Special Session 58: 

A New Collision-Based Periodic Orbit in Three Dimensions

Skyler Simmons
Utah Valley University
USA
Co-Author(s):    
Abstract:
I will present a collision-based periodic orbit of eight bodies in three dimensions, in which each body collides in turn with its nearest three neighbors. A construction of the orbit, its regularization, and determination of the initial conditions will be given. Results relating to stability in multiple settings will also be discussed.