| Abstract: |
| I will present two collision-based periodic orbits of equal masses in three dimensions. The first orbit features eight bodies whose positions lie at the vertices of a rectangular prism at all times, in which each body collides in turn with its nearest three neighbors. The second orbit features six bodies which lie at the vertices of an octahedron at all times, with collisions occurring between opposite vertices at the origin. A construction of both orbits, regularization, and determination of the initial conditions will be given. Results relating to stability will also be discussed. |
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