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

  title={The applicability of the third integral of motion: Some numerical experiments},
  author={Michel H{\'e}non and Carl Heiles},
  journal={The Astronomical Journal},
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. 

The third integral of motion

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Stockholms Obs . Ann . 19 , No . 10 . . 1958 , iM . 20 , No . 5 . . 1960 , Z

  • 1957