Spinors as a tool to compute orbital ephemeris

In this paper, the Spinors of the physical 3-D Euclidean spaces of Geometric Algebras over a finite dimensional vector space are defined. Action of Spinors on Euclidean spaces is discussed. The technique for the calculation of ephemeris using Spinors is illustrated. In this process sequences of Spinors in their half angle form as well as their matrix form are used and compared. It is shown that when large number of rotations is involved, Spinor matrix methods are advantageous over the Spinor half angle method.