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arXiv · 1311.1382

New Periodic Solutions for Some Planar $N+3$-Body Problems with Newtonian Potentials

Pengfei Yuan·Shiqing Zhang
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Abstract

For some planar Newtonian $N+3$-body problems, we use variational minimization methods to prove the existence of new periodic solutions satisfying that $N$ bodies chase each other on a curve, and the other 3 bodies chase each other on another curve. From the definition of the group action in equations $(3.1)-(3.3)$, we can find that they are new solutions which are also different from all the examples of Ferrario and Terracini (2004)$[22]$.

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Pengfei Yuan, Shiqing Zhang. 2013-11-06. New Periodic Solutions for Some Planar $N+3$-Body Problems with Newtonian Potentials. https://arxiv.org/abs/1311.1382

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