Pedal coordinates and free double linkage

@article{Blaschke2021PedalCA,
  title={Pedal coordinates and free double linkage},
  author={Petr Blaschke and Filip Blaschke and Martin Blaschke},
  journal={Journal of Geometry and Physics},
  year={2021}
}
Using the technique of pedal coordinates we investigate the orbits of a free double linkage. We provide a geometrical construction for them and also show a surprising connection between this mechanical system and orbits around a Black Hole and solutions of Dark Kepler problem. 

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