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arXiv · 2010.15358

A stochastic optimization algorithm for analyzing planar central and balanced configurations in the $n$-body problem

Alexandru Doicu·Lei Zhao·Adrian Doicu
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Abstract

A stochastic optimization algorithm for analyzing planar central and balanced configurations in the $n$-body problem is presented. We find a comprehensive list of equal mass central configurations satisfying the Morse equality up to $n=12$. We show some exemplary balanced configurations in the case $n=5$, as well as some balanced configurations without any axis of symmetry in the cases $n=4$ and $n=10$.

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Alexandru Doicu, Lei Zhao, Adrian Doicu. 2020-10-29. A stochastic optimization algorithm for analyzing planar central and balanced configurations in the $n$-body problem. https://arxiv.org/abs/2010.15358

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