Acceleration axes and acceleration pole curves of motion in semi-Euclidean n-space

Abstract

In this study of the one parameter motion X=gXo+C, $g in SO_v(n)$ of semi-Euclidean n — space, we give the state of the acceleration axes with respect to rank $dot{g}$ and rank $ddot{ğ}$. We then show that the acceleration pole curves of this motion exist for rank $ddot{g}$ = n. Finally, we investigate the sliding-rolling of the acceleration pole curves upon each other.