A Study on a Spacelike Line Trajectory in Lorentzian Locomotions

In this study, we establish a novel Lorentzian interpretation of the Euler–Savary (E−S) and Disteli (Dis) formulae. Subsequently, proceed to theoretical structure for torsion line congruence which is spatial symmetry circling-point dual curve, in accordance with principles kinematic theory spherical locomotions. Further, timelike (Tlike) defined its equivalence examined. The findings contribute an enhanced comprehension interplay between axodes movements, has possible significance various disciplines, such as fields robotics mechanical engineering.