 of a point on the sphere 
into its 3D position vector (x,y,z) with
 of a point on the sphere 
into its 3D position vector (x,y,z) with
 ,
, 
 ,
,  .
. 
| name & dimensionality | kind | in/out | description | 
|---|---|---|---|
| theta | double | IN | colatitude in radians measured southward from north pole (in
    [0,  ]). | 
| phi | double | IN | longitude in radians measured eastward (in [0,  ]). | 
| vector(3) | double | OUT | three dimensional cartesian position vector (x,y,z). The north pole is (0,0,1) | 
Version 3.83, 2024-11-13