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arXiv · 1812.08654

Periodic three-body orbits in the Coulomb potential

Marija Šindik·Ayumu Sugita·Milovan Šuvakov·V. Dmitrašinović
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Abstract

We numerically discovered around 100 distinct nonrelativistic collisionless periodic three-body orbits in the Coulomb potential in vacuo, with vanishing angular momentum, for equal-mass ions with equal absolute values of charges. These orbits are classified according to their symmetry and topology, and a linear relation is established between the periods, at equal energy, and the topologies of orbits. Coulombic three-body orbits can be formed in ion traps, such as the Paul, or the Penning one, where one can test the period vs topology prediction.

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Marija Šindik, Ayumu Sugita, Milovan Šuvakov, V. Dmitrašinović. 2018-12-07. Periodic three-body orbits in the Coulomb potential. https://doi.org/10.1103/physreve.98.060101

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