Ball and Burmester points in Lorentzian sphere kinematics

Abstract

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