By Donald G. Saari, Alain Chenciner, Richard Chushman, Clark Robinson, Zhihong Jeff Xia (ed.)
This quantity displays the lawsuits from a global convention on celestial mechanics held at Northwestern collage (Evanston, IL) in get together of Donald Saari's 60th birthday. Many prime specialists and researchers awarded their fresh effects. Many prime specialists and researchers awarded their fresh effects. Don Saari's major contribution to the sector got here within the past due Nineteen Sixties via a chain of vital works. His paintings revived the singularity thought within the $n$-body challenge which used to be begun by way of Poincari and Painlevi. Saari's answer of the Littlewood conjecture, his paintings on singularities, collision and noncollision, on significant configurations, his decompositions of configurational velocities, etc., are nonetheless a lot studied this day and have been mirrored during the conference.This quantity covers a variety of subject matters of present examine, from crucial configurations to balance of periodic orbits, from variational the way to diffusion mechanisms, from the dynamics of secular structures to international dynamics of the sunlight structures through frequency research, from Hill's challenge to the low strength move orbits and undertaking layout in house shuttle, and extra. This vintage box of analysis is particularly a lot alive this present day and this quantity bargains a entire illustration of the newest learn effects. Works by way of Don Saari released by way of the AMS contain ""Chaotic Elections! A Mathematician seems to be at Voting"", ""ELECT"", ""Hamiltonian Dynamics and Celestial Mechanics"" (""Contemporary Mathematics"" sequence, quantity 198), ""CONM/198"", and ""Hamiltonian Dynamical Systems"" (""Contemporary Mathematics"" sequence, quantity eighty one) ""CONM/81""