A new inclination instability reshapes Keplerian discs into cones: application to the outer Solar system

@article{Madigan2016ANI,
  title={A new inclination instability reshapes Keplerian discs into cones: application to the outer Solar system},
  author={Ann-Marie Madigan and Michael McCourt},
  journal={Monthly Notices of the Royal Astronomical Society},
  year={2016},
  volume={457}
}
Disks of bodies orbiting a much more massive central object are extremely common in astrophysics. When the orbits comprising such disks are eccentric, we show they are susceptible to a new dynamical instability. Gravitational forces between bodies in the disk drive exponential growth of their orbital inclinations and clustering in their angles of pericenter, expanding an initially thin disk into a conical shape by giving each orbit an identical 'tilt' with respect to the disk plane. This new… 

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