Optimizing snake locomotion in the plane. II. Large transverse friction
arXiv:1304.4485
Abstract
We determine analytically the form of optimal snake locomotion when the coefficient of transverse friction is large, the typical regime for biological and robotic snakes. We find that the optimal snake motion is a retrograde traveling wave, with a wave amplitude that decays as the -1/4 power of the coefficient of transverse friction. This result agrees well with our numerical computations.
20 pages, 3 figures