Abstract: A method and device are described for defining a pair of position angles needed to measure an angular location of a point in space with respect to a central point using a sphere having surface measurements substantially similar to a Cartesian coordinate system, and a cardinal point with a pair of angular coordinates thereof that represent the pair of position angles. The method may also be performed using a substantially Cartesian two dimensional surface wherein the diameter of the sphere divided by the fractional length of the coordinate along the X and Y axes provides the X and Y angular values of the pair of position angles, respectively. Such features enable use of this method for simplification of computational tasks, as well as more readily understandable graphics and devices regarding the position, trajectory, and orientation of an object in space.

Abstract: A method and device are described for defining a pair of position angles needed to measure an angular location of a point in space with respect to a central point using a sphere having surface measurements substantially similar to a Cartesian coordinate system, and a cardinal point with a pair of angular coordinates thereof that represent the pair of position angles. The method may also be performed using a substantially Cartesian two dimensional surface wherein the diameter of the sphere divided by the fractional length of the coordinate along the X and Y axes provides the X and Y angular values of the pair of position angles, respectively. Such features enable use of this method for simplification of computational tasks, as well as more readily understandable graphics and devices regarding the position, trajectory, and orientation of an object in space.