Geometry Distorting 3-D SRFs 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 orthonormal coordinates for a spherical ORM. An example would be using Augmented Lambert Conformal Conic, projected from a sphere as a framework for an atmospheric model.
The assumptions involved must be understood when using such data to create an environmental data set in a simulation coordinate system.