KO-11   Wednesday July 10 - 08:45

MS27 Part 1 of 2 - Celestial Mechanics

MS27 Part 2 of 2

Celestial Mechanics is not just another application of the theory of differential equations. The idea of a differential equation indeed crystallized in the minds of Huygens, Hooke, Newton, Leibniz and other famous authors who shared the same obsession, that of understanding the motion of the celestial bodies. Later, the complexity of the qualitative behaviors was again described in the same framework, in Poincaré's book, Méthodes Nouvelles de la Mécanique Céleste. Our session wants to continue this old tradition of developping the theory of differential equations in the context of the problems raised by the dynamics of the celestial bodies.

Albouy Alain
Angel Jorba

08:45 - 09:15 - Alain Albouy - Transformation of the equations of dynamics [Abstract]

09:15 - 09:45 - Laurent Niederman - Quasi periodic coorbital motions [Abstract]

09:45 - 10:15 - Giovanni Federico Gronchi - On the restricted three-body problem with crossing singularities [Abstract]

10:15 - 10:45 - Alexander Batkhin - Bifurcations of families of doubly symmetric periodic solutions [Abstract]