This article takes the knowledge [[Conics - Circles, Parabolas & More! (Maths)|ellipses, parabolas and hyperbolas]] as a given. Brush up on these if you haven't or else virtually nothing will make sense.
# Intro - Specific Angular Momentum
# The Orbit Equation
*This places a heavy emphasis on polar coordinate ellipses! Check them out* [[Conics - Circles, Parabolas & More! (Maths)#Polar Conic Sections|here]].
The equation is:
$r = \frac{a(1-e^2)}{1+e\cos\theta}$
>[!Abstract]- Orbit Equation Proof
>This is difficult. No holding back!
>First, we take the polar equation of an ellipse:
# What's Next