The Tailor Expansion in Astrophysics

When we solve the first order differential, second order regular small angle approximation differential equation, we get a frequency of oscillation. This is when we have to start looking at the higher order terms in the tailor expansion. And you can no longer say, signt data is approximately thata - which was the whole basis of understanding its equations of motion with small angle in the first place. All those easy equations come from the fundamental fact that scint data equals data. Here's the thing. Astrophysics is hilarious. We just had a problem set where in the question, they're literally, they just say, be very careless.