The dynamics of a rigid body in potential flow with circulation

@article{Vankerschaver2010TheDO,
  title={The dynamics of a rigid body in potential flow with circulation},
  author={Joris Vankerschaver and Eva Kanso and Jerrold E. Marsden},
  journal={Regular and Chaotic Dynamics},
  year={2010},
  volume={15},
  pages={606-629}
}
We consider the motion of a two-dimensional body of arbitrary shape in a planar irrotational, incompressible fluid with a given amount of circulation around the body. We derive the equations of motion for this system by performing symplectic reduction with respect to the group of volume-preserving diffeomorphisms and obtain the relevant Poisson structures after a further Poisson reduction with respect to the group of translations and rotations. In this way, we recover the equations of motion… 

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