One Parameter Elliptic Motions in Three-Dimensional Space

Abstract

Elliptical motions have been defined by three different right-handed coordinate systems. The motion of these coordinate systems depends on the time parameter which has great importance in robotics. In particular, it is used in a model of a robot arm manipulator to achieve high performance. Hence, we have expressed some theorems and results concerning this elliptical motion. Besides, the special cases of this motion have been discussed.