Geometric parametrization of binary elastic collisions

@article{Silva2006GeometricPO,
  title={Geometric parametrization of binary elastic collisions},
  author={Amaro J. Rica da Silva and Jos{\'e} P. S. Lemos},
  journal={American Journal of Physics},
  year={2006},
  volume={74},
  pages={584-590}
}
A geometric view of the possible outcomes of elastic collisions of two massive bodies is developed that integrates laboratory, center of mass, and relative body frames in a single diagram. From these diagrams all the scattering properties of binary collisions can be obtained. The particular case of gravitational scattering by a moving massive object corresponds to the slingshot maneuver, and its maximum velocity is obtained. 
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