• Mathematics
  • Published 2006

Discrete Moser-Veselov Integrators for Spatial and Body Representations of Rigid Body Motions

@inproceedings{Dixon2006DiscreteMI,
  title={Discrete Moser-Veselov Integrators for Spatial and Body Representations of Rigid Body Motions},
  author={Matthew F. Dixon},
  year={2006}
}
The body and spatial representations of rigid body motion correspond, respectively, to the convective and spatial representations of continuum dynamics. With a view to developing a unified computational approach for both types of problems, the discrete Clebsch approach of Cotter and Holm for continuum mechanics is applied to derive (i) body and spatial representations of discrete time models of various rigid body motions and (ii) the discrete momentum maps associated with symmetry reduction for… CONTINUE READING