Hamiltonian Systems and Celestial Mechanics (HAMSYS-98) : proceedings of the III International Symposium : Pátzcuaro, Michoacán, Mexico, 7-11 December 1998

This volume is an outgrowth of the Third International Symposium on Hamiltonian Systems and Celestial Mechanics. The main topics are Arnold diffusion, central configurations, singularities in few-body problems, billiards, area-preserving maps, and geometrical mechanics. All papers in the volume went through the refereeing process typical of a mathematical research journal. The rhomboidal charged four body problem, F. Alfaro and E. Perez-Chavela planetary rings with shepherds, L. Benet and T.H. Seligman low Reynolds number swimming in two dimensions, A. Cherman et al 2-dimensional invariant Tori for the spatial isosceles 3-body problem, M. Corbera and J. Llibre the global flow for the synodical spatial Kepler problem, M.P. Dantas and J. Llibre unbounded growth of energy in periodic perturbations of geodesic flows of the torus, A. Delshams et al splitting and Meinikov potentials in Hamiltonian systems, A. Delshams and P. Gutierrez infinity manifolds of cubic polynomial Hamiltonian vector fields with 2 degrees of freedom, M. Falconi et al relativistic corrections to elementary Galilean dynamics and deformations of Poisson brackets, R. Flores-Espinoza and Y.M. Vorobjev heteroclinic phenomena in the Sitnikov problem, A. Garcia and E. Perez-Chavela) doubly-symmetric periodic solutions of Hill's lunar problem, R.C. Howison and K.R. Meyer on practical stability regions for the motion of a small particle close to the equilateral points of the real earth-moon system, A. Jorba variational methods for quasi-periodic solutions of partial differential equations, R. de la Llave the splitting of invariant Lagrangian submanifolds - geometry and dynamics, J.-P. Marco cross-sections in the planar N-body problem, C. McCord existence of an additional first integral and completeness of the flow for Hamiltonian vector fields, J. Mucino-Raymundo simplification of perturbed Hamiltonians through Lie transformations, J. Palacian and P. Yanguas linear stability in the 1 + N-Gon relative equilibrium, G.E. Roberts analytic continuation of circular and elliptic Kepler motion to the general 3-body problem, J. Soler the phase space of finite systems, K.B. Wolf et al.