In this paper, we have introduced one-parameter Lorentzian spherical motion. In addition to that, we have given the relations between the absolute, relative, and sliding velocities of these motions. Furthermore, the relations between fixed and moving pole curves in the Lorentzian spherical motions have also been obtained. At the end of this study, we have expressed the Euler-Savary formula for the one-parameter Lorentzian spherical motions.

Issue Section:
Technical Papers
Keywords:
geometry, classical mechanics, kinematics, Lorentzian geometry, Lorentzian motions, Eular-Savary formula
Topics:
Geometry, Poles (Building), Rotation, Theorems (Mathematics), Trajectories (Physics), Kinematics
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Copyright © 2007
 by American Society of Mechanical Engineers
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