Drawing elliptical orbit in Python (using numpy, matplotlib)

Question

I wonder how can I draw elliptical orbit by using the equation ay² + bxy + cx + dy + e = x² ?

I have first determined the a,b,c,d,e constants a

Answer 1

The easiest thing to do is rewrite in parametric form so that you end up with the expressions x = A cos(t); y = B sin(t). You then create a full ellipse by assigning t = [0, 2 * pi] and calculating the corresponding x and y.

Read this article which explains how to move from a general quadratic form into a parametric form.