In this paper, we investigate the crab gaits of a quadruped. Some impo
rtant characteristics that simplify the analysis of crab gaits are pre
sented, and several formulas for optimizing the longitudinal gait stab
ility margin of a quadruped crab gait are derived by incorporating the
time weighting factor. The analysis and implementation of the gait ha
ve been simplified by employing a pseudo-world coordinate frame as a r
eference frame for describing footholds and vehicle's motion. We also
suggest a unique gait which optimizes gait stability margin according
to the range of crab angle. Finally, we consider the effects of variat
ions of footholds on stability and maximum permissible stroke in terms
of support boundary angle. The results derived in this paper contain
previous works on the forward walking gait as a special case of the cr
ab gait.