Gauge theory of the falling cat

@inproceedings{Montgomery1993GaugeTO,
  title={Gauge theory of the falling cat},
  author={R. Montgomery},
  year={1993}
}
Kane and Scher [18] proposed a mechanical model in order to explain and better understand how a falling cat rights herself. Their model cat consists of two identical axi-symmetric rigid bodies which are joined by a special 'no-twist' joint. The first problem is for the model cat to right herself while in freefall with no angular momentum beginning from an upside-down position. Kane and Scher, and earlier Rademaker and ter Braak [25]' proposed a specific strategy for doing this. But they did not… Expand
72 Citations
Geometric Mechanics and Symmetry: From Finite to Infinite Dimensions
  • 199
  • PDF
Twisting Somersault
  • 9
  • PDF
Configuration Spaces in Fundamental Physics
  • 17
  • PDF
The square cat
  • 7
  • PDF
Lectures on Mechanics
  • 417
  • PDF
...
1
2
3
4
5
...

References

SHOWING 1-10 OF 11 REFERENCES
A THEOREM ON HOLONOMY
  • 271
  • PDF
Isoholonomic problems and some applications
  • 176
Self-propulsion at low Reynolds number.
  • 139
Calculus of variations via the Griffiths formalism
  • 75
Geodesics which do not satisfy the geodesic equations, submitted to Math. Zeitschrift
  • 1991
...
1
2
...