Celestial Mechanics

This volume reflects the proceedings from an international conference on celestial mechanics held at Northwestern University (Evanston, IL) in celebration of Donald Saari's sixtieth birthday. Many leading experts and researchers presented their recent results. Many leading experts and researchers presented their recent results. Don Saari's significant contribution to the field came in the late 1960s through a series of important works. His work revived the singularity theory in the $n$-body problem which was started by Poincari and Painlevi. Saari's solution of the Littlewood conjecture, his work on singularities, collision and noncollision, on central configurations, his decompositions of configurational velocities, etc., are still much studied today and were reflected throughout the conference.This volume covers various topics of current research, from central configurations to stability of periodic orbits, from variational methods to diffusion mechanisms, from the dynamics of secular systems to global dynamics of the solar systems via frequency analysis, from Hill's problem to the low energy transfer orbits and mission design in space travel, and more. This classic field of study is very much alive today and this volume offers a comprehensive representation of the latest research results. Works by Don Saari published by the AMS include "Chaotic Elections! A Mathematician Looks at Voting", "ELECT", "Hamiltonian Dynamics and Celestial Mechanics" ("Contemporary Mathematics" series, Volume 198), "CONM/198", and "Hamiltonian Dynamical Systems" ("Contemporary Mathematics" series, Volume 81) "CONM/81".