ADVANCED SPINOR TOOLS FOR THE COMPUTATIONAL TRACKING OF NEAR-EARTH OBJECTS

In this paper Spinors of Euclidean spaces of Geometric Algebras over a real field are defined and their algebraic and rotational properties are discussed. The advantage of using Spinors in solving problems of Celestial Mechanics is illustrated by studying the tracking problem of near Earth objects. It is shown that this technique of using spinors can replace the conventional methods and also provide a richer formalism.