A Special Motion on Dual Hyperbolic Unit Sphere H^2 0

In this paper, we study a special motion, called conchoidal motion, on a dual hyperbolic unit sphere H̃ sup 2 /sup sub 0 /sub in the dual Lorentzian space D sup 3 /sup sub 1 /sub with dual signature (+, +, -) . Then, the results are carried over to the Lorentzian line space IR sup 3 /sup sub 1 /sub by E. Study s mapping. We also obtain the Study maps of the orbits drawn on the fixed dual hyperbolic unit sphere by unit dual vectors of an orthonormal base.