I need to know how one would evaluate this expression given:
Here's the expression for the major radius a and minor radius b of an ellipse:
Where:
Those are all approximations (With the exception of the sum/product), I'm familiar with those and I have my own approximation whose error cannot exceed:
Where e is eccentricity and for my particular case, it is:
So, the approximation is very close, yet I wish to have an exact measurement, and according to my research, this is one of four exact methods.
I was wondering how to use the series above. I'm not very experienced with infinite series, which is why I posted it.