonal collocation method, Journal of Guidance, Control and Dynamics, vol.29, issue.6, p.81, 2006.

B. [. Bischof, A. Lang, and . Vehreschild, Automatic dierentiation for matlab programs, Proc. Appl, p.60, 2003.

. M. Bmn-+-05-]-v, D. R. Becerra, S. J. Myatt, J. M. Nasuto, D. Bishop et al., An ecient pruning technique for the global optimisation of multiple gravity assist trajectories, Proceedings of Global Optimisation, p.37, 2005.

O. Bolza, Vorlesungen Uber VariationsRechtung, p.78, 1933.

F. W. Boltz, Orbital motion under continuous radial thrust, Journal of Guidance, Control, and Dynamics, vol.14, issue.3, p.49, 1991.
DOI : 10.2514/3.20690

F. W. Boltz, Orbital Motion Under Continuous Tangential Thrust, Journal of Guidance, Control, and Dynamics, vol.15, issue.6, pp.15031507-15031556, 1992.
DOI : 10.2514/3.56583

S. [. Coverstone-carroll and . Williams, Optimal low thrust trajectories using dierential inclusion concepts, Journal of the Astronautical Science, vol.42, issue.4, pp.379-393, 1994.

T. Ceolin, Optimisation of Impulsive Thrusts for the Calculation of Heliocentric Trajectories and Planetary Station Acquisition, p.28, 1998.

W. [. Dontchev, V. M. Hager, and . Veliov, Second-order RungeKutta approximations in control constrained optimal control, SIAM Journal on Numerical Analysis, vol.38, issue.1, pp.202226-82, 2001.

V. [. Dargent and . Martinot, An integrated tool for low-thrust optimal control orbit transfers in interplanetary trajectories, Proceedings of the 18th International Symposium on Space Flight Dynamics, p.115, 2004.

M. [. Dantzig and . Thapa, Linear Programming: Theory and Extensions . Springer Series in Operations Research, p.105, 1997.

B. [. Enright and . Conway, Discrete approximations to optimal trajectories using direct transcription and nonlinear programming, Journal of Guidance, Control, and Dynamics, vol.15, issue.4, p.80, 1992.
DOI : 10.2514/3.20934

J. [. Elliot, M. J. Foster, and . Patterson, An Overview of the High Power Electric Propulsion (HiPEP) Project, 40th AIAA/ASME/SAE/ASEE Joint Propulsion Conference and Exhibit, p.7, 2004.
DOI : 10.2514/6.2004-3453

A. Engelsone, Direct Transcription Methods in Optimal Control: Theory and Practice, p.82, 2006.

I. [. Fahroo and . Ross, Costate Estimation by a Legendre Pseudospectral Method, Journal of Guidance, Control, and Dynamics, vol.24, issue.2, p.81, 2001.
DOI : 10.2514/2.4709

I. [. Fahroo and . Ross, Direct trajectory optimization by a chebyshev pseudospectral method, Journal of Guidance, Control and Dynamics, vol.25, issue.1, p.81, 2002.

]. Y. Gao07 and . Gao, Low-thrust interplanetary transfers, including escape and capture trajectories, Journal of Guidance, Control and Dynamics, vol.30, issue.6, p.79, 2007.

D. Gaylor, Optimal Low-Thrust Trajectories for Planetary Capture Air Force Institute of Technology, p.79, 1988.

F. [. Gong, I. M. Fahroo, and . Ross, Spectral Algorithm for Pseudospectral Methods in Optimal Control, Journal of Guidance, Control, and Dynamics, vol.31, issue.3, p.82, 2008.
DOI : 10.2514/1.32908

P. E. Gill, W. Murray, and M. Saunders, User's guide for SNOPT Version 7: Software for Large-Scale Nonlinear Programming, pp.60-146, 2008.

