How Can I Handle Collisions with Ovals in My Code?

Have you looked into using swept circles or capsules? They can often simplify collision detection and manage interactivity better, especially if you're not strictly tied to using ovals. It might open up some flexibility in your coding without complicating your mathematics too much!

This seems like more of a math problem than strictly a programming one. While circle collision detection is simple, doing the same for ellipses can be really complicated. For example, finding the perimeter of a circle is straightforward, but for an ellipse, it involves solving an elliptic integral which isn’t simple at all.

If you have two aligned ellipses of the same shape, you might transform them back into circles for easier intersection calculation, but this won't work generally. Here's a [link to a Math Stack Exchange post](https://math.stackexchange.com/questions/655619/intersection-of-ellipse-with-circle) that discusses reducing circle/ellipse intersections into polynomial terms, which could help you out!

You might want to reconsider using ovals for collision detection. Circles are preferred because the calculations are quite straightforward—just a couple of right-angled triangles with their hypotenuses representing the distances. With rectangles, the math gets slightly more complex, but it's still manageable.

When it comes to ovals, accurately calculating their radius at various angles becomes tricky and computationally heavy since you need the exact angle and to employ more complex formulas. Just a thought before diving in too deep!