From Wolfram Mathworld[1], we have the following relations for the unit vectors in a Spherical coordinate system:
Next, we need to change all the and to . We use the following relations, also available on the same page[1]:
Using these, we can find the following quantities:
Lastly, we simply need to substitute these relations into our first set of equations to obtain our desired result:
- ↑ 1.0 1.1 http://mathworld.wolfram.com/SphericalCoordinates.html