Three-body problem - from Newton to supercomputer plus machine learning

@article{Liao2021ThreebodyP,
  title={Three-body problem - from Newton to supercomputer plus machine learning},
  author={Shijun Liao and Xiaoming Li and Yu Yang},
  journal={ArXiv},
  year={2021},
  volume={abs/2106.11010}
}
The famous three-body problem can be traced back to Newton in 1687, but quite few families of periodic orbits were found in 300 years thereafter. As proved by Poincar\`{e}, the first integral does not exist for three-body systems, which implies that numerical approach had to be used in general. In this paper, we propose an effective approach and roadmap to numerically gain planar periodic orbits of three-body systems with arbitrary masses by means of machine learning based on an artificial… 

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