Ball and Burmester points in Lorentzian sphere kinematics

摘要

In this work, we study Lorentzian spherical motion of rigid bodies by usinginstantaneous invariants and define Lorentzian inflection curve, Lorentzian circlingpoints curve and Lorentzian cubic of twice stationary curve, which are the loci ofpoints having the same properties during Lorentzian spherical motion of rigid bodies.Also, the intersection points of these curves are called Ball points and Burmesterpoints. We define Lorentzian Ball and Burmester points on Lorentzian sphere.