Twisting Somersault

@article{Dullin2016TwistingS,
  title={Twisting Somersault},
  author={Holger R. Dullin and William Tong},
  journal={SIAM J. Applied Dynamical Systems},
  year={2016},
  volume={15},
  pages={1806-1822}
}
A complete description of twisting somersaults is given using a reduction to a time-dependent Euler equation for non-rigid body dynamics. The central idea is that after reduction the twisting motion is apparent in a body frame, while the somersaulting (rotation about the fixed angular momentum vector in space) is recovered by a combination of dynamic and geometric phase. In the simplest “kick-model” the number of somersaults m and the number of twists n are obtained through a rational rotation… CONTINUE READING

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