Polar orbits around binary stars

@article{Egan2017PolarOA,
  title={Polar orbits around binary stars},
  author={Greg Egan},
  journal={Celestial Mechanics and Dynamical Astronomy},
  year={2017},
  volume={130},
  pages={1-9}
}
  • G. Egan
  • Published 19 October 2015
  • Physics, Geology
  • Celestial Mechanics and Dynamical Astronomy
Oks proposes the existence of a new class of stable planetary orbits around binary stars, in the shape of a helix on a conical surface whose axis of symmetry coincides with the interstellar axis, and rotates with the same orbital frequency as the binary pair. We show that this claim relies on the inappropriate use of an effective potential that is only applicable when the stars are held motionless. We also present numerical evidence that the only planetary orbits whose planes are initially… 
Orbital Dynamics in the Restricted Three Body Problem: Overview of Recent Analytical Advances Obtained by Separating Rapid and Slow Subsystems in Non-Planar Configurations
Analytical solutions to a variety of simplified versions of the restricted three-body problem in celestial mechanics possess long running history that encompasses several centuries. Most of the

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