How to make a point move along an ellipse (tilted oval)?

Question

JavaScript

Hello. Need help in writing the formula for moving a point along an ellipse (more like an oval in a slope). I managed to write the oval formula in a vertical position without problems, but in the slope there were difficulties.
To make it clearer jsfiddle.net/andreybazykin/4e404rbr You need to make the second point move along this trajectory, by analogy with the first one.
Thanks in advance for your help.

Answer 1

Example codepen.io/cleric/pen/mfyaE
The easiest way is to simply rotate the canvas itself. This is done for the second ellipse.
If the additional element is rotated, like the third ellipse, then you just need to apply the rotation matrix .
Which once again proves that linear algebra, mathematical analysis and other mathematics are not only the lot of game development.

Answer 2

Something like this, the center needs to be shifted only
jsfiddle.net/4e404rbr/1