Polar Form of Conic Sections - Part 2

In this video, we discuss the variations of the polar form of conic sections, which we derived in the previous video as...

r = \frac{ed}{1+e\cos\theta}

This equation can also be written as...

r = \frac{l}{1+e\cos\theta}

where l denotes the length on the semi-latus rectum.

If we mirror the geometric definition of the conic, you will see that equally, we can have

r = \frac{l}{1-e\cos\theta}

And if we rotate this geometry by 90˚ in the counter clockwise direction, we can have

r = \frac{l}{1\pm e\sin\theta}