N. [. Graichen and . Petit, Constructive Methods for Initialization and Handling Mixed State-Input Constraints in Optimal Control, Journal of Guidance, Control, and Dynamics, vol.31, issue.5, pp.13341343-88, 2008.
DOI : 10.2514/1.33870
URL : https://hal.archives-ouvertes.fr/hal-00447826

B. [. Herman and . Conway, Direct optimization using collocation based on high-order Gauss-Lobatto quadrature rules, Journal of Guidance, Control, and Dynamics, vol.19, issue.3, p.81, 1996.
DOI : 10.2514/3.21662

P. [. Haberkorn, J. Martinon, and . Gergaud, Low Thrust Minimum-Fuel Orbital Transfer: A Homotopic Approach, Journal of Guidance, Control, and Dynamics, vol.27, issue.6, p.31, 2004.
DOI : 10.2514/1.4022
URL : https://hal.archives-ouvertes.fr/inria-00271161

]. D. Hul97 and . Hull, Conversion of optimal control problems into parameter optimization problems, Journal of Guidance, Control and Dynamics, vol.20, issue.1, p.80, 1997.

D. G. Hull, Optimal Control Theory for Applications. Mechanical engineering Seris, p.81, 2003.

G. T. Huntington, Advancement and Analysis of a Gauss Pseudospectral Transcripton for Optimal Control Problems, p.81, 2007.

D. Izzo, V. M. Becerra, D. R. Myatt, S. J. Nasuto, and J. M. Bishop, Search space pruning and global optimisation of multiple gravity assist spacecraft trajectories, Journal of Global Optimization, vol.11, issue.2???4, pp.283296-283333, 2006.
DOI : 10.1007/s10898-006-9106-0

D. Izzo, Lambert's Problem for Exponential Sinusoids, Journal of Guidance, Control, and Dynamics, vol.29, issue.5, pp.12421245-12421290, 2006.
DOI : 10.2514/1.21796

]. B. Jar75 and . Jarmark, Convergence control in dienretial dynamic programming applied to air-to-air combat, AIAA Journal, vol.14, issue.1, 1975.

B. A. Jarmark, A missile duel between two aircraft, Journal of Guidance, Control, and Dynamics, vol.8, issue.4, p.103, 1983.
DOI : 10.2514/3.20012

G. , R. Jahn, and E. Y. Choueiri, Encyclopedia of Physical Science and Technology, p.5, 2002.

S. [. Jehn, D. Campagnola, S. Garcia, and . Kemble, Low thrust approach and gravitational capture at mercury, 18th international Symposium on Space Flight Dynamics, p.79, 2001.

D. H. Jacobson and D. Q. Mayne, Dierential Dynamic Programming, pp.92-99, 1970.

F. T. Johnson, Approximate finite-thrust trajectory optimization., AIAA Journal, vol.7, issue.6, pp.993-997, 1969.
DOI : 10.2514/3.5265

J. Kennedy and R. Eberhart, Particle swarm optimization, Proceedings of ICNN'95, International Conference on Neural Networks, p.29, 1995.
DOI : 10.1109/ICNN.1995.488968

]. R. Kea97 and . Kearfott, Interval computations: Introduction, uses, and ressources, p.31, 1997.

M. [. Koon, J. E. Lo, S. D. Marsden, and . Ross, Low Energy Transfer to the Moon, Celestial Mechanics and Dynamical Astronomy, vol.81, issue.1, pp.6373-6389, 2001.
DOI : 10.1007/978-94-017-1327-6_8

]. C. Klu02 and . Kluever, Optimal earth-capture trajectories using electric propulsion, Journal of Guidance, Control and Dynamics, vol.25, issue.3, p.79, 2002.

Y. Kawajir, C. Laird, and A. Wachter, Introduction to IPOPT: A tutorial for downloading, installing, and using IPOPT, p.89, 2006.

J. [. Koon, M. W. Marsden, S. D. Lo, and . Ross, Constructing a low energy transfer between Jovian moons, Contemporary Mathematics, vol.292, pp.129-145, 2002.
DOI : 10.1090/conm/292/04919

B. [. Kluever and . Pierson, Optimal low-thrust three-dimensional earthmoon trajectories, Journal of Guidance, Control and Dynamics, vol.18, issue.4, p.79, 1995.
DOI : 10.2514/3.21466

D. F. Lawden, Calculation of singular extremal rocket trajectories, Journal of Guidance, Control, and Dynamics, vol.15, issue.6, p.28, 1992.
DOI : 10.2514/3.11397

M. Lp-]-torbjörn-larsson and . Patriksson, An augmented lagrangean scheme for capacitated trac assignment problems, p.105

V. [. Lewis and . Torczon, A globally convergent augmented lagrangian pattern search algorithm for optimization with general constraints and simple bounds. ICASE 98-31, p.105, 1998.

