The Stability of Multi-Planet Systems

  title={The Stability of Multi-Planet Systems},
  author={John E. Chambers and George W. Wetherill and Alan P. Boss},
A system of two small planets orbiting the Sun on low-eccentricity, low-inclination orbits is stable with respect to close encounters if the initial semi-major axis difference, Δ, measured in mutual Hill radii,RH, exceeds[formula], due to conservation of energy and angular momentum. We investigate the stability of systems of more than two planets using numerical integrations. We find that systems with Δ 10 are also unstable. The slopebdepends weakly on the number of planets, but is independent… Expand
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