Appendix C: An overview of coordinate systems
Within this text reference is made to a great many coordinate systems and the transformations between them. Implicit within this is the assumption that the tabulating grids are plaid, monotonic and equally spaced. Whilst not necessary from a theoretical stand point these conditions greatly simplify the recording process for a robotic positioner as well as simplifying the tasks of numerical integration, differentiation and interpolation. The following section presents a concise description of the most important coordinate systems and then goes on to discuss methods for representing the relationships between them like antenna mechanical system (AMS), antenna electrical system (AES), far-field plotting systems, direction cosine, azimuth over elevation, elevation over azimuth, elevation over azimuth, polar spherical, azimuth and elevation (true-view), range of spherical angles, transformation between coordinate systems, coordinate systems and elemental solid angles, relationship between coordinate systems, azimuth, elevation and roll angles, euler angles, quaternion, elemental solid angle for a true-view coordinate system.
Appendix C: An overview of coordinate systems, Page 1 of 2
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