Using Desmos graphing calculator, I am trying to create an accurate 2D model of our solar system. Currently, I have created all of the planets using completely circular orbits, which can then be easily animated using a slider and a bit of trigonometry. For instance the graph for Neptune
However, now I am adding in some other objects, including Pluto, Ceres and comets, I can no longer ignore the elliptical properties of their orbits. For Pluto I have specified its orbital path
yet I cannot work out how to animate its movement as I did on equation 84 and 85 on the first image. Any suggestions would be greatly appreciated.