Recently I found myself manipulating ellipses continously while tinkering with my engines physics or updating my physics library. Usually, it would mean a 5-10 minute pause in my workflow as I would try to solve for one parameter of the ellipse given what I have. After doing it for the nth time I decided to tabulate every single parameter of an ellipse in terms of its other parameters.
Below you can see the results for the semi-major axis, \(a\). For a full pdf of the results click HERE for Tabulate Equations of Common Ellipse Parameters or to the GitHub page where it is hosted HERE