J. [. Laurent-varin, N. Bonnans, C. Berend, and . Talbot, Interior-Point Approach to Trajectory Optimization, Journal of Guidance, Control, and Dynamics, vol.30, issue.5, p.82, 2007.
DOI : 10.2514/1.18196
URL : https://hal.archives-ouvertes.fr/inria-00070395

J. E. Mcintyre and L. Crocco, Optimal transfer between close cirbular orbits using the pontryaguin maximum principle, p.113, 1964.

A. [. Markopoulos and . Calise, Analytical investigations in aircraft and spacecraft trajectory optimization and optimal guidance, pp.45-56, 1995.

[. Smith, Switching and Learning in Feedback Systems, State of the Art Survey, Lecture Notes in Computer Science, vol.3355

C. [. Melbourne, ]. W. Sauer, C. G. Melbourne, and . Sauer, Optimum interplanetary rendezvous trajectories with power limited vehicles Performance computations with pieced solutions of planetocentric and heliocentric trajectories for low thrust missions . JPL Space Programs Summary, AIAA Journal, vol.1, issue.4, pp.37-73, 1963.

J. K. Miller and C. J. Weeks, Application of Tisserand's Criterion to the Design of Gravity Assist Trajectories, AIAA/AAS Astrodynamics Specialist Conference and Exhibit, pp.16-24, 2002.
DOI : 10.2514/6.2002-4717

]. D. Mya03 and . Myatt, Advanced global optimisation for mission analysis and design. ARIADNA study 04, p.28, 2003.

]. A. Neu04 and . Neumaier, Complete search in continuous global optimisation and constraint satisfaction, Acta Numerica, p.29, 2004.

S. [. Nah, E. Vadali, and . Braden, Fuel-optimal, low-thrust, threedimensional earth-mars trajectories, Journal of Guidance, Control and Dynamics, vol.24, issue.6, p.79, 2001.

]. J. Oly07a and . Olympio, Global trajectory optimisation: Can we prune the solution space when considering deep space maneuvers? ARIADNA study 06, pp.28-32, 2007.

]. J. Oly07b and . Olympio, Mixed thrust -coast arc model for interplanetary gravity assist trajectory. In 58th IAC, 24-28 sept, p.46, 2007.

]. J. Oly08 and . Olympio, Algorithm for low-thrust optima interplanetary transfers with escape and capture phases, AIAA Astrodynamic Specialist Conference, p.119, 2008.

]. A. Pet02 and . Petropoulos, A review of some exact solutions to the planar equations of motion of a thrusting spacecraft, 2nd International Symposium Low Thrust Trajectories, pp.45-46, 2002.

C. [. Pierson and . Kluever, Three-stage approach to optimal low-thrust Earth-moon trajectories, Journal of Guidance, Control, and Dynamics, vol.17, issue.6, pp.1275-1282, 1994.
DOI : 10.2514/3.21344

J. [. Petropoulos and . Longuski, Shape-Based Algorithm for the Automated Design of Low-Thrust, Gravity Assist Trajectories, AAS/AIAA Astrodynamics Specialists Conference, pp.45-46, 2001.
DOI : 10.2514/1.13095

J. [. Petropoulos, E. P. Longuski, and . Bonglio, Trajectories to jupiter via gravity assists from venus, earth, and mars, Journal of Spacecraft and Rockets, vol.37, issue.6, pp.23-46, 2000.

L. S. Pontryaguin, Mathematical Theory of Optimal Process, pp.84-85, 1953.

J. E. Prussing, Geometrical interpretation of the angles ? and ? in the lambert's problem, Journal of Guidance, vol.2, issue.5, p.26, 1979.

S. [. Prussing and . Sandrik, Second-order necessary and suffucient conditions applied to continuous-thrust trajectories, p.102, 2002.

M. [. Parsopoulos and . Vrahatis, Particle swarm optimization method for constrained optimization problems, p.29, 1995.

T. [. Rayman, C. T. Fraschetti, C. A. Russel, and . Raymond, Dawn: A mission in development for exploration of main belt asteroids vesta and ceres Preparing for the dawn mission to vesta and ceres, 55th International Astronautical Congress 56th International Astronautical Congress, 2004.

