| name & dimensionality | kind | in/out | description | 
|---|
|  |  |  |  | 
| theta | DP | IN | colatitude in radians measured southward from north pole (in ![$[0,\ \pi] $](sub_img131.png) ). | 
| phi | DP | IN | longitude in radians measured eastward (in ![$[0,\ 2\pi] $](sub_img132.png) ). | 
| vector(3) | DP | OUT | three dimensional cartesian position vector  normalised to unity. The north pole is  |