Non-real World 3-D Systems are often Used. Why ?
Newton’s second law of motion for a fixed or inertial reference frame is
For a rotating system Va can be written
In which case the relative acceleration becomes
Transforming these to any system of earth related coordinate systems will result in very complex equations. However, under certain assumptions they can take on a relatively simple form, particularly in rectangular coordinates for a spherical ERM. An example would be using Augmented Lambert Conformal Conic projected off of a sphere as a framework for an atmospheric model.
The assumptions involved must be understood when using such data to create an SNE data set in a simulation coordinate system.