C. [. Ranieri and . Ocampo, Indirect optimization of two-dimensional nite burning interplanetary transfers including spiral dynamics, Journal of Guidance, Control and Dynamics, vol.31, issue.3, p.79, 2008.

I. M. Ross, User's Manual for DIDO: A MATLAB Application Package for Solving Optimal Problems, Naval Postgraduate School, p.82, 2003.

]. R. Rus07, Primer vector theory applied to global low-thrust trade studies

C. G. Sauer, Solar electric performance for medlite and delta class planetary missions, AAS/AIAA Astrodynamics Specialist Conference, pp.79-67, 1997.

B. [. Scheel and . Conway, Optimization of very-low-thrust, many-revolution spacecraft trajectories, Journal of Guidance, Control, and Dynamics, vol.17, issue.6, p.80, 1994.
DOI : 10.2514/3.21331

H. Seywald, Trajectory optimisation based on dierential inclusion, Journal of Guidance, Control and Dynamics, vol.17, issue.3, p.81, 1994.

S. [. Sims and . Flanagan, Preliminary design of low thrust interplanetary missions, AAS/AIAA Astrodynamics Specialist Conference, p.46, 1999.

R. Serban, W. S. Koon, M. W. Lo, J. E. Marsden, L. R. Petzold et al., Halo orbit mission correction maneuvers using optimal control, Automatica, vol.38, issue.4, pp.571583-571586, 2002.
DOI : 10.1016/S0005-1098(01)00279-5

J. [. Strange and . Longuski, Graphical method for gravity assist trajectory design, Journal of Spacecraft and Rockets, vol.39, p.24, 2002.

A. Schwartz, E. Polak, and Y. Chen, RIOTS95: A Matlab. Toolbox for Solving Optimal Control Problems, Version. 1.0, p.82, 1997.

S. Tadashi, A Study of Variable Thrust, Variable Specic Impulse trajectories for Solar System Exploration, p.83, 2004.

B. [. Tang and . Conway, Optimization of low-thrust interplanetary trajectories using collocation and nonlinear programming, Journal of Guidance, Control, and Dynamics, vol.18, issue.3, p.81, 1995.
DOI : 10.2514/3.21429

E. Trelat, Commande Optimale, notes de cours, 2007.

A. Torn and A. Zilinskas, Global Optimisation. 1 edition, 1988.

M. Vasile and P. Depascale, Preliminary design of low thrust multiple gravity assist trajectories, Journal of Spacecraft and Rockets, vol.43, issue.5, pp.1065-1076, 2006.

D. A. Vallado and W. D. Mcclain, Fundamentals of Astrodynamics and Applications, p.26, 1997.

R. [. Vadali and . Nah, Fuel optimal planer earth-mars trajectories using low-thrust exhaust modulated propulsion, Journal of Guidance, Control and Dynamics, vol.23, issue.3, p.79, 2000.

. M. Vsd05, L. Vasile, P. Summerer, and . Depascale, Design of earth-mars transfer trajectories using evolutionary branching technique, Acta Astronautica, vol.56, pp.705-720, 2005.

. M. Vsj05, O. Vasile, O. Schütze, and . Junge, Spiral trajectories in global optimisation of interplanetary and orbital transfers, p.45, 2005.

L. [. Wächter and . Biegler, On the implementation of an interior-point filter line-search algorithm for large-scale nonlinear programming, Mathematical Programming, vol.10, issue.1, pp.25-57, 2006.
DOI : 10.1007/s10107-004-0559-y

G. J. Whien, Application of a novel optimal control algorithm to low thrust trajectory optimization, AAS/AIAA Space Flight Mechanics Meeting, pp.79-91, 2001.

G. J. Whien and J. A. Sims, Application of the sdc optimal control algorithm to low thrust escape and capture including fourth body eects, 2nd International Symposium on Low Thrust Trajectories, p.79, 1820.

B. [. Williamson and . Tapley, Ricatti transformations for control optomization usiing second variation, IEEE Transactions on Automatic Control, vol.17, issue.102, p.93, 1972.

C. [. Zimmer and . Ocampo, Analytical gradients for gravity assist trajectories using constant specic impulse engines, Journal of Guidance, Control and Dynamics, vol.28, issue.4, p.86, 2005.