Lie Algebra Contributions to Instantaneous Plane Kinematics

Authors : İlhan KARAKILIÇ, Derya BAYRIL AYKUT

Pages : 62-67

Doi:10.54286/ikjm.1230895

View : 90 | Download : 110

Publication Date : 2023-08-22

Article Type : Research Paper

Abstract :Roth and Bottema obtain the instantaneous properties of a plane motion and its inverse motion by the instantaneous invariants depending on a canonical frame which was introduced in Veldkamp\`s dissertationinsert ignore into journalissuearticles values(1963);. We obtain the instantaneous invariants depending on the same frame by using Lie algebra of the plane motion.
Keywords : Geometric kinematics, instantaneous invariants, Lie algebra, time independent planar motion