Chaos in the solar system

  title={Chaos in the solar system},
  author={Myron Lecar},
  journal={Celestial Mechanics and Dynamical Astronomy},
  • M. Lecar
  • Published 1 March 1996
  • Physics, Geology
  • Celestial Mechanics and Dynamical Astronomy
We have accumulated thousands of orbits of test particles in the Solar System from the asteroid belt to beyond the orbit of Neptune. We find that the time for an orbit to make a close encounter with a perturbing planet, Tc,is a function of the Lyapunov time, Tty.The relation is log (Tc/To)= a + b log (TlyTo)where Tois a fiducial period which we have taken as the period of the principal perturber or the period of the asteroid. There are exceptions to this rule interior to the 2/3 resonance with… 

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