Periodic orbits of the N-body problem in celestial mechanics

Applied and Computational Mathematics Seminar
Monday, April 20, 2009 - 13:00
1 hour (actually 50 minutes)
Skiles 255
Brigham Young
In this talk, I will show many interesting orbits in 2D and 3D of the N-body problem. Some of them do not have symmetrical property nor with equal masses. Some of them with collision singularity. The methods of our numerical optimization lead to search the initial conditions and properties of preassigned orbits. The variational methods will be used for the prove of the existence.