Corpus ID: 220128320

The path to instability in multi-planetary systems

  title={The path to instability in multi-planetary systems},
  author={A. Petit and G. Pichierri and M. Davies and A. Johansen},
  journal={arXiv: Earth and Planetary Astrophysics},
The dynamical stability of tightly packed exoplanetary systems remains poorly understood. While for a two-planet system a sharp stability boundary exists, numerical simulations of three and more planet systems show that they can experience instability on timescales up to billions of years. Moreover, an exponential trend between the planet orbital separation measured in units of Hill radii and the survival time has been reported. While these findings have been observed in numerous numerical… Expand


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A&A proofs: manuscript no. instab
  • Icarus,
  • 1996
15 Appendix A: Notations summary We present in table A.1 a summary of the notations used in this article
  • 2007