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20082023
most citedLinear Stability for Some Symmetric Periodic Simultaneous Binary Collision Orbits in the Four-Body Problem

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math.DS2023

The Octahedral Collision-Based Periodic Orbit in the Three-Dimensional Six-Body Problem

Skyler Simmons

We construct a highly-symmetric periodic orbit of six bodies in three dimensions. In this orbit, binary collisions occur at the origin in a regular periodic fashion, rotating betwe…