The Octahedral Collision-Based Periodic Orbit in the Three-Dimensional Six-Body Problem
| Autor: | Simmons, Skyler |
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| Rok vydání: | 2023 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | 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 between pairs of bodies located on the coordinate axes. Regularization of the collisions in the orbit is achieved by an extension of the Levi-Civita method. Initial conditions for the orbit are found numerically. In contrast to an earlier periodic collision-based orbit in three dimensions, this orbit is shown to be unstable. Comment: 26 pages, 7 figures. arXiv admin note: substantial text overlap with arXiv:2110.06174 |
| Databáze: | arXiv |
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