The evolute of an ellipse is the locus of all the centers of the ellipse curves. In general, this case is investigated for all curves, but in this text, we will specifically investigate the ellipse.
The eccentricity parameter has a great effect on the width of the ellipse because this parameter can determine the shape and stretch of the ellipse. This parameter is expressed for all conical sections. If we want to specifically check the ellipse, its eccentricity must be a number between zero and one. The closer this value is to zero, the ellipse will become a circle, and the closer it is to one, the more the ellipse will be stretched.
In the next step, a MATLAB function has been written to transform the geocentric Earth-Centered Earth-Fixed Cartesian to the geodetic coordinates using Hirvonen/Moritz numerical method.