Unit Vectors for Similar Oblate Spheroidal Coordinates and Vector
  Transformation
  The unit vectors transformation between the Cartesian and the novel Similar
Oblate Spheroidal coordinates, and vice versa, is derived. It can help to
transform vector fields between these two types of orthogonal coordinates which
can advantageously simplify solutions of problems exhibiting oblate spheroidal
geometry. Several examples demonstrate the use of the derived relations.
Generalized sine and cosine applicable in Similar Oblate Spheroidal coordinate
system are introduced.
