The applicability of the third integral of motion: Some numerical experiments

@article{Hnon1964TheAO,
  title={The applicability of the third integral of motion: Some numerical experiments},
  author={Michel H{\'e}non and Carl Heiles},
  journal={The Astronomical Journal},
  year={1964},
  volume={69},
  pages={73-79}
}
The problem of the existence of a third isolating integral of motion in an axisymmetric potential is investigated by numerical experiments. It is found that the third integral exists for only a limited rage of initial conditions. 

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  • 1957