Recent Advances in Celestial and Space Mechanics

Monique Chyba, professor at the University of Hawaii-Manoa, Honolulu, USA,received her Phd in Mathematics from the University of Geneva and theUniversity of Burgundy (1997). Her expertise lies in the development of geometricoptimal control methods and its application to real problems especially fromphysics, biology and engineering. Her contribution varies from robotics,especially optimal guidance and navigation of autonomous underwater vehicles,to applications in the medical field. Her most recent work focuses on designingefficient spacecraft rendezvous mission with temporarily captured orbiters,mathematical modeling of brain morphogenesis based on the distribution of theextracellular matrix structures fractones and the optimization of the protein misfolding cyclic amplificationprocedure.Bernard Bonnard, professor at the University ofBurgundy and member of the INRIA Team Mc Tao at Sophia Antipolis, France,received his PhD in Mathematics at University of Metz (1978) and completed hisThèse d’ Etat at Grenoble (1983). He is a specialist of geometric optimalcontrol focusing the use of differential geometry, Dynamical systems andControl techniques to analyze optimal control problems and in particular therole of singular trajectories. Other contributions are in sub-Riemanniangeometry with applications to the swimming problem at low Reynolds number. His recent domain of applications are spacemechanics (attitude control, re-entry shuttle problem, orbital transfer)and control of dissipative quantumsystems with applications to MRI (contrast problem).

• Preface.- List of Contributors.- Integrability and Non-Integrability of N-Body  Problems.- Relative Equilibria in the Full N-Body Problem with Applications to the Equal Mass Problem.- Station Keeping Strategies for a Solar Sail in the Solar System.- Minimum Fuel Trip from a L2 Earth-Moon Halo Orbit to Asteroid 2006 RH120.- Low-Thrust Transfers Between Libration Point Orbits Without Explicit Use of Manifolds.- Time-Minimum Control of the Elliptic Restricted Three-Body Problem Applied to Space Transfer.- On Local Optima in Minimum Time Control of the Restricted Three-Body Problem.